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Algebra 1 : How to solve one-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 #181 : Linear Equations

Solve for :

$\frac{x}{-1.6}=9.6$

Possible Answers:

-153.6

-15.36

15.36

Correct answer:

-15.36

Explanation:

$\frac{x}{-1.6}=9.6$

Multiply both sides of the equation by -1.6 .

$(-1.6)\frac{x}{-1.6}=9.6(-1.6)$

After getting the product, remember to count the decimal places in both numbers. There are a total of two decimal places so we put the decimal between and . Since we multiplying one positive number with a negative number, our answer should be negative.

x=-15.36

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Example Question #182 : How To Solve One Step Equations

Solve for :

0.1x=5

Possible Answers:

x=1.5

x=0.5

x=-0.6

x=50

Correct answer:

x=50

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

0.1x=5

Divide both sides of the equation by 0.1 .

$\frac{0.1x}{0.1}=\frac{5}{0.1}$

Decimals may be written as fractions.

$0.1=\frac{1}{10}$

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

Substitute and solve.

$x=\frac{5}{1}\times\frac{10}{1}$

x=50

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Example Question #183 : How To Solve One Step Equations

Solve for :

$\frac{2}{3}x=40$

Possible Answers:

$x=\frac{1}{60}$

$x=\frac{80}{3}$

x=40

x=60

Correct answer:

x=60

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

$\frac{2}{3}x=40$

Multiply both sides of the equation by the reciprocal of $\frac{2}{3}$ .

$\frac{2}{3}\rightarrow \frac{3}{2}$

Solve.

$\frac{3}{2}\times\frac{2}{3}x=\frac{40}{1}\times\frac{3}{2}$

$x=\frac{120}{2}$

Simplify.

x=60

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Example Question #181 : Linear Equations

Solve for :

7x=-217

Possible Answers:

x=-27

x=-29

x=-31

x=-33

Correct answer:

x=-31

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

7x=-217

Divide both sides of the equation by .

$\frac{7x}{7}=\frac{-217}{7}$

Solve.

x=-31

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Example Question #181 : Linear Equations

Solve for :

$\frac{1}{12}x=-\frac{11}{16}$

Possible Answers:

x=-8

x=121

$\frac{11}{192}$

$x=-\frac{33}{4}$

Correct answer:

$x=-\frac{33}{4}$

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

$\frac{1}{12}x=-\frac{11}{16}$

Multiply both sides of the equation by .

$(12)\frac{1}{12}x=-\frac{11}{16}\times\frac{12}{1}$

Solve.

$x=-\frac{132}{16}$

Reduce.

$x=-\frac{33}{4}$

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Example Question #186 : How To Solve One Step Equations

Solve for :

x-5=0.7

Possible Answers:

x=-0.7

x=-4.3

x=5.7

x=5

Correct answer:

x=5.7

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

x-5=0.7

Add to both sides of the equation.

x-5+5=0.7+5

Simplify.

x=5.7

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Example Question #182 : How To Solve One Step Equations

Solve for :

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

Possible Answers:

x=-13

x=-30

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

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

Correct answer:

x=-30

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

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

Multiply both sides of the equation by .

$(3)\frac{x}{3}=-10(3)$

Simplify.

x=-30

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Example Question #181 : How To Solve One Step Equations

Solve for :

$\frac{x}{9}=-\frac{1}{5}$

Possible Answers:

$x=-\frac{9}{5}$

x=-45

x=-4

$x=-\frac{1}{45}$

Correct answer:

$x=-\frac{9}{5}$

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

$\frac{x}{9}=-\frac{1}{5}$

Multiply both sides of the equation by .

$(9)\frac{x}{9}=-\frac{1}{5}\times\frac{9}{1}$

Simplify.

$x=-\frac{9}{5}$

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Example Question #182 : Algebra 1

Solve for :

x-9=-1.2

Possible Answers:

x=6.8

x=-10.2

x=11.2

x=7.8

Correct answer:

x=7.8

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

x-9=-1.2

Add to both sides of the equation.

x-9+9=-1.2+9

Adding a negative number is the same as subtracting a positive number.

x=9-1.2

Simplify.

x=7.8

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Example Question #190 : How To Solve One Step Equations

Solve for :

$\frac{1}{5}x=-0.1$

Possible Answers:

x=-0.02

x=-0.5

x=-2

x=0.5

Correct answer:

x=-0.5

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

$\frac{1}{5}x=-0.1$

Multiply both sides of the equation by .

$(5)\frac{1}{5}x=-0.1(5)$

Simplify.

x=-0.5

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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 #181 : Linear Equations

Example Question #182 : How To Solve One Step Equations

Example Question #183 : How To Solve One Step Equations

Example Question #181 : Linear Equations

Example Question #181 : Linear Equations

Example Question #186 : How To Solve One Step Equations

Example Question #182 : How To Solve One Step Equations

Example Question #181 : How To Solve One Step Equations

Example Question #182 : Algebra 1

Example Question #190 : How To Solve One Step Equations

All Algebra 1 Resources

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