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GED Math : GED Math

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4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #651 : Ged Math

Solve for : $\frac{1}{8}x+3=-5$

Possible Answers:

Correct answer:

Explanation:

Subtract 3 from both sides.

$\frac{1}{8}x+3-3=-5-3$

$\frac{1}{8}x = -8$

Multiply by eight on both sides to isolate the variable.

$\frac{1}{8}x \cdot 8= -8\cdot 8$

x=-64

The answer is:

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Example Question #92 : Algebra

Solve for j in the following equation:

$\frac{12j}{8} = 18$

Possible Answers:

j=4

j=2

j=8

j=12

j=9

Correct answer:

j=12

Explanation:

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

$\frac{12j}{8} = 18$

$\frac{12j}{8} \cdot 8 = 18 \cdot 8$

12j = 144

$\frac{12j}{12} = \frac{144}{12}$

j = 12

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Example Question #651 : Ged Math

Solve for : 2(3x-5) = 11

Possible Answers:

$\frac{7}{2}$

$-\frac{1}{6}$

$\frac{1}{5}$

$\frac{1}{6}$

$\frac{15}{6}$

Correct answer:

$\frac{7}{2}$

Explanation:

Distribute the two through the both terms inside the binomial on the left.

6x-10 = 11

Add 10 on both sides.

6x-10+10 = 11+10

6x = 21

Divide by 6 on both sides.

$\frac{6x}{6} =\frac{ 21}{6}$

Reduce both fractions.

The answer is: $\frac{7}{2}$

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Example Question #654 : Ged Math

Solve the equation: $\frac{4}{x} = -3$

Possible Answers:

$-\frac{1}{12}$

$-\frac{3}{4}$

$-\frac{4}{3}$

$-\frac{1}{3}$

Correct answer:

$-\frac{4}{3}$

Explanation:

Multiply by on both sides.

$\frac{4}{x}\cdot x = -3\cdot x$

4= -3x

Divide by negative three on both sides.

$\frac{4}{-3}=\frac{ -3x}{-3}$

The answer is: $-\frac{4}{3}$

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Example Question #92 : Single Variable Algebra

Solve: $-8x=\frac{4}{5}$

Possible Answers:

$-\frac{1}{10}$

$-\frac{2}{5}$

$\frac{36}{5}$

$\frac{44}{5}$

$-\frac{32}{5}$

Correct answer:

$-\frac{1}{10}$

Explanation:

Divide by negative eight on both sides. This is similar to multiply negative one-eighths on both sides.

$-8x\cdot -\frac{1}{8}=\frac{4}{5}\cdot -\frac{1}{8}$

$x = -\frac{1}{10}$

The answer is: $-\frac{1}{10}$

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Example Question #651 : Ged Math

Give the solution set:

4x < 8x + 72

Possible Answers:

$\left \{ x | x<6\right \}$

$\left \{ x | x > 6\right \}$

$\left \{ x | x<-19\right \}$

$\left \{ x | x > -18\right \}$

Correct answer:

$\left \{ x | x > -18\right \}$

Explanation:

Collect the like terms by subtracting from both sides:

4x - 8x < 8x + 72 - 8x

-4x < 72

Isolate on the right by dividing both sides by . Reverse the direction of the inequality symbol, since you are dividing by a negative number:

$\frac{-4x}{-4} > \frac{72}{-4}$

x > -18

The solution set is $\left \{ x | x > -18\right \}$ .

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Example Question #656 : Ged Math

Solve for : 7x-3 = -5-2x

Possible Answers:

$\frac{5}{8}$

$\frac{8}{9}$

$-\frac{8}{9}$

$-\frac{8}{5}$

$-\frac{2}{9}$

Correct answer:

$-\frac{2}{9}$

Explanation:

Add on both sides.

7x-3 +2x= -5-2x+2x

9x-3 = -5

Add three on both sides.

9x-3+3 = -5+3

9x =-2

Divide by 9 on both sides.

$\frac{9x}{9} =\frac{-2}{9}$

The answer is: $-\frac{2}{9}$

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Example Question #652 : Ged Math

Solve for : -8x+7 = 9x+1

Possible Answers:

$\frac{6 }{17}$

$-\frac{6 }{17}$

$-\frac{8}{17}$

Correct answer:

$\frac{6 }{17}$

Explanation:

Add on both sides.

-8x+7+8x = 9x+1+8x

7= 17x+1

Subtract 1 from both sides.

7-1= 17x+1-1

6 = 17x

Divide by 17 on both sides.

$\frac{6 }{17}= \frac{17x}{17}$

The answer is: $\frac{6 }{17}$

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Example Question #653 : Ged Math

Solve the for : -3x+5 = -8

Possible Answers:

$-\frac{13}{3}$

$\frac{13}{3}$

Correct answer:

$\frac{13}{3}$

Explanation:

Subtract 5 from both sides.

-3x+5 -5= -8-5

-3x = -13

Divide by negative three on both sides.

$\frac{-3x}{-3} = \frac{-13}{-3}$

The answer is: $\frac{13}{3}$

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Example Question #654 : Ged Math

Which of the following makes this equation true:

8x - 13 = 99

Possible Answers:

x=8

x=14

x=12

x=9

x=13

Correct answer:

x=14

Explanation:

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

8x - 13 = 99

8x-13+13=99+13

8x-0=112

8x=112

$\frac{8x}{8} = \frac{112}{8}$

x = 14

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All GED Math Resources

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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #651 : Ged Math

Example Question #92 : Algebra

Example Question #651 : Ged Math

Example Question #654 : Ged Math

Example Question #92 : Single Variable Algebra

Example Question #651 : Ged Math

Example Question #656 : Ged Math

Example Question #652 : Ged Math

Example Question #653 : Ged Math

Example Question #654 : Ged Math

All GED Math Resources

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