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Algebra 1 : How to solve two-step equations

Study concepts, example questions & explanations for Algebra 1

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #632 : Algebra 1

Solve for :

7-2x=9

Possible Answers:

x=-10

x=8

x=-1

x=-8

Correct answer:

x=-1

Explanation:

7-2x=9

Subtract from both sides of the equation.

7-7-2x=9-7

-2x=2

Divide both sides of the equation by .

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

x=-1

Report an Error

Example Question #633 : Algebra 1

Solve for :

12-3x=15

Possible Answers:

x=9

x=-1

x=-3

x=8

Correct answer:

x=-1

Explanation:

12-3x=15

Subtract from both sides of the equation.

12-12-3x=15-12

-3x=3

Divide both sides of the equation by .

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

x=-1

Report an Error

Example Question #634 : Algebra 1

Solve for :

$\frac{4}{5}y+10=20$

Possible Answers:

$y=\frac{25}{2}$

$y=\frac{35}{2}$

y=15

$y=\frac{55}{2}$

Correct answer:

$y=\frac{25}{2}$

Explanation:

$\frac{4}{5}y+10=20$

Subtract from both sides of the equation.

$\frac{4}{5}y+10-10=20-10$

$\frac{4}{5}y=10$

Divide both sides of the equation by $\frac4{}5{}$ . Remember that dividing by a fraction is the same as multiplying by its reciprocal; therefore, multiply both sides by $\frac{5}{4}$ .

$\left ( \frac{5}{4} \right )\frac{4}{5}y=\frac{10}{1}\left ( \frac{5}{4}\right )$

$y=\frac{50}{4}$

Reduce.

$y=\frac{25}{2}$

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Example Question #631 : Linear Equations

Solve for :

74-8x=250

Possible Answers:

x=25

x=-22

x=-24

x=29

Correct answer:

x=-22

Explanation:

74-8x=250

Subtract from both sides of the equation.

74-74-8x=250-74

-8x=176

Divide both sides of the equation by .

$\frac{-8x}{(-8)}=\frac{176}{(-8)}$

x=-22

Report an Error

Example Question #636 : Algebra 1

Solve for :

5x+9=-15

Possible Answers:

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

$x=-\frac{20}{9}$

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

$x=-\frac{24}{5}$

Correct answer:

$x=-\frac{24}{5}$

Explanation:

5x+9=-15

Subtract from both sides of the equation.

5x+9-9=(-15)-9

5x=-24

Divide both sides of the equation by .

$\frac{5x}{5}=\frac{(-24)}{5}$

$x=-\frac{24}{5}$

Report an Error

Example Question #637 : Algebra 1

Solve for :

$\frac{y+6}{3}=7$

Possible Answers:

y=15

y=17

y=-10

y=21

Correct answer:

y=15

Explanation:

$\frac{y+6}{3}=7$

Multiply both sides of the equation by .

$(3)\left (\frac{y+6}{3} \right )=7(3)$

y+6=21

Subtract from both sides of the equation.

y+6-6=21-6

y=15

Report an Error

Example Question #638 : Algebra 1

Solve for :

$\frac{x+1}{10}=-5$

Possible Answers:

x=-51

x=49

x=-29

x=50

Correct answer:

x=-51

Explanation:

$\frac{x+1}{10}=-5$

Multiply both sides of the equation by .

$(10)\left ( \frac{x+1}{10}\right )=-5(10)$

x+1=-50

Subtract from both sides of the equation.

x+1-1=(-50)-1

x=-51

Report an Error

Example Question #639 : Algebra 1

Solve for :

$\frac{y-2}{9}=-3$

Possible Answers:

y=-20

y=-27

y=-25

y=-24

Correct answer:

y=-25

Explanation:

$\frac{y-2}{9}=-3$

Multiply both sides of the equation by .

$(9)\left ( \frac{y-2}{9}\right )=-3(9)$

y-2=-27

Add to both sides of the equation.

y-2+2=(-27)+2

y=-25

Report an Error

Example Question #641 : Algebra 1

Solve for :

$\frac{z+1}{4}=2$

Possible Answers:

z=6

z=9

x=7

z=2

Correct answer:

x=7

Explanation:

$\frac{z+1}{4}=2$

Multiply both sides of the equation by .

$(4)\left ( \frac{z+1}{4}\right )=2(4)$

z+1=8

Subtract from both sides of the equation.

z+1-1=8-1

z=7

Report an Error

Example Question #642 : Algebra 1

Solve for :

$\frac{z-9}{5}=-2$

Possible Answers:

z=-1

z=-4

z=-2

z=-19

Correct answer:

z=-1

Explanation:

$\frac{z-9}{5}=-2$

Multiply both sides of the equation by .

$(5)\left ( \frac{z-9}{5}\right )=-2(5)$

z-9=-10

Add to both sides of the equation.

z-9+9=(-10)+9

z=-1

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 #632 : Algebra 1

Example Question #633 : Algebra 1

Example Question #634 : Algebra 1

Example Question #631 : Linear Equations

Example Question #636 : Algebra 1

Example Question #637 : Algebra 1

Example Question #638 : Algebra 1

Example Question #639 : Algebra 1

Example Question #641 : Algebra 1

Example Question #642 : Algebra 1

All Algebra 1 Resources

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