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ACT Math : Algebra

Study concepts, example questions & explanations for ACT Math

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All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #23 : How To Solve For A Variable As Part Of A Fraction

Solve for :

$\frac{2x}{5}=\frac{1}{3}$

Possible Answers:

$\frac{7}{6}$

$\frac{5}{6}$

Correct answer:

$\frac{5}{6}$

Explanation:

First, cross-multiply:

6x=5

$x=\frac{5}{6}$

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Example Question #24 : How To Solve For A Variable As Part Of A Fraction

Solve for :

$\frac{x^{2}}{4}=\frac{18}{8}$

Possible Answers:

4, -4

3, -3

Correct answer:

3, -3

Explanation:

Begin by cross-multiplying.

$8x^{2}=72$

$x^{2}=9$

x=3, -3

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Example Question #25 : How To Solve For A Variable As Part Of A Fraction

Solve for :

$\frac{3}{x^2}=\frac{1}{3}$

Possible Answers:

2, -2

3, -3

Correct answer:

3, -3

Explanation:

Begin by cross-multiplying.

x^2(1)=3(3)

x^2=9

x=3, -3

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Example Question #3096 : Act Math

Solve for :

$\frac{x^2+2}{3}=\frac{6}{1}$

Possible Answers:

4, -4

6, -6

Correct answer:

4, -4

Explanation:

Begin by cross-multiplying.

x^2+2(1)=18

Now, solve for .

x^2=16

x=4, -4

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Example Question #76 : Algebraic Fractions

Solve for :

$\frac{2}{x-6}=\frac{4}{3}$

Possible Answers:

$\frac{15}{2}$

$\frac{13}{2}$

$\frac{11}{2}$

$\frac{17}{2}$

Correct answer:

$\frac{15}{2}$

Explanation:

Begin by cross-multiplying.

6=4x-24

Now, solve for

4x=30

$x=\frac{15}{2}$

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Example Question #3102 : Act Math

Solve for :

$\frac{3}{x-5}=\frac{5}{3}$

Possible Answers:

$\frac{27}{4}$

$\frac{32}{3}$

$\frac{34}{5}$

$\frac{37}{4}$

Correct answer:

$\frac{34}{5}$

Explanation:

First, cross-multiply.

9=5x-25

Now, solve for

34=5x

$\frac{34}{5}=x$

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Example Question #3103 : Act Math

Solve for .

$\frac{3}{2x}=\frac{7}{9}$

Possible Answers:

$\frac{29}{14}$

$\frac{3}{2}$

$\frac{27}{14}$

Correct answer:

$\frac{27}{14}$

Explanation:

First, cross multiply.

3(9)=7(2x)

Now, simplify and solve for .

27=14x

$x=\frac{27}{14}$

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Example Question #72 : Algebraic Fractions

Solve for .

$\frac{3x}{5}=\frac{13}{10}$

Possible Answers:

$\frac{7}{3}$

$\frac{13}{6}$

Correct answer:

$\frac{13}{6}$

Explanation:

First, cross multiply.

3x(10)=13(5)

30x=65

$x=\frac{65}{30}=\frac{13}{6}$

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Example Question #31 : How To Solve For A Variable As Part Of A Fraction

Solve for .

$\frac{x-3}{3}=\frac{12}{7}$

Possible Answers:

$\frac{49}{4}$

$\frac{40}{3}$

$\frac{58}{7}$

$\frac{57}{7}$

Correct answer:

$\frac{57}{7}$

Explanation:

First, cross-multiply.

7(x-3)=12(3)

Now, simplify and solve for .

7x-21=36

7x=57

$x=\frac{57}{7}$

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Example Question #32 : How To Solve For A Variable As Part Of A Fraction

Solve for .

$\frac{2x+3}{4}=\frac{5}{3}$

Possible Answers:

$\frac{4}{5}$

$\frac{11}{6}$

$\frac{17}{5}$

Correct answer:

$\frac{11}{6}$

Explanation:

First, cross-multiply.

6x+9=20

Now, solve for .

6x=11

$x=\frac{11}{6}$

Report an Error

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ACT Math : Algebra

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #23 : How To Solve For A Variable As Part Of A Fraction

Example Question #24 : How To Solve For A Variable As Part Of A Fraction

Example Question #25 : How To Solve For A Variable As Part Of A Fraction

Example Question #3096 : Act Math

Example Question #76 : Algebraic Fractions

Example Question #3102 : Act Math

Example Question #3103 : Act Math

Example Question #72 : Algebraic Fractions

Example Question #31 : How To Solve For A Variable As Part Of A Fraction

Example Question #32 : How To Solve For A Variable As Part Of A Fraction

All ACT Math Resources

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