AnswersPre-Algebra - MA3119 A Distance LearningAddition and Subtraction Equations

Addition and Subtraction Equations Answers

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1
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Pablo created the bar model and equation after paying a $9.79 lunch bill with a $20 bill. What is the value of c, and what does it represent in this problem?

Question illustration
A
The value is $10.21, and it shows the cost of Pablo’s lunch.
B
The value is $29.79, and it shows the cost of Pablo’s lunch.
C
The value is $10.21, and it shows the change Pablo received.
D
The value is $29.79, and it shows the change Pablo received.
2
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Which of the following equations are equivalent? Select three options.

A
2 + x = 5
Option A
B
x + 1 = 4
Option B
C
9 + x = 6
Option C
D
x + (negative 4) = 7
Option D
E
Negative 5 + x = negative 2
Option E
3

A leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours. After the leak is fixed, the height of the water is 4.75 feet. The equation can be used to find x, the original height of the water in a pool. What was the original height of the water in the pool in feet?

Question illustration
A
4.5
B
5.0
C
6.5
D
7.0
4

Jalisa earned $71.25 today babysitting, which is $22.50 more than she earned babysitting yesterday. The equation can be used to represent this situation, where d is the amount Jalisa earned babysitting yesterday. Which is an equivalent equation that can be used to find the amount Jalisa earned babysitting yesterday?

Question illustration
A
71.25 minus 22.50 = d
Option A
B
71.25 + 22.50 = d
Option B
C
d + 71.25 = 22.50
Option C
D
d minus 22.50 = 71.25
Option D
5

Cedric and Insha solved the same equation using the calculations below. Cedric’s WorkInsha’s WorkWhich statement is true about their work?

Question illustration
A
Cedric is correct because he used the inverse of subtraction and added 4.5.
B
Cedric is incorrect because he should have subtracted 4.5 from both sides instead of adding.
C
Insha is correct because she added the opposite if 4.5, which is , to both sides.
Option C
D
Insha is incorrect because she did not add correctly.
Option D
6

Noam solved the equation for k using the following calculations.What error, if any, did he make?

Question illustration
A
He should have subtracted 7.6 instead of adding it.
B
He should have subtracted 10.35 from both sides.
C
He made a computation error when he added .
Option C
D
He made a computation error when he added and .
Option D
7

Kaitlyn solved the equation for x using the following calculations.What error, if any, did she make?

Question illustration
A
She should have added 5.4 to each side.
B
She should have added the inverse of 5.4 to each side.
C
She made a computational error when she subtracted 5.4 from 12.2.
D
She should have added 12.2 to each side.
8

Gamal spent $12.50 at the book store. The difference between the amount he spent at the video game store and the amount he spent at the book store was $17. The equation can be used to represent this situation, where d is the amount Gamal spent at the video game store. Which equation is an equivalent equation that can be used to find the amount Gamal spent at the video game store?

Question illustration
A
d = 17 minus 12.50
Option A
B
d = 17 + 12.50
Option B
C
d minus 12.50 = negative 17
Option C
D
d + 12.50 = 17
Option D
9

What is the solution for the equation?

Question illustration
A
a = negative StartFraction 10 over 3 EndFraction
Option A
B
a = negative 2
Option B
C
a = 2
Option C
D
a = StartFraction 10 over 3 EndFraction
Option D
10

What is the solution to the equation?

Question illustration
A
x = negative 6 and one-fourth
Option A
B
x = negative 6 and one-half
Option B
C
x = 20
Option C
D
x = 21
Option D

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