AnswersPre-Algebra - MA3119 A Distance LearningAddition and Subtraction Equations

Addition and Subtraction Equations Answers

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1
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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
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

Emma buys yards of blue fabric and some yellow fabric at a store. She buys a total of yards of fabric. The equation can be used to represent this situation, where y is the number of yards of yellow fabric she buys. How much yellow fabric does she buy?

Question illustration
A
yards
Option A
B
yards
Option B
C
8 yards
D
9 yards
4

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.
5

How can be solved for x in one step?

Question illustration
A
Add 3.7 to both sides.
B
Add 5 to both sides.
C
Subtract 3.7 from both sides
D
Subtract 5 from both sides
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

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.
8

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
9

Kala bought two types of cheese at a deli. She bought 0.50 pound of American cheese and 1.25 pounds of Swiss cheese. The bar diagram and equation below represent Kala’s purchase, where p represents the total number of pounds of cheese she bought. What is the total number of pounds of cheese Kala bought?

Question illustration
A
0.75
B
1.20
C
1.30
D
1.75
10

There are two routes Lucas can take to walk to school. Route A is miles and is mile longer than route B. The equation can be used to represent this situation, where b is the length of route B. How many miles will Lucas walk if he takes route B?

Question illustration
A
miles
Option A
B
miles
Option B
C
miles
Option C
D
miles
Option D

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