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Algebra 1 : How to solve one-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 #491 : How To Solve One Step Equations

Solve the following equation: 6x= -36 $\displaystyle 6x= -36$

Possible Answers:

$-\frac{1}{6}$ $\displaystyle -\frac{1}{6}$

$\displaystyle -30$

$\displaystyle 6$

$\displaystyle -42$

$\displaystyle -6$

Correct answer:

$\displaystyle -6$

Explanation:

In order to solve for x, we will need to divide by six on both sides.

$\frac{6x}{6}= \frac{-36}{6}$ $\displaystyle \frac{6x}{6}= \frac{-36}{6}$

Simplify both sides.

The answer is: $\displaystyle -6$

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Example Question #492 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\frac{3}{7}x=84$ $\displaystyle \frac{3}{7}x=84$

Possible Answers:

128 $\displaystyle 128$

$\displaystyle 49$

196 $\displaystyle 196$

$\displaystyle 36$

$\displaystyle 86$

Correct answer:

196 $\displaystyle 196$

Explanation:

$\frac{3}{7}x=84$ $\displaystyle \frac{3}{7}x=84$ Multiply $\frac{7}{3}$ $\displaystyle \frac{7}{3}$ on both sides.

x=196 $\displaystyle x=196$

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Example Question #493 : Linear Equations

Solve for $\displaystyle x$.

$\frac{x}{12}=-75$ $\displaystyle \frac{x}{12}=-75$

Possible Answers:

$\displaystyle -850$

$\displaystyle -960$

600 $\displaystyle 600$

$\displaystyle -900$

1000 $\displaystyle 1000$

Correct answer:

$\displaystyle -900$

Explanation:

$\frac{x}{12}=-75$ $\displaystyle \frac{x}{12}=-75$ Multiply $\displaystyle 12$ on both sides. When multiplying with a negative number, our answer is negative.

x=-900 $\displaystyle x=-900$

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Example Question #494 : Linear Equations

Solve for $\displaystyle x$.

$\frac{x}{-14.53}=-12.21$ $\displaystyle \frac{x}{-14.53}=-12.21$

Possible Answers:

$\displaystyle -177.2313$

$\displaystyle -181.9023$

$\displaystyle 179.4823$

$\displaystyle 177.4113$

$\displaystyle -180.8813$

Correct answer:

$\displaystyle 177.4113$

Explanation:

$\frac{x}{-14.53}=-12.21$ $\displaystyle \frac{x}{-14.53}=-12.21$ Multiply -14.53 $\displaystyle -14.53$ on both sides. When multiplying with another negative number, our answer is positive.

$\displaystyle x=177.4113$

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Example Question #493 : How To Solve One Step Equations

Solve the following equation: -4x= 48 $\displaystyle -4x= 48$

Possible Answers:

$\displaystyle -52$

$\displaystyle -12$

$\displaystyle 52$

$\displaystyle 44$

$\displaystyle 12$

Correct answer:

$\displaystyle -12$

Explanation:

Divide by negative four on both sides to isolate the x variable.

$\frac{-4x}{-4}= \frac{48}{-4}$ $\displaystyle \frac{-4x}{-4}= \frac{48}{-4}$

Simplify both sides.

x=-12 $\displaystyle x=-12$

The answer is: $\displaystyle -12$

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Example Question #492 : How To Solve One Step Equations

Solve the following equation: 6+x=-6 $\displaystyle 6+x=-6$

Possible Answers:

$\displaystyle -36$

$\displaystyle 36$

$\displaystyle -12$

$\displaystyle 0$

$\displaystyle 12$

Correct answer:

$\displaystyle -12$

Explanation:

In order to isolate the x-variable, we will need to subtract six from both sides.

$\displaystyle 6+x-6=-6-6$

Simplify both sides. When subtracting from a negative number, the number becomes increasingly negative.

The answer is: x=-12 $\displaystyle x=-12$

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Example Question #497 : Linear Equations

Solve.

3x=-3 $\displaystyle 3x=-3$

Possible Answers:

x=3 $\displaystyle x=3$

x=-1 $\displaystyle x=-1$

x=1 $\displaystyle x=1$

x=-3 $\displaystyle x=-3$

x=0 $\displaystyle x=0$

Correct answer:

x=-1 $\displaystyle x=-1$

Explanation:

This is a one-step problem in which you need to divide both sides of the equation by 3.

3x=-3 $\displaystyle 3x=-3$

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

$\small x=\frac{-3}{3}$ $\displaystyle \small x=\frac{-3}{3}$

x=-1 $\displaystyle x=-1$

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Example Question #498 : Linear Equations

Solve for $\displaystyle x$.

$\displaystyle x+65.23=90.12$

Possible Answers:

127.82 $\displaystyle 127.82$

48.99 $\displaystyle 48.99$

155.35 $\displaystyle 155.35$

35.98 $\displaystyle 35.98$

24.89 $\displaystyle 24.89$

Correct answer:

24.89 $\displaystyle 24.89$

Explanation:

$\displaystyle x+65.23=90.12$

Subtract 65.23 $\displaystyle 65.23$ from both sides.

x=24.89 $\displaystyle x=24.89$

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Example Question #499 : Linear Equations

Solve for $\displaystyle x$.

$\displaystyle x+625.34=298.77$

Possible Answers:

924.11 $\displaystyle 924.11$

-492.57 $\displaystyle -492.57$

892.11 $\displaystyle 892.11$

786.01 $\displaystyle 786.01$

-326.57 $\displaystyle -326.57$

Correct answer:

-326.57 $\displaystyle -326.57$

Explanation:

$\displaystyle x+625.34=298.77$

Subtract 625.34 $\displaystyle 625.34$ from both sides. Since 625.34 $\displaystyle 625.34$ is greater than 298.77 $\displaystyle 298.77$, our answer is negative. We treat as a subtraction problem.

$\displaystyle x=-326.57$

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Example Question #500 : Linear Equations

Solve for $\displaystyle x$.

$\displaystyle x+387.46=-298.15$

Possible Answers:

-685.61 $\displaystyle -685.61$

-799.23 $\displaystyle -799.23$

800.04 $\displaystyle 800.04$

89.31 $\displaystyle 89.31$

685.61 $\displaystyle 685.61$

Correct answer:

-685.61 $\displaystyle -685.61$

Explanation:

$\displaystyle x+387.46=-298.15$

Subtract 387.46 $\displaystyle 387.46$ from both sides. When adding with another negative number, we just add the numbers and put a minus sign in front.

$\displaystyle x=-685.61$

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Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #491 : How To Solve One Step Equations

Example Question #492 : How To Solve One Step Equations

Example Question #493 : Linear Equations

Example Question #494 : Linear Equations

Example Question #493 : How To Solve One Step Equations

Example Question #492 : How To Solve One Step Equations

Example Question #497 : Linear Equations

Example Question #498 : Linear Equations

Example Question #499 : Linear Equations

Example Question #500 : Linear Equations

All Algebra 1 Resources

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