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High School Math : How to solve one-step equations with integers in pre-algebra

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Example Questions

Example Question #21 : How To Solve One Step Equations With Integers In Pre Algebra

2x=4 $\displaystyle 2x=4$

Solve for $\displaystyle x$.

Possible Answers:

$\displaystyle 8$

$\displaystyle 4$

$\displaystyle 1$

$\displaystyle 2$

$\displaystyle 6$

Correct answer:

$\displaystyle 2$

Explanation:

To solve 2x=4 $\displaystyle 2x=4$, we need to isolate $\displaystyle x$. That means we need to divide both sides by $\displaystyle 2$.

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

x=2 $\displaystyle x=2$

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Example Question #22 : How To Solve One Step Equations With Integers In Pre Algebra

5x=13 $\displaystyle 5x=13$

Solve for $\displaystyle x$.

Possible Answers:

$\displaystyle 18$

$13\tfrac{1}{5}$ $\displaystyle 13\tfrac{1}{5}$

$3\tfrac{2}{5}$ $\displaystyle 3\tfrac{2}{5}$

$1\tfrac{1}{3}$ $\displaystyle 1\tfrac{1}{3}$

$2\tfrac{3}{5}$ $\displaystyle 2\tfrac{3}{5}$

Correct answer:

$2\tfrac{3}{5}$ $\displaystyle 2\tfrac{3}{5}$

Explanation:

To solve 5x=13 $\displaystyle 5x=13$, we need to isolate $\displaystyle x$. That means we have to divide both sides by $\displaystyle 5$.

$\frac{5x}{5}=\frac{13}{5}$ $\displaystyle \frac{5x}{5}=\frac{13}{5}$

$x=\frac{13}{5}$ $\displaystyle x=\frac{13}{5}$

$\frac{13}{5}$ $\displaystyle \frac{13}{5}$ is an improper fraction, so convert it to $2\tfrac{3}{5}$ $\displaystyle 2\tfrac{3}{5}$.

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Example Question #23 : How To Solve One Step Equations With Integers In Pre Algebra

x+12=32 $\displaystyle x+12=32$

Solve for $\displaystyle x$.

Possible Answers:

384 $\displaystyle 384$

$\displaystyle 20$

$2\tfrac{2}{3}$ $\displaystyle 2\tfrac{2}{3}$

$\displaystyle 44$

$\displaystyle 10$

Correct answer:

$\displaystyle 20$

Explanation:

To solve x+12=32 $\displaystyle x+12=32$, isolate $\displaystyle x$. That means subtracting $\displaystyle 12$ from both sides.

x+12=32 $\displaystyle x+12=32$

$\displaystyle x+12-12=32-12$

x=32-12 $\displaystyle x=32-12$

x=20 $\displaystyle x=20$

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Example Question #24 : How To Solve One Step Equations With Integers In Pre Algebra

2x=16 $\displaystyle 2x=16$

Solve for $\displaystyle x$.

Possible Answers:

$\displaystyle 16$

$\displaystyle 32$

$\displaystyle 14$

$\displaystyle 18$

$\displaystyle 8$

Correct answer:

$\displaystyle 8$

Explanation:

To solve 2x=16 $\displaystyle 2x=16$, we need to isolate $\displaystyle x$. That means we need to divide both sides by $\displaystyle 2$.

2x=16 $\displaystyle 2x=16$

$\frac{2x}{2}=\frac{16}{2}$ $\displaystyle \frac{2x}{2}=\frac{16}{2}$

$x=\frac{16}{2}$ $\displaystyle x=\frac{16}{2}$

x=8 $\displaystyle x=8$

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Example Question #25 : How To Solve One Step Equations With Integers In Pre Algebra

$\frac{x}{2}=12$ $\displaystyle \frac{x}{2}=12$

Solve for $\displaystyle x$.

Possible Answers:

$\displaystyle 10$

$\displaystyle 12$

$\displaystyle 14$

$\displaystyle 24$

$\displaystyle 6$

Correct answer:

$\displaystyle 24$

Explanation:

To solve $\frac{x}{2}=12$ $\displaystyle \frac{x}{2}=12$, we need to multiply both sides by $\displaystyle 2$.

$\frac{x}{2}=12$ $\displaystyle \frac{x}{2}=12$

$2*\frac{x}{2}=12*2$ $\displaystyle 2*\frac{x}{2}=12*2$

x=12*2 $\displaystyle x=12*2$

x=24 $\displaystyle x=24$

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Example Question #26 : How To Solve One Step Equations With Integers In Pre Algebra

x-4=22 $\displaystyle x-4=22$

Solve for $\displaystyle x$.

Possible Answers:

$\displaystyle 18$

$\displaystyle 11$

$\displaystyle 88$

$\displaystyle 26$

$5\tfrac{1}{2}$ $\displaystyle 5\tfrac{1}{2}$

Correct answer:

$\displaystyle 26$

Explanation:

To solve x-4=22 $\displaystyle x-4=22$, add $\displaystyle 4$ to both sides to isolate our variable.

$\displaystyle 4+x-4=22+4$

x=22+4 $\displaystyle x=22+4$

x=26 $\displaystyle x=26$

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Example Question #27 : How To Solve One Step Equations With Integers In Pre Algebra

$\displaystyle x+49=300$

Solve for $\displaystyle x$.

Possible Answers:

249 $\displaystyle 249$

351 $\displaystyle 351$

251 $\displaystyle 251$

259 $\displaystyle 259$

349 $\displaystyle 349$

Correct answer:

251 $\displaystyle 251$

Explanation:

To solve for $\displaystyle x$, we need to isolate our variable. That means that we want ONLY the $\displaystyle x$ on the left side of the equation.

$\displaystyle x+49=300$

Subtract $\displaystyle 49$ from both sides.

$\displaystyle x+49-49=300-49$

$\displaystyle x=300-49$

x=251 $\displaystyle x=251$

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Example Question #28 : How To Solve One Step Equations With Integers In Pre Algebra

x+18=4 $\displaystyle x+18=4$

Solve for $\displaystyle x$.

Possible Answers:

$\displaystyle 14$

$\displaystyle 22$

$\frac{2}{9}$ $\displaystyle \frac{2}{9}$

$\displaystyle -22$

$\displaystyle -14$

Correct answer:

$\displaystyle -14$

Explanation:

To solve for $\displaystyle x$, we need to isolate our variable. That means that we want ONLY the $\displaystyle x$ on the left side of the equation.

x+18=4 $\displaystyle x+18=4$

Subtract $\displaystyle 18$ from both sides.

$\displaystyle x+18-18=4-18$

x=4-18 $\displaystyle x=4-18$

x=-14 $\displaystyle x=-14$

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Example Question #29 : How To Solve One Step Equations With Integers In Pre Algebra

2x=32 $\displaystyle 2x=32$

Solve for $\displaystyle x$.

Possible Answers:

$\displaystyle 34$

$\displaystyle 32$

$\displaystyle 16$

$\displaystyle 64$

$\displaystyle 30$

Correct answer:

$\displaystyle 16$

Explanation:

To solve for $\displaystyle x$, the first thing we need to do is isolate the variable. That means we want ONLY $\displaystyle x$ on the left side of the equation.

2x=32 $\displaystyle 2x=32$

Divide both sides by $\displaystyle 2$.

$\frac{2x}{2}=\frac{32}{2}$ $\displaystyle \frac{2x}{2}=\frac{32}{2}$

$x=\frac{32}{2}$ $\displaystyle x=\frac{32}{2}$

x=16 $\displaystyle x=16$

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Example Question #30 : How To Solve One Step Equations With Integers In Pre Algebra

x-25=5 $\displaystyle x-25=5$

Solve for $\displaystyle x$.

Possible Answers:

$\displaystyle 30$

$\displaystyle 20$

$\displaystyle 25$

$\displaystyle 5$

125 $\displaystyle 125$

Correct answer:

$\displaystyle 30$

Explanation:

To solve for $\displaystyle x$, we need to isolate our variable. That means that we want ONLY the $\displaystyle x$ on the left side of the equation.

x-25=5 $\displaystyle x-25=5$

Add $\displaystyle 25$ to both sides.

$\displaystyle x-25+25=5+25$

x=5+25 $\displaystyle x=5+25$

x=30 $\displaystyle x=30$

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High School Math : How to solve one-step equations with integers in pre-algebra

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #21 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #22 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #23 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #24 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #25 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #26 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #27 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #28 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #29 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #30 : How To Solve One Step Equations With Integers In Pre Algebra

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