Browse Linearity problems Studdy Solved!

Problem 801

$3 x+4=-2 x-1$

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Problem 802

3. The senior classes at Basha High School and Perry High School planned separate trips to New York City. The senior class at Basha rented and filled 5 vans and 14 buses with 387 students. Perry rented and filled 14 vans and 7 buses with 343 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus. If af sudents ib the ven $=\mathrm{V}$ a) Define your variablest of Studonts in the bus $=B$ b) Set up the system of equations that represents the situation c) Solve the system by any method of your choice d) Answer in a complete sentence $5 v+14 b=387$ $14 v+7 b=343$ $19 v+216=430$

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Problem 803

(iii) the equation of the line passing through $A$ and C.
8. The lines $2 x-5=k y$ and $(k+1) x=6 y-3$ have the same gradient. Find the possible values of $k$ .

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Problem 804

Use any method to find the solution of the system of equations. $\left\{\begin{array}{l} x+5 y-3 z=-4 \\ -5 x-24 y+14 z=22 \\ -4 x-19 y+12 z=16 \end{array}\right.$ Enter the solution as an ordered triple $(x, y, z)$ $\square$ No solution.

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Problem 805

Solve the System. Give answer as $(x, y, z)$ . $\begin{array}{l} \left\{\begin{array}{l} 5 x-4 y+z=-1 \\ 10 x+4 y+3 z=2 \\ -20 x+4 y-6 z=-4 \end{array}\right. \\ (x, y, z)=\square \end{array}$

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Problem 806

Given the system of equations: $\left\{\begin{array}{l} x+y+z=-4 \\ y-3 z=-5 \\ 2 x+y+5 z=-2 \end{array}\right.$ (a) Determine the type of system: inconsistent dependent (b) If your answer is dependent, find the complete solution. Write $x, y$ , and $z$ as functions of $z$ , where $z=z$ .
If your answer is inconsistent, write DNE in the box for all three variables. $\begin{array}{l} x=\square \\ y=\square \\ z=\square \end{array}$

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Problem 807

$0 / 2$ pts 3
Given the system of equations: $\left\{\begin{array}{l} 2 x-3 y-9 z=-7 \\ x+3 z=1 \\ -3 x+y-4 z=0 \end{array}\right.$ (3) (a) Determine the type of system: dependent inconsistent (b) If your answer is dependent in (a), find the complete solution.
Write $x, y$ as functions of $z$ , where $z=z$ . If your answer is inconsistent, write DNE for all three variables. $\begin{array}{l} x=\square \\ y=\square \\ z=\square \end{array}$

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Problem 808

Question 8 Extra Credit 0/3 pts 3 19 Details
A movie theater has a seating capacity of 359 . The theater charges $\$ 5.00$ for children, $\$ 7.00$ for students, and $\$ 12.00$ of adults. There are half as many adults as there are children. If the total ticket sales was \ $2604, How many children, students, and adults attended?$ \square $children attended.$ \square $students attended.$ \square$ adults attended. Question Help: Video Submit Question

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Problem 809

Find a formula for the linear function depicted in the following graph. Enable Zoom/Pan

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Problem 810

6. Malik deposited \ $1,050 in a savings account, and it earned$ \ $241.50$ in simple interest after four years. Find the interest rate on Malik's savings account. $r=$ $\qquad$ rocount: 24.50 many $\qquad$ $\frac{47.255}{75785}=$ 3 years $\qquad$ $t=$ t $\qquad$ investment (principle)? $\qquad$ $\frac{3.240}{0.09 \times 78}$ P 3, 240 1.62 $=\$ 2,000$
DESSERT
9. Robert won $\$ 900,000$ in the North Carolina State Lottery. After paying $\$ 350,000$ in taxes, he invested the remaining money in a savings account with a $4.25 \%$ interest rate. How much money is in the account if Robert makes no deposits or withdrawals for two years? $I=4.75 .75 \mathrm{~g}$
10. Consuelo deposited an amount of money in a savings account that earned 6 After 20 years, she had earned $\$ 5,922$ in interest. What was her initial deposit? $5920=P \times 0.063 \times 20=0.063 \times 20$ $P=4,7$
11. A deposit of $\$ 2,500$ grew to $\$ 3,325$ after 6 years. What is the final value of a deposit of $\$ 7,500$ at the same interest rate for the same period of time?
12. Maria borrows $\$ 35,000$ at $6.5 \%$ simple interest per year. When Lisa pays the loan back 8 years later, what is the total amount that Lisa ends up repaying?

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Problem 811

A line that passes through the point $(-2,2)$ has a slope of $\frac{3}{8}$ .
If you use the slope to make another point, the coordinates of the new point are * Make sure point is located in quadrant I. ( type your answer... type your a

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Problem 812

Solve the syatem of equations graphed on the coordinate axes below. $\begin{array}{l} y=-\frac{1}{2} x+1 \\ y=\frac{3}{2} x+5 \end{array}$
Answer Attemplicett of io
Solution: $\square$ Shtmil Amase

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Problem 813

18 Fill in the Blank 1 point
You start a small business selling used electronics. You make your money by buying damaged goods, repairing them, and then selling them for a profit. You begin the year with 250 dollars at the start of January (January 1). You end the fiscal year with 5,000 dollars at the end of December (December 31).
Let $x$ represent time in months and let y represent US dollars. Hint: Let January be $\mathrm{x}=0$ and December be $\mathrm{x}=12$ . What was your average monthly increase in revenue throughout the year? Round to the nearest CENT (nearest hundreths): $\$$ type your answer...

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Problem 814

Solve the following system of equations graphically on the set of axes below. $\begin{array}{l} y=\frac{1}{2} x-5 \\ y=-x+4 \end{array}$
Plot two lines by clicking the graph. Click a line to delete it. Answer Bolution: $\square$

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Problem 815

Solve for $k$ $-85 k+76+48 k \leq 1$ or $59 k-78 \leq-32$ Write your answer as a compound inequality with integers, proper fractions, and improper fractions in simplest form. $\square$ or $\square$

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Problem 816

13. CCSS Persevere with Problems The equation of a line is $y=-\frac{1}{2} x+6$ . Write an equation in point-slope form for the same line. Explain the steps that you used. $\qquad$ $\qquad$ $\qquad$

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Problem 817

14. CCSS Persevere with Problems Order the steps to write a linear equation in slope-intercept form if you know the slope of the line and a point on the line. $\qquad$ Simplify the equation. $\qquad$ Use the Distributive Property to multiply the slope by $x$ and $x_{1}$ . $\qquad$ Substitute the slope $m$ and the coordinates of the point $\left(x_{1}, y_{1}\right)$ into the point-slope formula. $\qquad$ Use the Addition Property of Equality. 226 Chapter 3 Equations in Two Variables

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Problem 818

Unit 4: page 15 Example 4: Pedro left home at noon and cycled 72 km to his family cottage. His sister, Alexandra, left home on her bike at 1 PM and arrived at the cottage 12 minutes after Pedro. If she cycles, on average, $3 \mathrm{~km} / \mathrm{h}$ fasten than Pedro, how long did it take Pedro to make the trip, and what was his average speed?

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Problem 819

Q10.
Kiaria is 7 years older than Jay. Martha is twice as old as Kiaria. The sum of their three ages is 77 Find the ratio of Jay's age to Kiaria's age to Martha's age.

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Problem 820

- Whole Numbers
Evaluating an algebralc expression: Whole numbers with two operations
Evaluate the expression when $x=25$ and $y=40$ . $y-\frac{x}{5}$

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Problem 821

The linear function graphed below represents the height of a stalk of corn since a farmer began using a new fertifizer. What is the initial value?
Height of a Stalk of Corn
Number of Days Using New Fertilizer n fapt Mark this and return Save and Exit Nest Submis:

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Problem 822

Which explains whether or not the graph represents a direct variation? The graph has a constant of variation of 3 , so it represents a direct variation. The graph has a slope of 3, so it represents a direct variation. The graph has a positive slope, so it does not represent a direct variation. The graph does not begin at the origin, so it does not represent a direct variation. Mark this and return

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Problem 823

1 2 3 ( 4 5 $\square$ $\square$ $\square$ $\square$ $\square$
The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the veterinarian gives a 30 -pound $\operatorname{dog} \frac{3}{5}$ milligram of the medicine, which equation relates the weight, $w$ , and the dosage, $d$ ? $\alpha=\frac{1}{50} w$ $\alpha=\frac{3}{5} w$ $d=18 w$ $d=50 w$

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Problem 824

Which graph or equation represents a nonproportional relationship?
C $y=0.375 x$
D $y=\frac{5}{9} x$ Mark this and return Save and Exit Next Sulbmt

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Problem 825

$-2 x y-5 x=3 x+1$

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Problem 826

Devoir ex 12 p18
12 On donne: $a=(-15)+(-3)-(-5), \quad b=(-6)+(-4)+(+6)$ et $c=(-5,1)-(-4,1)-(-6,3)$ Calcule : $a ; b ; c ; a-b-c ; a-(b-c)$ et opp $(a-b+c)$

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Problem 827

Complete the process of solving the equation. Fill in the missing term on each line. Simplify any fractions. $\begin{aligned} \frac{q}{16}+10 & =13 \\ \frac{q}{16} & =\square \quad \text { Subtract } 10 \text { from both sides } \\ q & =\square \quad \text { Multiply both sides by } 16 \end{aligned}$

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Problem 828

5. Analyze each system. How would you rewrite the syste a. $\left\{\begin{array}{c}\frac{1}{2} x-5 y=-45 \\ -\frac{1}{2} x+10 y=-20\end{array}\right.$ b. $\left\{\begin{array}{l}4 x+3 y=24 \\ 3 x+y=-2\end{array}\right.$ c. $\left\{\begin{array}{l}3 x+5 y=17 \\ 2 x+3 y=11\end{array}\right.$ d. $6 x+3 y=5$ $2 x+y=1$ $\left\{\begin{array}{l} (3 x+5 y)=17) 3 \\ (2 x+3 y=11)-5 \end{array}\right.$ e. $\left\{\begin{array}{c} x+2 y=-6 \\ 2 x+4 y=-12 \end{array}\right.$

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Problem 829

Question Watch Video Show Examples
A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 5 people and each large car can hold 7 people. A total of 10 cars were rented which can hold 66 people altogether. Write a system of equations that could be used to determine the number of small cars rented and the number of large cars rented. Define the variables that you use to write the system.
Answer Attempt 1 out of 3 $\square$

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Problem 830

Question ID: 108445
The sum of Sharon's and John's ages is 70 . Sharon is 4 times as old as John. If you let $s=$ Sharon's age and $j=$ John's age, then the problem can be represented by a system of equations. Which of the following shows a graph of this system and the solution to this problem?

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Problem 831

Which of the following systems has equations that are dependent?
$x+y=3$ $x-y=1$ $x=2$
$2 x=4$
$y=-2 x+3$ $y=-2 x-3$
$y=3 x+4$ $y=3 x-4$

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Problem 832

Evaluate $f(x)=5 x-8$ when $x=-3,0$ , and 4 $f(-3)=$ $\square$ $f(0)=$ $\square$ $f(4)=$ $\square$

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Problem 833

Example 1 : mare stha subsect of the fomula $8 u+3 s=4 u-7 v$

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Problem 834

Solve each inequality. Then compare the solutions. $2 x+6<10 \quad-3 x+18<12$ $\begin{array}{r} 2 x+6<10 \\ x \square \square \end{array}$

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Problem 835

Homework
No of springs $=6$ Fn for single spring $=500 \mathrm{~N}$ $\mu=0.3$
Dimensions of friction disk: $\mathrm{d}_{0}=160 \mathrm{~mm}, \mathrm{~d}_{i}=110 \mathrm{~mm}$ $\begin{array}{l} \text { (Ps) skily } \end{array}$ $\mathrm{d}_{\mathrm{o}}=160 \mathrm{~mm}$ , $\mathrm{di}=110 \mathrm{~mm}$ sisia YI dales

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Problem 836

Solve for $y$ . $6 y+9=18 y-3 y+81$
Simplify your answer as much as possible. $y=$

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Problem 837

Simplify. $4(v+2)-7 v$

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Problem 838

$9 x-13<14 \text { and }-2 x+10>16$
Express the solution using set-builder notation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is $\{x \mid x$ is any real number $\}$ . B. The solution is $\{x \mid$ $\square$ \}. (Type an inequality or a compound inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) C. The solution is $\varnothing$ .

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Problem 839

Sabah has $\$ 450$ to pay for college textbooks. She expects to pay about $\$ 75$ per book. Her friend told her that 4 of them can be checked out of the library for free.
Complete the equation below to find the total number of books that Sabah can get for her classes. Use $b$ to represent the total books. CLEAR CHECh $\square$ ( $\square$ - $\square$ $\square$

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Problem 840

lve the system by substitution. $\begin{array}{l} y=4 x \\ y=-6 x-30 \end{array}$
Answer Attempt 1 out of 2 ( , $\square$ $\square$ Submit Answer

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Problem 841

Soiving a 2 x 2 system or inear equations that is inconsistent or consistent... \begin{tabular}{|c|c|} \hline System A $\begin{aligned} -2 x+y-2 & =0 \\ 2 x-y & =-2 \end{aligned}$ & \begin{tabular}{l} The system has no solution. The system has a unique solution: \\ $(x, y)=$ $\square$ $\square$ The system has infinitely many solutions They must satisfy the following equation: $y=$ $\square$ \end{tabular} \\ \hline System B $\begin{array}{l} 3 x-y=6 \\ 3 x+y=6 \end{array}$ & \begin{tabular}{l} The system has no solution. The system has a unique solution: $(x, y)=$ $\square$ $\square$ The system has infinitely many solutions. \\ They must satisfy the following equation: \end{tabular} \\ \hline \end{tabular}

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Problem 842

4. Solve this equation. Explain or show your reasoning. $\frac{1}{3} x+2=\frac{1}{2}(2 x-12)$

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Problem 843

If $x+z \propto y$ and $y+z \propto x$ , prove $x+y \propto z$

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Problem 844

8. $7 x-41=-13$
9. $0.6(g+2)=3.6$ $x=$ $\qquad$ $\qquad$ $g=$
10. $3(m-5)=6(m+1)$
11. $10(w-4)=4(w+4)+4 w$ $m=$ $\qquad$ $w=$ $\qquad$

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Problem 845

Question 10 of 20 , Step 1 of 1 9/30 6
Find the equation of the line in slope-intercept form that passes through the following point with the given slope. Simplify your answer. $\text { Point }(0,10) ; \text { Slope }=\frac{1}{4}$

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Problem 846

Correct
Consider the following equation. $3 y+21=0$
Step 1 of 3 : Express the given equation in standard form by solving for $y$ . Simplify your answer.
Answer

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Problem 847

$3^{\text {rd }}$ point on the line: You Try 3: Given the point $(-3,-1)$ and slope $\qquad$ 5 Find a second point on the line that lies to the right of the given point.

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Problem 848

$\begin{array}{l}2 x-4 y=14 \\ 4 y-x=-3\end{array}$

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Problem 849

10.What is the equation in slope-intercept form of the line passing through the point $(-12,-1)$ and parallel to the line represented by $y=\frac{3}{4} x-1$ ? A. $y=\frac{3}{4} x-7$ C. $y=-\frac{3}{4} x-25$ B. $y=-\frac{4}{3} x-32$ D. $y=-3 x-7$

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Problem 850

lowing (8 marily $]$ is 90
3. The cost (C) of yearbooks for a school is given by the equation $\mathrm{C}=\mathbf{3 7 5}+\mathbf{2 5 n}$ , where $n$ is the number of yearbooks purchased. What is the initial value? A) $\$ 375$ B) $\$ 25$ C) $\$ 15$ D) so
4. The table below represents a linear relation. \begin{tabular}{|c|c|} \hline Time (t) & Distance (D) \\ \hline 0 & 34 \\ \hline 1 & 52 \\ \hline 2 & 70 \\ \hline 3 & 88 \\ \hline 4 & 106 \\ \hline \end{tabular}
Which equation represents this relation? A) $\mathrm{D}=34+18 \mathrm{t}$ B) $\mathrm{D}=18+34 \mathrm{t}$ C) $D=34 t$ D) $D=18 \mathrm{t}$

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Problem 851

16. Write the equation in slope-intercept form of the line that passes through the points $(-6,-10)$ and $(21,8)$ .
17. What is the equation in slope-intercept form of a line that passes through the point $(2,4)$ and is perpendicular to the x-axis? A. $y=2$ C. $y=4$ B. $x=2$ D. $x=4$
18. What is the equation in slope-intercept form of a line that passes through the point $(8,-14)$ and is parallel to $y=\frac{1}{2} x-4 ?$ A. $y=-2 x+2$ C. $y=-2 x-4$ B. $y=\frac{1}{2} x-18$ D. $y=\frac{1}{2} x+2$
19. Write an equation for the line that is perpendicular to the $y$ -axis and has the same $y$ -intercept as the line $y=3.6 x-4.9$ . A. $y=-4.9$ C. $y=3.6$ B. $x=3.6$ D. $x=-4.9$
20. What is the equation of the line that is parallel to $-4 x-2 y=12$ and passes through the point $(4,1) ?$ A. $y=-2 x-7$ B. $y=2 x-7$ C. $y=2 x-9$ D. $y=\frac{1}{2} x-1$

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Problem 852

10 Al inicio del año escolar, Vania compró 3 lápices y 1 libreta por $\$ 6600$ y Constanza compró 1 lápiz y 3 libretas por $\$ 5400$ . Ambas pagaron lo mismo por cada lápiz y lo mismo por cada libreta. ¿Cuál es el precio unitario de cada lápiz?
A $\$ 1200$ B $\$ 1300$ C $\$ 1500$ D $\$ 1800$

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Problem 853

Find the slope of the line that passes through $(10,6)$ and $(3,1)$ . Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\square$ Submit

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Problem 854

Algebra I Practice A.REI.C.6: Graphing Lincar Systems I
1. Use a graphing calculator to solve the system of lincar equations below by graphing. Sketch the graph on your paper. $\begin{array}{l} \text { 1. Use a graphos below by grapme } \\ \text { lincar equations on your paper. } \\ \text { graph on y } \\ y=\frac{1}{4} x-2 \\ y=-\frac{1}{2} x+1 \end{array}$ [1]
2. Solve the system graphically. $y=4 x+6$ $y=x+3$ [2] $\qquad$
3. Solve the system graphically. $\begin{array}{l} y=x+1 \\ y=-2 x-5 \end{array}$
NAME: Mudesta Kogole
4. Solve the system graphically. $\begin{array}{l} y=-4 x+10 \\ y=3 x-4 \end{array}$ [4] $\qquad$
5. Solve the system graphically. $\begin{array}{l} y=-x \\ y=-4 x+3 \end{array}$ [5]
6. Solve the system graphically. $\begin{array}{l} y=3 x-1 \\ y=2 x \end{array}$ [6]

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Problem 855

Find the slope of the line that passes through $(4,2)$ and $(7,10)$ . Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\square$
Submit

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Problem 856

$\begin{array}{c}y=1 / 2 x-19 \\ y=4 x+4\end{array}$

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Problem 857

4. Two golf courses offer student memberships. Information about the linear relationships between the total cost, C, in dollars, and the number of games players, $n$ , at the two golf courses is given below. a) Which course has a greater initial value?
The second golf course b) Which course will cost more for 35 games? Show your work. $\begin{array}{l} 153-51=102 \\ 9-3=6 \\ 102 \div 6 \\ 17 \\ N=17 c+51 \end{array}$
Second Golf Course \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Number of \\ games, $\boldsymbol{n}$ \end{tabular} & \begin{tabular}{c} Total cost, $\boldsymbol{C}$ \\ (\) \end{tabular} \\ \hline 3 & 51 \\ \hline 5 & 85 \\ \hline 9 & 153 \\ \hline 12 & 204 \\ \hline \end{tabular} $\begin{array}{cc} 153-51= & 153-51 \\ 102 \div 7 & 102 \div 6 \\ 14 & 17 \end{array}$ $N=14 c+51 \quad N=17 c+51$ $

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Problem 858

Find the slope of the line that passes through $(1,10)$ and $(8,5)$ . Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\square$

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Problem 859

Find the slope of the line that passes through $(1,1)$ and $(10,9)$ . Simplify your answer and write it as a proper fraction, improper fraction, or integer.

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Problem 860

Find the slope of the line that passes through $(6,5)$ and $(9,7)$ . Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\square$

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Problem 861

$2 x+-8 x+2=-10$

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Problem 862

1) $7(2+5 v)=3 v+14$ $(14+35 v)=3 v+$

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Problem 863

What is the slope of the line represented by the equation $y=-\frac{1}{2} x+\frac{1}{4}$ ? $-\frac{1}{2}$ $-\frac{1}{4}$ $\frac{1}{4}$ $\frac{1}{2}$

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Problem 864

A system of equations has two lines with a positive slope, but the slope of each line is different. Which of the following statements is true? The equations are independent. There is not enough information to determine whether the equations are dependent or independent. The lines are perpendicular to each other. The equations are dependent.

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Problem 865

Solve the following inequalities using the multiplication property of inequalities. If you multiply both sides by a negative number, be sure to reverse the direction of the inequality symbol. Graph the solution set. $3 y<9$ $\square$ $\square$
Clear All $\square$ Draw: $\square$

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Problem 866

The movement of the progress bor moy be uneven because questions can be worth more or less (including zero Solve for $x$ and $y$ : $\begin{array}{l} 5 y-7 x=-9 \\ x=4-2 y \end{array}$ $x=-3, y=-6$ $x=6, y=-1$ $x=1, y=2$ $x=2, y=1$

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Problem 867

A store sells cashews for $\$ 500$ per pound and peanuts for $\$ 2.00$ per pound. The manager decides to mix 20 pounds of peanuts with some cashews and sell the mixture for $\$ 300$ per pound. How many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as would selling the nuts separately?
There should be $\square$ pounds of cashews in the mixture (Type an integer or a decimal )

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Problem 868

11/1 Module 2 Algebra Quiz Assessment ID:2425005731
1. What is the equation in standard form of the line that passes through the point $(6,-1)$ and is parallel to the line represented by $8 x+3 y=15$ ? A. $8 x+3 y=-45$ B. $8 x-3 y=-51$ C. $8 x+3 y=45$ D. $8 x-3 y=51$

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Problem 869

A factory manufactures a box such that the width is 5 inches less than twice its height, $x$ , and the length is 2 inches more than 3 times its height. What is the dimension for the height of volume of 168 cubic inches? (A) 3.5 inches (B) 4 inches (c) 6 inches (D) 10 inches

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Problem 870

3. $4+x=25 ; \quad x=21$ $\square$
4. The number of blue beads (b) in a bracelet is four times as many as the number of yellow beads (y). Write an equation to represent the number of each type of bead in bracelet with a total of 50 beads. $\square$ $\square$ $\square$ y

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Problem 871

39 The table shows a linear relationship between $x$ and $y$ . \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-20 & 96 \\ \hline-12 & 60 \\ \hline-6 & 33 \\ \hline-2 & 15 \\ \hline \end{tabular}
What is the rate of change of $y$ with respect to $x$ ? A $-\frac{9}{2}$ B $\frac{2}{9}$ C $-\frac{2}{9}$ D $\frac{9}{2}$

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Problem 872

41 What is the slope of the line that passes through the points $(10,18)$ and $(-5,-12)$ ? (A) $\frac{1}{2}$ (B) 2 (c) -2 (D) $-\frac{1}{2}$

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Problem 873

$6(x-9)=-36$

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Problem 874

m = #3 -5-4-3-2-172345 #4 A pilot takes a taxi to the airport. The taxi driver charges a $2.50 initial charge plus$ 2.65 per mile. Write an equation to find y, the total cost of the trip, if x is the number of miles for the trip. m= b = Equation: y= #5 m = b = Equation: y #6 A pool already contains 189 gallons of water. The pool begins to leak at a rate of 8 gallons per minute. Write an equation that shows y, the total number of gallons in the pool x minutes after Bob began to fill it. 8 + 2 -10-8-6-4-2 2 4 5 8 10 4 8 Equation: y = b = m = Equation: y = b =

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Problem 875

A repair person charges a travel fee to visit a home and an hourly fee for the time spent fixing a leak. A repair that takes 2 h costs $\$ 100$ . A repair that takes 6 h costs $\$ 260$ .
Write an equation to represent the total cost of a repair, $y$ , as a function of the number of hours spent fixing a leak, $x$ .

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Problem 876

Ryan currentty has $\$ 50$ in savings. He had been saving $\$ 8$ each week. Yesterday he spent $\$ 142$ of the savings. For how many weeks had he been saving? (a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 50,8 , and 142 . Let $w$ represent the number of weeks. $\square w+\square=$ $\square$
$\square$ w - $\square$ $\square$ J $=$ (b) Solve the equation in part (a) to find the number of weeks. $w=\square$

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Problem 877

2 The graph of a linear function is shown on the grid.
Which function is best represented by this graph?
F $g(x)=6 x+4$
G $g(x)=4 x-\frac{2}{3}$ H $g(x)=-\frac{3}{2} x+6$ J $g(x)=-\frac{2}{3} x+4$

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Problem 878

Trazar el gráfico de la desigualdad. $y \leq-2 x+5$

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Problem 879

3. For which of the following values of $\lambda$ and $\mu$ the system of equ $\begin{array}{l} x+y+z=6 \\ x+2 y+3 z=10 \\ x+2 y+\lambda z=\mu \end{array}$ has no solution a. $\lambda=3$ and $\mu \neq 10$ b. $\lambda \neq 3$ c. $\lambda \neq 3$ and $\mu=10$ d. $\lambda=3$ and $\mu=10$

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Problem 880

You MUST show your work. If you don't, you will not receive the credit. Each problem is on a different slide. This gives you plenty of room to insert a picture of your notes or to use the typing or pencil tool to show your work.
Keboard shortcut for a fraction is the "forward slash". Example: 3/4
6. Factor this expression (Show your work below) (3 points) $\frac{2}{3} x+4$

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Problem 881

Match each equation on the left with its solution on the right. No answer on the right will be used twice. $\begin{array}{l} 2 x+3(x-2)=6(x+1)+x \\ 2 x+3(x-2)=6(x-1)-x \\ 2 x+3(x-2)=6(x-1)+x \\ 2 x+3(x-1)=6(x-1)-x \end{array}$ $x=0$
No solution $x=-6$
All real numbers
Clear Click and hold an item in one column, then drag it to the matching item in the other column. Be sure your target before releasing. The target will highlight or the cursor will change. Need help? Watch this video.

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Problem 882

The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 360 minutes, the monthly cost will be $\$ 183$ . If the customer uses 800 minutes, the monthly cost will be $\$ 381$ . A) Find an equation in the form $y=m x+b$ , where $x$ is the number of monthly minutes used and $y$ is the total monthly of the Splint plan.
Answer: $y=$ $\square$ B) Use your equation to find the total monthly cost if 910 minutes are used.
Answer: If 910 minutes are used, the total cost will be $\square$ dollars.

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Problem 883

Question ID: ent of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. Iatch each compound inequality on the left to the graph that represents its solution on the right. $\begin{array}{l} -14 \leq 6 x+4<16 \\ -4 x+3>-9 \text { and }-6 x \leq 12 \\ -4 x+3<-9 \text { or } 6 x \leq-12 \end{array}$

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Problem 884

Solve for $b$ . $-3 b+5>8$ or $b-4 \geq \theta$ $b>1$ or $b \leq 4$ $b>-1$ or $b \geq 4$ $b<1$ or $b \geq-4$ $b<-1$ or $b \geq 4$

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Problem 885

9. The graph of a linear function is shown.
What is the slope, $x$ -intercept, and $y$ -intercept that best represent this linear function?
Slope: x-Intercept: y-intercept:
Which concepts from the review feel most secure in my understanding?
What areas still seem unclear or require further study?

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Problem 886

$y=-2 x+4$ $(3,-2)$ ph this system of linear equations to determine a reasonable estimate of the $(-6,-8)$ ution. $\left(2,-\frac{1}{2}\right)$ $(-2,3)$ Clear All

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Problem 887

paid a total of $\$ 34.00$ for 32 cupcakes. Some of the cupcakes were strawberry and the rest were vanilla. strawberry cupcake costs $\$ 0.80$ . vanilla cupcake costs $\$ 1.50$ . y strawberry and vanilla cupcakes did the customer purchase? he correct answer from each drop-down menu to complete the statement. tomer purchased - Choose the correct answer $\ldots$ strawberry cupcakes and - Choose the correct answer -7 vanilla cupcakes.

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Problem 888

3. Solve the inequality below. $0.6 y-2.3 \geq 6.1$

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Problem 889

6. Determine whether the equations below have one solution, no solution, or infinitely many solutions. \begin{tabular}{|l|c|c|c|} \hline & One solution & Not Solution & \begin{tabular}{c} Infinitely Many \\ Solutions \end{tabular} \\ \hline $-10 y+18=-3(5 y-7)+5 y$ & $\square$ & $\square$ & $\square$ \\ \hline $3(a+2)-2 a=\frac{1}{7}(-7 a+42)$ & $\square$ & $\square$ & $\square$ \\ \hline $-4 y-3=\frac{1}{3}(12 y-9)-8 y$ & $\square$ & $\square$ & $\square$ \\ \hline \end{tabular}

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Problem 890

What is the $y$ -intercept of the line with the equation below? $y+17=12-2 x$

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Problem 891

5. Caleb eams points on his credit card that he can use towards future purchases. He earns four points per dollar spent on fights, two points per dollar spent at hotets, and one poink per dollar spent on all other purchases. Last year, he charged a total of 59,480 and earned 14,660 points. The amount of money spent on flights was $\$ 140$ more than twice the amount of money spent on hotek. Find the amount of money spent on each type of purchase.

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Problem 892

a. Rewrite the equation $4 x+y+3=0$ in slope-intercept form. b. Give the slope and $y$ -intercept. c. Use the slope and $y$ -intercept to graph the linear function. a. The slope-intercept form of the equation is $\square$ (Simplify your answer. Use integers or fractions for any numbers in the equation.) b. The slope of the equation of the line is $\square$ and the $y$ -intercept is $\square$ . (Type integers or fractions.)

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Problem 893

Translate the statement $9 n+3 \geq 5 n$ into a sentence.
Three $\square$ than $\square$ times a number is at least $\square$ times the number. DONE

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Problem 894

What is the rate of change of a line going through the points $(-2,-3)$ and $(2,9)$ . *Only type the value in the space provided $\square$

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Problem 895

porerdiby Knowledge Mathes
Finding a Job Math Quiz
QUESTION 3 of 10: Job A pays $\$ 13.00$ per hour. Job B pays $\$ 11.00$ per hour but has health benefits. Health insurance costs $\$ 3,400$ per y You expect to work 2,000 hours during the year. Ignoring taxes, which job will leave you with more money at the end of the year? a) $J o b A$ b) $J o b B$ c) Not enough information Submit

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Problem 896

A truck that can carry no more than 8000 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 200 lb and each piano weighs 475 lb . Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 20 refrigerators and 9 pianos overload the truck? Explain.
Let $x$ be the number of refrigerators in the truck and $y$ be the number of pianos in the truck. Write an inequality to show how many refrigerators and how many pianos the truck could carry. y $\square$ $\square$ (Use integers or simplified fractions for any numbers in the inequality. Do not factor.)

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Problem 897

Adult tickets to the fall play cost $\$ 6$ and student tickets cost $\$ 3$ . The drama class sold 25 more student tickets than adult tickets to the fall play. If the class collected $\$ 660$ from ticket sales, how many student tickets were sold? The drama class sold $\qquad$ student tickets.
The solution is

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Problem 898

Use elimination to solve each system below.
System 1 System 2 $\begin{array}{ll} 3 x-4 y=6 & 3 x-4 y=-3 \\ x+4 y=18 & 4 x-3 y=10 \end{array}$
Enter the values of $x$ and $y$ in the solution for each system in the following tabl \begin{tabular}{|c|c|} \hline \multirow[b]{2}{*}{System 1} & value of $y$ \\ \hline & \\ \hline System 2 & \\ \hline \end{tabular}

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Problem 899

$2^{\text {the }}$ Exercice de physique (7pts) Un moteur fait toumer un disque homogène de diametre $\mathrm{d}=20 \mathrm{~cm}$ autour d'un axe fixe ( $\Delta$ ) passant par son centre. On donne la representation de la variation de l'abscisse angulaire en fonction du temps. 1) Quelle est la nature du mouvement de rotation du disque ? justifier votre réponse. (1pt) 2) 2-1- Déterminer graphiquement la vitesse angulairew et la valeur de l'abscisse angulaire $\theta_{\text {。 }}$ à $t=0$ . (1pt).
2-2-Ecrire l'équation horaire $\theta(t)$ du mouvement du disque . ( $0,5 \mathrm{pt}$ ). 2.-3-Déterminer la valeur de la fróquence f du mouvement de rotation du disque $\mathrm{en}\left(\mathrm{Hz}\right.$ ) puis en (tours. $\mathrm{mn}^{-1}$ ). (1pt)
2-4-Déterminer la valeur de la période T de rotation du disque. . ( $0,5 \mathrm{pt}$ ) 3) Donner l'équation horaire de l'abscisse curviligne s(t) d'un point du périmètre du disque. (1pt) 4) 4-1-Calculer la valeur de $\theta$ al l'instant : $t=0,25 \mathrm{~s}$ . ( $0,5 \mathrm{pt}$ )
4-2- Quel est le nombre de tours $n$ effectués par le disque à l'instant : $t=0,25 \mathrm{~s}$ ? (1pt)
4-3-Sachant que le point M du disque a pour vitesse $\mathrm{v}=1,27 \mathrm{~m} / \mathrm{s}$ , déterminer la distance qui le sépare de l'axe đe rotation. (0.5pt)

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Problem 900

ovement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. A store is selling two mixtures of coffee beans in one-pound bags. The first mixture has 12 ounces of Sumatra combined with ounces of Celebes Kalossi, and costs $\$ 15$ . The second mixture has 4 ounces of Sumatra and 12 ounces of Celebes Kalossi, and costs $\$ 21$ . How much does one ounce of Sumatra and one ounce of Celebes Kalossi cost? $\$ 1.65$ for Sumatra and $\$ 1.20$ for Celebes Kalossi There is no solution. $\$ 0.75$ for Sumatra and $\$ 1.50$ for Celebes Kalossi $\$ 1.50$ for Sumatra and $\$ 0.75$ for Celebes Kalossi

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Linearity

Problem 801

3x+4=−2x−13 x+4=-2 x-13x+4=−2x−1

Problem 802

Problem 803

(iii) the equation of the line passing through AAA and C.8. The lines 2x−5=ky2 x-5=k y2x−5=ky and (k+1)x=6y−3(k+1) x=6 y-3(k+1)x=6y−3 have the same gradient. Find the possible values of kkk.

Problem 804

Problem 805

Problem 806

Problem 807

Problem 808

Problem 809

Find a formula for the linear function depicted in the following graph. Enable Zoom/Pan

Problem 810

Problem 811

A line that passes through the point (−2,2)(-2,2)(−2,2) has a slope of 38\frac{3}{8}83​.If you use the slope to make another point, the coordinates of the new point are * Make sure point is located in quadrant I. ( type your answer... type your a

Problem 812

Solve the syatem of equations graphed on the coordinate axes below. y=−12x+1y=32x+5\begin{array}{l} y=-\frac{1}{2} x+1 \\ y=\frac{3}{2} x+5 \end{array}y=−21​x+1y=23​x+5​Answer Attemplicett of ioSolution: □\square□ Shtmil Amase

Problem 813

Problem 814

Solve the following system of equations graphically on the set of axes below. y=12x−5y=−x+4\begin{array}{l} y=\frac{1}{2} x-5 \\ y=-x+4 \end{array}y=21​x−5y=−x+4​Plot two lines by clicking the graph. Click a line to delete it. Answer Bolution: □\square□

Problem 815

Solve for kkk −85k+76+48k≤1-85 k+76+48 k \leq 1−85k+76+48k≤1 or 59k−78≤−3259 k-78 \leq-3259k−78≤−32 Write your answer as a compound inequality with integers, proper fractions, and improper fractions in simplest form. □\square□ or □\square□

Problem 816

13. CCSS Persevere with Problems The equation of a line is y=−12x+6y=-\frac{1}{2} x+6y=−21​x+6. Write an equation in point-slope form for the same line. Explain the steps that you used. \qquad \qquad \qquad

Problem 817

Problem 818

Problem 819

Q10.Kiaria is 7 years older than Jay. Martha is twice as old as Kiaria. The sum of their three ages is 77 Find the ratio of Jay's age to Kiaria's age to Martha's age.

Problem 820

- Whole NumbersEvaluating an algebralc expression: Whole numbers with two operationsEvaluate the expression when x=25x=25x=25 and y=40y=40y=40. y−x5y-\frac{x}{5}y−5x​

Problem 821

The linear function graphed below represents the height of a stalk of corn since a farmer began using a new fertifizer. What is the initial value?Height of a Stalk of CornNumber of Days Using New Fertilizer n fapt Mark this and return Save and Exit Nest Submis:

Problem 822

Problem 823

Problem 824

Which graph or equation represents a nonproportional relationship?C y=0.375xy=0.375 xy=0.375xD y=59xy=\frac{5}{9} xy=95​x Mark this and return Save and Exit Next Sulbmt

Problem 825

−2xy−5x=3x+1-2 x y-5 x=3 x+1−2xy−5x=3x+1

Problem 826

Problem 827

Problem 828

Problem 829

Problem 830

Question ID: 108445The sum of Sharon's and John's ages is 70 . Sharon is 4 times as old as John. If you let s=s=s= Sharon's age and j=j=j= John's age, then the problem can be represented by a system of equations. Which of the following shows a graph of this system and the solution to this problem?

Problem 831

Which of the following systems has equations that are dependent?x+y=3x+y=3x+y=3 x−y=1x-y=1x−y=1 x=2x=2x=22x=42 x=42x=4y=−2x+3y=-2 x+3y=−2x+3 y=−2x−3y=-2 x-3y=−2x−3y=3x+4y=3 x+4y=3x+4 y=3x−4y=3 x-4y=3x−4

Problem 832

Evaluate f(x)=5x−8f(x)=5 x-8f(x)=5x−8 when x=−3,0x=-3,0x=−3,0, and 4 f(−3)=f(-3)=f(−3)= □\square□ f(0)=f(0)=f(0)= □\square□ f(4)=f(4)=f(4)= □\square□

Problem 833

Example 1 : mare stha subsect of the fomula 8u+3s=4u−7v8 u+3 s=4 u-7 v8u+3s=4u−7v

Problem 834

Solve each inequality. Then compare the solutions. 2x+6<10−3x+18<122 x+6<10 \quad-3 x+18<122x+6<10−3x+18<12 2x+6<10x□□\begin{array}{r} 2 x+6<10 \\ x \square \square \end{array}2x+6<10x□□​

Problem 835

Problem 836

Solve for yyy. 6y+9=18y−3y+816 y+9=18 y-3 y+816y+9=18y−3y+81Simplify your answer as much as possible. y=y=y=

Problem 837

Simplify. 4(v+2)−7v4(v+2)-7 v4(v+2)−7v

Problem 838

Problem 839

Problem 840

lve the system by substitution. y=4xy=−6x−30\begin{array}{l} y=4 x \\ y=-6 x-30 \end{array}y=4xy=−6x−30​Answer Attempt 1 out of 2 ( , □\square□ □\square□ Submit Answer

Problem 841

Problem 842

4. Solve this equation. Explain or show your reasoning. 13x+2=12(2x−12)\frac{1}{3} x+2=\frac{1}{2}(2 x-12)31​x+2=21​(2x−12)

Problem 843

If x+z∝yx+z \propto yx+z∝y and y+z∝xy+z \propto xy+z∝x, prove x+y∝zx+y \propto zx+y∝z

Problem 844

8. 7x−41=−137 x-41=-137x−41=−139. 0.6(g+2)=3.60.6(g+2)=3.60.6(g+2)=3.6 x=x=x= \qquad \qquad g=g=g=10. 3(m−5)=6(m+1)3(m-5)=6(m+1)3(m−5)=6(m+1)11. 10(w−4)=4(w+4)+4w10(w-4)=4(w+4)+4 w10(w−4)=4(w+4)+4w m=m=m= \qquad w=w=w= \qquad

Problem 845

Question 10 of 20 , Step 1 of 1 9/30 6Find the equation of the line in slope-intercept form that passes through the following point with the given slope. Simplify your answer. Point (0,10); Slope =14\text { Point }(0,10) ; \text { Slope }=\frac{1}{4} Point (0,10); Slope =41​

Problem 846

CorrectConsider the following equation. 3y+21=03 y+21=03y+21=0Step 1 of 3 : Express the given equation in standard form by solving for yyy. Simplify your answer.Answer

Problem 847

3rd 3^{\text {rd }}3rd point on the line: You Try 3: Given the point (−3,−1)(-3,-1)(−3,−1) and slope \qquad 5 Find a second point on the line that lies to the right of the given point.

Problem 848

2x−4y=144y−x=−3\begin{array}{l}2 x-4 y=14 \\ 4 y-x=-3\end{array}2x−4y=144y−x=−3​

Problem 849

Problem 850

Problem 851

$3 x+4=-2 x-1$

(iii) the equation of the line passing through $A$ and C.
8. The lines $2 x-5=k y$ and $(k+1) x=6 y-3$ have the same gradient. Find the possible values of $k$ .

A line that passes through the point $(-2,2)$ has a slope of $\frac{3}{8}$ .
If you use the slope to make another point, the coordinates of the new point are * Make sure point is located in quadrant I. ( type your answer... type your a

Solve the syatem of equations graphed on the coordinate axes below. $\begin{array}{l} y=-\frac{1}{2} x+1 \\ y=\frac{3}{2} x+5 \end{array}$
Answer Attemplicett of io
Solution: $\square$ Shtmil Amase

Solve the following system of equations graphically on the set of axes below. $\begin{array}{l} y=\frac{1}{2} x-5 \\ y=-x+4 \end{array}$
Plot two lines by clicking the graph. Click a line to delete it. Answer Bolution: $\square$

Solve for $k$ $-85 k+76+48 k \leq 1$ or $59 k-78 \leq-32$ Write your answer as a compound inequality with integers, proper fractions, and improper fractions in simplest form. $\square$ or $\square$

13. CCSS Persevere with Problems The equation of a line is $y=-\frac{1}{2} x+6$ . Write an equation in point-slope form for the same line. Explain the steps that you used. $\qquad$ $\qquad$ $\qquad$

Q10.
Kiaria is 7 years older than Jay. Martha is twice as old as Kiaria. The sum of their three ages is 77 Find the ratio of Jay's age to Kiaria's age to Martha's age.

- Whole Numbers
Evaluating an algebralc expression: Whole numbers with two operations
Evaluate the expression when $x=25$ and $y=40$ . $y-\frac{x}{5}$

The linear function graphed below represents the height of a stalk of corn since a farmer began using a new fertifizer. What is the initial value?
Height of a Stalk of Corn
Number of Days Using New Fertilizer n fapt Mark this and return Save and Exit Nest Submis:

Which graph or equation represents a nonproportional relationship?
C $y=0.375 x$
D $y=\frac{5}{9} x$ Mark this and return Save and Exit Next Sulbmt

$-2 x y-5 x=3 x+1$

Question ID: 108445
The sum of Sharon's and John's ages is 70 . Sharon is 4 times as old as John. If you let $s=$ Sharon's age and $j=$ John's age, then the problem can be represented by a system of equations. Which of the following shows a graph of this system and the solution to this problem?

Which of the following systems has equations that are dependent?
$x+y=3$ $x-y=1$ $x=2$
$2 x=4$
$y=-2 x+3$ $y=-2 x-3$
$y=3 x+4$ $y=3 x-4$

Evaluate $f(x)=5 x-8$ when $x=-3,0$ , and 4 $f(-3)=$ $\square$ $f(0)=$ $\square$ $f(4)=$ $\square$

Example 1 : mare stha subsect of the fomula $8 u+3 s=4 u-7 v$

Solve each inequality. Then compare the solutions. $2 x+6<10 \quad-3 x+18<12$ $\begin{array}{r} 2 x+6<10 \\ x \square \square \end{array}$

Solve for $y$ . $6 y+9=18 y-3 y+81$
Simplify your answer as much as possible. $y=$

Simplify. $4(v+2)-7 v$

lve the system by substitution. $\begin{array}{l} y=4 x \\ y=-6 x-30 \end{array}$
Answer Attempt 1 out of 2 ( , $\square$ $\square$ Submit Answer

4. Solve this equation. Explain or show your reasoning. $\frac{1}{3} x+2=\frac{1}{2}(2 x-12)$

If $x+z \propto y$ and $y+z \propto x$ , prove $x+y \propto z$

8. $7 x-41=-13$
9. $0.6(g+2)=3.6$ $x=$ $\qquad$ $\qquad$ $g=$
10. $3(m-5)=6(m+1)$
11. $10(w-4)=4(w+4)+4 w$ $m=$ $\qquad$ $w=$ $\qquad$

Question 10 of 20 , Step 1 of 1 9/30 6
Find the equation of the line in slope-intercept form that passes through the following point with the given slope. Simplify your answer. $\text { Point }(0,10) ; \text { Slope }=\frac{1}{4}$

Correct
Consider the following equation. $3 y+21=0$
Step 1 of 3 : Express the given equation in standard form by solving for $y$ . Simplify your answer.
Answer

$3^{\text {rd }}$ point on the line: You Try 3: Given the point $(-3,-1)$ and slope $\qquad$ 5 Find a second point on the line that lies to the right of the given point.

$\begin{array}{l}2 x-4 y=14 \\ 4 y-x=-3\end{array}$

Find the slope of the line that passes through $(10,6)$ and $(3,1)$ . Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\square$ Submit

Find the slope of the line that passes through $(4,2)$ and $(7,10)$ . Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\square$
Submit

$\begin{array}{c}y=1 / 2 x-19 \\ y=4 x+4\end{array}$

Find the slope of the line that passes through $(1,10)$ and $(8,5)$ . Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\square$

Find the slope of the line that passes through $(1,1)$ and $(10,9)$ . Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Find the slope of the line that passes through $(6,5)$ and $(9,7)$ . Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\square$

$2 x+-8 x+2=-10$

1) $7(2+5 v)=3 v+14$ $(14+35 v)=3 v+$

What is the slope of the line represented by the equation $y=-\frac{1}{2} x+\frac{1}{4}$ ? $-\frac{1}{2}$ $-\frac{1}{4}$ $\frac{1}{4}$ $\frac{1}{2}$

A factory manufactures a box such that the width is 5 inches less than twice its height, $x$ , and the length is 2 inches more than 3 times its height. What is the dimension for the height of volume of 168 cubic inches? (A) 3.5 inches (B) 4 inches (c) 6 inches (D) 10 inches

41 What is the slope of the line that passes through the points $(10,18)$ and $(-5,-12)$ ? (A) $\frac{1}{2}$ (B) 2 (c) -2 (D) $-\frac{1}{2}$

$6(x-9)=-36$