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Algebra 1 : How to solve one-step equations

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Example Questions

Example Question #151 : How To Solve One Step Equations

Solve for $\displaystyle w$:

$\displaystyle w-12=124$

Possible Answers:

w=126 $\displaystyle w=126$

$w=\frac{31}{3}$ $\displaystyle w=\frac{31}{3}$

w=112 $\displaystyle w=112$

w=136 $\displaystyle w=136$

Correct answer:

w=136 $\displaystyle w=136$

Explanation:

$\displaystyle w-12=124$

Add $\displaystyle 12$ to both sides.

w=136 $\displaystyle w=136$

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Example Question #152 : How To Solve One Step Equations

Solve for $\displaystyle x$:

$\displaystyle 12x=-264$

Possible Answers:

x=-1200 $\displaystyle x=-1200$

x=-22 $\displaystyle x=-22$

x=-3168 $\displaystyle x=-3168$

x=-32 $\displaystyle x=-32$

Correct answer:

x=-22 $\displaystyle x=-22$

Explanation:

$\displaystyle 12x=-264$

Divide both sides by $\displaystyle 12$.

x=-22 $\displaystyle x=-22$

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Example Question #153 : How To Solve One Step Equations

Solve for $\displaystyle x$:

$-\frac{x}{5}=12$ $\displaystyle -\frac{x}{5}=12$

Possible Answers:

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

$x=-\frac{12}{5}$ $\displaystyle x=-\frac{12}{5}$

x=-40 $\displaystyle x=-40$

x=-60 $\displaystyle x=-60$

Correct answer:

x=-60 $\displaystyle x=-60$

Explanation:

$-\frac{x}{5}=12$ $\displaystyle -\frac{x}{5}=12$

Multiply both sides by $\displaystyle -5$.

x=-60 $\displaystyle x=-60$

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Example Question #154 : How To Solve One Step Equations

Solve for $\displaystyle k$:

k+9=-88 $\displaystyle k+9=-88$

Possible Answers:

k=-97 $\displaystyle k=-97$

k=-108 $\displaystyle k=-108$

k=-81 $\displaystyle k=-81$

k=-91 $\displaystyle k=-91$

Correct answer:

k=-97 $\displaystyle k=-97$

Explanation:

k+9=-88 $\displaystyle k+9=-88$

Subtract $\displaystyle 9$ from both sides.

k=-97 $\displaystyle k=-97$

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Example Question #155 : How To Solve One Step Equations

Solve for $\displaystyle h$:

$-\frac{h}{6}=-42$ $\displaystyle -\frac{h}{6}=-42$

Possible Answers:

h=128 $\displaystyle h=128$

h=252 $\displaystyle h=252$

h=-252 $\displaystyle h=-252$

h=7 $\displaystyle h=7$

Correct answer:

h=252 $\displaystyle h=252$

Explanation:

$-\frac{h}{6}=-42$ $\displaystyle -\frac{h}{6}=-42$

Multiply both sides by $\displaystyle -6$.

h=252 $\displaystyle h=252$

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Example Question #156 : How To Solve One Step Equations

Solve for $\displaystyle x$:

$-\frac{x}{10}=-0.1$ $\displaystyle -\frac{x}{10}=-0.1$

Possible Answers:

x=10.1 $\displaystyle x=10.1$

x=-0.9 $\displaystyle x=-0.9$

x=1 $\displaystyle x=1$

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

Correct answer:

x=1 $\displaystyle x=1$

Explanation:

$-\frac{x}{10}=-0.1$ $\displaystyle -\frac{x}{10}=-0.1$

Multiply both sides by $\displaystyle 10$.

x=1 $\displaystyle x=1$

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Example Question #157 : How To Solve One Step Equations

Solve for $\displaystyle x$:

10x=29 $\displaystyle 10x=29$

Possible Answers:

$x=\frac{29}{10}$ $\displaystyle x=\frac{29}{10}$

x=290 $\displaystyle x=290$

x=19 $\displaystyle x=19$

$x=\frac{10}{29}$ $\displaystyle x=\frac{10}{29}$

Correct answer:

$x=\frac{29}{10}$ $\displaystyle x=\frac{29}{10}$

Explanation:

10x=29 $\displaystyle 10x=29$

Divide both sides of the equation by $\displaystyle 10$.

$\frac{10x}{10}=\frac{29}{10}$ $\displaystyle \frac{10x}{10}=\frac{29}{10}$

$x=\frac{29}{10}$ $\displaystyle x=\frac{29}{10}$

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Example Question #158 : How To Solve One Step Equations

Solve for $\displaystyle x$:

$\frac{x}{12}=24$ $\displaystyle \frac{x}{12}=24$

Possible Answers:

x=2 $\displaystyle x=2$

x=36 $\displaystyle x=36$

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

x=288 $\displaystyle x=288$

Correct answer:

x=288 $\displaystyle x=288$

Explanation:

$\frac{x}{12}=24$ $\displaystyle \frac{x}{12}=24$

Multiply both sides of the equation by $\displaystyle 12$.

$(12)\frac{x}{12}=24(12)$ $\displaystyle (12)\frac{x}{12}=24(12)$

x=288 $\displaystyle x=288$

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Example Question #159 : How To Solve One Step Equations

Solve for $\displaystyle x$:

$\frac{x}{14}=-21$ $\displaystyle \frac{x}{14}=-21$

Possible Answers:

x=-38 $\displaystyle x=-38$

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

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

x=-294 $\displaystyle x=-294$

Correct answer:

x=-294 $\displaystyle x=-294$

Explanation:

$\frac{x}{14}=-21$ $\displaystyle \frac{x}{14}=-21$

Multiply both sides of the equation by $\displaystyle 14$.

$(14)\frac{x}{14}=-21(14)$ $\displaystyle (14)\frac{x}{14}=-21(14)$

Remember that when a negative number is multiplied by a positive number, the answer is always negative.

x=-294 $\displaystyle x=-294$

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Example Question #160 : How To Solve One Step Equations

Solve for $\displaystyle x$:

$\frac{x}{4}=-21$ $\displaystyle \frac{x}{4}=-21$

Possible Answers:

x=-84 $\displaystyle x=-84$

x=-25 $\displaystyle x=-25$

x=16 $\displaystyle x=16$

$x=-\frac{21}{4}$ $\displaystyle x=-\frac{21}{4}$

Correct answer:

x=-84 $\displaystyle x=-84$

Explanation:

$\frac{x}{4}=-21$ $\displaystyle \frac{x}{4}=-21$

Multiply both sides by of the equation by $\displaystyle 4$.

$(4)\frac{x}{4}=-21(4)$ $\displaystyle (4)\frac{x}{4}=-21(4)$

Remember that when a negative number is multiplied by a positive number, the answer is always negative.

x=-84 $\displaystyle x=-84$

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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 #151 : How To Solve One Step Equations

Example Question #152 : How To Solve One Step Equations

Example Question #153 : How To Solve One Step Equations

Example Question #154 : How To Solve One Step Equations

Example Question #155 : How To Solve One Step Equations

Example Question #156 : How To Solve One Step Equations

Example Question #157 : How To Solve One Step Equations

Example Question #158 : How To Solve One Step Equations

Example Question #159 : How To Solve One Step Equations

Example Question #160 : How To Solve One Step Equations

All Algebra 1 Resources

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