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

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Example Question #11 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for if

$\frac{x}{5}=12$

Possible Answers:

x=55

$x=\frac{12}{5}$

x=60

x=72

Correct answer:

x=60

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 divided by a number, we must multiply both sides of the equation by the number.

In this case the number is so we multiply each side of the equation by to make it look like this

$5(\frac{x}{5})=(12)5$

The 's on the left side cancel so we only have .

Then we perform the necessary multiplication to get the answer of x=60 .

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Example Question #12 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for if $\frac{x}{17}=4$

Possible Answers:

x=66

$x=\frac{4}{17}$

x=72

x=68

Correct answer:

x=68

Explanation:

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

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

In this case the number is so we multiply each side of the equation by to make it look like this $17(\frac{x}{17})=4(17)$

The 's on the left side cancel so we only have .

Then we perform the necessary multiplication to get the answer of x=68

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Example Question #13 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for if x+32=44

Possible Answers:

x=76

x=12

x=8

x=14

Correct answer:

x=12

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+32-32=44-32

The 's on the left side cancel to get x=44-32

Then we perform the necessary subtraction to get the answer of x=12 .

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Example Question #11 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for if 5x=80

Possible Answers:

x=400

x=16

x=75

x=85

Correct answer:

x=16

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 $\frac{5x}{5}=\frac{80}{5}$

The 's cancel to leave by itself.

Then we perform the necessary division to get the answer of x=16 .

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Example Question #15 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for $\small x$ .

14x-4=3

Possible Answers:

$x=\frac{1}{2}$

x=2

x=7

$x=\frac{10}{3}$

$x=\frac{3}{10}$

Correct answer:

$x=\frac{1}{2}$

Explanation:

To solve, you want to isolate the $\small x$ on one side.

14x-4=3

To get ride of the , you add to both sides.

14x-4+4=3+4

14x=7

Then you divide by on both sides.

$\frac{14x}{14}=\frac{7}{14}$

$x = \frac{7}{14}=\frac{1}{2}$

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Example Question #16 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for if x+15=72 .

Possible Answers:

x=60

x=57

x=72

x=67

Correct answer:

x=57

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+15-15=72-15

The 's on the left side cancel to get x=72-15

Then we perform the necessary subtraction to get the answer of x=57 .

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Example Question #17 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for if

$\frac{x}{16}=3$

Possible Answers:

$x=\frac{16}{3}$

x=13

x=48

x=52

Correct answer:

x=48

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 divided by a number, we must multiply both sides of the equation by the number.

In this case the number is so we multiply each side of the equation by to make it look like this

$(16)\frac{x}{16}=3(16)$

The 's on the left side cancel so we only have .

Then we perform the necessary multiplication to get the answer of x=48 .

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Example Question #18 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for if

x+44=1244

Possible Answers:

x=1244

x=1277

x=1288

x=1200

Correct answer:

x=1200

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+44-44=1244-44

The s on the left side cancel to get x=1244-44

Then we perform the necessary subtraction to get the answer of x=1200 .

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Example Question #19 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for the value of $\small p$ .

p+2=9

Possible Answers:

p=7

$p=\frac{2}{9}$

p=11

$p=\frac{9}{2}$

Correct answer:

p=7

Explanation:

p+2=9

We need to isolate the variable. Subtract $\small 2$ from both sides

p+2-2=9-2

p=7

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Example Question #11 : How To Solve One Step Equations With Integers In Pre Algebra

4+x=32

Solve for .

Possible Answers:

Correct answer:

Explanation:

4+x=32

Subtract from both sides.

(4+x)-4=(32)-4

x=32-4

x=28

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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 #11 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #12 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #13 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #11 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #15 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #16 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #17 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #18 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #19 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #11 : How To Solve One Step Equations With Integers In Pre Algebra

All High School Math Resources

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