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Algebra 1 : Linear 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 #41 : Algebra 1

Solve for .

x-(-18)=-33

Possible Answers:

Correct answer:

Explanation:

x-(-18)=-33

Subtracting a negative number is the same operation as adding a positive number. Thus, the left side of the equation can be written as follows:

x+18=-33

Subtract from both sides.

x+18-18=(-33)-18

Since we are subtracting from a negative number, we can rewrite the right side of the equation and treat it as an addition problem that adds a minus sign to the sum.

x=-(33+18)

x=-51

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Example Question #42 : Algebra 1

Solve for .

4x=84

Possible Answers:

192

Correct answer:

Explanation:

4x=84

Divide both sides by .

$\frac{4x}{4}=\frac{84}{4 }$

x=21

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Example Question #43 : Algebra 1

Solve for .

5x=-120

Possible Answers:

600

125

Correct answer:

Explanation:

5x=-120

Divide both sides by .

$\frac{5x}{5}=\frac{(-120)}{5}$

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

x=-24

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Example Question #41 : How To Solve One Step Equations

Solve for .

-7x=-161

Possible Answers:

1027

Correct answer:

Explanation:

-7x=-161

Divide both sides by .

$\frac{-7x}{-7}=\frac{(-161)}{-7}$

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

x=23

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Example Question #41 : Algebra 1

Solve for .

$\frac{x}{3}=26$

Possible Answers:

$\frac{26}{}3$

$\frac{-26}{3}$

Correct answer:

Explanation:

$\frac{x}{3}=26$

Multiply both sides by .

$\frac{x}{3}(3)=26(3)$

x=78

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Example Question #41 : How To Solve One Step Equations

Solve for .

$\frac{-x}{7}=13$

Possible Answers:

$\frac{13}{7}$

$\frac{-13}{7}$

Correct answer:

Explanation:

$\frac{-x}{7}=13$

Multiply both sides by .

$\frac{-x}{7}(7)=13(7)$

-x=91

Since there is a negative sign in front of the , we need to divide both sides by .

$\frac{-x}{-1}=\frac{91}{-1}$

When we divide a negative variable by a negative number the variable becomes positive. Likewise, when we divide a positive number by a negative number the answer is always negative.

x=-91 .

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Example Question #41 : How To Solve One Step Equations

Solve for

$\frac{-x}{-13}=-14$

Possible Answers:

276

$\frac{14}{13}$

182

$\frac{-14}{13}$

Correct answer:

Explanation:

$\frac{-x}{-13}=-14$

Multiply both sides by .

$\frac{-x}{-13}(-13)=-14(-13)$

Let's start with the right side of the equation. When we divide a negative variable with a negative number the answer is positive. We can rewrite the leftmost term as follows:

$\frac{-x}{-13}=\frac{x}{13}$

We can now rewrite the equation replacing $\frac{-x}{-13}$ with $\frac{x}{13}$ .

$\frac{x}{13}(-13)=-14(-13)$

When we multiply a positive term by a negative number the answer is always negative. Likewise, when we multiply a negative number by a negative number the answer is always positive.

-x=182

Since there is a negative sign in front of the , we need to divide both sides by .

$\frac{-x}{-1}=\frac{182}{-1}$

When we divide a negative variable by a negative number the variable becomes positive. Likewise, when we divide a positive number by a negative number the answer is always negative.

x=-182 .

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Example Question #42 : Algebra 1

Evaluate:

99a=33

Possible Answers:

$\frac{11}{3}$

$\frac{1}{33}$

$\frac{1}{3}$

$\frac{3}{11}$

Correct answer:

$\frac{1}{3}$

Explanation:

To isolate the variable, , divide both sides by 99. Then factor the numerator and denominator to find terms that will cancel out. Doing this will result in the simplified fraction and the correct answer.

99a=33

$a=\frac{33}{99}= \frac{11\times3}{11\times3\times3}=\frac{1}{3}$

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Example Question #41 : Linear Equations

Solve for :

a-9=10

Possible Answers:

a=20

a=19

a=1

a=2

Correct answer:

a=19

Explanation:

In order to solve for , we will need to isolate to one side of the equation.

Add to both sides of the equation.

a-9=10

a-9+9=10+9

a=19

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Example Question #42 : Linear Equations

Solve for :

b-4=-1

Possible Answers:

b=1

b=3

b=-5

b=5

Correct answer:

b=3

Explanation:

In order to solve for , we will need to isolate to one side of the equation.

Add to both sides of the equation.

b-4=-1

b-4+4=-1+4

b=3

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Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #41 : Algebra 1

Example Question #42 : Algebra 1

Example Question #43 : Algebra 1

Example Question #41 : How To Solve One Step Equations

Example Question #41 : Algebra 1

Example Question #41 : How To Solve One Step Equations

Example Question #41 : How To Solve One Step Equations

Example Question #42 : Algebra 1

Example Question #41 : Linear Equations

Example Question #42 : Linear Equations

All Algebra 1 Resources

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