Linearity

Problem 401

2) Taryn starts a new job and recelves a $\$ 1,000$ bonus, She also recelves a salary of $\$ 800$ every two weeks. Represent this relationship using a graph. Be sure to label the axes. What is the slope, and what does it represent?

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Problem 402

Solve the following system of equations. $\begin{array}{l} 5 x+4 y=-2 \\ 3 x+4 y=10 \end{array}$ $\begin{array}{l} x= \\ y= \end{array}$ $\square$ $\square$

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Problem 403

Question $\mathrm{He} / \mathrm{Pv}$
The graph relates the actual size of a car in feet to a model of the car in inches. Write an equation that describes the relationship. Model Cars
Type an equation in $y=m x$ form. $\square$ (Type an equation. Use integers or fractions for any numbers in the equation.)

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Problem 404

Subtract. $(-6 a+9)-(-3 a-1)$

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Problem 405

Do You Know How?
4. A tank containing 35 gallons of water is leaking at a rate of $\frac{1}{4}$ gallon per minute. Write an expression to determine the number of gallons left in the tank after $m$ minutes.

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Problem 406

\begin{tabular}{|l|l|} \hline 4. Matthew gets a gym membership that costs $\$ 30$ & a. How much will he pay after 4 months? \\ per month. The initial sign up cost is $\$ 10$ . Write a \\ linear equation to represent how much Matthew \\ will pay. \end{tabular}

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Problem 407

Question 8 of 10 For $f(x)=4 x+1$ and $g(x)=x^{2}-5$ , find $(f-g)(x)$ . A. $-x^{2}+4 x-4$ B. $4 x^{2}-19$ C. $-x^{2}+4 x+6$ D. $x^{2}-4 x-6$

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Problem 408

$\begin{array}{l}x-5 y=15 \\ -x+3 y=-11\end{array}$

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Problem 409

$\text{During summer vacation, } 36\% \text{ of } c \text{ children went to Europe, 24 children stayed within the US, and the rest of the children went to South America. How many children went to South America?}$

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Problem 410

Gabriella and Ming are selling cookie dough for a school fundraiser. Customers can buy packages of white chocoloate chip cookie dough and packages of gingerbread cookie dough. Gabriella sold 11 packages of white chocoloate chip cookie dough and 2 packages of gingerbread cookie dough for a total of $\$ 225$ . Ming sold 8 packages of white chocoloate chip cookie dough and 10 packages of gingerbread cookie dough for a total of $\$ 326$ . What is the cost each of one package of white chocoloate chip cookie dough and one package of gingerbread cookie dough?

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Problem 411

7) $\begin{array}{l}-4 x+y=6 \\ -5 x-y=21 \\ x=-3, y=-6\end{array}$

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Problem 412

$x-7 y=-4$

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Problem 413

Use Cramer's rule to solve the system of equations. $\begin{array}{l} 3 x-2 y=4 \\ \frac{1}{2} x-\frac{2}{3} y=1 \end{array}$ a. $(4,-8)$ c. $\left(\frac{2}{3}, \frac{5}{6}\right)$ b. $\left(\frac{2}{3},-1\right)$ d. $(3,10)$

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Problem 414

The graph shows the number of fans, $y$ , a musician has based on number of days the musician spent social networking, $x$ .
Social Networking
Which equation best represents the relationship between $x$ and $y$ ?
A $y=10+x$
B $x=y+10$
C $y=10 x$
D $x=10 y$

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Problem 415

Use Cramer's rule to solve the system of equations. $\begin{array}{c} 5 x+2 y-4 z=-10 \\ -4 x+8 y-3 z=47 \\ 4 x+5 y-3 z=13 \end{array}$ a. $(3,6,-2)$ c. $(-2,6,3)$ b. $(-2,3,6)$ d. $(6,-2,3)$

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Problem 416

2. If you buy 4 slices of pizza and 3 drinks at the foodcourt, you get $\$ 2.50$ in chang from a $\$ 20$ bill. If you buy 3 slices of pizza and 6 drinks, you'd get $\$ 1.25$ back from a $20 \$$ bill. Determine how much change you would get from a $20 \$$ bill if you bought 5 slices of pizza and 2 drinks. Drink **HINT: Determine the price of a hamburger and a slice of pizza first. Let "d" represent the cost of the drink Let "p" represent the cost of the slice of pizza

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Problem 417

$\begin{array}{l} \text { 4) }-3 x-3 y=3 \\ y=-5 x-17 \\ x=1, y=2 \end{array}$

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Problem 418

1. $y=2 x-1$ slope $=$ $\qquad$ $y$ -intercept $=$ $\qquad$

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Problem 419

Put the following equation of a line into slope-intercept form, simplifying all fractions. $20 x-8 y=40$

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Problem 420

Function A and Function B are linear functions. vide
Function A
Function B $y=\frac{3}{5} x+3$
Which statement is true?
The $y$ -intercept of Function $A$ is greater than the $y$ -intercept of Function $B$ .
The $y$ intercept of Function $A$ is less than the $y$ -intercept of Function B .

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Problem 421

Function $A$ and Function $B$ are linear functions. Function A Function B $y=\frac{1}{2} x-2$
Which statement is true?
The slope of Function A is greater than the slope of Function B .
The slope of Function $A$ is less than the slope of Function $B$ .

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Problem 422

11) $\begin{array}{l}x+3 y=1 \\ -3 x-3 y=-15 \\ x=0, y=\frac{1}{3}\end{array}$

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Problem 423

Question list Determine whether the given number is a solution of the equation. $\frac{x}{8}=3 ; 24$ ( Question 1 ( Question 2 Yes No Question 3
Question 4

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Problem 424

Complete the table and then graph the function. \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ $f(x)=x-7$ } \\ \hline $x$ & $f(x)$ \\ \hline-2 & -9 \\ \hline 1 & -6 \\ \hline 2 & -5 \\ \hline 10 & 3 \\ \hline \end{tabular}
Click to select points on the graph.

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Problem 425

$12 ;-8 x=-52$

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Problem 426

$-4(m+3)=24$

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Problem 427

$\begin{array}{l}10 x+y>5 \\ y>\frac{3}{2} x-9\end{array}$

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Problem 428

Write an equivalent expression by distributing the " -" sign outside the parentheses: $-10 m-(-7.6 n+1)$
Answer Attempt 1 out of 2 $\square$ Submit Answer

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Problem 429

$12 t-8 x=-52$

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Problem 430

Write an equation in slope-intercept form of the line that passes through $(1,-9)$ and $(-3,-9)$ . $y=$ $\square$

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Problem 431

72. $10-3(2 x-1)=1$

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Problem 432

Solve for $z$ . $9=-21-\frac{10}{11} z$
Answer Attempt 1 out of 2 $z=$ $\square$ Submit Answer

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Problem 433

The equation $-8(x+1)=-40$ is solved in several steps below. For each step, choose the reason that best justifies it. \begin{tabular}{|c|l|} \hline Step & Reason \\ \hline $-8(x+1)=-40$ & Given equation \\ \hline $\frac{-8(x+1)}{-8}=\frac{-40}{-8}$ & "Choose one" \\ \hline $x+1=5$ & "Choose one" \\ \hline $x+1-1=5-1$ & "Choose one" \\ \hline $x=4$ & "Choose one" \\ \hline \end{tabular}

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Problem 434

Solve for $z$ . $34=-\frac{2}{3} z-10$
Answer Attempt 1 out of 2 $z=$ $\square$ Submit Answer

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Problem 435

Is $f=70$ a solution to the inequality below? $\frac{f}{2}-10 \geq 38$ yes no
Submit

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Problem 436

Linda is pumping water into a tank at a rate of 15 liters per minute. Since she started pumping water, 14 liters has splashed out of the tank. Her go $15 x-14<61$ , where $x$ is the number of minutes she pumps water into the tank.
Complete the parts below. (a) Solve the given inequality and graph the solution on the number line below. (b) Choose and complete the statement that best describes the solution.
$\square$ To meet the goal, the tank will have more than liters of water in it. This will take less than $\square$ minutes. To meet the goal, the tank will have less than $\square$ liters of water in it.
This will take less than $\square$ minutes. To meet the goal, the tank will have less than $\square$ liters of water in it.
This will take more than $\square$ minutes.

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Problem 437

Solve the following system by substitution. $\begin{array}{l} 2 x-y=-7 \\ 3 y-x=6 \end{array}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer.) A. There is one solution. The solution set is $\{$ . (Type an ordered pair.) B. There are infinitely many solutions. The solution set is $\{(\square, y)\}$ , where $y$ is any real number. C. The solution set is $\varnothing$ .

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Problem 438

ain an equation in one variable to solve the system by substitution.
2. $y=-8 x+2$ $2 x+y=-10$

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Problem 439

$\begin{array}{l}x>1 \\ y<2 x-3 \\ y>x\end{array}$

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Problem 440

What value of $x$ makes the equation below true? $4 x-3=1$
Answer 1 3 11 20

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Problem 441

Solve for x . $5(x-5)-2 x-4=-20$
Answer Attempt i out of 2 $x=$

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Problem 442

Solve for $x$ : $-7 x-(x+6)=9+2 x$
Answer Attempt 1 out of 2 $x=$ $\square$ Submit Answer

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Problem 443

Solve for $x$ : $-14 x+2=-10 x+2$
Answer Attempt 1 out of 2 $x=$ $\square$ Submit Answer

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Problem 444

Solve for r . $10+r=2$
Answer Attempt 1 out of 2

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Problem 445

$\boldsymbol{n} = -\frac{2}{2}, (-3, -1)$
\text{GENERAL form}

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Problem 446

\begin{tabular}{|c|c|c|c|} \hline \begin{tabular}{c} Linear \\ Equation \end{tabular} & $y-5=-\frac{1}{3}(x-6)$ & Standard & \multicolumn{1}{c}{ $-\frac{2}{3} x+4(5)$ } \\ \hline $(6,5), m=-\frac{2}{3}$ & $2 x+3 y=27$ & $y-5=-\frac{2}{3}(x-6)$ & $y=-\frac{2}{3} x+9$ \\ \hline $(-2,-1), m=\frac{1}{2}$ & $x-2 y=0$ & $y+1=\frac{1}{2}(x+2)$ & $y+1=\frac{1}{2} x$ \\ \hline $(-1,3), m=-4$ & $4 x+y=-1$ & $y-1=-4(x+1)$ & $y=-4 x=1$ \\ \hline \end{tabular}

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Problem 447

Solve the system by elimination. $\left\{\begin{array}{l} -5 x-4 y=-17 \\ -3 x+5 y=12 \end{array}\right.$ One solution: $\square$ No solution Infinite number of solutions Question Help: Video

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Problem 448

370 Chapter 3
Function Sense and Linear Functions In Exercises 2-8, determine the equation of the line that has the given slope and passes through the given point. Then sketch a graph of the line.
2. $m=3$ , through the point $(2,6)$
3. $m=-1$ , through the point $(5,0)$ $\square$
4. $m=7$ , through the point $(-3,-5)$ $\square$
1 $\square$
5. $m=0.5$ , through the point $(8,0.5)$

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Problem 449

370 Chapter 3 Function Sense and Linear Functions
In Exercises 2-8, determine the equation of the line that has the given slope and passes through the given point. Then sketch a graph of the line.
2. $m=3$ , through the point $(2,6)$
3. $m=-1$ , through the point $(5,0)$ $\square$ $\square$

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Problem 450

- problem5 $\begin{array}{l} \operatorname{Max} Z=28 x_{1}+11 x_{2} \quad \text { st }\left\{\begin{array}{c} 1.4 x_{1}+0.6 x_{2} \leq 2.5 \\ x_{1} \leq 1 \\ x_{2} \geq 2 \\ x_{1}, x_{2} \geq 0 \end{array}\right. \\ \Rightarrow \mathrm{Z}=48 ; x_{1}=\frac{13}{14}\left\{\begin{array}{l} x_{1} \leq 0 \text { (problem6) } \\ x_{1} \geq 1 \text { (problem7) } ; x_{2}=2 \end{array}\right. \end{array}$

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Problem 451

9) $12+3 x=3 x+8-2$

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Problem 452

Charlatte theckleriburg Seiherits Name: Period: Date:
Math 1 with Foundational Supports: Unit 3, Lesson 6 Cool-down: Same Slope, Different Point Consider the line represented by $y+4=\frac{2}{5}(x-9)$ Write an equation representing a parallel line that passes through the point $(3,6)$ .

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Problem 453

$6=-\frac{4}{3} u$

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Problem 454

$-11=-47-12 b$

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Problem 455

5. A company has a budget of $\$ 500$ for office supplies. If notebooks cost $\$ 2$ each and pens cost $\$ 1$ each, write an inequality for the number of notebooks and pens they can buy. Can they buy 150 notebooks and 50 pens?

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Problem 456

6 Which three points are in the solution set of $-x+y \leq 1$ $F(-4,-3)$ G $(-1,1)$ $H(2,3)$ J $(4,2)$ K $(-3,-1)$

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Problem 457

7 The graph of $-3 x+5 y=-15$ is shown. Which points are in the solution set of (Select two correct answers.) $-3 x+5 y \geq-15$
A $(-1,-7)$ B $(1,-3)$ C $(6,-1)$ D $(0,-3)$ E $(0,0)$

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Problem 458

PRACTICE ANOTHER $\$ 12.50$ per hour. (a) Write a linear equation giving the total cost $C$ of operating this equipment for $t$ hours. (Include the purchase cost of the equipment.) $C(t)=$ $\square$ (b) Assuming that customers are charged $\$ 44$ per hour of machine use, write an equation for the revenue $R$ obtained from $t$ hours of use. $R(t)=$ $\square$ (c) Use the formula for profit $P=R-C$ to write an equation for the profit obtained from $t$ hours of use. $P(t)=\square$ (d) Use the result of part (c) to find the break-even point-that is, the number of hours this equipment must be used to yield a profit of 0 dollars. $t=$ $\qquad$ hr
Need Help? Read It Submit Answer Home My Assignments Request Extension Copyright @ 1998 - 2024 Cengage Learning, Inc. All Rights Reserved TERMS OF USE PRIVACY

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Problem 459

Question Watch Video Show Examples
Find the equation of the linear function represented by the table below in slope-intercept form. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-4 & 19 \\ \hline 1 & -6 \\ \hline 6 & -31 \\ \hline 11 & -56 \\ \hline \end{tabular}

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Problem 460

.3
إذا كان u=2v فإن المتجهين $u, v$ في الاتجاه نفسه
صح
خطأ

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Problem 461

Algebra 1 Lesson 4.1 Day 2 Assignment Slope Intercept back to Standard Form Name/Period Remember that for a line to be in Standard Form, $A x+B y=C$ , the following must be true: 1. 2. 3.
Take the slope intercept form of each equation, and write the equation in Standard Form.
1. $\mathrm{y}=2 \mathrm{x}+4$
2. $y=3 x-4$
3. $y=\frac{1}{2} x+4$
4. $y=\frac{2}{3} x-1$
5. $y=-\frac{3}{4} x+2$
6. $y=-\frac{1}{4} x-5$

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Problem 462

Identify the slope and $y$ -intercept of the following linear equation: $\begin{array}{l} y=x-3 \\ m=\square \\ b= \end{array}$

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Problem 463

Write the equation of a line in slope-intercept form with the following characteristics: A.) slope $=1 / 4 ; y$ -intercept $=2$ B.) slope $=-3 / 2$ ; passes through $(-4,7)$ C.) passes through $(-2,1)$ and $(2,-5)$

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Problem 464

Write the equation of the line in point-slope form with the following characteristics: A) slope $=2 ; y$ -intercept $=3$ B) slope $=-2$ ; passes through $(-3,5)$

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Problem 465

Jasmine had $\$ 800.00$ to invest. She invested part at $9 \%$ per annum and the rest at $12 \%$ per annum. After one year, the total interest camed was \$79.50. How much did she invest at each rate?

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Problem 466

Solve: $-8-3 x<4$ The answer has form: $x>A$ $x<A$
Where $\mathrm{A}=$ $\square$ Question Help: Video Submit Question Jump to Answer

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Problem 467

Solve: $2-3 x>4$ The answer has form: $x>A$ $x<A$

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Problem 468

Solve: $4 x+3<6 x+4$ The answer has form: $x<A$ $x>A$
Where $A=$ $\square$ Question Help: Video Submit Question Jump to Answer

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Problem 469

$3 x+4 y=8$
DEETHO THE $X$ -INTEREEPT AND THE $y$ -INTERCEPT (GEE P. 73 MATH NOTES)

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Problem 470

Solve: $7-5 x>3$ The answer has form: $x>A$ $x<A$

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Problem 471

Score: 30/190 Answered: 3/19 Question 8
The following inequality has a solution in the form $x>A$ . Solve the inequality and place the correct value of $A$ into the box. $14 x-13>-5+3 x$
Answer: $x>$ $\square$ Enter your answer as an integer or a reduced fraction in the form A/B.

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Problem 472

Question Solve the following equation for $a$ . Be sure to take into account whether a letter is capitalized or not. $a f=H$
Answer Aitempt 1 out of 2 $a=$ $\square$ Submit Answer

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Problem 473

Combine like terms to simplify the expression. $3 x+9-4 x$

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Problem 474

Use the substitution method to solve the system $\left\{\begin{array}{l} -x+y=2 \\ 4 x-3 y=-9 \end{array}\right.$ One or more solutions: $\square$ No solution Infinite number of solutions

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Problem 475

$4 x-11=11+2 x$

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Problem 476

$x=121$

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Problem 477

$\begin{array}{l}\left\{\begin{array}{l}3 x+2 y=14 \\ -4 x-2 y=-16\end{array}\right. \\ x= \\ y=\end{array}$

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Problem 478

$\begin{aligned} 12 x-12 y+16 z & =44 \\ 6 x+2 y-6 z & =-10 \\ 75 x-5 y-20 z & =0 \end{aligned}$
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. There is one solution. The solution is $x=$ $\square$ $\square$ , $y=$ (Simplify your answer.) and $z=$ $\square$ . B. The system is dependent. There are infinitely many solutions. C. The system is inconsistent. There is no solution.

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Problem 479

Solve the system of equations by elimination/addition. Give your solution as an ordered pair. $\begin{array}{l} -10 x+y=-48 \\ -5 x-4 y=-33 \end{array}$

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Problem 480

Solve using any method: $\begin{array}{l} 3 x+9 y=7 \\ 2 x+6 y=4 \end{array}$

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Problem 481

Solve using any method: $\begin{array}{l} 3 x+9 y=7 \\ 2 x+6 y=4 \end{array}$

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Problem 482

Solve the system of equations by graphing: $\left\{\begin{array}{ll} 2 y+10 x & =-28 \\ y & =-5 x-14 \end{array}\right.$
Enter your answer as a numbers. If the system is inconsistent (has no solutions), enter DNE (for "does not exist") into each box. If the system is dependent (infinite number of solutions), enter the form of solutions into each box.)
Answer: $(x, y)=($ $\square$ , $\square$ )

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Problem 483

Determine whether the given ordered pair is a solution of the systern. $\begin{array}{l} (2,-5) \\ y=3 x-11 \\ 2 x+2 y=-6 \end{array}$
Is $(2,-5)$ a solution of the system? Yes No

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Problem 484

1. $2 x+5=9$

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Problem 485

Which expression is equivalent to $9 b+$ $b$ ? $8 b+2 b$ $11 b$ $b^{10}$ $b+10$

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Problem 486

What is the solution to the equation $-13=9-2 n ?$

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Problem 487

$5+7(5 m+8)=-2 m+24$

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Problem 488

What is the solution to this equation? $-2-5 n=33$ $n=-4$

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Problem 489

Solve for $s$ . $\begin{array}{l} \frac{s-8}{2}=1 \\ s=\square \end{array}$

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Problem 490

Write an equivalent expression. $2.1+(8 x+0.5)$

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Problem 491

Write an agavalunt expression $b i=8$

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Problem 492

Find the $y$ -intercept of the line $y=6 x+11$ . Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

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Problem 493

$2(y+5)-2(y-1)$

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Problem 494

$5(m-4)-3(m+1)$

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Problem 495

Solve: $3 x-6>8$ The answer has form: $x>A$ $x<A$
Where $\mathrm{A}=$ $\square$

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Problem 496

Official Time: 10:14:12
Question 3 [10 points] If $\mathbf{u}$ and $\mathbf{v}$ are the vectors below, solve the following equation for the vector $\mathbf{x}$ . $\begin{array}{l} \mathbf{u}=\left[\begin{array}{l} -5 \\ -3 \\ -2 \end{array}\right] \mathbf{v}=\left[\begin{array}{c} -5 \\ 5 \\ 5 \end{array}\right] \\ \mathbf{x}-2 \mathbf{u}+\mathbf{v}=3(-\mathbf{u}-\mathbf{x})-2 \mathbf{v} \\ \mathbf{x}=\left[\begin{array}{l} 0 \\ 0 \\ 0 \end{array}\right] \end{array}$ SUBMIT AND MARK

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Problem 497

For each equation, choose the statement that describes its solution If applicable, give the solution. $-2(y+1)+5 y=3(y+1)-2$ No solution $y=$ $\square$ All real numbers are solutions $4(w+2)-w=2(w-1)+9$ No solution $w=$ $\square$ All real numbers are solutions Check

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Problem 498

4) $8 c-184<4(3-5 c)$ 9) $4 a-6+5 a \geq 147$

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Problem 499

5) $-50 \geq 2 q+3 q$ 10) $2(4-3 g)-5 g<6 g-128$

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Problem 500

Select the correct answer.
Which expression is equivalent to $21 \sqrt[3]{15}-9 \sqrt[3]{15}$ ? A. 12 B. $30 \sqrt[3]{15}$ C. $12 \sqrt[3]{5}$ D. $12 \sqrt[3]{15}$

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1 2 3 4 5 6 7 8 ...76

Linearity

Problem 401

2) Taryn starts a new job and recelves a $1,000\$ 1,000$1,000 bonus, She also recelves a salary of $800\$ 800$800 every two weeks. Represent this relationship using a graph. Be sure to label the axes. What is the slope, and what does it represent?

Problem 402

Solve the following system of equations. 5x+4y=−23x+4y=10\begin{array}{l} 5 x+4 y=-2 \\ 3 x+4 y=10 \end{array}5x+4y=−23x+4y=10​ x=y=\begin{array}{l} x= \\ y= \end{array}x=y=​ □\square□ □\square□

Problem 403

Problem 404

Subtract. (−6a+9)−(−3a−1)(-6 a+9)-(-3 a-1)(−6a+9)−(−3a−1)

Problem 405

Do You Know How?4. A tank containing 35 gallons of water is leaking at a rate of 14\frac{1}{4}41​ gallon per minute. Write an expression to determine the number of gallons left in the tank after mmm minutes.

Problem 406

\begin{tabular}{|l|l|} \hline 4. Matthew gets a gym membership that costs $30\$ 30$30 & a. How much will he pay after 4 months? \\ per month. The initial sign up cost is $10\$ 10$10. Write a \\ linear equation to represent how much Matthew \\ will pay. \end{tabular}

Problem 407

Question 8 of 10 For f(x)=4x+1f(x)=4 x+1f(x)=4x+1 and g(x)=x2−5g(x)=x^{2}-5g(x)=x2−5, find (f−g)(x)(f-g)(x)(f−g)(x). A. −x2+4x−4-x^{2}+4 x-4−x2+4x−4 B. 4x2−194 x^{2}-194x2−19 C. −x2+4x+6-x^{2}+4 x+6−x2+4x+6 D. x2−4x−6x^{2}-4 x-6x2−4x−6

Problem 408

x−5y=15−x+3y=−11\begin{array}{l}x-5 y=15 \\ -x+3 y=-11\end{array}x−5y=15−x+3y=−11​

Problem 409

Problem 410

Problem 411

7) −4x+y=6−5x−y=21x=−3,y=−6\begin{array}{l}-4 x+y=6 \\ -5 x-y=21 \\ x=-3, y=-6\end{array}−4x+y=6−5x−y=21x=−3,y=−6​

Problem 412

x−7y=−4x-7 y=-4x−7y=−4

Problem 413

Problem 414

The graph shows the number of fans, yyy, a musician has based on number of days the musician spent social networking, xxx.Social NetworkingWhich equation best represents the relationship between xxx and yyy ?A y=10+xy=10+xy=10+xB x=y+10x=y+10x=y+10C y=10xy=10 xy=10xD x=10yx=10 yx=10y

Problem 415

Problem 416

Problem 417

4) −3x−3y=3y=−5x−17x=1,y=2\begin{array}{l} \text { 4) }-3 x-3 y=3 \\ y=-5 x-17 \\ x=1, y=2 \end{array} 4) −3x−3y=3y=−5x−17x=1,y=2​

Problem 418

1. y=2x−1y=2 x-1y=2x−1 slope === \qquad yyy-intercept === \qquad

Problem 419

Put the following equation of a line into slope-intercept form, simplifying all fractions. 20x−8y=4020 x-8 y=4020x−8y=40

Problem 420

Function A and Function B are linear functions. videFunction AFunction B y=35x+3y=\frac{3}{5} x+3y=53​x+3Which statement is true?The yyy-intercept of Function AAA is greater than the yyy-intercept of Function BBB.The yyy intercept of Function AAA is less than the yyy-intercept of Function B .

Problem 421

Function AAA and Function BBB are linear functions. Function A Function B y=12x−2y=\frac{1}{2} x-2y=21​x−2Which statement is true?The slope of Function A is greater than the slope of Function B .The slope of Function AAA is less than the slope of Function BBB.

Problem 422

11) x+3y=1−3x−3y=−15x=0,y=13\begin{array}{l}x+3 y=1 \\ -3 x-3 y=-15 \\ x=0, y=\frac{1}{3}\end{array}x+3y=1−3x−3y=−15x=0,y=31​​

Problem 423

Question list Determine whether the given number is a solution of the equation. x8=3;24\frac{x}{8}=3 ; 248x​=3;24 ( Question 1 ( Question 2 Yes No Question 3Question 4

Problem 424

Complete the table and then graph the function. \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{f(x)=x−7f(x)=x-7f(x)=x−7} \\ \hlinexxx & f(x)f(x)f(x) \\ \hline-2 & -9 \\ \hline 1 & -6 \\ \hline 2 & -5 \\ \hline 10 & 3 \\ \hline \end{tabular}Click to select points on the graph.

Problem 425

12;−8x=−5212 ;-8 x=-5212;−8x=−52

Problem 426

−4(m+3)=24-4(m+3)=24−4(m+3)=24

Problem 427

10x+y>5y>32x−9\begin{array}{l}10 x+y>5 \\ y>\frac{3}{2} x-9\end{array}10x+y>5y>23​x−9​

Problem 428

Write an equivalent expression by distributing the " -" sign outside the parentheses: −10m−(−7.6n+1)-10 m-(-7.6 n+1)−10m−(−7.6n+1)Answer Attempt 1 out of 2 □\square□ Submit Answer

Problem 429

12t−8x=−5212 t-8 x=-5212t−8x=−52

Problem 430

Write an equation in slope-intercept form of the line that passes through (1,−9)(1,-9)(1,−9) and (−3,−9)(-3,-9)(−3,−9). y=y=y= □\square□

Problem 431

72. 10−3(2x−1)=110-3(2 x-1)=110−3(2x−1)=1

Problem 432

Solve for zzz. 9=−21−1011z9=-21-\frac{10}{11} z9=−21−1110​zAnswer Attempt 1 out of 2 z=z=z= □\square□ Submit Answer

Problem 433

Problem 434

Solve for zzz. 34=−23z−1034=-\frac{2}{3} z-1034=−32​z−10Answer Attempt 1 out of 2 z=z=z= □\square□ Submit Answer

Problem 435

Is f=70f=70f=70 a solution to the inequality below? f2−10≥38\frac{f}{2}-10 \geq 382f​−10≥38 yes noSubmit

Problem 436

Problem 437

Problem 438

ain an equation in one variable to solve the system by substitution.2. y=−8x+2y=-8 x+2y=−8x+2 2x+y=−102 x+y=-102x+y=−10

Problem 439

x>1y<2x−3y>x\begin{array}{l}x>1 \\ y<2 x-3 \\ y>x\end{array}x>1y<2x−3y>x​

Problem 440

What value of xxx makes the equation below true? 4x−3=14 x-3=14x−3=1Answer 1 3 11 20

Problem 441

Solve for x . 5(x−5)−2x−4=−205(x-5)-2 x-4=-205(x−5)−2x−4=−20Answer Attempt i out of 2 x=x=x=

Problem 442

Solve for xxx : −7x−(x+6)=9+2x-7 x-(x+6)=9+2 x−7x−(x+6)=9+2xAnswer Attempt 1 out of 2 x=x=x= □\square□ Submit Answer

Problem 443

Solve for xxx : −14x+2=−10x+2-14 x+2=-10 x+2−14x+2=−10x+2Answer Attempt 1 out of 2 x=x=x= □\square□ Submit Answer

Problem 444

Solve for r . 10+r=210+r=210+r=2Answer Attempt 1 out of 2

2) Taryn starts a new job and recelves a $\$ 1,000$ bonus, She also recelves a salary of $\$ 800$ every two weeks. Represent this relationship using a graph. Be sure to label the axes. What is the slope, and what does it represent?

Solve the following system of equations. $\begin{array}{l} 5 x+4 y=-2 \\ 3 x+4 y=10 \end{array}$ $\begin{array}{l} x= \\ y= \end{array}$ $\square$ $\square$

Subtract. $(-6 a+9)-(-3 a-1)$

Do You Know How?
4. A tank containing 35 gallons of water is leaking at a rate of $\frac{1}{4}$ gallon per minute. Write an expression to determine the number of gallons left in the tank after $m$ minutes.

\begin{tabular}{|l|l|} \hline 4. Matthew gets a gym membership that costs $\$ 30$ & a. How much will he pay after 4 months? \\ per month. The initial sign up cost is $\$ 10$ . Write a \\ linear equation to represent how much Matthew \\ will pay. \end{tabular}

Question 8 of 10 For $f(x)=4 x+1$ and $g(x)=x^{2}-5$ , find $(f-g)(x)$ . A. $-x^{2}+4 x-4$ B. $4 x^{2}-19$ C. $-x^{2}+4 x+6$ D. $x^{2}-4 x-6$

$\begin{array}{l}x-5 y=15 \\ -x+3 y=-11\end{array}$

7) $\begin{array}{l}-4 x+y=6 \\ -5 x-y=21 \\ x=-3, y=-6\end{array}$

$x-7 y=-4$

The graph shows the number of fans, $y$ , a musician has based on number of days the musician spent social networking, $x$ .
Social Networking
Which equation best represents the relationship between $x$ and $y$ ?
A $y=10+x$
B $x=y+10$
C $y=10 x$
D $x=10 y$

$\begin{array}{l} \text { 4) }-3 x-3 y=3 \\ y=-5 x-17 \\ x=1, y=2 \end{array}$

1. $y=2 x-1$ slope $=$ $\qquad$ $y$ -intercept $=$ $\qquad$

Put the following equation of a line into slope-intercept form, simplifying all fractions. $20 x-8 y=40$

Function A and Function B are linear functions. vide
Function A
Function B $y=\frac{3}{5} x+3$
Which statement is true?
The $y$ -intercept of Function $A$ is greater than the $y$ -intercept of Function $B$ .
The $y$ intercept of Function $A$ is less than the $y$ -intercept of Function B .

Function $A$ and Function $B$ are linear functions. Function A Function B $y=\frac{1}{2} x-2$
Which statement is true?
The slope of Function A is greater than the slope of Function B .
The slope of Function $A$ is less than the slope of Function $B$ .

11) $\begin{array}{l}x+3 y=1 \\ -3 x-3 y=-15 \\ x=0, y=\frac{1}{3}\end{array}$

Question list Determine whether the given number is a solution of the equation. $\frac{x}{8}=3 ; 24$ ( Question 1 ( Question 2 Yes No Question 3
Question 4

Complete the table and then graph the function. \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ $f(x)=x-7$ } \\ \hline $x$ & $f(x)$ \\ \hline-2 & -9 \\ \hline 1 & -6 \\ \hline 2 & -5 \\ \hline 10 & 3 \\ \hline \end{tabular}
Click to select points on the graph.

$12 ;-8 x=-52$

$-4(m+3)=24$

$\begin{array}{l}10 x+y>5 \\ y>\frac{3}{2} x-9\end{array}$

Write an equivalent expression by distributing the " -" sign outside the parentheses: $-10 m-(-7.6 n+1)$
Answer Attempt 1 out of 2 $\square$ Submit Answer

$12 t-8 x=-52$

Write an equation in slope-intercept form of the line that passes through $(1,-9)$ and $(-3,-9)$ . $y=$ $\square$

72. $10-3(2 x-1)=1$

Solve for $z$ . $9=-21-\frac{10}{11} z$
Answer Attempt 1 out of 2 $z=$ $\square$ Submit Answer

Solve for $z$ . $34=-\frac{2}{3} z-10$
Answer Attempt 1 out of 2 $z=$ $\square$ Submit Answer

Is $f=70$ a solution to the inequality below? $\frac{f}{2}-10 \geq 38$ yes no
Submit

ain an equation in one variable to solve the system by substitution.
2. $y=-8 x+2$ $2 x+y=-10$

$\begin{array}{l}x>1 \\ y<2 x-3 \\ y>x\end{array}$

What value of $x$ makes the equation below true? $4 x-3=1$
Answer 1 3 11 20

Solve for x . $5(x-5)-2 x-4=-20$
Answer Attempt i out of 2 $x=$

Solve for $x$ : $-7 x-(x+6)=9+2 x$
Answer Attempt 1 out of 2 $x=$ $\square$ Submit Answer

Solve for $x$ : $-14 x+2=-10 x+2$
Answer Attempt 1 out of 2 $x=$ $\square$ Submit Answer

Solve for r . $10+r=2$
Answer Attempt 1 out of 2

$\boldsymbol{n} = -\frac{2}{2}, (-3, -1)$
\text{GENERAL form}

Solve the system by elimination. $\left\{\begin{array}{l} -5 x-4 y=-17 \\ -3 x+5 y=12 \end{array}\right.$ One solution: $\square$ No solution Infinite number of solutions Question Help: Video

9) $12+3 x=3 x+8-2$

$6=-\frac{4}{3} u$

$-11=-47-12 b$

5. A company has a budget of $\$ 500$ for office supplies. If notebooks cost $\$ 2$ each and pens cost $\$ 1$ each, write an inequality for the number of notebooks and pens they can buy. Can they buy 150 notebooks and 50 pens?

6 Which three points are in the solution set of $-x+y \leq 1$ $F(-4,-3)$ G $(-1,1)$ $H(2,3)$ J $(4,2)$ K $(-3,-1)$

Question Watch Video Show Examples
Find the equation of the linear function represented by the table below in slope-intercept form. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-4 & 19 \\ \hline 1 & -6 \\ \hline 6 & -31 \\ \hline 11 & -56 \\ \hline \end{tabular}

.3
إذا كان u=2v فإن المتجهين $u, v$ في الاتجاه نفسه
صح
خطأ

Identify the slope and $y$ -intercept of the following linear equation: $\begin{array}{l} y=x-3 \\ m=\square \\ b= \end{array}$

Write the equation of a line in slope-intercept form with the following characteristics: A.) slope $=1 / 4 ; y$ -intercept $=2$ B.) slope $=-3 / 2$ ; passes through $(-4,7)$ C.) passes through $(-2,1)$ and $(2,-5)$

Write the equation of the line in point-slope form with the following characteristics: A) slope $=2 ; y$ -intercept $=3$ B) slope $=-2$ ; passes through $(-3,5)$

Jasmine had $\$ 800.00$ to invest. She invested part at $9 \%$ per annum and the rest at $12 \%$ per annum. After one year, the total interest camed was \$79.50. How much did she invest at each rate?

Solve: $-8-3 x<4$ The answer has form: $x>A$ $x<A$
Where $\mathrm{A}=$ $\square$ Question Help: Video Submit Question Jump to Answer

Solve: $2-3 x>4$ The answer has form: $x>A$ $x<A$

Solve: $4 x+3<6 x+4$ The answer has form: $x<A$ $x>A$
Where $A=$ $\square$ Question Help: Video Submit Question Jump to Answer

$3 x+4 y=8$
DEETHO THE $X$ -INTEREEPT AND THE $y$ -INTERCEPT (GEE P. 73 MATH NOTES)

Solve: $7-5 x>3$ The answer has form: $x>A$ $x<A$

Question Solve the following equation for $a$ . Be sure to take into account whether a letter is capitalized or not. $a f=H$
Answer Aitempt 1 out of 2 $a=$ $\square$ Submit Answer

Combine like terms to simplify the expression. $3 x+9-4 x$

Use the substitution method to solve the system $\left\{\begin{array}{l} -x+y=2 \\ 4 x-3 y=-9 \end{array}\right.$ One or more solutions: $\square$ No solution Infinite number of solutions