AnswersTX-College Prep Math BUnit Test

Modeling Real-World Problems with One-Step Equations Answers

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1
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What are the steps, in the correct order, to write and solve an equation?

A
1. Write an equation. 2. Identify the variable. 3. Identify the operation. 4. Solve the equation.5. Check the solution.
B
1. Write an equation.2. Solve the equation.3. Check the solution.
C
1. Identify the variable. 2. Write an equation.3. Solve the equation.
D
1. Identify the variable.2. Identify the operation.3. Write an equation.4. Solve the equation.5. Check the solution.
2
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The cost of 5 pounds of apples is $6.45. Which statements can be used to solve for a, the cost of each pound of apples? Check all that apply.

A
To solve, find the cost of 1 pound of apples; write a multiplication equation.
B
To solve, find the cost of 1 pound of apples; write an addition equation.
C
The correct equation for this problem is . Solve this problem by dividing both sides by 5.
Option C
D
The correct equation for this problem is . Solve this problem by multiplying both sides by 5.
Option D
E
Each pound of apples costs $1.28.
F
Each pound of apples costs $1.29.
3

Steve biked 8.4 miles, which was 1.8 miles fewer than Rhonda biked. He wants to write and solve an equation to find r, the number of miles that Rhonda biked. Which are part of the solution? Check all that apply.

A
To solve, find the total distance that Steve and Rhonda biked; this is an addition problem.
B
To solve, find the difference that Steve and Rhonda biked; this is a subtraction problem.
C
To solve, find out how many times more miles that Rhonda rode for; this is a multiplication problem.
D
Rhonda rode for 10.2 miles.
E
The correct equation for this problem is . Solve the problem by adding 1.8 to both sides.
Option E
4

Olaf needs a total of 3 cups of sugar to make 4 cakes. Write and solve an equation to find the number of cups of sugar he needs for each cake. Which number line shows the number of cups of sugar Olaf needs for each cake?

A
A number line going from negative 1.5 to positive 1.5. A point is at positive 0.75.
Option A
B
A number line going from negative 1.5 to positive 1.5. A point is at positive 1.
Option B
C
A number line going from negative 1.5 to positive 1.5. A point is at positive 1.30.
Option C
D
A number line going from negative 1.5 to positive 1.5. A point is at positive 1.5.
Option D
5

Sami cut inches off a long roll of paper. If the roll is now inches long, how long was the original roll of paper? Write an equation and solve it to find the answer.

Question illustration
A
inches
Option A
B
inches
Option B
C
inches
Option C
D
inches
Option D
6

Malia has saved $18.50 to buy a hamster cage that costs $30. Which equation can she use to find s, the additional amount she needs to save?

A
18 dollars and 50 cents + s = 30 dollars
Option A
B
s minus 18 dollars and 50 cents = 30 dollars
Option B
C
18 dollars and 50 cents s = 30 dollars
Option C
D
StartFraction s Over 18 dollars and 50 cents EndFraction = 30 dollars
Option D
7

Don was asked to write an equation and solve this problem. A group of eight friends bought tickets to an amusement park and spent $134 total. How much did each ticket cost?Don’s work is shown below. StepsDon’s WorkStep 1Step 2Step 3 In which step, if any, did Don first make a mistake in his work?

Question illustration
A
step 1
B
step 2
C
step 3
D
no mistake
8

Jan and two of her friends raised money by having a bake sale. They split the proceeds. If each person received $32.19, how much money did the girls earn in total at their bake sale? Write an equation and solve it to find the answer.

A
$10.73
B
$29.19
C
$96.37
D
$96.57
9

Morgan needs to earn $16.31 more to have $40.00. Four students wrote and solved equations to find m, the amount of money that Morgan has now. Which student wrote and solved the equation correctly?

A
Sid’s work:
Option A
B
Sora’s work:
Option B
C
Matt’s work:
Option C
D
Zyad’s work:
Option D
10

Clara bought 16 cases of water bottles. There were 12 water bottles in each case. Four students wrote and solved equations to find b, the number of bottles that Clara bought. Which student wrote and solved the equation correctly?

A
Maya’s work:
Option A
B
Larissa’s work:
Option B
C
Sally’s work:
Option C
D
Anika’s work:
Option D
11

Stan ran miles, which was fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?

Question illustration
A
Molly’s work:
Option A
B
Emma’s work:
Option B
C
Alysa’s work:
Option C
D
Maddie’s work:
Option D
12

Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.

Question illustration
A
$49.75
B
$74.75
C
$156
D
$1196
13

Lindsay has saved $134.75 to buy a tablet. How much more money does she need to save before she can buy the tablet? Write an equation and solve it by using the information in the table.

Question illustration
A
$1.48
B
$64.25
C
$164.25
D
$333.75
14

Tomas used cups of flour and now has cups left. Which equation can he use to find f, the number of cups of flour he had to begin with?

Question illustration
A
f + 3 and one-third = 1 and two-thirds
Option A
B
f minus 3 and one-third = 1 and two-thirds
Option B
C
3 and one-third f = 1 and two-thirds
Option C
D
f divided by 3 and one-third = 1 and two-thirds
Option D

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