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Algebra 1 : How to solve one-step equations

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Example Questions

Example Question #291 : How To Solve One Step Equations

Solve for $\displaystyle x$.

x-86=23 $\displaystyle x-86=23$

Possible Answers:

109 $\displaystyle 109$

$\displaystyle 63$

$\displaystyle 24$

$\displaystyle -63$

$\displaystyle -109$

Correct answer:

109 $\displaystyle 109$

Explanation:

x-86=23 $\displaystyle x-86=23$ Add $\displaystyle 86$ to both sides.

x=109 $\displaystyle x=109$

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Example Question #292 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\displaystyle x-18=-29$

Possible Answers:

$\displaystyle -11$

$\displaystyle 11$

$\displaystyle 13$

$\displaystyle 47$

$\displaystyle -47$

Correct answer:

$\displaystyle -11$

Explanation:

$\displaystyle x-18=-29$ Add $\displaystyle 18$ on both sides. Since $\displaystyle 29$ is greater than $\displaystyle 18$ and is negative, our answer is negative. We treat as a normal subtraction.

x=-11 $\displaystyle x=-11$

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Example Question #293 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\displaystyle x-54=-46$

Possible Answers:

$\displaystyle 25$

$\displaystyle -100$

$\displaystyle -8$

100 $\displaystyle 100$

$\displaystyle 8$

Correct answer:

$\displaystyle 8$

Explanation:

$\displaystyle x-54=-46$ Add $\displaystyle 54$ to both sides. Since $\displaystyle 54$ is greater than $\displaystyle 46$ and is positive, our answer is positive. We treat as a normal subtraction.

x=8 $\displaystyle x=8$

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Example Question #294 : How To Solve One Step Equations

Solve for $\displaystyle x$.

4x=80 $\displaystyle 4x=80$

Possible Answers:

$\displaystyle 60$

160 $\displaystyle 160$

$\displaystyle 20$

$\displaystyle 40$

320 $\displaystyle 320$

Correct answer:

$\displaystyle 20$

Explanation:

4x=80 $\displaystyle 4x=80$ Divide $\displaystyle 4$ on both sides.

x=20 $\displaystyle x=20$

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Example Question #295 : How To Solve One Step Equations

Solve for $\displaystyle x$.

7x=-119 $\displaystyle 7x=-119$

Possible Answers:

$\displaystyle 17$

$\displaystyle 27$

$\displaystyle -27$

$\displaystyle -17$

$\displaystyle 22$

Correct answer:

$\displaystyle -17$

Explanation:

7x=-119 $\displaystyle 7x=-119$ Divide $\displaystyle 7$ on both sides. When dividing with a negative number, our answer is negative.

x=-17 $\displaystyle x=-17$

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Example Question #296 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\displaystyle -6x=-732$

Possible Answers:

122 $\displaystyle 122$

$\displaystyle -122$

112 $\displaystyle 112$

$\displaystyle -112$

132 $\displaystyle 132$

Correct answer:

122 $\displaystyle 122$

Explanation:

$\displaystyle -6x=-732$ Divide both sides by $\displaystyle -6$. When dividing with another negative number, the answer is positive.

x=122 $\displaystyle x=122$

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Example Question #297 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\frac{x}{9}=23$ $\displaystyle \frac{x}{9}=23$

Possible Answers:

207 $\displaystyle 207$

187 $\displaystyle 187$

227 $\displaystyle 227$

197 $\displaystyle 197$

217 $\displaystyle 217$

Correct answer:

207 $\displaystyle 207$

Explanation:

$\frac{x}{9}=23$ $\displaystyle \frac{x}{9}=23$ Multiply $\displaystyle 9$ on both sides.

x=207 $\displaystyle x=207$

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Example Question #298 : How To Solve One Step Equations

Solve for $\displaystyle x$.

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

Possible Answers:

192 $\displaystyle 192$

182 $\displaystyle 182$

162 $\displaystyle 162$

$\displaystyle -192$

$\displaystyle -162$

Correct answer:

$\displaystyle -192$

Explanation:

$\frac{x}{-4}=48$ $\displaystyle \frac{x}{-4}=48$ Multiply $\displaystyle -4$ on both sides. When multiplying with a positive number, our answer is negative.

x=-192 $\displaystyle x=-192$

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Example Question #299 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\frac{x}{-11}=-19$ $\displaystyle \frac{x}{-11}=-19$

Possible Answers:

219 $\displaystyle 219$

199 $\displaystyle 199$

209 $\displaystyle 209$

$\displaystyle -209$

$\displaystyle -199$

Correct answer:

209 $\displaystyle 209$

Explanation:

$\frac{x}{-11}=-19$ $\displaystyle \frac{x}{-11}=-19$ Multiply $\displaystyle -11$ on both sides. When multiplying with another negative number, our answer is positive.

x=209 $\displaystyle x=209$

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Example Question #300 : How To Solve One Step Equations

Solve for $\displaystyle x$ in the following equations:

$\frac{x}{-4} = -7$ $\displaystyle \frac{x}{-4} = -7$

Possible Answers:

x=28 $\displaystyle x=28$

x=-28 $\displaystyle x=-28$

x=32 $\displaystyle x=32$

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

x=-11 $\displaystyle x=-11$

Correct answer:

x=28 $\displaystyle x=28$

Explanation:

To solve, we need to get $\displaystyle x$ alone. To do that, multiply both sides by $\displaystyle -4$

$\frac{x}{-4} = -7$ $\displaystyle \frac{x}{-4} = -7$

$\frac{x}{-4} \cdot -4 = -7 \cdot -4$ $\displaystyle \frac{x}{-4} \cdot -4 = -7 \cdot -4$

x = 28 $\displaystyle x = 28$

Remember that a negative times a negative is a positive. So, the answer is $\displaystyle 28$.

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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 #291 : How To Solve One Step Equations

Example Question #292 : How To Solve One Step Equations

Example Question #293 : How To Solve One Step Equations

Example Question #294 : How To Solve One Step Equations

Example Question #295 : How To Solve One Step Equations

Example Question #296 : How To Solve One Step Equations

Example Question #297 : How To Solve One Step Equations

Example Question #298 : How To Solve One Step Equations

Example Question #299 : How To Solve One Step Equations

Example Question #300 : How To Solve One Step Equations

All Algebra 1 Resources

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