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High School Math : How to solve one-step equations with integers in pre-algebra

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Example Question #31 : How To Solve One Step Equations With Integers In Pre Algebra

3x=33

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve for , we first need to isolate it. That means we want ONLY on the left side of the equation.

3x=33

Divide both sides by .

$\frac{3x}{3}{}=\frac{33}{3}{}$

x=11

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Example Question #32 : How To Solve One Step Equations With Integers In Pre Algebra

Solve 32x=128

Possible Answers:

x=2

x=4

x=10

x=8

Correct answer:

x=4

Explanation:

To solve for we must get all of the numbers on the other side of the equation as .

To do this in a problem where is being multiplied by a number, we must divide both sides of the equation by the number.

In this case the number is so we divide each side of the equation by to make it look like this $\frac{32x}{32}=\frac{128}{32}$

The s cancel to leave by itself

$x=\frac{128}{32}$

Then we perform the necessary division to get the answer of x=4 .

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

Solve for if, x-54=189

Possible Answers:

x=185

x=243

x=213

x=135

Correct answer:

x=243

Explanation:

To solve for we must get all of the numbers on the other side of the equation as .

To do this in a problem where is being subtracted by a number, we must add the number to both sides of the equation.

In this case the number is so we add to each side of the equation to make it look like this x-54+54=189+54

The 54's cancel on the left side and leave by itself x=189+54

Then we perform the necessary addition to get the answer of x=243 .

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Example Question #311 : High School Math

Solve for if

x+17=32

Possible Answers:

x=17

x=49

x=15

x=35

Correct answer:

x=15

Explanation:

To solve for we must get all of the numbers on the other side of the equation as .

To do this in a problem where a number is being added to , we must subtract the number from both sides of the equation.

In this case the number is so we subtract from each side of the equation to make it look like this x+17-17=32-17

The 17's on the left side cancel to get x=32-17

Then we perform the necessary subtraction to get the answer of x=15 .

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

2x=64

Solve for .

Possible Answers:

128

$4\sqrt{2}$

Correct answer:

Explanation:

To solve 2x=64 , we need to isolate . That means we want only on the left side.

2x=64

Divide both sides by .

$\frac{2x}{2}=\frac{64}{2}$

$x=\frac{64}{2}$

x=32

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Example Question #36 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for if x-52=67 .

Possible Answers:

x=97

x=15

x=71

x=119

Correct answer:

x=119

Explanation:

To solve for , we must move all of the constants to the opposite side of the equation as .

To do this in a problem where is being subtracted by a number, we must add the number to both sides of the equation.

In this case the number is , so we add to each side of the equation to make it look like this: x-52+52=67+52

The s cancel on the left side and leave by itself.

Then we perform the necessary addition to get the answer of x=119 .

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Example Question #37 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for if $\frac{x}{4}=15$ .

Possible Answers:

x=60

$x=\frac{15}{4}$

x=75

x=45

Correct answer:

x=60

Explanation:

To solve for we must move all of the numbers to the other side of the equation as .

To do this in a problem where is being divided by a constant, we must multiply both sides of the equation by that constant.

In this case the constant is , so we multiply each side of the equation by to make it look like this: $(4)\frac{x}{4}=(15)(4)$

The s on the left cancel to give us x=(15)(4) .

Multiply to find x=60 .

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Example Question #38 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for if x+64=91 .

Possible Answers:

x=155

x=93

x=27

x=39

Correct answer:

x=27

Explanation:

To solve for we must get all of the constants on the other side of the equation as .

To do this in a problem where a number is being added to , we must subtract the number from both sides of the equation.

In this case the number is , so we subtract from each side of the equation: x+64-64=91-64

The s on the left side cancel: x=91-64

Then we perform the necessary subtraction to get the answer, x=27 .

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Example Question #39 : How To Solve One Step Equations With Integers In Pre Algebra

Solve the following equation for :

4x = 20

Possible Answers:

x = 5

x = 4

x = 80

x = 16

x = 25

Correct answer:

x = 5

Explanation:

To solve this one-step algebraic equation, we use opposite operations. The variable in this equation is being multiplied by 4. The opposite operation to multiplication is division; therefore, we divide both sides of the equation by 4:

4x = 20

$\frac{4x}{4} = \frac{20}{4}$

x = 5

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Example Question #40 : How To Solve One Step Equations With Integers In Pre Algebra

Solve the following equation for :

$\frac{x}{5} = 10$

Possible Answers:

x = 15

x = 50

x = 5

x = 2

x = 20

Correct answer:

x = 50

Explanation:

To solve this one-step algebraic equation, we use opposite operations. The variable in this equation is being divided by 5. The opposite operation to division is multiplication; therefore, we multiply both sides of the equation by 5:

$\frac{x}{5} = 10$

$5\cdot \frac{x}{5} = 10\cdot 5$

x = 50

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High School Math : How to solve one-step equations with integers in pre-algebra

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #31 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #32 : How To Solve One Step Equations With Integers In Pre Algebra

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

Example Question #311 : High School Math

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

Example Question #36 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #37 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #38 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #39 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #40 : How To Solve One Step Equations With Integers In Pre Algebra

All High School Math Resources

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