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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 #101 : How To Solve One Step Equations

Solve for :

x+10=0.5

Possible Answers:

x=-0.5

x=-9.5

x=-8.5

x=10.5

Correct answer:

x=-9.5

Explanation:

In order to solve for , subtract from both sides of the equation.

x+10=0.5

x+10-10=0.5-10

x=-9.5

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Example Question #102 : How To Solve One Step Equations

Solve for :

x+6=-10

Possible Answers:

x=-16

x=14

x=4

x=-8

Correct answer:

x=-16

Explanation:

In order to solve for , subtract from both sides of the equation.

x+6=-10

x+6-6=-10-6

x=-16

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Example Question #103 : How To Solve One Step Equations

Solve for :

5b=2.5

Possible Answers:

b=0.25

b=10.25

b=1.25

b=0.5

Correct answer:

b=0.5

Explanation:

In order to solve for , divide both sides of the equation by .

5b=2.5

$\frac{5b}{5}=\frac{2.5}{5}$

b=0.5

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Example Question #104 : How To Solve One Step Equations

Solve for :

-6b=96

Possible Answers:

b=576

b=-16

b=-14

b=13

Correct answer:

b=-16

Explanation:

in order to solve for , divide both sides of the equation by .

-6b=96

$-6b \div (-6)=96\div (-6)$

b=-16

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Example Question #105 : How To Solve One Step Equations

Solve for :

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

Possible Answers:

b=-12

b=-6

b=4

b=-13.5

Correct answer:

b=-6

Explanation:

In order to solve for , divide both sides of the equation by $-\frac{3}{2}$ .

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

$-\frac{3}{2}b \div -\frac{3}{2}=9\div -\frac{3}{2}$

Dividing by a fraction is the same as multiplying by its reciprocal.

$b=\frac{9}{1}\times -\frac{2}{3}$

$b=-\frac{18}{3}$

b=-6

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Example Question #106 : How To Solve One Step Equations

Solve for :

$\frac{a}{6}=\frac{5}{4}$

Possible Answers:

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

$a=\frac{24}{5}$

$a=\frac{15}{2}$

$a=\frac{5}{24}$

Correct answer:

$a=\frac{15}{2}$

Explanation:

In order to solve for , multiply both sides of the equation by .

$\frac{a}{6}=\frac{5}{4}$

$\frac{a}{6}\times 6=\frac{5}{4}\times 6$

$a=\frac{30}{4}=\frac{15}{2}$

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Example Question #107 : How To Solve One Step Equations

Solve for :

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

Possible Answers:

a=2

a=4

a=3

$a=\frac{1}{3}$

Correct answer:

a=3

Explanation:

In order to solve for , multiply both sides of the equation by .

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

$\frac{a}{6}\times 6=\frac{1}{2}\times6$

a=3

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Example Question #108 : How To Solve One Step Equations

Solve for :

$\frac{a}{7}=1.4$

Possible Answers:

a=1.2

a=8.3

a=0.2

a=9.8

Correct answer:

a=9.8

Explanation:

In order to solve for , multiply both sides of the equation by .

$\frac{a}{7}=1.4$

$\frac{a}{7}\times 7=1.4 \times 7$

a=9.8

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Example Question #109 : How To Solve One Step Equations

Solve for :

x-2=12

Possible Answers:

x=14

x=10

x=6

x=8

Correct answer:

x=14

Explanation:

x-2=12

Add to both sides of the equation.

x-2+2=12+2

x=14

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Example Question #110 : How To Solve One Step Equations

Solve for :

$\frac{1}{4}x=22$

Possible Answers:

x=86

x=12

x=88

x=7

Correct answer:

x=88

Explanation:

$\frac{1}{4}x=22$

Multiply both sides of the equation by .

$(4)\frac{1}{4}x=22(4)$

x=88

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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 #101 : How To Solve One Step Equations

Example Question #102 : How To Solve One Step Equations

Example Question #103 : How To Solve One Step Equations

Example Question #104 : How To Solve One Step Equations

Example Question #105 : How To Solve One Step Equations

Example Question #106 : How To Solve One Step Equations

Example Question #107 : How To Solve One Step Equations

Example Question #108 : How To Solve One Step Equations

Example Question #109 : How To Solve One Step Equations

Example Question #110 : How To Solve One Step Equations

All Algebra 1 Resources

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