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High School Math : High School Math

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8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for :

x -5 =20

Possible Answers:

100

Correct answer:

Explanation:

Remembering the final goal is to get the alone on one side of the equation.

To get rid of the , we perform the opposite operation. We add to each side of the equation, cancelling out the on the left side.

This brings the equation to x =25 .

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Example Question #4 : How To Solve One Step Equations With Integers In Pre Algebra

If x=7 what is $x^{{2}}+ 5$ ?

Possible Answers:

Correct answer:

Explanation:

If x=7 you put in for . Therefore it becomes $7^{2}$ .

$7 \times 7= 49$

Finally, 49 +5 =54

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Example Question #5 : How To Solve One Step Equations With Integers In Pre Algebra

Simplify:

$2x^{3} \cdot 2x^{4}$

Possible Answers:

4x^7

$4x^{12}$

$2x^{7}$

$4x^{1}$

$2x^{12}$

Correct answer:

4x^7

Explanation:

First you multiply the coefficients $(2\cdot 2)$ .

Then you multiply $x^{3} \cdot x^4$ According to the laws of exponents, when you multiply two numbers with similar bases (both in this case) then you simply add the exponents (3+4 =7) .

Therefore, the final answer is 4x^7 .

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Example Question #291 : High School Math

Solve for if x+5=15

Possible Answers:

x=10

x=15

x=20

x=5

Correct answer:

x=10

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+5-5=15-5

The 's on the left side cancel to get x=15-5

Then we perform the necessary subtraction to get the answer of x=10 .

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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=72

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

x=55

x=60

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=72

x=68

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

x=66

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=8

x=12

x=14

x=76

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

Solve for if 5x=80

Possible Answers:

x=85

x=16

x=75

x=400

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 #11 : 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=7

x=2

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

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

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=72

x=67

x=57

x=60

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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High School Math : High School Math

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #1 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #4 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #5 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #291 : High School Math

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 #14 : 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 #16 : How To Solve One Step Equations With Integers In Pre Algebra

All High School Math Resources

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