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GED Math : Solving for the Variable

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Example Questions

Example Question #71 : Single Variable Algebra

Which of the following makes this equation true:

9x=72

Possible Answers:

x=4

x=9

x=7

x=6

x=8

Correct answer:

x=8

Explanation:

To answer the question, we will solve for x, So, we get

9x=72

$\frac{9x}{9} = \frac{72}{9}$

x = 8

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Example Question #22 : Solving For The Variable

Solve for b.

$\frac{b}{6} = 12$

Possible Answers:

b = 2

b = 18

b = 36

b = 72

b = 6

Correct answer:

b = 72

Explanation:

To solve for b, we want b to stand alone. So, we get

$\frac{b}{6} = 12$

$\frac{b}{6} \cdot 6 = 12 \cdot 6$

b = 72

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Example Question #23 : Solving For The Variable

Which of the following makes this equation true:

7y-5=51

Possible Answers:

y = 8

y=6

y=9

y=4

y=7

Correct answer:

y = 8

Explanation:

To answer this, we will solve for y. So, we get

7y-5+5=51+5

7y-0=56

7y=56

$\frac{7y}{7} = \frac{56}{7}$

y = 8

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Example Question #74 : Algebra

Which of the following makes this equation true:

13y+9=87

Possible Answers:

y=6

y=12

y=7

y=8

y=9

Correct answer:

y=6

Explanation:

To answer this question, we will solve for y. We get

13y+9-9=87-9

13y+0=78

13y=78

$\frac{13y}{13} = \frac{78}{13}$

y= 6

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Example Question #72 : Algebra

Which of the following makes this equation true:

3x+7=31

Possible Answers:

x=8

x=4

x=7

x=9

x=6

Correct answer:

x=8

Explanation:

To answer the question, we will solve for x. So, we get

3x+7-7=31-7

3x-0=24

3x=24

$\frac{3x}{3} = \frac{24}{3}$

x=8

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Example Question #22 : Solving For The Variable

Solve for k.

$\frac{k}{9} = 12$

Possible Answers:

k=98

k=89

k=72

k=96

k=108

Correct answer:

k=108

Explanation:

To solve for k, we want k to stand alone. So, we get

$\frac{k}{9} = 12$

$\frac{k}{9} \cdot 9 = 12 \cdot 9$

k= 108

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Example Question #23 : Solving For The Variable

Solve for : $2x+\frac{y}{4} = \frac{x}{2}$

Possible Answers:

y=-4x

y=-6x

y=8x

y=6x

y=-8x

Correct answer:

y=-6x

Explanation:

Multiply both sides by the least common denominator, four.

This will eliminate the fractions.

$4(2x+\frac{y}{4}) = (\frac{x}{2})(4)$

8x+y = 2x

Subtract on both sides.

8x+y-8x = 2x-8x

The answer is: y=-6x

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Example Question #22 : Solving For The Variable

Which of the following makes this equation true:

6y+5=47

Possible Answers:

y=7

y=8

y=6

y=4

y=9

Correct answer:

y=7

Explanation:

To answer the question, we will solve for y. We get

6y+5-5=47-5

6y+0=42

6y=42

$\frac{6y}{6} = \frac{42}{6}$

y=7

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Example Question #25 : Solving For The Variable

Which of the following makes this equation true:

$\frac{a}{8} +1 =10$

Possible Answers:

a=9

a=64

a=7

a=56

a=72

Correct answer:

a=72

Explanation:

To answer the question, we will solve for a. We get

$\frac{a}{8}+1-1=10-1$

$\frac{a}{8}+0=9$

$\frac{a}{8}=9$

$\frac{a}{8} \cdot 8 = 9 \cdot 8$

a = 72

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Example Question #22 : Solving For The Variable

Which of the following makes this equation true:

14x-8=160

Possible Answers:

x=12

x=9

x=8

x=11

x=7

Correct answer:

x=12

Explanation:

To answer this question, we will solve for y. We get

14x-8+8=160+8

14x-0=168

14x=168

$\frac{14x}{14} = \frac{168}{14}$

x=12

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GED Math : Solving for the Variable

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #71 : Single Variable Algebra

Example Question #22 : Solving For The Variable

Example Question #23 : Solving For The Variable

Example Question #74 : Algebra

Example Question #72 : Algebra

Example Question #22 : Solving For The Variable

Example Question #23 : Solving For The Variable

Example Question #22 : Solving For The Variable

Example Question #25 : Solving For The Variable

Example Question #22 : Solving For The Variable

All GED Math Resources

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