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High School Math : Pre-Algebra

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All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #66 : Algebraic Equations

Solve the following equation for :

4x = 20

Possible Answers:

x = 25

x = 4

x = 80

x = 16

x = 5

Correct answer:

x = 5

Explanation:

To solve this one-step algebraic equation, we use opposite operations. The variable in this equation is being multiplied by 4. The opposite operation to multiplication is division; therefore, we divide both sides of the equation by 4:

4x = 20

$\frac{4x}{4} = \frac{20}{4}$

x = 5

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Example Question #36 : How To Solve One Step Equations

Solve the following equation for :

$\frac{x}{5} = 10$

Possible Answers:

x = 50

x = 15

x = 2

x = 5

x = 20

Correct answer:

x = 50

Explanation:

To solve this one-step algebraic equation, we use opposite operations. The variable in this equation is being divided by 5. The opposite operation to division is multiplication; therefore, we multiply both sides of the equation by 5:

$\frac{x}{5} = 10$

$5\cdot \frac{x}{5} = 10\cdot 5$

x = 50

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Example Question #71 : Algebraic Equations

Solve the following equation for :

x-7=5

Possible Answers:

x=-12

$x=\frac{5}{7}$

x=35

x=12

x=-2

Correct answer:

x=12

Explanation:

To solve this one-step algebraic equation, we use opposite operations. The variable in this equation is being subtracted by 7. The opposite operation to subtraction is addition; therefore, we add 7 to both sides of the equation.

x-7=5

x-7+7=5+7

x=12

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Example Question #171 : Pre Algebra

Solve the following equation for :

x+7=-3

Possible Answers:

x = -10

x = 2

x = 10

x = 4

x = -4

Correct answer:

x = -10

Explanation:

To solve this one-step algebraic equation, we use opposite operations. The variable in this equation is being added to the number 7. The opposite operation to addition is subtraction; therefore, we subtract 7 from both sides of the equation.

x+7=-3

x+7-7=-3-7

x = -10

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Example Question #41 : How To Solve One Step Equations

Solve the following equation for :

-3x = -18

Possible Answers:

x=6

x=-6

x=2

x=-2

x=32

Correct answer:

x=6

Explanation:

To solve this one-step algebraic equation, we use opposite operations. The variable in this equation is being multiplied by the number . The opposite operation to multiplication is division; therefore, we divide both sides of the equation by .

-3x = -18

$\frac{-3x}{-3} =\frac{-18}{-3}$

x=6

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Example Question #42 : How To Solve One Step Equations

Solve the following equation for :

x-3=-4

Possible Answers:

x=1

x=2

x=7

x=-1

x=-7

Correct answer:

x=-1

Explanation:

To solve this one-step algebraic equation, we use opposite operations. The variable in this equation is being subtracted by the number 3. The opposite operation to subtraction is addition; therefore, we add 3 to both sides of the equation.

x-3=-4

x-3+3=-4+3

x=-1

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Example Question #75 : Algebraic Equations

Solve the following equation for :

-4z=16

Possible Answers:

z = -1

z = 4

z = 1

z = 2

z = -4

Correct answer:

z = -4

Explanation:

-4z=16

$\frac{-4z}{-4}=\frac{16}{-4}$

z = -4

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Example Question #76 : Algebraic Equations

Solve the following equation for :

$\frac{y}{3}=-1$

Possible Answers:

y=9

$y=-\frac{1}{3}$

y=-3

y=-2

y=3

Correct answer:

y=-3

Explanation:

To solve this one-step algebraic equation, we use opposite operations. The variable in this equation is being divided by the number 3. The opposite operation to division is multiplication; therefore, we multiply both sides of the equation by 3.

$\frac{y}{3}=-1$

$3\cdot \frac{y}{3}=-1\cdot 3$

y=-3

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Example Question #41 : How To Solve One Step Equations With Integers In Pre Algebra

Solve the following equation for :

x+5=4

Possible Answers:

x=-1

x=1

x=9

$x=-\frac{1}{9}$

x=-9

Correct answer:

x=-1

Explanation:

To solve this one-step algebraic equation, we use opposite operations. The variable in this equation is being added to the number 5. The opposite operation to addition is subtraction; therefore, we subtract 5 from both sides of the equation.

x+5=4

x+5-5=4-5

x=-1

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Example Question #42 : How To Solve One Step Equations With Integers In Pre Algebra

2x=3 .

Solve for .

Possible Answers:

$\frac{3}{2}$

$\frac{2}{3}$

Correct answer:

$\frac{3}{2}$

Explanation:

We want to isolate . That means we need to get just on the left side of the equation.

2x=3

Divide both sides by .

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

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

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High School Math : Pre-Algebra

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #66 : Algebraic Equations

Example Question #36 : How To Solve One Step Equations

Example Question #71 : Algebraic Equations

Example Question #171 : Pre Algebra

Example Question #41 : How To Solve One Step Equations

Example Question #42 : How To Solve One Step Equations

Example Question #75 : Algebraic Equations

Example Question #76 : Algebraic Equations

Example Question #41 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #42 : How To Solve One Step Equations With Integers In Pre Algebra

All High School Math Resources

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