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Algebra 1 : How to solve two-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #151 : How To Solve Two Step Equations

Solve for :

4x+10=34

Possible Answers:

x=4

x=6

x=5

x=7

Correct answer:

x=6

Explanation:

In order to solve this equation, we have to isolate the variable on the left side of the equals sign. We will do this by performing the same operations to both sides of the equation:

4x+10=34

Subtract from both sides of the eqaution.

4x+10-10=34-10

4x=24

Divide both sides of the equation by .

$\frac{4x}{4}=\frac{24}{4}$

Simplify.

x=6

Report an Error

Example Question #684 : Algebra 1

Solve for :

$\frac{1}{3}x-2=\frac{2}{3}$

Possible Answers:

x=8

$x=\frac{10}{3}$

$x=\frac{13}{3}$

x=4

Correct answer:

x=8

Explanation:

In order to solve this equation, we have to isolate the variable on the left side of the equals sign. We will do this by performing the same operations to both sides of the equation:

$\frac{1}{3}x-2=\frac{2}{3}$

Add to both sides of the equation.

$\frac{1}{3}x-2+2=\frac{2}{3}+2$

Simplify the left side and find a common denominator to add the fractions on the right side of the equation.

$\frac{1}{3}x=\frac{2}{3}+\frac{6}{3}$

Simplify.

$\frac{1}{3}x=\frac{8}{3}$

Multiply both sides of the equation by .

$\frac{3}{1}\times \frac{1}{3}x=\frac{8}{3} \times \frac{3}{1}$

Simplify.

x=8

Report an Error

Example Question #685 : Algebra 1

Solve for :

5x-1=12

Possible Answers:

$x=\frac{11}{5}$

$x=\frac{12}{5}$

$x=\frac{13}{5}$

x=2

Correct answer:

$x=\frac{13}{5}$

Explanation:

In order to solve this equation, we have to isolate the variable on the left side of the equals sign. We will do this by performing the same operations to both sides of the equation:

5x-1=12

Add to both sides of the equation.

5x-1+1=12+1

5x=13

Divide both sides of the equation by .

$\frac{5x}{5}=\frac{13}{5}$

Simplify.

$x=\frac{13}{5}$

Report an Error

Example Question #686 : Algebra 1

Solve for :

-2x-2=16

Possible Answers:

x=9

x=-7

x=-8

x=-9

Correct answer:

x=-9

Explanation:

In order to solve this equation, we have to isolate the variable on the left side of the equals sign. We will do this by performing the same operations to both sides of the equation:

-2x-2=16

Add to both sides of the equation.

-2x-2+2=16+2

-2x=18

Divide both sides of the equation by .

$\frac{-2x}{-2}=\frac{18}{-2}$

Remember that when a positive number is divided by a negative number, the answer is always negative.

$x=-\frac{18}{2}$

Simplify.

x=-9

Report an Error

Example Question #687 : Algebra 1

Solve for :

12-3x=0

Possible Answers:

x=4

x=2

x=6

x=-4

Correct answer:

x=4

Explanation:

In order to solve this equation, we have to isolate the variable on the left side of the equals sign. We will do this by performing the same operations to both sides of the equation:

12-3x=0

Subtract from both sides of the equation.

12-12-3x=0-12

-3x=-12

Divide both sides of the equation by .

$\frac{-3x}{-3}=\frac{-12}{-3}$

Simplify. Remember that when a negative number is divided by a negative number, the answer is always positive.

x=4

Report an Error

Example Question #688 : Algebra 1

Solve for :

-9x=-900

Possible Answers:

x=-10

x=8100

x=-1000

x=100

Correct answer:

x=100

Explanation:

In order to solve this equation, we have to isolate the variable on the left side of the equals sign. We will do this by performing the same operations to both sides of the equation:

-9x=-900

Divide both sides by .

$\frac{-9x}{-9}=\frac{-900}{-9}$

Simplify. Remember that when a negative number is divided by a negative number, the answer is always positive.

x=100

Report an Error

Example Question #151 : How To Solve Two Step Equations

Solve for .

3x+5=41

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:

3x+5=41

Subtract from both sides of the equation.

3x+5-5=41-5

Simplify.

3x=36

Divide both sides of the equation by .

$\frac{3x}{3}=\frac{36}{3}$

Solve.

x=12

Report an Error

Example Question #152 : How To Solve Two Step Equations

Solve for .

4x+16=-20

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:

4x+16=-20

Subtract from both sides of the equation.

4x+16-16=-20-16

When subtracting a negative number from another negative number, we will treat it as an addition problem and then add a negative sign to the sum.

4x=-(20+16)

Simplify.

4x=-36

Divide both sides of the equation by .

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

Solve. When dividing a negative number by a positive number, our answer becomes negative.

x=-9

Report an Error

Example Question #151 : How To Solve Two Step Equations

Solve for .

10x+98=18

Possible Answers:

11.6

-11.6

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:

10x+98=18

Subtract from both sides of the equation.

10x+98-98=18-98

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

10x=-(98-18)

Simplify.

10x=-80

Divide both sides of the equation by .

$\frac{10x}{10}=\frac{-80}{10}$

Solve. When dividing a negative number by a positive number, our answer becomes negative.

x=-8

Report an Error

Example Question #152 : How To Solve Two Step Equations

Solve for .

$\frac{x}{6}+8=5$

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:

$\frac{x}{6}+8=5$

Subtract from both sides of the equation.

$\frac{x}{6}+8-8=5-8$

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

$\frac{x}{6}=-\left ( 8-5\right )$

Simplify.

$\frac{x}{6}=-3$

Multiply both sides of the equation by .

$(6)\frac{x}{6}=-3(6)$

Solve. When multiplying a negative number by a positive number, our answer is negative.

x=-18

Report an Error

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Algebra 1 : How to solve two-step equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #151 : How To Solve Two Step Equations

Example Question #684 : Algebra 1

Example Question #685 : Algebra 1

Example Question #686 : Algebra 1

Example Question #687 : Algebra 1

Example Question #688 : Algebra 1

Example Question #151 : How To Solve Two Step Equations

Example Question #152 : How To Solve Two Step Equations

Example Question #151 : How To Solve Two Step Equations

Example Question #152 : How To Solve Two Step Equations

All Algebra 1 Resources

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