# Combining Like Terms & One-step Equations Assessment

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| By Robin Teliczan
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Robin Teliczan
Community Contributor
Quizzes Created: 2 | Total Attempts: 744
Questions: 10 | Attempts: 126

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• 1.

### Solve: x + 8 = 15

• A.

X = 7

• B.

X = -7

• C.

X = 23

• D.

X = -23

A. X = 7
Explanation
To solve the equation x + 8 = 15, we need to isolate the variable x. We can do this by subtracting 8 from both sides of the equation. This gives us x = 7, which means that the value of x that satisfies the equation is 7.

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• 2.

### Solve: y - 3 = -5

• A.

Y = 8

• B.

Y = -8

• C.

Y = 2

• D.

Y = -2

D. Y = -2
Explanation
The correct answer is y = -2 because when we solve the equation y - 3 = -5, we can isolate y by adding 3 to both sides of the equation. This gives us y = -2, which means that the value of y that satisfies the equation is -2.

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• 3.

### Solve: -2x = 88

• A.

X = 44

• B.

X = -44

• C.

X = 86

• D.

X = 90

B. X = -44
Explanation
To solve the equation -2x = 88, we need to isolate x. We can do this by dividing both sides of the equation by -2. Dividing 88 by -2 gives us -44. Therefore, x = -44 is the correct answer.

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• 4.

### Solve: r/5 = -9

• A.

R = -14

• B.

R = -4

• C.

R = -45

• D.

R = 45

C. R = -45
Explanation
The given equation is r/5 = -9. To solve for r, we can multiply both sides of the equation by 5 to isolate r. This gives us r = -45.

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• 5.

### Simplify: 3x + 4 - 8x

• A.

-5x + 4

• B.

11x + 4

• C.

15x

• D.

-x

A. -5x + 4
Explanation
The given expression is a simplification problem. To simplify, we combine like terms by adding or subtracting the coefficients of the same variable. In this case, we have 3x and -8x. When we combine these terms, we get -5x. The constant term 4 remains the same. Therefore, the simplified expression is -5x + 4.

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• 6.

### Simplify: -6(x + 5) + 2x

• A.

-4x + 30

• B.

-4x + 5

• C.

8x + 5

• D.

-4x - 30

D. -4x - 30
Explanation
The given expression is simplified by distributing the -6 to both terms inside the parentheses: -6(x) + -6(5). This simplifies to -6x - 30. Then, combining like terms, we add the -6x and 2x terms to get -4x. Finally, we combine the -30 and 0 terms to get -30. Therefore, the simplified expression is -4x - 30.

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• 7.

### Simplify: 7p - 5m + 6p + 3m

• A.

13p + 8m

• B.

13p - 2m

• C.

P + 8m

• D.

21pm

B. 13p - 2m
Explanation
The given expression involves adding and subtracting variables. By combining like terms, we can simplify the expression to 13p - 2m.

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• 8.

### What operation should you do first in order to solve the following equation: -9 + x = 43

• A.

• B.

Subtract 9

• C.

Multiply by -9

• D.

Divide by -9

Explanation
To solve the equation -9 + x = 43, the first operation that should be done is to add 9 to both sides of the equation. This will help isolate the variable x on one side of the equation, allowing for further simplification and solving for the value of x.

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• 9.

### What operation should you do first in order to solve the following equation: t/5 = 85

• A.

• B.

Subtract 5

• C.

Multiply by 5

• D.

Divide by 5

C. Multiply by 5
Explanation
To solve the equation t/5 = 85, you need to isolate the variable t. Since t is divided by 5, you need to undo this operation by multiplying both sides of the equation by 5. This will cancel out the division, leaving you with t = 85 * 5. Therefore, the correct operation to do first is to multiply by 5.

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• 10.

### In order to combine like terms, we should...

• A.

• B.

Multiply & divide them

• C.

• D.

Only multiply them