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High School Math : High School Math

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #33 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for if 9(x+5)=81 .

Possible Answers:

x=8

x=4

x=5

x=9

Correct answer:

x=4

Explanation:

The problem above is a two-step algebra problem with distribution.

First distribute the outside of the parentheses through to both of the numbers inside by multiplying: 9x+45=81

Then we must isolate .

We must subtract the number, , from each side of the equation: 9x+45-45=81-45

Perform the math so that our equation looks like 9x=36 .

Then we divide each side of the equation by the number attached to : $\frac{9x}{9}=\frac{36}{9}$

Then the answer is x=4 .

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Example Question #34 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for if x+67=7x+31 .

Possible Answers:

x=6

x=8

x=5

x=7

Correct answer:

x=6

Explanation:

Subtracting from the left and right side of the equation: x-x+67=7x-x+31

When adding or subtracting variables, only add or subtract the constants in front of the variables.

Perform the math to get 67=6x+31 .

Then to get all of the integers to the left side, we will subtract from the right and left side of the equation: 67-31=6x+31-31

Perform the math to get 36=6x .

At this point we must divide each side of the equation by the constant attached to : $\frac{36}{6}=\frac{6x}{6}$

Perform the math to find the answer, x=6 .

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Example Question #35 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for if, 5x+15=75

Possible Answers:

x=12

x=13

x=14

x=11

Correct answer:

x=12

Explanation:

To perform a two step algebra problem with addition and multiplication we must remove the numbers from so it is by itself on one side of the equation.

To do this we first look to see if a number is being added or subtracted from .

In this case a number is being added so we must subtract the number, , from each side of the equation 5x+15-15=75-15

Perform the math so our equation looks like 5x=60

Then we divide each side of the equation by the number that is in front of to get by itself $\frac{5x}{5}=\frac{60}{5}$

Perform the math to find the answer x=12 .

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Example Question #196 : Algebraic Equations

Solve for if 9x-17=19 .

Possible Answers:

x=4

x=15

x=9

x=7

Correct answer:

x=4

Explanation:

To perform a two-step algebra problem with addition and multiplication we must remove the numbers from so it is by itself on one side of the equation.

To do this we first look to see if a number is being added or subtracted from .

In this case a number is being subtracted so we must add the number, , to each side of the equation 9x-17+17=19+17

Perform the math so our equation becomes 9x=36 .

Then we divide each side of the equation by the number that is in front of to get by itself $\frac{9x}{9}=\frac{36}{9}$

Perform the math to find the answer

$x=\frac{36}{9}$

The answer is x=4 .

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Example Question #197 : Algebraic Equations

Solve for if 7x-55=29 .

Possible Answers:

x=8

x=26

x=12

x=16

Correct answer:

x=12

Explanation:

To perform a two-step algebra problem with addition and multiplication we must remove the numbers from so it is by itself on one side of the equation.

To do this we first look to see if a number is being added or subtracted from .

In this case a number is being subtracted so we must add the number, , to each side of the equation 7x-55+55=29+55

Perform the math so our equation looks like 7x=84

Then we divide each side of the equation by the number that is in front of to get by itself

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

Perform the math to find the answer x=12 .

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Example Question #198 : Algebraic Equations

Solve for if

-6(x+5)=60

Possible Answers:

x=-15

x=-30

x=30

x=15

Correct answer:

x=-15

Explanation:

The problem above is a two-step algebra problem with distribution.

To solve you must first distribute the outside of the parentheses into both of the numbers inside by multiplying.

Remember when you distribute a negative that both of the numbers inside the parentheses are being multiplied by a negative number so they must flip signs.

Our problem now looks like -6x-30=60

Then we must get our variable, , by itself.

We must add the number, , to each side of the equation

-6x-30+30=60+30

Perform the math so our equation looks like -6x=90

Then we divide each side of the equation by the number that is in front of to get by itself $\frac{-6x}{-6}=\frac{90}{-6}$

Solve the math to find the answer x=-15 .

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Example Question #41 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for if

x+35=2x-15

Possible Answers:

x=50

x=25

x=45

x=35

Correct answer:

x=50

Explanation:

When there are variables and numbers on each side of the equation, to solve we must mathematically move the variables onto one side and the numbers onto the other.

To do this we put all of the variables on the right side of the equal sign by subtracting from the each side of the equation to have x-x+35=2x-x+15

When adding or subtracting variables you only add or subtract the numbers in front of the variables. If there is no number the number value is .

Perform the math 35=x-15

Then to get all of the integers to the left side we will add to each side of the equation to have 35+15=x-15+15

Perform the math 50=x

The answer is x=50 .

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Example Question #42 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for where 3x+55=91 .

Possible Answers:

x=16

x=9

x=13

x=12

Correct answer:

x=12

Explanation:

To perform a two-step algebra problem with addition and multiplication we must remove the numbers from so it is by itself on one side of the equation.

To do this we first look to see if a number is being added or subtracted from .

In this case a number is being added so we must subtract the number, , from each side of the equation

3x+55-55=91-55

Perform the math so our equation looks like

3x=36

Then we divide each side of the equation by the number that is in front of to get by itself

$\frac{3x}{3}=\frac{36}{3}$

Perform the math to find the answer x=12 .

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Example Question #41 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for where

8x-5=59

Possible Answers:

x=92

x=8

x=16

x=408

Correct answer:

x=8

Explanation:

To perform a two-step algebra problem with addition and multiplication we must remove the numbers from so it is by itself on one side of the equation.

To do this we first look to see if a number is being added or subtracted from .

In this case a number is being subtracted so we must add the number, , to each side of the equation

8x-5+5=59+5

Perform the math so our equation looks like

8x=64

Then we divide each side of the equation by the number that is in front of to get by itself

$\frac{8x}{8}=\frac{64}{8}$

Perform the math to find the answer x=8 .

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Example Question #42 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for if

5(x+15)=120

Possible Answers:

x=15

x=9

x=25

x=5

Correct answer:

x=9

Explanation:

The problem above is a two-step algebra problem with distribution.

To solve you must first distribute the outside of the parentheses into both of the numbers inside by multiplying.

Perform the multiplication with and each of the numbers inside the parentheses to get our new equation,

5x+75=120

Then we must get our variable, , by itself.

We must subtract the number, , from each side of the equation

5x+75-75=120-75

Perform the math so our equation looks like

5x=45

Then we divide each side of the equation by the number that is in front of to get by itself

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

Solve the math to find the answer x=9 .

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High School Math : High School Math

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #33 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #34 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #35 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #196 : Algebraic Equations

Example Question #197 : Algebraic Equations

Example Question #198 : Algebraic Equations

Example Question #41 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #42 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #41 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #42 : How To Solve Two Step Equations With Integers In Pre Algebra

All High School Math Resources

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