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Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #231 : How To Solve One Step Equations

Solve for .

$\frac{x}{3}+7=9$

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate it on the left side of the equation. We will do this by performing the same operations to both sides of the given equation:

$\frac{x}{3}+7=9$

Subtract from both sides of the equation.

$\frac{x}{3}+7-7=9-7$

Simplify.

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

Multiply both sides of the equation by .

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

Solve

x=6

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Example Question #231 : Algebra 1

Solve for :

$\frac{1}{2}x=6$ .

Possible Answers:

Correct answer:

Explanation:

In order to solve for in the above equation, we must isolate it on one side of the equation. We can do this by applying an operation to that is the inverse (opposite) of what's currently being applied to .

Given $\frac{1}{2}x=6$ , we see that is being multiplied by $\frac{1}{2}$ , so we need to divide both sides of the equation by $\frac{1}{2}$ (or, equivalently, multiply by ) to isolate :

$\frac{1}{2}x=6$

$(2)\frac{1}{2}x=(2)6$

x=12

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Example Question #231 : How To Solve One Step Equations

Solve for :

5x=3 .

Possible Answers:

$\frac{3}{5}$

$-\frac{5}{3}$

None of the above

$\frac{5}{3}$

$-\frac{3}{5}$

Correct answer:

$\frac{3}{5}$

Explanation:

Given 5x=3 , we see that is being multiplied by , so we need to divide both sides of the equation by to isolate :

5x=3

$\frac{5x}{5}=\frac{3}{5}$

$x=\frac{3}{5}$

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Example Question #234 : Linear Equations

Solve for :

x-4=10 .

Possible Answers:

Correct answer:

Explanation:

Given x-4=10 , we see that is being subtracted from , so we need to add to both sides of the equation to isolate :

x-4=10

x-4+4=10+4

x=14

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Example Question #231 : Algebra 1

Solve for .

x+7=32

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate it on the left side of the equation. We will do this by performing the same operations to both sides of the given equation:

x+7=32

Subtract from both sides of the equation.

x+7-7=32-7

Solve.

x=25

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Example Question #234 : How To Solve One Step Equations

Solve for .

x+14=1

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate it on the left side of the equation. We will do this by performing the same operations to both sides of the given equation:

x+14=1

Subtract from both sides of the equation.

x+14-14=1-14

Since is greater than and is negative, our answer is negative. We will treat this operation as a subtraction problem.

x=-(14-1)

Solve.

x=-13

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Example Question #232 : How To Solve One Step Equations

Solve for .

x+1.4=3.1

Possible Answers:

4.5

3.2

-1.7

-4.5

1.7

Correct answer:

1.7

Explanation:

In order to solve for , we need to isolate it on the left side of the equation. We will do this by performing the same operations to both sides of the given equation:

x+1.4=3.1

Subtract 1.4 from both sides of the equation. Remember to line-up the decimals.

x+1.4-1.4=3.1-1.4

Solve.

x=1.7

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Example Question #233 : How To Solve One Step Equations

Solve for .

x-3=21

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate it on the left side of the equation. We will do this by performing the same operations to both sides of the given equation:

x-3=21

Add to both sides of the equaton.

x-3+3=21+3

Solve.

x=24

Report an Error

Example Question #231 : Linear Equations

Solve for .

x-15=-19

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate it on the left side of the equation. We will do this by performing the same operations to both sides of the given equation:

x-15=-19

Add to both sides of the equation.

x-15+15=-19+15

Since is greater than and is negative, our answer is negative. We will treat this operation as a subtraction problem.

x=-(19-15)

Solve.

x=-4

Report an Error

Example Question #235 : Algebra 1

Solve for .

x-9.5=1.4

Possible Answers:

10.9

-10.9

-8.1

5.7

8.1

Correct answer:

10.9

Explanation:

In order to solve for , we need to isolate it on the left side of the equation. We will do this by performing the same operations to both sides of the given equation:

x-9.5=1.4

Add 9.5 to both sides of the equation. Remember to line the decimals up.

x-9.5+9.5=1.4+9.5

Solve.

x=10.9

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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 #231 : How To Solve One Step Equations

Example Question #231 : Algebra 1

Example Question #231 : How To Solve One Step Equations

Example Question #234 : Linear Equations

Example Question #231 : Algebra 1

Example Question #234 : How To Solve One Step Equations

Example Question #232 : How To Solve One Step Equations

Example Question #233 : How To Solve One Step Equations

Example Question #231 : Linear Equations

Example Question #235 : Algebra 1

All Algebra 1 Resources

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