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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 #239 : How To Solve Two Step Equations

Solve for .

1.3x+1.5=9.3

Possible Answers:

5.2

6.2

7.8

Correct answer:

Explanation:

1.3x+1.5=9.3 Subtract 1.5 on both sides.

1.3x=7.8 Divide 1.3 on both sides.

x=6

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Example Question #231 : How To Solve Two Step Equations

Solve for .

0.7x+12.5=4.8

Possible Answers:

-13.3

-9.8

-7.7

Correct answer:

Explanation:

0.7x+12.5=4.8 Subtract 12.5 on both sides. Since 12.5 is greater than 4.8 and is negative, our answer is negative. We treat as a normal subtraction.

0.7x=-7.7 Divide 0.7 on both sides. When dividing with a negative number, our answer is negative.

x=-11

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Example Question #771 : Linear Equations

Solve for .

-1.2x+9.1=22.3

Possible Answers:

-10.8

-13.2

-14.4

Correct answer:

Explanation:

-1.2x+9.1=22.3 Subtract 9.1 on both sides.

-1.2x=13.2 Divide -1.2 on both sides.

x=-11

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Example Question #771 : Linear Equations

Solve for .

$\frac{x}{2}-34=-13$

Possible Answers:

Correct answer:

Explanation:

$\frac{x}{2}-34=-13$ Add on both sides. Since is greater than and is positive, our answer is positive. We treat as a normal subtraction.

$\frac{x}{2}=21$ Multiply on both sides.

x=42

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Example Question #241 : How To Solve Two Step Equations

Solve for .

$\frac{13x}{9}+45=129$

Possible Answers:

$\frac{723}{13}$

$\frac{1204}{9}$

$\frac{756}{13}$

$\frac{965}{13}$

$\frac{1092}{13}$

Correct answer:

$\frac{756}{13}$

Explanation:

$\frac{13x}{9}+45=129$ Subtract on both sides.

$\frac{13x}{9}=84$ Multiply $\frac{9}{13}$ on both sides.

$x=\frac{756}{13}$

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Example Question #776 : Linear Equations

Solve for .

$\frac{9x}{11}-83=-21$

Possible Answers:

$-\frac{478}{9}$

$\frac{558}{11}$

$\frac{-712}{9}$

$\frac{682}{9}$

$-\frac{558}{11}$

Correct answer:

$\frac{682}{9}$

Explanation:

$\frac{9x}{11}-83=-21$ Add on both sides. Since is greater than and is positive, our answer is positive. We treat as a normal subtraction.

$\frac{9x}{11}=62$ Multply $\frac{11}{9}$ on both sides.

$x=\frac{682}{9}$

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Example Question #777 : Linear Equations

Solve for x in the following equation:

18x - 4 = 14

Possible Answers:

x = -1

x = 1

x = 10

x = -4

x = 14

Correct answer:

x = 1

Explanation:

To solve for x, we need to get x to stand alone. Given the equation

18x - 4 = 14

we will first add 4 to both sides. So,

18x - 4 + 4 = 14 + 4

18x = 18

Now, we will divide both sides by 18. We get

$\frac{18x}{18} = \frac{18}{18}$

x = 1

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Example Question #778 : Linear Equations

Solve: 6-x = 19

Possible Answers:

$-\frac{13}{2}$

$-\frac{19}{6}$

$\frac{19}{6}$

Correct answer:

Explanation:

To isolate the x variable, we can add the variable to move it to the right side of the equation.

6-x +x= 19+x

Simplify both sides.

6= 19+x

Subtract 19 from both sides to move the 19 to the left side of the equation.

-13=x

The answer is:

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Example Question #773 : Algebra 1

Solve: 10-x = 30

Possible Answers:

Correct answer:

Explanation:

Add the variable on both sides to move the variable to the right side of the equation.

10-x +(x) = 30+(x) .

Simplify both sides.

10=30+x

Subtract thirty on both sides.

-20=x

The answer is:

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Example Question #780 : Linear Equations

Solve: 5x+8 = -37

Possible Answers:

$\frac{29}{5}$

$-\frac{29}{5}$

Correct answer:

Explanation:

Subtract eight from both sides.

5x+8-8 = -37-8

Simplify.

5x=-45

Divide by five on both sides.

$\frac{5x}{5}=\frac{-45}{5}$

Simplify both sides of the equation.

$x=-\frac{45}{5}=-9$

The answer is:

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Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #239 : How To Solve Two Step Equations

Example Question #231 : How To Solve Two Step Equations

Example Question #771 : Linear Equations

Example Question #771 : Linear Equations

Example Question #241 : How To Solve Two Step Equations

Example Question #776 : Linear Equations

Example Question #777 : Linear Equations

Example Question #778 : Linear Equations

Example Question #773 : Algebra 1

Example Question #780 : Linear Equations

All Algebra 1 Resources

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