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Algebra 1 : Linear Equations

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Example Questions

Example Question #191 : How To Solve One Step Equations

Solve for :

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

Possible Answers:

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

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

$x=-\frac{4}{5}$

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

Correct answer:

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

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.

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

Subtract $\frac{1}{2}$ from both sides of the equation.

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

In order to subtract fractions, find a common denominator and solve.

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

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

Simplify.

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

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Example Question #192 : Linear Equations

Solve for :

2x=-1.8

Possible Answers:

x=-2.8

x=-0.9

x=-3.6

x=2.4

Correct answer:

x=-0.9

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.

2x=-1.8

Divide both sides of the equation by .

$\frac{2x}{2}=\frac{-1.8}{2}$

Simplify.

x=-0.9

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Example Question #192 : How To Solve One Step Equations

Solve for :

$\frac{x}{10}=0.2$

Possible Answers:

x=2

x=20

x=0.02

x=10.2

Correct answer:

x=2

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.

$\frac{x}{10}=0.2$

Multiply both sides of the equation by .

$(10)\frac{x}{10}=0.2(10)$

Simplify.

x=2

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Example Question #191 : How To Solve One Step Equations

Solve: $a+1 = -\frac{1}{2}$

Possible Answers:

$-\frac{3}{2}$

$\frac{1}{2}$

$-\frac{1}{2}$

$\frac{2}{3}$

$\frac{3}{2}$

Correct answer:

$-\frac{3}{2}$

Explanation:

To isolate the variable, subtract one from both sides of the equation.

$a+1-(1) = -\frac{1}{2}-(1) = -\frac{1}{2}-\frac{2}{2}$

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

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Example Question #195 : Linear Equations

Solve for :

-95 + y = 10

Possible Answers:

105

110

Correct answer:

105

Explanation:

To solve -95 + y = 10 , simply isolate the variable on one side of the equation by adding to both sides of the equation. We have to add instead of subtracting because it is a negative value.

10 + 95 = 105

y = 105

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Example Question #196 : Linear Equations

Solve for :

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

Possible Answers:

x=-4

$x=\frac{20}{3}$

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

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

Correct answer:

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

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:

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

Multiply both sides of the equation by .

$\frac{4}{1}\times \frac{x}{4}=\frac{5}{6} \times \frac{4}{1}$

Simplify.

$x=\frac{20}{6}$

Reduce.

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

Report an Error

Example Question #197 : Linear Equations

Solve for :

a-10=-0.12

Possible Answers:

x=10.22

x=-9.28

a=-8.88

a=9.88

Correct answer:

a=9.88

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:

a-10=-0.12

Add to both sides of the equation.

a-10+10=-0.12+10

Remember that adding a negative number to a positive number is the same as subtracting a positive number.

a=10-0.12

Simplify.

a=9.88

Report an Error

Example Question #198 : Linear Equations

Solve for :

x-9=100

Possible Answers:

x=109

x=91

x=900

x=-91

Correct answer:

x=109

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:

x-9=100

Add to both sides of the equation.

x-9+9=100+9

Simplify.

x=109

Report an Error

Example Question #199 : Linear Equations

Solve for :

$\frac{x}{10}=-0.9$

Possible Answers:

x=-9

x=9

x=0.09

x=-90

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:

$\frac{x}{10}=-0.9$

Multiply both sides of the equation by .

$(10)\frac{x}{10}=-0.9(10)$

Simplify. Rmember that when a negative number is multiplied by a positive number, the answer is always negative.

x=-9

Report an Error

Example Question #200 : Linear Equations

Solve for :

$\frac{x}{24}=2$

Possible Answers:

x=48

$x=\frac{1}{6}$

x=12

$x=\frac{1}{12}$

Correct answer:

x=48

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:

$\frac{x}{24}=2$

Multiply both sides of the equation by .

$(24)\frac{x}{24}=2(24)$

Simplify.

x=48

Report an Error

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Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #191 : How To Solve One Step Equations

Example Question #192 : Linear Equations

Example Question #192 : How To Solve One Step Equations

Example Question #191 : How To Solve One Step Equations

Example Question #195 : Linear Equations

Example Question #196 : Linear Equations

Example Question #197 : Linear Equations

Example Question #198 : Linear Equations

Example Question #199 : Linear Equations

Example Question #200 : Linear Equations

All Algebra 1 Resources

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