Analyze

Problem 9801

Identify which functions are symmetric about the $y$ -axis: A. $y=x^{3}$ , B. $y=\sqrt{x}$ , C. $y=\frac{1}{x}$ , D. $y=|x|$ .

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Problem 9802

Graph $y=f(x)$ where $f(x)=-1$ . Find $y$ for $x=-1, 0, 1$ . What are the $y$ -coordinates?

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Problem 9803

Identify the irrational numbers from the following: a. $\sqrt{53}$ , b. $\sqrt{49}$ , c. $\sqrt{256}$ , d. $\sqrt{245}$ , e. $2-3 \sqrt{3}$ , f. $\sqrt{3} \cdot 5$ . Choose all that apply.

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Problem 9804

Find real values of $x$ for the following: a. $\sqrt{x}=6$ , b. $\sqrt{x}=-6$ , c. $\sqrt{-x}=-6$ , d. $\sqrt{x}>0$ , e. $\sqrt{-x}=6$ , f. $\sqrt{x}<0$ .

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Problem 9805

Solve the system of equations: $x + 2y - z = 2$ , $x + y + 2z = 9$ , $2x + 3y - 3z = -1$ .

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Problem 9806

What expression shows John's age in 8 years if $y$ is his current age? Options: $y+8$ , $y-8$ , $8y$ , $\frac{y}{8}$ .

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Problem 9807

Compare $6^{2}+14 \div 2$ and $100-8^{2}$ : Is it equal, greater, or less?

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Problem 9808

Compare $|-12|$ and $|8|$ . Which is true: $|-12|<|8|$ , $|-12|>|8|$ , or $|-12|=|8|$ ?

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Problem 9809

Determine the true statement for $x=-5$ : $x^{2}+10$ , $x+x+x$ are equal, or one is greater than the other.

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Problem 9810

Find the real values of $x$ for which the following are true: a. $\sqrt{x}=7$ , b. $\sqrt{x}=-7$ , c. $\sqrt{-x}=7$ , d. $\sqrt{-x}=-7$ , e. $\sqrt{x}>0$ , f. $\sqrt{x}<0$ . Choose the correct answer: A. $x=$ , B. $\{x \mid x<\square\}$ , C. $\{x \mid x>\square\}$ , D. No real solution.

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Problem 9811

Find the real values of $x$ for the following: a. $\sqrt{x}=6$ , b. $\sqrt{x}=-6$ , c. $\sqrt{-x}=6$ , d. $\sqrt{-x}=-6$ , e. $\sqrt{x}>0$ , f. $\sqrt{x}<0$ .

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Problem 9812

Determine how many rows a frequency table would have if academic performance scores from schools are listed individually.

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Problem 9813

Find the corner points of the following inequalities: $3x - 2y \leq 6$ , $x + y \geq -5$ , $y \geq 4$ .

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Problem 9814

Solve the inequality: $-\frac{13}{4} < x < -\frac{5}{2}$ .

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Problem 9815

Doggo Inc. maximizes profit by producing 0 Deluxe Lamb and 125 Traditional Chicken bags daily. What does this mean?

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Problem 9816

Find the temperature difference between Juneau and Boston at 6 a.m. and Boston's noon temperature after a $10^{\circ} \mathrm{F}$ rise.

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Problem 9817

Find the relationship between $x$ and $y$ if the line through points (3,6) and (6,8) represents $Y=\log y$ vs. $X=\log x$ .

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Problem 9818

Given the altitudes for five checkpoints:
1: -55, 2: -122, 3: -184, 4: 1116, 5: 2879.
(a) What is the altitude of a hill that is 172 feet above Checkpoint 3? (b) How much lower is Checkpoint 2 than Checkpoint 4?

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Problem 9819

Given the altitudes of checkpoints: 1: -55, 2: -122, 3: -184, 4: 1,116, 5: 2,879.
(a) Altitude of hill above checkpoint 3: $-184 + 172$ .
(b) Difference in altitude between checkpoints 2 and 4: $(-122) - 1,116$ .

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Problem 9820

Add using a number line: Show $-4 + (-5)$ with two arrows.

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Problem 9821

Identify which function is continuous for all $x$ in the interval $(-\infty, \infty)$ from the given options.

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Problem 9822

Calculate the average volume of pollutants from the plants: Susquehanna (0.314 L), Fall River (4.23 L), Doheny (11.81 L).

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Problem 9823

Calculate the average volume of pollutants from three plants: 0.658 L, 0.512 L, and 34.47 L. Use significant digits.

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Problem 9824

Calculate the average volume of pollutant from the plants: Platte (7.08 L), New Bedford (0.901 L), Doheny (3.107 L).

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Problem 9825

Calculate the average volume of pollutants from three plants: 48.7 L, 0.86 L, and 0.788 L. Report with correct significant digits.

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Problem 9826

Triangle ABC with vertices A(4,2), B(2,7), C(6,5) is translated. Which transformations map it to A''B''C''? Options: A, B, or C?

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Problem 9827

Find the average volume of pollutant from the plants: New Bedford (0.285 L), Pitt (0.842 L), Doheny (0.75 L).

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Problem 9828

A chemical engineer has pollutant volumes: Fall River: 6.109 L, Platte: 20.60 L, New Bedford: 0.214 L. Find the average volume with correct significant digits.

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Problem 9829

Calculate the average volume of pollutants from three plants: Fall River (2.733 L), Cross Creek (0.5 L), Pinecrest (1.247 L).

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Problem 9830

Calculate the average volume of pollutant from the plants: Susquehanna (9.208 L), Cross Creek (49.9 L), South Fork (7.68 L).

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Problem 9831

Record adjusting entries for Wolverine Company on December 31, 2021, based on these transactions:
1. Rent received: $\$ 4,000$ (Deferred Revenue)
2. Insurance: $\$ 13,200$ (Prepaid Insurance)
3. Salaries: $\$ 3,000$ (to be paid in January)
4. Loan: $\$ 15,000$ (10% interest due in 2022)
5. Supplies: Start $\$ 1,000$ , add $\$ 3,400$ , end with $\$ 500$ .

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Problem 9832

A chemical engineer needs to find the average pollutant volume from three plants: Lincoln (0.289 L), Susquehanna (7.27 L), and Fall River (45.9 L). What is the average volume with the correct significant digits?

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Problem 9833

Calculate the average volume of pollutant from the plants: New Salem (5.629 L), New Bedford (0.429 L), South Fork (4.92 L).

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Problem 9834

A chemical engineer has pollutant volumes: Allegheny: 8.49 L, Pinecrest: 1.77 L, Lincoln: 6.38 L. Find the average volume.

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Problem 9835

Calculate the average volume of pollutant from these plants: Cross Creek (2.081 L), Pitt (0.20 L), Macon (0.911 L).

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Problem 9836

Find the range of values of $p$ such that both $3x^{2}+2px+3=0$ and $x^{2}+4x-p=0$ have real roots.

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Problem 9837

Identify the types of number for 5: rational, whole, natural, integer. Select all that apply or "only" if one is correct.

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Problem 9838

A chemical engineer has pollutant volumes from plants: New Bedford (5.7 L), Pitt (0.2 L), South Fork (49.2 L). Find the average volume with correct significant digits.

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Problem 9839

Fill in the blank: A natural number greater than 1 that is divisible by a number other than itself and 1 is called a/an ______ number.

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Problem 9840

Calculate the average volume of pollutants from three plants: New Bedford (6.215 L), Allegheny (5.4 L), Fall River (30.2 L).

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Problem 9841

Is 7264 divisible by 2? (Answer: Yes or No)

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Problem 9842

Define the function $f$ : $f(x) = -3x + 4$ for $x < 1$ and $f(x) = 4x - 3$ for $x \geq 1$ . Find its domain, intercepts, graph, and range.

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Problem 9843

Is 7264 divisible by 3, 4, or 5? Answer with Yes or No for each.

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Problem 9844

Check if 7264 is divisible by 2 and 3. Answers: a. Yes/No, b. Yes/No.

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Problem 9845

Check if 7264 is divisible by 2, 3, and 4. Answers: a. Yes/No, b. Yes/No, c. Yes/No.

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Problem 9846

Find the values of $x$ and $y$ that satisfy the equation $2x + 3y = 12$ for the point $(3,1)$ .

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Problem 9847

Identify the types of functions $f(x)=x^{3}+x^{2}-3 x+4$ and $g(x)=2^{x}-4$ . What do they have in common?

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Problem 9848

Check if 7264 is divisible by 6, 8, and 9. Answer Yes or No for each.

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Problem 9849

Define the function $f(x)$ as: $f(x)=x$ if $x<0$ and $f(x)=x^{2}$ if $x \geq 0$ . Find its domain, intercepts, graph, and range.

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Problem 9850

Check if 7264 is divisible by 9, 10, and 12.

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Problem 9851

Graph a right triangle using points $(-2,6)$ and $(1,-2)$ . Find the distance between these points in simplest radical form.

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Problem 9852

Find the sum function $(f+g)(x)$ for $f(x)=5x+4$ if $x<2$ and $x^2+4x$ if $x \geq 2$ , and $g(x)=-3x+1$ if $x \leq 0$ and $g(x)=x-7$ if $x > 0$ .

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Problem 9853

Is 147,701 divisible by 4? Answer with Yes or No.

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Problem 9854

Is 147,701 divisible by 4 or 9? Check by using $147701 \mod 4$ and $147701 \mod 9$ .

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Problem 9855

Find the values of $m$ such that $2x - 2m + (x + m)^{2} > 0$ for all real $x$ .

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Problem 9856

Identify the types of functions $f(x)=x^{3}+x^{2}-3 x+4$ and $g(x)=2^{x}-4$ . What do they have in common?

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Problem 9857

Find the slope of the line given by the equation $2x + 3y = 12$ .

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Problem 9858

Check if 147,701 is divisible by 4, 9, 10, and 6. Results: 4 (Yes), 9 (No), 10 (Yes), 6 (No).

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Problem 9859

Find the coordinates of the point $(x,y)$ that satisfies the equation $3x - 5y = 15$ at the point $(6,1)$ .

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Problem 9860

Find the roots of $2 x = -5 + 3 x^{2}$ and the values of $c$ for which $3 x^{2} + 5 x + c > 0$ .

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Problem 9861

Bob bought a house for \ $42,000, now worth \$67,500. Find$ m $and$ b $in$ V=m t+b $for$ 0 \leq t \leq 15$.

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Problem 9862

Identify the sequence: $11, 13, 17, 19, 23, 29, 31, 37, \ldots$ What type of numbers are these? A) Prime B) Composite C) Whole D) Natural

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Problem 9863

You and your brother work from 4 PM to midnight. You have every 9th night off, he has every 6th. When is your next shared night off after April 1?

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Problem 9864

Determine if this statement is valid: "A prime number has three natural number factors." Choose A, B, or C.

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Problem 9865

How many years in a teen's life are they a prime age? A. 3 B. 4 C. 1 D. 2

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Problem 9866

Check if 4328 is divisible by 2, 3, 4, 5, 6, 8, 9, 10, and 12 using divisibility rules.

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Problem 9867

Determine the number of significant figures in $20.00_{3}$ .

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Problem 9868

Count the significant figures in 0.0157 kg. [Choose]

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Problem 9869

Determine if this statement makes sense: "A prime number has three natural number factors." Explain your reasoning.

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Problem 9870

How many significant figures are in 28.00 g?

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Problem 9871

Count the significant figures in the measurement $75.000 \mathrm{~m}$ .

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Problem 9872

Calculate the interest earned by Anjana's simple interest and Darin's compound interest on \ $3000 at$ 4.9\%$ over 5 years.

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Problem 9873

Find the value of $k$ for the function $f(x)=\left\{\begin{array}{ll}\frac{\sqrt{x+3}-\sqrt{3 x-1}}{x-2} & x \neq 2 \\ k & x=2\end{array}\right.$ to be continuous.

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Problem 9874

Report the significant digits in the calculation: $(4.3-3.7) \times 12.3=$

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Problem 9875

Identify the correct half-equation for the oxidation of ethanol to ethanoic acid from the options provided.

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Problem 9876

Find the unit price $p$ that maximizes revenue $r(p) = -9p^2 + 27,000p$ and determine the maximum revenue.

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Problem 9877

Find the unit price $p$ that maximizes revenue given $r(p)=-9p^2+36,000p$ . What is the maximum revenue?

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Problem 9878

Monthly revenue is $R(x)=79x-0.2x^2$ and cost is $C(x)=26x+1650$ . Find wristwatches for max revenue and profit, then explain differences.

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Problem 9879

Monthly revenue from selling $x$ wristwatches is $R(x)=79x-0.2x^2$ and cost is $C(x)=26x+1650$ . Find max revenue, profit function, and max profit. Explain differences in results.

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Problem 9880

Hans has two coupons for a \$57 phone: A: \$8 off, B: 20% off. Which coupon gives a lower price? Fill in the blank: \$\square less.

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Problem 9881

Monthly revenue from selling $x$ wristwatches is $R(x)=75x-0.2x^2$ and cost is $C(x)=32x+1750$ .
(a) Find $x$ for max revenue and max revenue amount. (b) Profit function is $P(x)=R(x)-C(x)$ . (c) Find $x$ for max profit and max profit amount. (d) Explain differences in (a) and (c) and why a quadratic model works for revenue.

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Problem 9882

Find the shot's max horizontal distance given its max height is 42.85 ft at 35 ft from release, thrown at 65 degrees. Use $F(x)=-0.03x^2+2.1x+6.1$ .

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Problem 9883

List the fractions of red, blue, green, and yellow marbles from greatest to least based on 60 total marbles.

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Problem 9884

List the electives from most popular to least popular based on these percentages: Choir (0.35), Art (0.44), Band (0.42), Theater (0.38). Options: A. Band, Art, Theater, Choir B. Art, Band, Theater, Choir C. Band, Choir, Art, Theater D. Art, Band, Choir, Theater.

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Problem 9885

Monthly revenue from selling $x$ wristwatches is $R(x)=75x-0.2x^2$ , and cost is $C(x)=30x+1600$ . Find:
(a) Wristwatches for max revenue and max revenue $\$$ . (b) Profit function $P(x)=R(x)-C(x)$ . (c) Wristwatches for max profit and max profit $\$$ . (d) Explain why max revenue and profit quantities differ and why a quadratic model is suitable for revenue.

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Problem 9886

Which student grew the least: Ellen ( $\frac{7}{8}$ inch), Kelvin ( $\frac{9}{16}$ inch), or Grady ( $\frac{3}{4}$ inch)?

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Problem 9887

Which of these is NOT equal to $\frac{36}{54}$ ? A. $\frac{12}{18}$ B. $\frac{8}{12}$ C. $\frac{24}{30}$ D. $\frac{48}{72}$

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Problem 9888

Students voted for their favorite after-school activities. Order these from most to least popular: Computer Games $\frac{1}{2}$ , Read $\frac{1}{12}$ , Watch TV $\frac{1}{6}$ , Play Sports $\frac{1}{4}$ .

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Problem 9889

A shot put's height is given by $F(x)=-0.02x^2+1.2x+5.3$ .
a. Confirm if the max height is 23.3 feet.
b. Find the max horizontal distance of the throw.

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Problem 9890

An athlete releases a shot at 50 degrees, modeled by $f(x)=-0.2x^2+1.2x+5.3$ . Find max height and distance.

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Problem 9891

Which inequality is true: A. $\frac{3}{4}<\frac{5}{9}$ , B. $\frac{17}{20}>\frac{4}{5}$ , C. $\frac{5}{6}<\frac{11}{14}$ , D. $\frac{7}{12}>\frac{16}{25}$ ?

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Problem 9892

Find the max horizontal distance of a shot with max height 23.3 units at 30 feet, following $F(x)=-0.02x^2+1.2x+5.3$ .

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Problem 9893

An athlete releases a shot modeled by $f(x)=-0.01 x^{2}+0.6 x$ . Find the max height and distance from release point.

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Problem 9894

Use the distributive property to simplify $8-3(2+4 k)$ . Identify the correct student and explain mistakes in others' work.

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Problem 9895

Given $AEC$ is a line and $\triangle ABC \cong \triangle DEC$ . Find $AB$ , $CD$ , $\angle BCA$ , and $y$ using given lengths and angles.

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Problem 9896

A shot reaches a max height of 21.3 ft at 40 ft from release. Find its max horizontal distance using $F(x)=-0.01x^2+0.8x+5.3$ .

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Problem 9897

Find the percentage of people with IQs between 55 and 145, given a mean of 100 and a standard deviation of 15.

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Problem 9898

Find the percentage of people with an IQ over 130, given a normal distribution with mean 100 and standard deviation 15.

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Problem 9899

What property of equality solves $-15+x=18$ ? (A) Addition (B) Subtraction (C) Multiplication (D) Division

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Problem 9900

a. Write the cost function $C(x)=565.00+0.65 x$ for $x$ roast beef sandwiches. b. Profit function is $P(x)=-0.001 x^{2}+2.35 x-565.00$ . c. Find $x$ for max profit and state max profit $\$ \square$ when $\square$ sandwiches sold.

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1 ...96 97 98 99 100 101 102 ...161

Analyze

Problem 9801

Identify which functions are symmetric about the yyy-axis: A. y=x3y=x^{3}y=x3, B. y=xy=\sqrt{x}y=x​, C. y=1xy=\frac{1}{x}y=x1​, D. y=∣x∣y=|x|y=∣x∣.

Problem 9802

Graph y=f(x)y=f(x)y=f(x) where f(x)=−1f(x)=-1f(x)=−1. Find yyy for x=−1,0,1x=-1, 0, 1x=−1,0,1. What are the yyy-coordinates?

Problem 9803

Identify the irrational numbers from the following: a. 53\sqrt{53}53​, b. 49\sqrt{49}49​, c. 256\sqrt{256}256​, d. 245\sqrt{245}245​, e. 2−332-3 \sqrt{3}2−33​, f. 3⋅5\sqrt{3} \cdot 53​⋅5. Choose all that apply.

Problem 9804

Find real values of xxx for the following: a. x=6\sqrt{x}=6x​=6, b. x=−6\sqrt{x}=-6x​=−6, c. −x=−6\sqrt{-x}=-6−x​=−6, d. x>0\sqrt{x}>0x​>0, e. −x=6\sqrt{-x}=6−x​=6, f. x<0\sqrt{x}<0x​<0.

Problem 9805

Solve the system of equations: x+2y−z=2x + 2y - z = 2x+2y−z=2, x+y+2z=9x + y + 2z = 9x+y+2z=9, 2x+3y−3z=−12x + 3y - 3z = -12x+3y−3z=−1.

Problem 9806

What expression shows John's age in 8 years if yyy is his current age? Options: y+8y+8y+8, y−8y-8y−8, 8y8y8y, y8\frac{y}{8}8y​.

Problem 9807

Compare 62+14÷26^{2}+14 \div 262+14÷2 and 100−82100-8^{2}100−82: Is it equal, greater, or less?

Problem 9808

Compare ∣−12∣|-12|∣−12∣ and ∣8∣|8|∣8∣. Which is true: ∣−12∣<∣8∣|-12|<|8|∣−12∣<∣8∣, ∣−12∣>∣8∣|-12|>|8|∣−12∣>∣8∣, or ∣−12∣=∣8∣|-12|=|8|∣−12∣=∣8∣?

Problem 9809

Determine the true statement for x=−5x=-5x=−5: x2+10x^{2}+10x2+10, x+x+xx+x+xx+x+x are equal, or one is greater than the other.

Problem 9810

Problem 9811

Find the real values of xxx for the following: a. x=6\sqrt{x}=6x​=6, b. x=−6\sqrt{x}=-6x​=−6, c. −x=6\sqrt{-x}=6−x​=6, d. −x=−6\sqrt{-x}=-6−x​=−6, e. x>0\sqrt{x}>0x​>0, f. x<0\sqrt{x}<0x​<0.

Problem 9812

Determine how many rows a frequency table would have if academic performance scores from schools are listed individually.

Problem 9813

Find the corner points of the following inequalities: 3x−2y≤63x - 2y \leq 63x−2y≤6, x+y≥−5x + y \geq -5x+y≥−5, y≥4y \geq 4y≥4.

Problem 9814

Solve the inequality: −134<x<−52-\frac{13}{4} < x < -\frac{5}{2}−413​<x<−25​.

Problem 9815

Doggo Inc. maximizes profit by producing 0 Deluxe Lamb and 125 Traditional Chicken bags daily. What does this mean?

Problem 9816

Find the temperature difference between Juneau and Boston at 6 a.m. and Boston's noon temperature after a 10∘F10^{\circ} \mathrm{F}10∘F rise.

Problem 9817

Find the relationship between xxx and yyy if the line through points (3,6) and (6,8) represents Y=log⁡yY=\log yY=logy vs. X=log⁡xX=\log xX=logx.

Problem 9818

Given the altitudes for five checkpoints: 1: -55, 2: -122, 3: -184, 4: 1116, 5: 2879. (a) What is the altitude of a hill that is 172 feet above Checkpoint 3? (b) How much lower is Checkpoint 2 than Checkpoint 4?

Problem 9819

Given the altitudes of checkpoints: 1: -55, 2: -122, 3: -184, 4: 1,116, 5: 2,879. (a) Altitude of hill above checkpoint 3: −184+172-184 + 172−184+172. (b) Difference in altitude between checkpoints 2 and 4: (−122)−1,116(-122) - 1,116(−122)−1,116.

Problem 9820

Add using a number line: Show −4+(−5)-4 + (-5)−4+(−5) with two arrows.

Problem 9821

Identify which function is continuous for all xxx in the interval (−∞,∞)(-\infty, \infty)(−∞,∞) from the given options.

Problem 9822

Calculate the average volume of pollutants from the plants: Susquehanna (0.314 L), Fall River (4.23 L), Doheny (11.81 L).

Problem 9823

Calculate the average volume of pollutants from three plants: 0.658 L, 0.512 L, and 34.47 L. Use significant digits.

Problem 9824

Calculate the average volume of pollutant from the plants: Platte (7.08 L), New Bedford (0.901 L), Doheny (3.107 L).

Problem 9825

Calculate the average volume of pollutants from three plants: 48.7 L, 0.86 L, and 0.788 L. Report with correct significant digits.

Problem 9826

Triangle ABC with vertices A(4,2), B(2,7), C(6,5) is translated. Which transformations map it to A''B''C''? Options: A, B, or C?

Problem 9827

Find the average volume of pollutant from the plants: New Bedford (0.285 L), Pitt (0.842 L), Doheny (0.75 L).

Problem 9828

A chemical engineer has pollutant volumes: Fall River: 6.109 L, Platte: 20.60 L, New Bedford: 0.214 L. Find the average volume with correct significant digits.

Problem 9829

Calculate the average volume of pollutants from three plants: Fall River (2.733 L), Cross Creek (0.5 L), Pinecrest (1.247 L).

Problem 9830

Calculate the average volume of pollutant from the plants: Susquehanna (9.208 L), Cross Creek (49.9 L), South Fork (7.68 L).

Problem 9831

Problem 9832

A chemical engineer needs to find the average pollutant volume from three plants: Lincoln (0.289 L), Susquehanna (7.27 L), and Fall River (45.9 L). What is the average volume with the correct significant digits?

Problem 9833

Calculate the average volume of pollutant from the plants: New Salem (5.629 L), New Bedford (0.429 L), South Fork (4.92 L).

Problem 9834

A chemical engineer has pollutant volumes: Allegheny: 8.49 L, Pinecrest: 1.77 L, Lincoln: 6.38 L. Find the average volume.

Problem 9835

Calculate the average volume of pollutant from these plants: Cross Creek (2.081 L), Pitt (0.20 L), Macon (0.911 L).

Problem 9836

Find the range of values of ppp such that both 3x2+2px+3=03x^{2}+2px+3=03x2+2px+3=0 and x2+4x−p=0x^{2}+4x-p=0x2+4x−p=0 have real roots.

Problem 9837

Identify the types of number for 5: rational, whole, natural, integer. Select all that apply or "only" if one is correct.

Problem 9838

A chemical engineer has pollutant volumes from plants: New Bedford (5.7 L), Pitt (0.2 L), South Fork (49.2 L). Find the average volume with correct significant digits.

Problem 9839

Fill in the blank: A natural number greater than 1 that is divisible by a number other than itself and 1 is called a/an ______ number.

Problem 9840

Calculate the average volume of pollutants from three plants: New Bedford (6.215 L), Allegheny (5.4 L), Fall River (30.2 L).

Problem 9841

Identify which functions are symmetric about the $y$ -axis: A. $y=x^{3}$ , B. $y=\sqrt{x}$ , C. $y=\frac{1}{x}$ , D. $y=|x|$ .

Graph $y=f(x)$ where $f(x)=-1$ . Find $y$ for $x=-1, 0, 1$ . What are the $y$ -coordinates?

Identify the irrational numbers from the following: a. $\sqrt{53}$ , b. $\sqrt{49}$ , c. $\sqrt{256}$ , d. $\sqrt{245}$ , e. $2-3 \sqrt{3}$ , f. $\sqrt{3} \cdot 5$ . Choose all that apply.

Find real values of $x$ for the following: a. $\sqrt{x}=6$ , b. $\sqrt{x}=-6$ , c. $\sqrt{-x}=-6$ , d. $\sqrt{x}>0$ , e. $\sqrt{-x}=6$ , f. $\sqrt{x}<0$ .

Solve the system of equations: $x + 2y - z = 2$ , $x + y + 2z = 9$ , $2x + 3y - 3z = -1$ .

What expression shows John's age in 8 years if $y$ is his current age? Options: $y+8$ , $y-8$ , $8y$ , $\frac{y}{8}$ .

Compare $6^{2}+14 \div 2$ and $100-8^{2}$ : Is it equal, greater, or less?

Compare $|-12|$ and $|8|$ . Which is true: $|-12|<|8|$ , $|-12|>|8|$ , or $|-12|=|8|$ ?

Determine the true statement for $x=-5$ : $x^{2}+10$ , $x+x+x$ are equal, or one is greater than the other.

Find the real values of $x$ for the following: a. $\sqrt{x}=6$ , b. $\sqrt{x}=-6$ , c. $\sqrt{-x}=6$ , d. $\sqrt{-x}=-6$ , e. $\sqrt{x}>0$ , f. $\sqrt{x}<0$ .

Find the corner points of the following inequalities: $3x - 2y \leq 6$ , $x + y \geq -5$ , $y \geq 4$ .

Solve the inequality: $-\frac{13}{4} < x < -\frac{5}{2}$ .

Find the temperature difference between Juneau and Boston at 6 a.m. and Boston's noon temperature after a $10^{\circ} \mathrm{F}$ rise.

Find the relationship between $x$ and $y$ if the line through points (3,6) and (6,8) represents $Y=\log y$ vs. $X=\log x$ .

Given the altitudes for five checkpoints:
1: -55, 2: -122, 3: -184, 4: 1116, 5: 2879.
(a) What is the altitude of a hill that is 172 feet above Checkpoint 3? (b) How much lower is Checkpoint 2 than Checkpoint 4?

Given the altitudes of checkpoints: 1: -55, 2: -122, 3: -184, 4: 1,116, 5: 2,879.
(a) Altitude of hill above checkpoint 3: $-184 + 172$ .
(b) Difference in altitude between checkpoints 2 and 4: $(-122) - 1,116$ .

Add using a number line: Show $-4 + (-5)$ with two arrows.

Identify which function is continuous for all $x$ in the interval $(-\infty, \infty)$ from the given options.

Find the range of values of $p$ such that both $3x^{2}+2px+3=0$ and $x^{2}+4x-p=0$ have real roots.

Define the function $f$ : $f(x) = -3x + 4$ for $x < 1$ and $f(x) = 4x - 3$ for $x \geq 1$ . Find its domain, intercepts, graph, and range.

Find the values of $x$ and $y$ that satisfy the equation $2x + 3y = 12$ for the point $(3,1)$ .

Identify the types of functions $f(x)=x^{3}+x^{2}-3 x+4$ and $g(x)=2^{x}-4$ . What do they have in common?

Define the function $f(x)$ as: $f(x)=x$ if $x<0$ and $f(x)=x^{2}$ if $x \geq 0$ . Find its domain, intercepts, graph, and range.

Graph a right triangle using points $(-2,6)$ and $(1,-2)$ . Find the distance between these points in simplest radical form.

Find the sum function $(f+g)(x)$ for $f(x)=5x+4$ if $x<2$ and $x^2+4x$ if $x \geq 2$ , and $g(x)=-3x+1$ if $x \leq 0$ and $g(x)=x-7$ if $x > 0$ .

Is 147,701 divisible by 4 or 9? Check by using $147701 \mod 4$ and $147701 \mod 9$ .

Find the values of $m$ such that $2x - 2m + (x + m)^{2} > 0$ for all real $x$ .

Identify the types of functions $f(x)=x^{3}+x^{2}-3 x+4$ and $g(x)=2^{x}-4$ . What do they have in common?

Find the slope of the line given by the equation $2x + 3y = 12$ .

Find the coordinates of the point $(x,y)$ that satisfies the equation $3x - 5y = 15$ at the point $(6,1)$ .

Find the roots of $2 x = -5 + 3 x^{2}$ and the values of $c$ for which $3 x^{2} + 5 x + c > 0$ .

Bob bought a house for \ $42,000, now worth \$67,500. Find$ m $and$ b $in$ V=m t+b $for$ 0 \leq t \leq 15$.

Identify the sequence: $11, 13, 17, 19, 23, 29, 31, 37, \ldots$ What type of numbers are these? A) Prime B) Composite C) Whole D) Natural

Determine the number of significant figures in $20.00_{3}$ .

Count the significant figures in the measurement $75.000 \mathrm{~m}$ .

Calculate the interest earned by Anjana's simple interest and Darin's compound interest on \ $3000 at$ 4.9\%$ over 5 years.

Find the value of $k$ for the function $f(x)=\left\{\begin{array}{ll}\frac{\sqrt{x+3}-\sqrt{3 x-1}}{x-2} & x \neq 2 \\ k & x=2\end{array}\right.$ to be continuous.

Report the significant digits in the calculation: $(4.3-3.7) \times 12.3=$