Combining Like Terms & One-Step Equations Assessment

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| By Robin Teliczan

Robin Teliczan

Community Contributor

Quizzes Created: 2 | Total Attempts: 947

Questions: 10 | Attempts: 141 | Updated: Apr 23, 2024

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Combining Like Terms & One-step Equations Assessment - Quiz

Please take the time to answer these questions accurately.

Questions and Answers

1.

Solve: x + 8 = 15
- A.
  
  X = 7
- B.
  
  X = -7
- C.
  
  X = 23
- D.
  
  X = -23
Correct Answer
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
Correct Answer
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
Correct Answer
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
Correct Answer
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
Correct Answer
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
Correct Answer
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
Correct Answer
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.
  
  Add 9
- B.
  
  Subtract 9
- C.
  
  Multiply by -9
- D.
  
  Divide by -9
Correct Answer
A. Add 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.
  
  Add 5
- B.
  
  Subtract 5
- C.
  
  Multiply by 5
- D.
  
  Divide by 5
Correct Answer
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.
  
  Add & subtract them
- B.
  
  Multiply & divide them
- C.
  
  Only add them
- D.
  
  Only multiply them
Correct Answer
A. Add & subtract them

Explanation
To combine like terms, we need to add or subtract them. This is because like terms have the same variable raised to the same power. By adding or subtracting them, we can simplify the expression and combine the coefficients of the like terms. Multiplying or dividing the like terms would not result in combining them, but rather in creating new terms or changing their values. Therefore, adding and subtracting the like terms is the correct approach to combine them.

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Current Version
Apr 23, 2024

Quiz Edited by
ProProfs Editorial Team
Apr 14, 2020

Quiz Created by
Robin Teliczan

Combining Like Terms & One-step Equations Assessment

Solve: x + 8 = 15

Solve: y - 3 = -5

Solve: -2x = 88

Solve: r/5 = -9

Simplify: 3x + 4 - 8x

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

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

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

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

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