Word Problems

Problem 4001

Match each expression to its value when $x=8$ and $y=3$ : 12-y, 3x-y, 4y-10, $\frac{1}{4}xy$ . Values: 2, 6, 9, 21.

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Problem 4002

Find the density of $80 \mathrm{~g}$ of lead with dimensions $2 \mathrm{~cm} \times 3 \mathrm{~cm} \times 5 \mathrm{~cm}$ . Options: a. $2.67 \mathrm{~g} / \mathrm{cm}^{3}$ b. $0.38 \mathrm{~g} / \mathrm{cm}^{3}$ c. $30 \mathrm{~g} / \mathrm{cm}^{3}$ d. $2,400 \mathrm{~g} / \mathrm{cm}^{3}$

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Problem 4003

Nic has $\frac{1}{4}$ lb of cheese for 8 friends. How much does each friend get? (A) $\frac{1}{32}$ lb (B) 2 lb (C) $\frac{1}{8}$ lb (D) $\frac{1}{4}$ lb

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Problem 4004

Rosa bought 8 candy necklaces for her 2 friends for \$ 11.52 total. What is the cost per necklace? (A) \$ 0.72 (B) \$ 0.75 (C) \$ 0.89 (D) \$ 1.72

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Problem 4005

Find $x$ such that $y=5x+4$ is within 0.005 units of 8.

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Problem 4006

On a number line, evaluate the truth of these statements about points A (-5), B (-4), C (-2.5), and D (1.75):
1. B = -2.5, D = 1.75, and 1.75 > -2.5
2. A = -4, D = 1, and -4 < 1
3. B = -2.5, D = 1.75, and 1.75 < -2.5
4. B = 2.5, D = 1.75, and 2.5 > 1.75

See Solution

Problem 4007

Nic has $\frac{1}{4}$ lb of cheese for 8 friends. How much does each get? (A) $\frac{1}{32}$ (B) 2 (C) $\frac{1}{8}$ (D) $\frac{1}{4}$
Which expression is NOT equivalent to $6 \times 14$ ? (A) $6 \times(10+4)$ (B) $6 \times 7+6 \times 7$ (C) $6 \times 10+6 \times 4$ (D) $6 \times(10 \times 40)$

See Solution

Problem 4008

Nic has $\frac{1}{4}$ lb of cheese for 8 friends. How much does each friend get? (A) $\frac{1}{32}$ lb (B) 2 lb (C) $\frac{1}{8}$ lb (D) $\frac{1}{4}$ lb

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Problem 4009

A rectangular meeting room has an area of $46 \frac{14}{5}$ sq. yards. Find the width and the platform's fraction of the area.

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Problem 4010

A wireless store has 170 smartphone and 260 tablet preorders totaling \$1366. Find the cost of each device.

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Problem 4011

Salim walked $1 \frac{1}{3}$ miles to school and $2 \frac{1}{2}$ miles to work. What is his total distance?

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Problem 4012

Find the values of $x$ for which $y = 5x + 4$ is within 0.006 units of 6.

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Problem 4013

A stock lost $7 \frac{1}{8}$ on Monday, $1 \frac{7}{8}$ on Tuesday, and gained 13 on Wednesday. What is the net change?

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Problem 4014

Calculate $-5 + 0 + y$ for $y = 12$ . What is the result? Options: $-17$ , 7, $-7$ , 0.

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Problem 4015

Tessa starts with \$90, pays \$75, deposits \$50, then pays \$80. What's her final balance? Options: 145, 295, -115, -15.

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Problem 4016

Find the values of $x$ such that $y=5x+4$ is within 0.006 units of 6.

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Problem 4017

How to use 19 coins to make a total of 1 dollar?

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Problem 4018

A car accelerates from rest to 15 $\mathrm{m} / \mathrm{sec}$ east in 20 seconds. Find the car's acceleration.

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Problem 4019

Identify the voice in the sentence: "The dog was walked by Maria." Choices: active, passive, both, or undetermined.

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Problem 4020

Find the line equation through points $(-3,-6)$ and $(-1,-7)$ . Use slope-intercept or general form.

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Problem 4021

Find the values of $x$ for which $y=5x+2$ is within 0.008 of 6.

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Problem 4022

Find the average bonus for 6 employees at \$940, 4 at \$820, and 5 at \$1,150.

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Problem 4023

Calculate $-30 \div(6 a)$ for $a=-5$ and simplify the result.

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Problem 4024

Randi earned \$18,400, \$19,700, and \$21,600 over three years.
6. Find total earnings for three years.
7. Find average earnings per year.
8. What must she earn next year for a four-year average of \$21,000?

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Problem 4025

A car accelerates from $50 \mathrm{mph}$ to $80 \mathrm{mph}$ in 5 seconds. Find the car's acceleration.

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Problem 4026

What is the maximum daily wage for a new employee if 8 employees earn an average of \$108 and total wages can't exceed \$980?

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Problem 4027

Which problem cannot be solved?
1. 30 candies into 6 piles: $30 \div 6$
2. 6 candies into 4 piles: $6 \div 4$
3. 0 candies into 6 piles: $0 \div 6$
4. 6 candies into 0 piles: $6 \div 0$

See Solution

Problem 4028

Zhi has two laundry rooms, each 4.5 ft by 4.5 ft. What is the total area for flooring? (A) 9 sq ft (B) 18 sq ft (C) 20.25 sq ft (D) 40.50 sq ft

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Problem 4029

Model the sales of electronic devices, $S(t)$ , since 1997 and find the annual growth rate from 1997 to 2009 when sales were 438 million.

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Problem 4030

A ball rolls down a ramp for 15 seconds, starting at $1 \mathrm{~m/s}$ and ending at $7 \mathrm{~m/s}$ . Find its acceleration.

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Problem 4031

Find the domain of $\left(\frac{v}{s}\right)(x)=\frac{x^{2} \sqrt{x+6}-36 \sqrt{x+6}}{x-3}$ given $s(x)=\frac{x-3}{x^{2}-36}$ and $v(x)=\sqrt{x+6}$ .

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Problem 4032

Brianna has \$50. She buys a sweatshirt for \$22.50 and a tote bag for \$15.75. How much is left? (A) \$11.25 (B) \$11.50 (C) \$11.75 (D) \$13.25

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Problem 4033

Which phrase describes $4 \times 3 - 1$ ? (A) One minus the product of four and three (B) One less than the product of four and three (C) One less than the sum of four and three (D) Four times the difference of three and one

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Problem 4034

A dragster accelerated from 0 to $60 \mathrm{~m/s}$ in $8.0$ seconds. What was its acceleration?

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Problem 4035

A family of 8 rides together. Which ticket total is NOT possible: (A) 42 (B) 40 (C) 24 (D) 16?

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Problem 4036

Which option shows the prime factorization of 200 in exponential form? $8 \cdot 25$ $2^{3} \cdot 5^{2}$ $2^{2} \cdot 5^{2}$ $2 \cdot 10^{2}$

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Problem 4037

Randi earned \$18,400, \$19,700, and \$21,600. What are her total earnings for 3 years, average earnings, and next year's target for \$21,000 average?

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Problem 4038

Which is NOT a reasonable estimate for $673 \times 18$ ? (A) 14,000 (B) 13,500 (C) 13,000 (D) 10,000

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Problem 4039

If you sleep 6 hours daily for a year, how many days do you sleep? Express your answer as a mixed number.

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Problem 4040

Rosa has $3 \frac{3}{4}$ pounds of dough. If one loaf uses $\frac{3}{4}$ pound, how many loaves can she make?

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Problem 4041

Peter mixes $4 \frac{1}{3}$ cups of orange juice, $2 \frac{1}{3}$ cups of ginger ale, and $6 \frac{1}{2}$ cups of lemonade. Find the total cups of punch.

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Problem 4042

8. SALARY Estimate the total cost to employ an engineer ( $55,000) and a programmer ($ 52,000) for 5 years.
9. COSTUMES Each butterfly costume needs $3 \frac{3}{5}$ yards of fabric. Find total yards for 10 costumes using the Distributive Property.
10. REASONING Letisha deposits: Checking \$125, Savings \$75, College \$50; Noelle: Checking \$250, Savings \$50, College \$50. Find Letisha's total after 12 months.

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Problem 4043

Which statements about 4.8 and 0.048 are true? (A) 4.8 is 100 times 0.048, (B) 0.048 is $\frac{1}{100}$ of 4.8, (C) 4.8 is 10 times 0.048, (D) 0.048 is $\frac{1}{10}$ of 4.8, (E) 0.048 is 100 times 4.8.

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Problem 4044

Find the values of $x$ for the angles $7x+7$ and $2x+47$ that are equal because they are vertical angles.

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Problem 4045

What score does John need on his third history test to average at least $89$ with grades of $86$ and $93$ ?

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Problem 4046

Calculate the total: 1 ten dollar bill + 3 one dollar bills + 5 nickels + 10 pennies = $$.

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Problem 4047

The place value of the 8 in $6.857$ is what? Options: tenths, tens, ones, hundredths.

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Problem 4048

Identify the value that is not equal to 0.775 or $\frac{3}{8}$ : $\frac{31}{40}$ , 0.375, $\frac{6}{16}$ , 0.83.

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Problem 4049

Calculate the slope of the line through the points $(-3,5)$ and $(4,9)$ .

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Problem 4050

Let $\mathrm{x}$ be the unknown. Write and solve the equation: $\mathrm{x} + 5 = -30$ .

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Problem 4051

Thaddeus needs \$180 for a camp. He earned \$58.35 raking leaves and \$82.80 shoveling snow. How much more does he need?

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Problem 4052

How many $12.5 \mathrm{mg}$ tablets of Benadryl are taken in a week if the dose is $25 \mathrm{mg}$ every 6 hours?

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Problem 4053

Find the consecutive integers for the cube roots: $\sqrt[3]{21}$ , $\sqrt[3]{-89}$ , $\sqrt[3]{150}$ .

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Problem 4054

Find $x$ so that the slope between $(x, 3)$ and $(5, 9)$ equals a given value.

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Problem 4055

Find $x$ so that the line through $(x, 3)$ and $(5, 9)$ has a horizontal slope.

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Problem 4056

Find $x$ for the line through $(x, 3)$ and $(5, 9)$ with slope 2.

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Problem 4057

What is the symbol for the empty set and its cardinality?

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Problem 4058

Are sets $A$ (months of the year) and $B$ (first 12 letters of the alphabet) equal, equivalent, or neither?

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Problem 4059

Find how many inches are in 150 miles using the ratio $\frac{1 \text { inch }}{25 \text { miles }}$ .

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Problem 4060

Find the unknown inches in the proportion $\frac{1 \text{ inch}}{25 \text{ miles}}=\frac{\text{inches}}{62.5 \text{ miles}}$ .

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Problem 4061

Find the height of a tree stump modeled as a cylinder with radius 37 in and volume 77415 in³. Round to the nearest tenth.

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Problem 4062

Find the height of a tree stump modeled as a cylinder with radius 37 in and volume 77415 in³. Round to the nearest tenth.

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Problem 4063

Find the height of a water tank (rectangular prism) with volume 136 ft³, length 8.1 ft, width 4.1 ft.

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Problem 4064

Find the volume of aluminum in a hollow post shaped like a prism with dimensions $11 \mathrm{~cm} \times 10 \mathrm{~cm} \times 30 \mathrm{~cm}$ and $1.75 \mathrm{~cm}$ thick. Round to the nearest hundredth.

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Problem 4065

Find $x$ for the line through $(-8,-2)$ and $(x, 2)$ with a slope of $3$ .

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Problem 4066

Autumn spends \ $34.14 total, \$5.76 on eggs, and buys 6 identical bags of apples. Find$ x$, the cost per bag of apples.

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Problem 4067

Find the volume of a wooden post (dimensions $8 \mathrm{~cm} \times 5 \mathrm{~cm} \times 22 \mathrm{~cm}$ ) after drilling a hole (diameter $4 \mathrm{~cm}$ ). Round to the nearest tenth.

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Problem 4068

Bentley rides 39.6 miles total, has done 8 miles, and rides for 4 more days. Find $x$ for daily miles needed: $8 + 4x = 39.6$ .

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Problem 4069

Determine the point-slope form equation of the line through $(1,4)$ with a slope of $2$ .

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Problem 4070

Multiply 16, 3, and 29, then subtract 17 from the result. What is the final answer?

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Problem 4071

Determine the equation of the line through points $(1,-3)$ and $(5,-3)$ .

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Problem 4072

Multiply 71 by 8, then add 379. What is the result?

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Problem 4073

Serenity pays \ $36 monthly plus \$4 per GB. Find$ x $(GB) if her total bill is \$51.60. Solve the equation:$ 36 + 4x = 51.60$.

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Problem 4074

Subtract the following: 9 tenths - 3 tenths = tenths 9 ones 2 thousandths - 3 ones = ones thousandths 4 hundreds 6 hundredths - 3 hundredths = hundreds hundredths hundredths

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Problem 4075

Evaluate the expression $6^{2}+10 \div(-5)(3)-5$ using order of operations. What to do first?

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Problem 4076

Alejandro studied for 5 more minutes each day for 6 days. What is the change in study time from day 1 to day 6? -30 minutes -11 minutes 11 minutes 30 minutes

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Problem 4077

Find $x$ where $15x = 25 + 12.5x$ to equalize costs at Dance World and Toe Tappers. Options: 10, 15, 100, 150.

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Problem 4078

The sixth-grade chorus has a boy-to-girl ratio of $3:8$ . Find the number of boys and girls for 11 members last year and 33 this year.

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Problem 4079

Find the average monthly snowfall in King Salmon, Alaska, given an annual snowfall of 45.9 inches over 7 months.

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Problem 4080

Find the number of boys and girls in a chorus with a $3:8$ ratio, with totals of 11 last year and 33 this year.

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Problem 4081

Find the zeros of $f(x) = x^2 - 150$ using the square root method. What are the x-intercepts?

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Problem 4082

(a) What is the most common year of birth reported by the football team? Mean, Median, or Mode? (b) For the data set 28,29,31,32,33,34,35,36,39, which measure summarizes it best? Mean, Median, or Mode? (c) For the ratings 40,41,44,46,48,50,51,52,87, which measure summarizes it best? Mean, Median, or Mode?

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Problem 4083

How many times heavier is an anaconda weighing $8,643.2$ ounces than a common rat that weighs $11.8$ ounces?

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Problem 4084

Find the polynomial function $f$ with roots at $x=4i$ and $x=-7+\sqrt{2}$ .

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Problem 4085

Calculate the value of $\frac{-8(17-12)}{-2(8-(-2))}$ . Options: -4, -2, 2, 4.

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Problem 4086

Rudy's Tacos sold 22 dinner specials last month. This month, they sold $250\%$ of that. How many did they sell?

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Problem 4087

Find the complex zeros of $f(x)=-2x^{2}+8x+40$ and graph it, labeling the intercepts.

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Problem 4088

What number can multiply the equation to remove decimals? $-m + 0.02 + 2.1m = -1.45 - 4.81m$ Options: 0.01, 0.1, 10, 100

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Problem 4089

Average monthly snowfall in King Salmon, Alaska, is $45.9 \text{ inches} \div 7 \text{ months}$ . Why is this reasonable?

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Problem 4090

Compare the cost graphs of a prepaid plan at \ $0.20/min and a contracted plan at \$50/month + \$0.02/min for$ x$ minutes.

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Problem 4091

Find the complex zeros of $f(x)=-2x^2+8x+19$ and graph the function with labeled intercepts. $x=$

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Problem 4092

Which expression equals the sum of $-15 + 6$ ?

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Problem 4093

Find the complex zeros of $f(x)=-2 x^{2}+16 x-23$ and graph it, labeling the intercepts. Express zeros as $a + bi$ .

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Problem 4094

A boys' basketball team has a seniors to juniors ratio of $7:4$ . What is the seniors to total ratio? Girls' team has $3:2$ ratio with 12 juniors; which team has more seniors?

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Problem 4095

Jonathan's computer repair cost \ $336, with \$141 for parts. If labor is \$x per hour for 3 hours, find$ x$.

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Problem 4096

Find the complex zeros of $f(x)=-2x^2+16x-23$ and graph the function, labeling the intercepts.

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Problem 4097

Convert the decimal number $40.38$ into Degrees, Minutes, and Seconds (DMS) format.

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Problem 4098

Jon drove 320 miles to his parents' house. His speed was 9 mph faster going than returning. Total driving time was 16 hours. Find both speeds in $\mathrm{mph}$ .

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Problem 4099

Find $x$ and the length of $PQ$ given $PQ=2x+1$ and $QR=5x-44$ , with $Q$ as the midpoint of $\overline{PR}$ .

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Problem 4100

Find point $B$ on line segment $\overline{AC}$ where $AB$ is 5 times $BC$ . $A=(-7,5)$ , $C=(5,-1)$ .

See Solution

1 ...38 39 40 41 42 43 44 ...101

Word Problems

Problem 4001

Match each expression to its value when x=8x=8x=8 and y=3y=3y=3: 12-y, 3x-y, 4y-10, 14xy\frac{1}{4}xy41​xy. Values: 2, 6, 9, 21.

Problem 4002

Problem 4003

Nic has 14\frac{1}{4}41​ lb of cheese for 8 friends. How much does each friend get? (A) 132\frac{1}{32}321​ lb (B) 2 lb (C) 18\frac{1}{8}81​ lb (D) 14\frac{1}{4}41​ lb

Problem 4004

Rosa bought 8 candy necklaces for her 2 friends for \$ 11.52 total. What is the cost per necklace? (A) \$ 0.72 (B) \$ 0.75 (C) \$ 0.89 (D) \$ 1.72

Problem 4005

Find xxx such that y=5x+4y=5x+4y=5x+4 is within 0.005 units of 8.

Problem 4006

On a number line, evaluate the truth of these statements about points A (-5), B (-4), C (-2.5), and D (1.75):1. B = -2.5, D = 1.75, and 1.75 > -2.52. A = -4, D = 1, and -4 < 13. B = -2.5, D = 1.75, and 1.75 < -2.54. B = 2.5, D = 1.75, and 2.5 > 1.75

Problem 4007

Problem 4008

Nic has 14\frac{1}{4}41​ lb of cheese for 8 friends. How much does each friend get? (A) 132\frac{1}{32}321​ lb (B) 2 lb (C) 18\frac{1}{8}81​ lb (D) 14\frac{1}{4}41​ lb

Problem 4009

A rectangular meeting room has an area of 4614546 \frac{14}{5}46514​ sq. yards. Find the width and the platform's fraction of the area.

Problem 4010

A wireless store has 170 smartphone and 260 tablet preorders totaling \$1366. Find the cost of each device.

Problem 4011

Salim walked 1131 \frac{1}{3}131​ miles to school and 2122 \frac{1}{2}221​ miles to work. What is his total distance?

Problem 4012

Find the values of xxx for which y=5x+4y = 5x + 4y=5x+4 is within 0.006 units of 6.

Problem 4013

A stock lost 7187 \frac{1}{8}781​ on Monday, 1781 \frac{7}{8}187​ on Tuesday, and gained 13 on Wednesday. What is the net change?

Problem 4014

Calculate −5+0+y-5 + 0 + y−5+0+y for y=12y = 12y=12. What is the result? Options: −17-17−17, 7, −7-7−7, 0.

Problem 4015

Tessa starts with \$90, pays \$75, deposits \$50, then pays \$80. What's her final balance? Options: 145, 295, -115, -15.

Problem 4016

Find the values of xxx such that y=5x+4y=5x+4y=5x+4 is within 0.006 units of 6.

Problem 4017

How to use 19 coins to make a total of 1 dollar?

Problem 4018

A car accelerates from rest to 15 m/sec\mathrm{m} / \mathrm{sec}m/sec east in 20 seconds. Find the car's acceleration.

Problem 4019

Identify the voice in the sentence: "The dog was walked by Maria." Choices: active, passive, both, or undetermined.

Problem 4020

Find the line equation through points (−3,−6)(-3,-6)(−3,−6) and (−1,−7)(-1,-7)(−1,−7). Use slope-intercept or general form.

Problem 4021

Find the values of xxx for which y=5x+2y=5x+2y=5x+2 is within 0.008 of 6.

Problem 4022

Find the average bonus for 6 employees at \$940, 4 at \$820, and 5 at \$1,150.

Problem 4023

Calculate −30÷(6a)-30 \div(6 a)−30÷(6a) for a=−5a=-5a=−5 and simplify the result.

Problem 4024

Randi earned \$18,400, \$19,700, and \$21,600 over three years. 6. Find total earnings for three years. 7. Find average earnings per year. 8. What must she earn next year for a four-year average of \$21,000?

Problem 4025

A car accelerates from 50mph50 \mathrm{mph}50mph to 80mph80 \mathrm{mph}80mph in 5 seconds. Find the car's acceleration.

Problem 4026

What is the maximum daily wage for a new employee if 8 employees earn an average of \$108 and total wages can't exceed \$980?

Problem 4027

Which problem cannot be solved? 1. 30 candies into 6 piles: 30÷630 \div 630÷6 2. 6 candies into 4 piles: 6÷46 \div 46÷4 3. 0 candies into 6 piles: 0÷60 \div 60÷6 4. 6 candies into 0 piles: 6÷06 \div 06÷0

Problem 4028

Zhi has two laundry rooms, each 4.5 ft by 4.5 ft. What is the total area for flooring? (A) 9 sq ft (B) 18 sq ft (C) 20.25 sq ft (D) 40.50 sq ft

Problem 4029

Model the sales of electronic devices, S(t)S(t)S(t), since 1997 and find the annual growth rate from 1997 to 2009 when sales were 438 million.

Problem 4030

A ball rolls down a ramp for 15 seconds, starting at 1 m/s1 \mathrm{~m/s}1 m/s and ending at 7 m/s7 \mathrm{~m/s}7 m/s. Find its acceleration.

Problem 4031

Find the domain of (vs)(x)=x2x+6−36x+6x−3\left(\frac{v}{s}\right)(x)=\frac{x^{2} \sqrt{x+6}-36 \sqrt{x+6}}{x-3}(sv​)(x)=x−3x2x+6​−36x+6​​ given s(x)=x−3x2−36s(x)=\frac{x-3}{x^{2}-36}s(x)=x2−36x−3​ and v(x)=x+6v(x)=\sqrt{x+6}v(x)=x+6​.

Problem 4032

Brianna has \$50. She buys a sweatshirt for \$22.50 and a tote bag for \$15.75. How much is left? (A) \$11.25 (B) \$11.50 (C) \$11.75 (D) \$13.25

Problem 4033

Which phrase describes 4×3−14 \times 3 - 14×3−1? (A) One minus the product of four and three (B) One less than the product of four and three (C) One less than the sum of four and three (D) Four times the difference of three and one

Problem 4034

A dragster accelerated from 0 to 60 m/s60 \mathrm{~m/s}60 m/s in 8.08.08.0 seconds. What was its acceleration?

Problem 4035

A family of 8 rides together. Which ticket total is NOT possible: (A) 42 (B) 40 (C) 24 (D) 16?

Problem 4036

Which option shows the prime factorization of 200 in exponential form? 8⋅258 \cdot 258⋅25 23⋅522^{3} \cdot 5^{2}23⋅52 22⋅522^{2} \cdot 5^{2}22⋅52 2⋅1022 \cdot 10^{2}2⋅102

Problem 4037

Randi earned \$18,400, \$19,700, and \$21,600. What are her total earnings for 3 years, average earnings, and next year's target for \$21,000 average?

Problem 4038

Which is NOT a reasonable estimate for 673×18673 \times 18673×18? (A) 14,000 (B) 13,500 (C) 13,000 (D) 10,000

Problem 4039

If you sleep 6 hours daily for a year, how many days do you sleep? Express your answer as a mixed number.

Problem 4040

Rosa has 3343 \frac{3}{4}343​ pounds of dough. If one loaf uses 34\frac{3}{4}43​ pound, how many loaves can she make?

Problem 4041

Match each expression to its value when $x=8$ and $y=3$ : 12-y, 3x-y, 4y-10, $\frac{1}{4}xy$ . Values: 2, 6, 9, 21.

Nic has $\frac{1}{4}$ lb of cheese for 8 friends. How much does each friend get? (A) $\frac{1}{32}$ lb (B) 2 lb (C) $\frac{1}{8}$ lb (D) $\frac{1}{4}$ lb

Find $x$ such that $y=5x+4$ is within 0.005 units of 8.

On a number line, evaluate the truth of these statements about points A (-5), B (-4), C (-2.5), and D (1.75):
1. B = -2.5, D = 1.75, and 1.75 > -2.5
2. A = -4, D = 1, and -4 < 1
3. B = -2.5, D = 1.75, and 1.75 < -2.5
4. B = 2.5, D = 1.75, and 2.5 > 1.75

Nic has $\frac{1}{4}$ lb of cheese for 8 friends. How much does each friend get? (A) $\frac{1}{32}$ lb (B) 2 lb (C) $\frac{1}{8}$ lb (D) $\frac{1}{4}$ lb

A rectangular meeting room has an area of $46 \frac{14}{5}$ sq. yards. Find the width and the platform's fraction of the area.

Salim walked $1 \frac{1}{3}$ miles to school and $2 \frac{1}{2}$ miles to work. What is his total distance?

Find the values of $x$ for which $y = 5x + 4$ is within 0.006 units of 6.

A stock lost $7 \frac{1}{8}$ on Monday, $1 \frac{7}{8}$ on Tuesday, and gained 13 on Wednesday. What is the net change?

Calculate $-5 + 0 + y$ for $y = 12$ . What is the result? Options: $-17$ , 7, $-7$ , 0.

Find the values of $x$ such that $y=5x+4$ is within 0.006 units of 6.

A car accelerates from rest to 15 $\mathrm{m} / \mathrm{sec}$ east in 20 seconds. Find the car's acceleration.

Find the line equation through points $(-3,-6)$ and $(-1,-7)$ . Use slope-intercept or general form.

Find the values of $x$ for which $y=5x+2$ is within 0.008 of 6.

Calculate $-30 \div(6 a)$ for $a=-5$ and simplify the result.

Randi earned \$18,400, \$19,700, and \$21,600 over three years.
6. Find total earnings for three years.
7. Find average earnings per year.
8. What must she earn next year for a four-year average of \$21,000?

A car accelerates from $50 \mathrm{mph}$ to $80 \mathrm{mph}$ in 5 seconds. Find the car's acceleration.

Which problem cannot be solved?
1. 30 candies into 6 piles: $30 \div 6$
2. 6 candies into 4 piles: $6 \div 4$
3. 0 candies into 6 piles: $0 \div 6$
4. 6 candies into 0 piles: $6 \div 0$

Model the sales of electronic devices, $S(t)$ , since 1997 and find the annual growth rate from 1997 to 2009 when sales were 438 million.

A ball rolls down a ramp for 15 seconds, starting at $1 \mathrm{~m/s}$ and ending at $7 \mathrm{~m/s}$ . Find its acceleration.

Find the domain of $\left(\frac{v}{s}\right)(x)=\frac{x^{2} \sqrt{x+6}-36 \sqrt{x+6}}{x-3}$ given $s(x)=\frac{x-3}{x^{2}-36}$ and $v(x)=\sqrt{x+6}$ .

Which phrase describes $4 \times 3 - 1$ ? (A) One minus the product of four and three (B) One less than the product of four and three (C) One less than the sum of four and three (D) Four times the difference of three and one

A dragster accelerated from 0 to $60 \mathrm{~m/s}$ in $8.0$ seconds. What was its acceleration?

Which option shows the prime factorization of 200 in exponential form? $8 \cdot 25$ $2^{3} \cdot 5^{2}$ $2^{2} \cdot 5^{2}$ $2 \cdot 10^{2}$

Which is NOT a reasonable estimate for $673 \times 18$ ? (A) 14,000 (B) 13,500 (C) 13,000 (D) 10,000

Rosa has $3 \frac{3}{4}$ pounds of dough. If one loaf uses $\frac{3}{4}$ pound, how many loaves can she make?

Peter mixes $4 \frac{1}{3}$ cups of orange juice, $2 \frac{1}{3}$ cups of ginger ale, and $6 \frac{1}{2}$ cups of lemonade. Find the total cups of punch.

Which statements about 4.8 and 0.048 are true? (A) 4.8 is 100 times 0.048, (B) 0.048 is $\frac{1}{100}$ of 4.8, (C) 4.8 is 10 times 0.048, (D) 0.048 is $\frac{1}{10}$ of 4.8, (E) 0.048 is 100 times 4.8.

Find the values of $x$ for the angles $7x+7$ and $2x+47$ that are equal because they are vertical angles.

What score does John need on his third history test to average at least $89$ with grades of $86$ and $93$ ?

The place value of the 8 in $6.857$ is what? Options: tenths, tens, ones, hundredths.

Identify the value that is not equal to 0.775 or $\frac{3}{8}$ : $\frac{31}{40}$ , 0.375, $\frac{6}{16}$ , 0.83.

Calculate the slope of the line through the points $(-3,5)$ and $(4,9)$ .

Let $\mathrm{x}$ be the unknown. Write and solve the equation: $\mathrm{x} + 5 = -30$ .

How many $12.5 \mathrm{mg}$ tablets of Benadryl are taken in a week if the dose is $25 \mathrm{mg}$ every 6 hours?

Find the consecutive integers for the cube roots: $\sqrt[3]{21}$ , $\sqrt[3]{-89}$ , $\sqrt[3]{150}$ .

Find $x$ so that the slope between $(x, 3)$ and $(5, 9)$ equals a given value.

Find $x$ so that the line through $(x, 3)$ and $(5, 9)$ has a horizontal slope.

Find $x$ for the line through $(x, 3)$ and $(5, 9)$ with slope 2.

Are sets $A$ (months of the year) and $B$ (first 12 letters of the alphabet) equal, equivalent, or neither?

Find how many inches are in 150 miles using the ratio $\frac{1 \text { inch }}{25 \text { miles }}$ .

Find the unknown inches in the proportion $\frac{1 \text{ inch}}{25 \text{ miles}}=\frac{\text{inches}}{62.5 \text{ miles}}$ .

Find the volume of aluminum in a hollow post shaped like a prism with dimensions $11 \mathrm{~cm} \times 10 \mathrm{~cm} \times 30 \mathrm{~cm}$ and $1.75 \mathrm{~cm}$ thick. Round to the nearest hundredth.

Find $x$ for the line through $(-8,-2)$ and $(x, 2)$ with a slope of $3$ .

Autumn spends \ $34.14 total, \$5.76 on eggs, and buys 6 identical bags of apples. Find$ x$, the cost per bag of apples.

Find the volume of a wooden post (dimensions $8 \mathrm{~cm} \times 5 \mathrm{~cm} \times 22 \mathrm{~cm}$ ) after drilling a hole (diameter $4 \mathrm{~cm}$ ). Round to the nearest tenth.

Bentley rides 39.6 miles total, has done 8 miles, and rides for 4 more days. Find $x$ for daily miles needed: $8 + 4x = 39.6$ .

Determine the point-slope form equation of the line through $(1,4)$ with a slope of $2$ .

Determine the equation of the line through points $(1,-3)$ and $(5,-3)$ .

Serenity pays \ $36 monthly plus \$4 per GB. Find$ x $(GB) if her total bill is \$51.60. Solve the equation:$ 36 + 4x = 51.60$.