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Algebra 1 : How to solve two-step equations

Study concepts, example questions & explanations for Algebra 1

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #51 : How To Solve Two Step Equations

Solve for $\displaystyle x$.

2x+6=20 $\displaystyle 2x+6=20$

Possible Answers:

$\displaystyle 7$

$\displaystyle 8$

$\displaystyle 14$

$\displaystyle 9$

$\displaystyle 13$

Correct answer:

$\displaystyle 7$

Explanation:

2x+6=20 $\displaystyle 2x+6=20$ Isolate $\displaystyle 2x$ by subtracting both sides by $\displaystyle 6$.

2x=14 $\displaystyle 2x=14$ Divide both sides by $\displaystyle 2$ to just get $\displaystyle x$.

x=7 $\displaystyle x=7$

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Example Question #52 : How To Solve Two Step Equations

Solve for $\displaystyle x.$

3x-6=21 $\displaystyle 3x-6=21$

Possible Answers:

$\displaystyle 27$

$\displaystyle 18$

$\displaystyle 5$

$\displaystyle 9$

$\displaystyle 6$

Correct answer:

$\displaystyle 9$

Explanation:

3x-6=21 $\displaystyle 3x-6=21$ Isolate $\displaystyle 3x$ by adding both sides by $\displaystyle 6$.

3x=27 $\displaystyle 3x=27$ Divide both sides by $\displaystyle 3$ to just get $\displaystyle x$.

x=9 $\displaystyle x=9$

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Example Question #53 : How To Solve Two Step Equations

Solve for $\displaystyle x$.

5x+7=-3 $\displaystyle 5x+7=-3$

Possible Answers:

$\displaystyle 2$

$\displaystyle 3$

$\displaystyle -2$

$\displaystyle -10$

$\displaystyle 10$

Correct answer:

$\displaystyle -2$

Explanation:

5x+7=-3 $\displaystyle 5x+7=-3$ Isolate $\displaystyle 5x$ by subtracting both sides by $\displaystyle 7$.

5x=-10 $\displaystyle 5x=-10$ Divide both sides by $\displaystyle 5$ to just get $\displaystyle x$.

x=-2 $\displaystyle x=-2$

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Example Question #53 : How To Solve Two Step Equations

Solve for $\displaystyle x$.

$\frac{x+3}{6}=5$ $\displaystyle \frac{x+3}{6}=5$

Possible Answers:

$\displaystyle 24$

$\displaystyle 30$

$\displaystyle 16$

$\displaystyle 27$

$\displaystyle 8$

Correct answer:

$\displaystyle 27$

Explanation:

$\frac{x+3}{6}=5$ $\displaystyle \frac{x+3}{6}=5$ Cross-multiply.

x+3=30 $\displaystyle x+3=30$ Subtract both sides by $\displaystyle 3$ to just get $\displaystyle x$.

x=27 $\displaystyle x=27$

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Example Question #55 : How To Solve Two Step Equations

Solve for $\displaystyle x$.

$\frac{2x}{4}=9$ $\displaystyle \frac{2x}{4}=9$

Possible Answers:

$\displaystyle 12$

$\displaystyle 36$

$\displaystyle 18$

$\displaystyle -2$

$\displaystyle -18$

Correct answer:

$\displaystyle 18$

Explanation:

$\frac{2x}{4}=9$ $\displaystyle \frac{2x}{4}=9$ Cross-multiply.

2x=36 $\displaystyle 2x=36$ Divide both sides by $\displaystyle 2$ to just get $\displaystyle x$.

x=18 $\displaystyle x=18$

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Example Question #51 : How To Solve Two Step Equations

Solve for $\displaystyle x$.

$\frac{16}{x}=4$ $\displaystyle \frac{16}{x}=4$

Possible Answers:

$\displaystyle 2$

$\displaystyle 16$

$\displaystyle 12$

$\displaystyle 8$

$\displaystyle 4$

Correct answer:

$\displaystyle 4$

Explanation:

$\frac{16}{x}=4$ $\displaystyle \frac{16}{x}=4$ Cross-multiply.

4x=16 $\displaystyle 4x=16$ Divide both sides by $\displaystyle 4$ to just get $\displaystyle x$.

x=4 $\displaystyle x=4$

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Example Question #51 : How To Solve Two Step Equations

Solve for $\displaystyle x$.

$\frac{3}{x}=2$ $\displaystyle \frac{3}{x}=2$

Possible Answers:

$\frac{3}{2}$ $\displaystyle \frac{3}{2}$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

$\displaystyle 3$

$\displaystyle 2$

$\frac{2}{3}$ $\displaystyle \frac{2}{3}$

Correct answer:

$\frac{3}{2}$ $\displaystyle \frac{3}{2}$

Explanation:

$\frac{3}{x}=2$ $\displaystyle \frac{3}{x}=2$ Cross-multiply.

2x=3 $\displaystyle 2x=3$ Divide both sides by $\displaystyle 2$ to just get $\displaystyle x$.

$x=\frac{3}{2}$ $\displaystyle x=\frac{3}{2}$

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Example Question #54 : How To Solve Two Step Equations

Solve for $\displaystyle x$.

$\frac{x}{4}-3=5$ $\displaystyle \frac{x}{4}-3=5$

Possible Answers:

$\displaystyle 32$

$\displaystyle 8$

$\displaystyle 24$

$\displaystyle 16$

$\displaystyle 64$

Correct answer:

$\displaystyle 32$

Explanation:

$\frac{x}{4}-3=5$ $\displaystyle \frac{x}{4}-3=5$ Add $\displaystyle 3$ to both sides.

$\frac{x}{4}=8$ $\displaystyle \frac{x}{4}=8$ Cross-multiply.

x=18 $\displaystyle x=18$

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Example Question #591 : Linear Equations

Solve for $\displaystyle x$.

$\frac{n}{10}+2=4$ $\displaystyle \frac{n}{10}+2=4$

Possible Answers:

$\displaystyle 30$

$\displaystyle 40$

$\displaystyle 20$

$\displaystyle -5$

$\displaystyle 10$

Correct answer:

$\displaystyle 20$

Explanation:

$\frac{x}{10}+2=4$ $\displaystyle \frac{x}{10}+2=4$ Subtract $\displaystyle 2$ to both sides.

$\frac{x}{10}=2$ $\displaystyle \frac{x}{10}=2$ Cross-multiply.

x=20 $\displaystyle x=20$

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Example Question #591 : Algebra 1

Solve for $\displaystyle x$.

$3-\frac{x}{7}=-2$ $\displaystyle 3-\frac{x}{7}=-2$

Possible Answers:

$\displaystyle -14$

$\displaystyle 35$

$\displaystyle -10$

$\displaystyle -21$

$\displaystyle -35$

Correct answer:

$\displaystyle 35$

Explanation:

$3-\frac{x}{7}=-2$ $\displaystyle 3-\frac{x}{7}=-2$ Subtract $\displaystyle 3$ to both sides. Since wee subtract two negative numbers, we treat as addition.

$-\frac{x}{7}=-5$ $\displaystyle -\frac{x}{7}=-5$ Cross-multiply. Since we multiplying two negative numbers, answer should be positive.

x=35 $\displaystyle x=35$

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Algebra 1 : How to solve two-step equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #51 : How To Solve Two Step Equations

Example Question #52 : How To Solve Two Step Equations

Example Question #53 : How To Solve Two Step Equations

Example Question #53 : How To Solve Two Step Equations

Example Question #55 : How To Solve Two Step Equations

Example Question #51 : How To Solve Two Step Equations

Example Question #51 : How To Solve Two Step Equations

Example Question #54 : How To Solve Two Step Equations

Example Question #591 : Linear Equations

Example Question #591 : Algebra 1

All Algebra 1 Resources

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