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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 #431 : Algebra 1

Solve for x in the following equation:

$\frac{x}{-2} = -5$ $\displaystyle \frac{x}{-2} = -5$

Possible Answers:

x = -10 $\displaystyle x = -10$

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

x = 10 $\displaystyle x = 10$

x = 7 $\displaystyle x = 7$

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

Correct answer:

x = 10 $\displaystyle x = 10$

Explanation:

When solving for x, we want x to stand alone. In the equation

$\frac{x}{-2} = -5$ $\displaystyle \frac{x}{-2} = -5$

we want to solve for x, so we multiply both sides by -2. So,

$\frac{x}{-2} \cdot -2 = -5 \cdot -2$ $\displaystyle \frac{x}{-2} \cdot -2 = -5 \cdot -2$

x = -10 $\displaystyle x = -10$

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Example Question #431 : How To Solve One Step Equations

Solve for y in the following equation:

$\displaystyle -4y = 36$

Possible Answers:

y = 40 $\displaystyle y = 40$

y = -8 $\displaystyle y = -8$

y = 9 $\displaystyle y = 9$

y = -9 $\displaystyle y = -9$

y = 32 $\displaystyle y = 32$

Correct answer:

y = -9 $\displaystyle y = -9$

Explanation:

When solving for y, we want y to stand alone. In the equation

-4y=36 $\displaystyle -4y=36$

we want to solve for y, so we divide both sides by -4. So,

$\frac{-4y}{-4} = \frac{36}{-4}$ $\displaystyle \frac{-4y}{-4} = \frac{36}{-4}$

y = -9 $\displaystyle y = -9$

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Example Question #432 : Algebra 1

Solve for x in the following equation:

$\displaystyle -3x = -15$

Possible Answers:

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

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

x = 5 $\displaystyle x = 5$

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

x = 12 $\displaystyle x = 12$

Correct answer:

x = 5 $\displaystyle x = 5$

Explanation:

To solve for x, we want to get x to stand alone. In the equation

$\displaystyle -3x = -15$

we will divide both sides by -3. We get

$\frac{-3x}{-3} = \frac{-15}{-3}$ $\displaystyle \frac{-3x}{-3} = \frac{-15}{-3}$

x = 5 $\displaystyle x = 5$

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Example Question #431 : Algebra 1

Solve for $\displaystyle x$ : xyz = 6 $\displaystyle xyz = 6$

Possible Answers:

$\frac{6}{yz}$ $\displaystyle \frac{6}{yz}$

6-yz $\displaystyle 6-yz$

6yz $\displaystyle 6yz$

$\frac{6y}{z}$ $\displaystyle \frac{6y}{z}$

$\frac{6z}{y}$ $\displaystyle \frac{6z}{y}$

Correct answer:

$\frac{6}{yz}$ $\displaystyle \frac{6}{yz}$

Explanation:

In order to solve and isolate the $\displaystyle x$ variable, divide by $\displaystyle yz$ on both sides of the equation.

$\frac{xyz }{yz}= \frac{6}{yz}$ $\displaystyle \frac{xyz }{yz}= \frac{6}{yz}$

Simplify both sides. The left side will become x.

The answer is: $\frac{6}{yz}$ $\displaystyle \frac{6}{yz}$

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Example Question #435 : How To Solve One Step Equations

Solve for $\displaystyle x$ .

$\displaystyle x+30.1=47.8$

Possible Answers:

38.5 $\displaystyle 38.5$

79.7 $\displaystyle 79.7$

57.7 $\displaystyle 57.7$

77.9 $\displaystyle 77.9$

17.7 $\displaystyle 17.7$

Correct answer:

17.7 $\displaystyle 17.7$

Explanation:

$\displaystyle x+30.1=47.8$ Subtract 30.1 $\displaystyle 30.1$ on both sides.

x=17.7 $\displaystyle x=17.7$

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Example Question #433 : How To Solve One Step Equations

Solve for $\displaystyle x$ .

$\displaystyle x+29.6=4.3$

Possible Answers:

25.3 $\displaystyle 25.3$

-33.9 $\displaystyle -33.9$

33.9 $\displaystyle 33.9$

27.8 $\displaystyle 27.8$

-25.3 $\displaystyle -25.3$

Correct answer:

-25.3 $\displaystyle -25.3$

Explanation:

$\displaystyle x+29.6=4.3$ Subtract 29.6 $\displaystyle 29.6$ on both sides. Since 29.6 $\displaystyle 29.6$ is greater than 4.3 $\displaystyle 4.3$ and is negative, our answer is negative. We treat as a normal subtraction.

x=-25.3 $\displaystyle x=-25.3$

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Example Question #434 : How To Solve One Step Equations

Solve for $\displaystyle x$ .

$\displaystyle x+55.6=-43.6$

Possible Answers:

-67.8 $\displaystyle -67.8$

99.2 $\displaystyle 99.2$

12.0 $\displaystyle 12.0$

-12.0 $\displaystyle -12.0$

-99.2 $\displaystyle -99.2$

Correct answer:

-99.2 $\displaystyle -99.2$

Explanation:

$\displaystyle x+55.6=-43.6$ Subtract 55.6 $\displaystyle 55.6$ on both sides. When adding with another negative number, just treat as an addition problem and then add a negative sign in front.

x=-99.2 $\displaystyle x=-99.2$

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Example Question #431 : How To Solve One Step Equations

Solve for $\displaystyle x$ .

$\displaystyle x-108.3=312.8$

Possible Answers:

-421.1 $\displaystyle -421.1$

204.5 $\displaystyle 204.5$

-204.5 $\displaystyle -204.5$

306.7 $\displaystyle 306.7$

421.1 $\displaystyle 421.1$

Correct answer:

421.1 $\displaystyle 421.1$

Explanation:

$\displaystyle x-108.3=312.8$ Add 108.3 $\displaystyle 108.3$ on both sides.

x=421.1 $\displaystyle x=421.1$

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Example Question #432 : Algebra 1

Solve for $\displaystyle x$ .

$\displaystyle x-156.7=-167.8$

Possible Answers:

-11.1 $\displaystyle -11.1$

324.5 $\displaystyle 324.5$

211.9 $\displaystyle 211.9$

11.1 $\displaystyle 11.1$

-324.5 $\displaystyle -324.5$

Correct answer:

-11.1 $\displaystyle -11.1$

Explanation:

$\displaystyle x-156.7=-167.8$ Add 156.7 $\displaystyle 156.7$ on both sides. Since 167.8 $\displaystyle 167.8$ is greater than 156.7 $\displaystyle 156.7$ and is negative, our answer is negative. We treat as a normal subtraction.

x=-11.1 $\displaystyle x=-11.1$

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Example Question #435 : How To Solve One Step Equations

Solve for $\displaystyle x$ .

$\displaystyle x-88.3=-13.9$

Possible Answers:

-74.4 $\displaystyle -74.4$

-102.2 $\displaystyle -102.2$

-77.7 $\displaystyle -77.7$

102.2 $\displaystyle 102.2$

74.4 $\displaystyle 74.4$

Correct answer:

74.4 $\displaystyle 74.4$

Explanation:

$\displaystyle x-88.3=-13.9$ Add 88.3 $\displaystyle 88.3$ on both sides. Since 88.3 $\displaystyle 88.3$ is greater than 13.9 $\displaystyle 13.9$ and is positive, our answer is positive. We treat as a normal subtraction.

x=74.4 $\displaystyle x=74.4$

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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 #431 : Algebra 1

Example Question #431 : How To Solve One Step Equations

Example Question #432 : Algebra 1

Example Question #431 : Algebra 1

Example Question #435 : How To Solve One Step Equations

Example Question #433 : How To Solve One Step Equations

Example Question #434 : How To Solve One Step Equations

Example Question #431 : How To Solve One Step Equations

Example Question #432 : Algebra 1

Example Question #435 : How To Solve One Step Equations

All Algebra 1 Resources

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