Solving Simple Equations

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| By Ozil

Ozil

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Quizzes Created: 1 | Total Attempts: 4,163

Questions: 10 | Attempts: 4,163 | Updated: Mar 21, 2023

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See page 77 of the textbook

Questions and Answers

1.

X - 3 = 10
- A.
  
  X = -7
- B.
  
  X = 13
- C.
  
  X = 7
- D.
  
  X = -13
Correct Answer
B. X = 13

Explanation
The given equation is x - 3 = 10. To solve for x, we need to isolate x on one side of the equation. Adding 3 to both sides, we get x = 13. Therefore, the correct answer is x = 13.

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2.

X - ( -7) = 15
- A.
  
  X = 8
- B.
  
  X = -22
- C.
  
  X = 22
- D.
  
  X = -8
Correct Answer
A. X = 8

Explanation
The equation x - (-7) = 15 can be simplified by removing the parentheses and combining like terms. The negative sign in front of the -7 can be rewritten as a positive, so the equation becomes x + 7 = 15. To solve for x, we need to isolate it on one side of the equation. By subtracting 7 from both sides, we get x = 8. Therefore, the correct answer is x = 8.

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5
0
3.

-10 + x = 3
- A.
  
  X = 7
- B.
  
  X = -7
- C.
  
  X = 13
- D.
  
  X = -13
Correct Answer
C. X = 13

Explanation
The correct answer is x = 13 because when we substitute x = 13 into the equation -10 + x = 3, we get -10 + 13 = 3, which simplifies to 3 = 3. This means that x = 13 satisfies the equation and is the solution.

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7
6
4.

1 + 2x = 7
- A.
  
  X = 3
- B.
  
  X = -4
- C.
  
  X = 4
- D.
  
  X = -3
Correct Answer
A. X = 3

Explanation
The correct answer is x = 3 because when we substitute x = 3 into the equation 1 + 2x = 7, we get 1 + 2(3) = 7 which simplifies to 1 + 6 = 7. This equation is true, therefore x = 3 is the correct solution.

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10
0
5.

2 + 2x = 7 + x
- A.
  
  X = -5
- B.
  
  X = 3
- C.
  
  X = -3
- D.
  
  X = 5
Correct Answer
D. X = 5

Explanation
To solve the equation 2 + 2x = 7 + x, we need to isolate the variable x. First, we can combine like terms by subtracting x from both sides of the equation, resulting in 2 + x = 7. Next, we can subtract 2 from both sides to get x = 5. Therefore, the correct answer is x = 5.

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4
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6.

3x + 3 = 3 + 2x
- A.
  
  X = 6
- B.
  
  X = -6
- C.
  
  X = 0
- D.
  
  X = 6/5
Correct Answer
C. X = 0

Explanation
The given equation is a linear equation in one variable. By simplifying the equation, we can combine like terms and isolate the variable x. When we do this, we find that the equation simplifies to 3x - 2x = 3 - 3, which further simplifies to x = 0. Therefore, the correct answer is x = 0.

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3
0
7.

4x - 4 = -6 + 3x
- A.
  
  X = -2
- B.
  
  X = 10
- C.
  
  X = -10
- D.
  
  X = 2
Correct Answer
A. X = -2

Explanation
By rearranging the equation, we can simplify it to 4x - 3x = -6 + 4. This further simplifies to x = -2, which means that -2 is the value of x that satisfies the given equation.

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8.

5x - 2 = -8 + 4x
- A.
  
  X = 6
- B.
  
  X = 10
- C.
  
  X = -6
- D.
  
  X = -10
Correct Answer
C. X = -6

Explanation
The equation given is a linear equation with one variable. To solve it, we need to isolate the variable on one side of the equation. By subtracting 4x from both sides of the equation, we get x - 2 = -8. Then, by adding 2 to both sides of the equation, we get x = -6. Thus, the correct answer is x = -6.

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3
0
9.
- A.
  
  X = 2/3
- B.
  
  X = 1/6
- C.
  
  X = 6
- D.
  
  X = 3/2
Correct Answer
C. X = 6

Explanation
The given answer, x = 6, is correct because it is the only value among the given options that is a whole number. The other options are either fractions or decimal numbers. Therefore, x = 6 is the only option that satisfies the condition of being a whole number.

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3
0
10.
- A.
  
  X = 1/2
- B.
  
  X = 2
- C.
  
  X = -1/2
- D.
  
  X = -2
Correct Answer
D. X = -2

Explanation
The given answer, x = -2, is correct because it satisfies the equation. By substituting -2 into the equation, we get -2 = -2, which is a true statement. Therefore, x = -2 is a valid solution.

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4
1

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Current Version
Mar 21, 2023

Quiz Edited by
ProProfs Editorial Team
Aug 03, 2012

Quiz Created by
Ozil

Solving Simple Equations

X - 3 = 10

X - ( -7) = 15

-10 + x = 3

1 + 2x = 7

2 + 2x = 7 + x

3x + 3 = 3 + 2x

4x - 4 = -6 + 3x

5x - 2 = -8 + 4x