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High School Math : Algebraic Equations

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Example Questions

Example Question #61 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for when $\frac{x}{4}-25=5$

Possible Answers:

$x=\frac{30}{4}$

x=90

x=120

x=9

Correct answer:

x=120

Explanation:

To solve for , begin by adding to both sides of the equation:

$\frac{x}{4}-25+25=5+25$

$\frac{x}{4}=30$

Then multiply both sides by :

$\frac{x}{4}\cdot 4=30\cdot 4$

x=120

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Example Question #64 : How To Solve Two Step Equations

Solve for when 5x+32=72

Possible Answers:

x=4

x=14

x=9

x=8

Correct answer:

x=8

Explanation:

To solve for , begin by subtracting from both sides of the equation:

5x+32-32=72-32

5x=40

Then divide both sides by :

$\frac{5x}{5}=\frac{40}{5}$

x=8

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Example Question #321 : Pre Algebra

Solve for when x+20=3x+42

Possible Answers:

x=14

x=16

x=-64

x=-11

Correct answer:

x=-11

Explanation:

When there are variables on both sides of the equation, it is easiest to move them to the same side. Move all variables to the left side of the equation by subtracting from each side:

x+20-3x=3x+42-3x

-2x+20=42

Then subtract from each side of the equation:

-2x+20-20=42-20

-2x=22

Then divide each side by :

$\frac{-2x}{-2}=\frac{22}{-2}$

x=-11

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Example Question #61 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for when 7x-17=32

Possible Answers:

x=79

x=14

x=7

x=343

Correct answer:

x=7

Explanation:

To solve for , begin by adding to both sides of the equation:

7x-17+17=32+17

7x=49

Then divide both sides of the equation by :

$\frac{7x}{7}=\frac{49}{7}$

x=7

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Example Question #61 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for when x+18=7x-18

Possible Answers:

x=18

x=-7

x=24

x=6

Correct answer:

x=6

Explanation:

When there are variables on both sides of the equation, it is easiest to move them to the same side. Move all variables to the right side of the equation by subtracting from each side:

x-x+18=7x-x-18

18=6x-18

Then add to both sides of the equation:

18+18=6x-18+18

36=6x

Then divide each side of the equation by :

$\frac{36}{6}=\frac{6x}{6}$

x=6

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Example Question #71 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for when $\frac{x}{4}+16=48$

Possible Answers:

x=16

x=64

x=128

x=8

Correct answer:

x=128

Explanation:

To solve for , begin by subtracting from both sides of the equation:

$\frac{x}{4}+16-16=48-16$

$\frac{x}{4}=32$

Then multiply both sides by :

$\frac{x}{4}\cdot 4=32\cdot 4$

x=128

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Example Question #481 : High School Math

Solve for if, 4(x+8)=72

Possible Answers:

x=10

x=4

x=8

x=12

Correct answer:

x=10

Explanation:

To solve for , first distribute the outside the parentheses to both values inside the parentheses:

4x+32=72

Then subtract from both sides of the equation:

4x+32-32=72-32

4x=40

Then divide each side of the equation by :

$\frac{4x}{4}=\frac{40}{4}$

x=10

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Example Question #72 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for when 8(x-7)=40

Possible Answers:

x=8

$x=\frac{47}{8}$

x=14

x=12

Correct answer:

x=12

Explanation:

To solve for , first distribute the outside the parentheses to both values inside the parentheses:

8x-56=40

Then add to both sides of the equation:

8x-56+56=40+56

8x=96

Then divide both sides by :

$\frac{8x}{8}=\frac{96}{8}$

x=12

Report an Error

Example Question #74 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for when 7x-82=2

Possible Answers:

x=24

x=16

x=48

x=12

Correct answer:

x=12

Explanation:

To solve for , first add to both sides of the equation:

7x-82+82=2+82

7x=84

Then divide each side of the equation by :

$\frac{7x}{7}=\frac{84}{7}$

x=12

Report an Error

Example Question #73 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for when $\frac{x}{9}+71=89$

Possible Answers:

x=144

x=81

x=9

x=162

Correct answer:

x=162

Explanation:

To solve for , first subtract from both sides of the equation:

$\frac{x}{9}+71-71=89-71$

$\frac{x}{9}=18$

Then multiply each side of the equation by :

$\frac{x}{9}\cdot 9=18\cdot 9$

x=162

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High School Math : Algebraic Equations

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #61 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #64 : How To Solve Two Step Equations

Example Question #321 : Pre Algebra

Example Question #61 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #61 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #71 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #481 : High School Math

Example Question #72 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #74 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #73 : How To Solve Two Step Equations With Integers In Pre Algebra

All High School Math Resources

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