Chapter 1 Word Problem Review

Chapter 1 Word Problem Review

Look at the example word problems. Then, practice the examples on your own.

Multiple Choice

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the price to ride 10 rides?

• 35

• 21.5

• 30

• 30.50

Multiple Choice

A man is climbing down from 100 feet high descending 30 feet per minute.

• y = - 30x + 100

• y = 100 + 30x

• y = 100x + 30

• y = 100x - 30

Multiple Choice

Bob has $150 in his savings account and saves $40 per month.  Which equation represents the amount Bob has in his account after x months?

• y = 150 + 40
• y = 40x + 150
• y = 150x + 40

Multiple Choice

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x
• y=15x+80
• y=x+15
• y=80x+15

Multiple Choice

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

• y = 8x + 50

• C = 50m +8

• y = 50x + 8

• C = 8m + 50

Literal Equations! (Solve for a specific variable)

Multiple Choice

Solve for B:
A = 2/3(B + 5)

• B = 2/3A + 5
• B = 2/3A - 5
• B = 3/2A + 5
• B = 3/2A - 5

Multiple Choice

Solve for h:
$SA\ =\ 2\pi r^2+2\pi rh$

• $\frac{SA}{2\pi r^2+2\pi r}=h$

• $\ \frac{SA-2\pi r}{2\pi r^2}=h$

• $\frac{SA-2\pi r^2}{2\pi r}=h$

• $SA\ -\ \frac{2\pi r^2}{2\pi r}=\ h$

Multiple Choice

• h=V/(3πr²)
• h=(3V)/(πr²)
• h=V/(3πr²)
• h=(3π)/(Vr²)

Multiple Choice

Solve for x:

• x = yb - v
• x = by - v
• x = by + v

Multiple Choice

Solving the formula P = 2L + 2W for W is not equivalent to which equation?

• (P-2L)/2 = W
• (P/2) - (2L/2) = W
• (1/2)P - L = W
• P - (1/2)L = W

Multiple Choice

8x + 4y= 16

• y = -8x + 16
• y = 2x -4
• y = -2x + 4
• y = -8x + 12

Multiple Choice

S = 3F - 24 Solve for F

• F = (S + 24)/3

• F = S/3 + 24

• F = 3S + 24

• F = 3(S + 24)

Absolute Value Word Problems

Multiple Choice

Your have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have 50 dollars give or take 15. Write an absolute value equation to model this situation.

• |x-50|=15
• |x+15|=50
• |50+x|=15
• No Solution

Multiple Choice

Sam's house is 14 blocks from the school. Emily lives 6 blocks from Sam. Which equation represents the location of Emily's house in relation to the school?

• |x + 6| = 10
• |x – 6| = 14
• |x – 14| = 6
• |x + 14| = 6

Multiple Choice

Harvey and Dona want to test the range of the walkie-talkies they have. They start at Harvey's house and walk away from each other. Harvey goes to the store 4 miles away to the East and Dona goes to the park 5 miles West. How far apart are the walkie-talkies?

• 9 miles
• 1 mile
• -9 miles
• -1 mile

Multiple Choice

A submarine is 150 below sea level while an airplane is 375 above sea level.  What is the difference between the height of the submarine and the airplane?

• -525
• 525
• 325
• -325

Inequality World Problem

Multiple Choice

Ann wants to spend at most $8.50 on school supplies. She needs to purchase a binder (costs $6.89) and wants to spend the rest on pens, which cost $0.59 each. Which inequality represents this situation, where x is the number of pens Ann can buy?

•  $6.89+8.50x\le0.59$  

•  $8.50+0.59x\le6.89$  

•  $0.59+6.89x\le8.50$  

•  $6.89+0.59x\le8.50$  

Multiple Choice

Ann wants to spend at most $8.50 on school supplies. She needs to purchase a binder (costs $6.89) and wants to spend the rest on pens, which cost $0.59 each. What is the greatest amount of pens can Ann buy?

• 3

• 2.7

• 2

• 1.15

Multiple Choice

Jo needs to collect at least 1,000 signatures for a petition. He has 520 and wants to collect the same number each week. He has 6 more weeks. Which inequality represents this situation?

•  $520x+6\le1000$  

•  $520+6x\ge1000$  

•  $520x+6\ge1000$  

•  $520+6x\le1000$  

Multiple Choice

Jo needs to collect at least 1,000 signatures for a petition. He has 520 and wants to collect the same number each week. He has 6 more weeks. Which solution represents how many signatures Jo needs each week?

• $x\ge80$

• $x\ge2$

• $x\le80$

• $x\le2$

Multiple Choice

| 2x + 12 | < 8

Which is the correct first step?

• 2x + 12 < 8 and 2x+12 >-8

• 2x + 12 < 8 or 2x+12 >-8

• 2x + 12 < 8 and 2x+12 <-8

• 2x + 12 < 8 or 2x+12 >-8

Multiple Choice

Which compound inequality involves <, ≤ when solving absolute value inequalities?

• and

• or

Multiple Choice

John is looking for a job after graduation. The salary which he is satisfied with must be $3000 with a tolerance of $500. Which of the following inequalities can be used to assess which if his salary is tolerable? (m is the measure of the salary)

• |m - 500| ≤ 3000

• |m - 500| ≥ 3000

• |m - 3000| ≥ 500

• |m - 3000| ≤ 500

Multiple Choice

The radius of the gears produced at a factory must be 6 inches in length with a tolerance of 0.1 inches. The gears with radius beyond the tolerated lengths will be thrown away. Which of the following inequalities can be used to assess which gears are eligible? (x is the length of the radius)

• |x – 6| ≤ 0.1
• |x – 6| ≥ 0.1
• |x – 0.1| ≤ 6
• |x – 0.1| ≥ 6

Multiple Choice

The street built in the city must be 25 feet in width with a tolerance of 0.5 feet. Streets that are not within the tolerated widths must be repaired. Which of the following inequalities can be used to assess which streets are within tolerance? (W is the width of the street) .

• |W - 25| ≤ .5
• |W - .5| ≤ 25
• |W - 25| ≥ .5
• |W - .5| ≥ 25

Multiple Choice

The radius of the gears produced at a factory must be 6 inches in length with a tolerance of 0.1 inches. The gears with radius beyond the tolerated lengths will be thrown away. Which of the following inequalities can be used to assess which gears are eligible? (x is the length of the radius)

• |x – 6| ≤ 0.1
• |x – 6| ≥ 0.1
• |x – 0.1| ≤ 6
• |x – 0.1| ≥ 6