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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 #259 : How To Solve Two Step Equations

Solve for y in the following equation:

$\frac{y}{4} -2 = -9$

Possible Answers:

y = -11

y = 28

y = 3

y = -28

y = -3

Correct answer:

y = -28

Explanation:

To solve for y, we want y to stand alone. In the equation

$\frac{y}{4} -2 = -9$

we will first add 2 to both sides. We get

$\frac{y}{4} -2 + 2 = -9 + 2$

$\frac{y}{4} = -7$

Now, we will multiply both sides by 4. We get

$\frac{y}{4} \cdot 4 = -7 \cdot 4$

y = -28

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Example Question #260 : How To Solve Two Step Equations

Solve: 3x-2=22

Possible Answers:

$\frac{20}{3}$

$\frac{11}{3}$

Correct answer:

Explanation:

Add two on both sides of the equation.

3x-2+2=22+2

Simplify both sides.

3x=24

Divide by three on both sides.

$\frac{3x}{3}=\frac{24}{3}$

Divide both sides and simplify.

The answer is: x=8

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Example Question #791 : Linear Equations

Solve the equation: 3x-12 = 37

Possible Answers:

$\frac{25}{3}$

$\frac{49}{3}$

Correct answer:

$\frac{49}{3}$

Explanation:

Add 12 on both sides of the equation.

3x-12 +12= 37+12

Simplify both sides of the equation.

3x=49

Divide by three on both sides.

$\frac{3x}{3}=\frac{49}{3}$

Simplify both sides. The fraction on the right is irreducible.

The answer is: $\frac{49}{3}$

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Example Question #793 : Algebra 1

Solve the equation: -2x+7=48

Possible Answers:

$-\frac{41}{2}$

$-\frac{55}{2}$

$-\frac{35}{2}$

Correct answer:

$-\frac{41}{2}$

Explanation:

Subtract seven from both sides.

-2x+7-7=48-7

Simplify both sides.

-2x=41

Divide by negative two on both sides.

$\frac{-2x}{-2}=\frac{41}{-2}$

The answer is: $x=-\frac{41}{2}$

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Example Question #261 : How To Solve Two Step Equations

Solve the following equation: 9x+9 = 3

Possible Answers:

$-\frac{3}{2}$

$-\frac{2}{3}$

$\frac{3}{2}$

$-\frac{1}{3}$

Correct answer:

$-\frac{2}{3}$

Explanation:

Subtract nine from both sides.

9x+9-9 = 3-9

Simplify both sides.

9x=-6

Divide by nine on both sides.

$\frac{9x}{9}=\frac{-6}{9}$

Reduce the fractions.

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

The answer is: $-\frac{2}{3}$

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Example Question #795 : Algebra 1

Solve the equation: 3x-2 =16

Possible Answers:

$\frac{10}{3}$

$\frac{32}{3}$

$\frac{8}{3}$

$\frac{14}{3}$

Correct answer:

Explanation:

Add two on both sides.

3x-2+2 =16+2

Simplify both sides of the equation.

3x=18

Divide by three on both sides.

$\frac{3x}{3}=\frac{18}{3}$

Simplify both sides.

The answer is: x=6

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Example Question #796 : Algebra 1

Solve the equation: 9-2x=17

Possible Answers:

$-\frac{13}{4}$

Correct answer:

Explanation:

Subtract nine on both sides to transfer the nine from the left to the right.

9-2x-9=17-9

Simplify both sides.

-2x=8

Divide by negative two on both sides.

$\frac{-2x}{-2}=\frac{8}{-2}$

The answer is: x=-4

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Example Question #797 : Algebra 1

Solve the equation: -2x+6 = -70

Possible Answers:

Correct answer:

Explanation:

Subtract six on both sides of the equation.

-2x+6-6 = -70-6

Simplify both sides.

-2x=-76

Divide by negative two on both sides.

$\frac{-2x}{-2}=\frac{-76}{-2}$

Divide both fractions. A negative number divided by a negative number will yield a positive number.

x=38

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Example Question #798 : Algebra 1

Solve the equation: -3(x+3)=3

Possible Answers:

$\frac{1}{3}$

Correct answer:

Explanation:

Divide by negative three on both sides.

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

Simplify both sides.

x+3 = -1

Subtract three from both sides.

x+3 -3= -1-3

x=-4

The answer is:

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Example Question #262 : How To Solve Two Step Equations

Solve the equation: 5-3x=26

Possible Answers:

$\frac{31}{3}$

$-\frac{31}{3}$

Correct answer:

Explanation:

Subtract five from both sides.

5-3x-5=26-5

Simplify both sides.

-3x=21

Divide by negative three on both sides.

$\frac{-3x}{-3}=\frac{21}{-3}$

Simplify both fractions.

The answer is: x=-7

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Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #259 : How To Solve Two Step Equations

Example Question #260 : How To Solve Two Step Equations

Example Question #791 : Linear Equations

Example Question #793 : Algebra 1

Example Question #261 : How To Solve Two Step Equations

Example Question #795 : Algebra 1

Example Question #796 : Algebra 1

Example Question #797 : Algebra 1

Example Question #798 : Algebra 1

Example Question #262 : How To Solve Two Step Equations

All Algebra 1 Resources

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