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Pre-Algebra : One-Step Equations with Integers

Study concepts, example questions & explanations for Pre-Algebra

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11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #32 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

-x=4-2x

Solve for .

Possible Answers:

Correct answer:

Explanation:

Add 2x to each side to get all variables on one side:

-x=4-2x

+2x +2x

x=4

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Example Question #31 : One Step Equations

32s=128

Solve for .

Possible Answers:

Correct answer:

Explanation:

To isolate the variable "s" from the expression 32s, divide both sides of the equation by 32. 128/32=4, so s=4

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Example Question #32 : One Step Equations

-3652+y=1372

Solve for .

Possible Answers:

2280

5024

Correct answer:

5024

Explanation:

Add 3625 to each side to isolate y. This gives you the answer 5024

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Example Question #33 : One Step Equations

Solve: $\frac{x}{10} = 100$

Possible Answers:

1000

110

$\frac{1}{10}$

Correct answer:

1000

Explanation:

To solve for , multiply ten on both sides of the equation to eliminate the denominator.

$\frac{x}{10} \times 10= 100\times 10$

x=1000

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Example Question #34 : One Step Equations

solve for :

x+15=7

Possible Answers:

x=22

x=8

x=-8

x=-22

None of the other answers.

Correct answer:

x=-8

Explanation:

To solve for x you simply isolate it on one side of the equation. To do this, apply the opposite operations to manipulate the equation.

x+15=7

Subtract 15 from both sides:

$x{\color{Red} +15-15}=7-15$

The red terms canceled.

x=7-15

We just subtract as normal on the right side.

x=-8

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Example Question #35 : One Step Equations

Solve: $\frac{x}{8}=8$

Possible Answers:

$\frac{1}{16}$

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To eliminate the fraction, multiply both sides by eight to cancel the denominator.

$\frac{x}{8} \times 8=8\times 8$

x=64

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Example Question #38 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve: -2x= -26

Possible Answers:

$\frac{1}{13}$

$-\frac{1}{13}$

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Divide both sides by negative two.

$\frac{-2x}{-2}= \frac{-26}{-2}$

Simplify. A double negative will eliminate each other when dividing.

x=13

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Example Question #38 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve for :

5-x-6=0

Possible Answers:

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To determine what the unknown variable is in this particular equation, add on both sides of the equation.

5-x-6 + (x)=0 + (x)

x=5-6= -1

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Example Question #36 : One Step Equations

Solve: 9x = 40

Possible Answers:

$\frac{40}{9}$

$\frac{9}{40}$

360

Correct answer:

$\frac{40}{9}$

Explanation:

To isolate the variable, divide both sides of the equation by nine.

$\frac{9x }{9}= \frac{40}{9}$

$x=\frac{40}{9}$

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Example Question #37 : One Step Equations

Solve: -6 +x =75

Possible Answers:

$-\frac{25}{2}$

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To isolate the unknown variable, add six on both sides.

-6 +x +6=75+6

x=81

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Pre-Algebra : One-Step Equations with Integers

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #32 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Example Question #31 : One Step Equations

Example Question #32 : One Step Equations

Example Question #33 : One Step Equations

Example Question #34 : One Step Equations

Example Question #35 : One Step Equations

Example Question #38 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Example Question #38 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Example Question #36 : One Step Equations

Example Question #37 : One Step Equations

All Pre-Algebra Resources

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