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Algebra 1 : Algebra 1

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:

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

Possible Answers:

x = 7

x = -3

x = -7

x = -10

x = 10

Correct answer:

x = 10

Explanation:

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

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

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

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

x = -10

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Example Question #432 : Algebra 1

Solve for y in the following equation:

-4y = 36

Possible Answers:

y = 32

y = -9

y = 40

y = 9

y = -8

Correct answer:

y = -9

Explanation:

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

-4y=36

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

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

y = -9

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Example Question #433 : Algebra 1

Solve for x in the following equation:

-3x = -15

Possible Answers:

x = 12

x = 5

x = -18

x = -5

x = -12

Correct answer:

x = 5

Explanation:

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

-3x = -15

we will divide both sides by -3. We get

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

x = 5

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Example Question #434 : Algebra 1

Solve for : xyz = 6

Possible Answers:

$\frac{6z}{y}$

6yz

6-yz

$\frac{6y}{z}$

$\frac{6}{yz}$

Correct answer:

$\frac{6}{yz}$

Explanation:

In order to solve and isolate the variable, divide by on both sides of the equation.

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

Simplify both sides. The left side will become x.

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

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Example Question #431 : How To Solve One Step Equations

Solve for .

x+30.1=47.8

Possible Answers:

79.7

77.9

38.5

17.7

57.7

Correct answer:

17.7

Explanation:

x+30.1=47.8 Subtract 30.1 on both sides.

x=17.7

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Example Question #436 : Algebra 1

Solve for .

x+29.6=4.3

Possible Answers:

25.3

27.8

33.9

-25.3

-33.9

Correct answer:

-25.3

Explanation:

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

x=-25.3

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Example Question #437 : Algebra 1

Solve for .

x+55.6=-43.6

Possible Answers:

99.2

12.0

-99.2

-67.8

-12.0

Correct answer:

-99.2

Explanation:

x+55.6=-43.6 Subtract 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

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Example Question #431 : How To Solve One Step Equations

Solve for .

x-108.3=312.8

Possible Answers:

-204.5

-421.1

306.7

421.1

204.5

Correct answer:

421.1

Explanation:

x-108.3=312.8 Add 108.3 on both sides.

x=421.1

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Example Question #439 : Algebra 1

Solve for .

x-156.7=-167.8

Possible Answers:

11.1

324.5

-324.5

211.9

-11.1

Correct answer:

-11.1

Explanation:

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

x=-11.1

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Example Question #440 : Algebra 1

Solve for .

x-88.3=-13.9

Possible Answers:

-77.7

74.4

-102.2

102.2

-74.4

Correct answer:

74.4

Explanation:

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

x=74.4

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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #431 : Algebra 1

Example Question #432 : Algebra 1

Example Question #433 : Algebra 1

Example Question #434 : Algebra 1

Example Question #431 : How To Solve One Step Equations

Example Question #436 : Algebra 1

Example Question #437 : Algebra 1

Example Question #431 : How To Solve One Step Equations

Example Question #439 : Algebra 1

Example Question #440 : Algebra 1

All Algebra 1 Resources

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