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Algebra 1 : How to solve two-step equations

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Example Questions

Example Question #71 : How To Solve Two Step Equations

Solve for .

0.9x+0.1=-1.7

Possible Answers:

-0.2

-0.02

-1.8

Correct answer:

Explanation:

0.9x+0.1=-1.7

Subtract 0.1 from both sides. Since we are essentially adding two negative numbers, we will treat the right side of the equation as an addition problem and put a negative sign afterwards. Remember to line up all the decimal points together.

0.9x+0.1-0.1=-(1.7+0.1)

0.9x=-1.8

Divide both sides by 0.9 .

$\frac{0.9x}{0.9}=\frac{-1.8}{0.9}$

When we divide a negative number by a positive number the answer is always negative. Since we are dealing with decimals, we can make it easier to divide by shifting the decimal point by one place on the top and bottom of the division bar.

We now have:

$x=\frac{-1.8}{0.9}=-\frac{18}{9}$

x=-2

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Example Question #72 : How To Solve Two Step Equations

Solve for .

$9-\frac{x}{2}=-2$

Possible Answers:

Correct answer:

Explanation:

$9-\frac{x}{2}=-2$

Subtract from both sides. Since we are essentially adding two negative numbers, we will treat the right side of the equation as an addition problem and put a negative sign afterwards.

$9-9-\frac{x}{2}=-(2+9)$
$-11=-\frac{x}{2}$

Multiply both sides by . When we multiply a negative number by a negative number the answer is always positive.

$-2(-11)=\left ( -\frac{x}{2}\right )(-2)$

When we multiply a negative number by a negative number the answer is always positive.

x=22

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Example Question #605 : Linear Equations

Solve for .

$\frac{132}{x}=4$

Possible Answers:

264

528

Correct answer:

Explanation:

$\frac{132}{x}=4$

Multiply both sides by .

$\left (\frac{132}{x} \right )x=4(x)$

4x=132

Divide both sides by .

$\frac{4x}{4}=\frac{132}{4}$

x=33

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Example Question #606 : Linear Equations

Solve the equation for .

3x-2=x+6

Possible Answers:

x=1

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

x=-10

x=0

x=4

Correct answer:

x=4

Explanation:

To solve for x, get the variable onto one side of the equal sign and the nonvariables onto the other side of the equal side.

3x-2=x+6

3x-x=6+2

2x=8

Now divide by two to solve for x.

x=4

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Example Question #607 : Linear Equations

Solve for :

2x+5=27

Possible Answers:

x=11

x=8

x=-4

x=9

Correct answer:

x=11

Explanation:

2x+5=27

Subtract from both sides of the equation.

2x+5-5=27-5

2x=22

Divide both sides of the equation by .

$\frac{2x}{2}=\frac{22}{2}$

x=11

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Example Question #608 : Linear Equations

Solve for :

1-2x=7

Possible Answers:

x=-3

x=-1

x=3

x=4

Correct answer:

x=-3

Explanation:

1-2x=7

Subtract from both sides of the equation.

1-1-2x=7-1

-2x=6

Divide both sides of the equation by .

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

x=-3

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Example Question #609 : Linear Equations

Solve for :

-5+3y=19

Possible Answers:

y=0

$y=\frac{14}{3}$

y=8

y=-2

Correct answer:

y=8

Explanation:

-5+3y=19

Add to both sides of the equation.

-5+5+3y=19+5

3y=24

Divide both sides of the equation by .

$\frac{3y}{3}=\frac{24}{3}$

y=8

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Example Question #610 : Linear Equations

Solve for :

6z+10=70

Possible Answers:

$z=\frac{40}{3}$

z=13

z=10

z=21

Correct answer:

z=10

Explanation:

6z+10=70

Subtract from both sides of the equation.

6z+10-10=70-10

6z=60

Divide both sides of the equation by .

$\frac{6z}{6}=\frac{60}{6}$

z=10

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Example Question #611 : Linear Equations

Solve for :

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

Possible Answers:

x=-6

x=12

x=-3

x=18

Correct answer:

x=18

Explanation:

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

Add to both sides of the equation.

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

$\frac{1}{2}x=9$

Multiply both sides of the equation by .

$\frac{1}{2}x(2)=9(2)$

x=18

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Example Question #612 : Linear Equations

Solve for :

$\frac{1}{5}a-7=-2$

Possible Answers:

a=25

a=-45

a=21

a=12

Correct answer:

a=25

Explanation:

$\frac{1}{5}a-7=-2$

Add to both sides of the equation.

$\frac{1}{5}a-7+7=-2+7$

$\frac{1}{5}a=5$

Multiply both sides of the equation by .

$\frac{1}{5}a(5)=5(5)$

a=25

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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 #71 : How To Solve Two Step Equations

Example Question #72 : How To Solve Two Step Equations

Example Question #605 : Linear Equations

Example Question #606 : Linear Equations

Example Question #607 : Linear Equations

Example Question #608 : Linear Equations

Example Question #609 : Linear Equations

Example Question #610 : Linear Equations

Example Question #611 : Linear Equations

Example Question #612 : Linear Equations

All Algebra 1 Resources

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