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High School Math : Pre-Algebra

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

Example Questions

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

Solve for when x+.58=.91

Possible Answers:

x=.83

x=1.49

x=.33

x=.39

Correct answer:

x=.33

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+.58-.58=.91-.58

The numbers on the left side cancel to leave by itself.

To do the necessary subtraction we need to know how to subtract decimals from each other.

To subtract decimals you place the first decimal over the top of the other aligned by the decimal point.

Then go through each place and subtract the top number by the bottom number.

Subtract the numbers in each place like you would any number.

Then combine them keeping the decimal in the same place to get x=.33 .

The answer is x=.33 .

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

0.2x=35

Solve for .

Possible Answers:

175

34.8

35.2

Correct answer:

175

Explanation:

To solve 0.2x=35 , we need to isolate . That means we want just on the left hand side.

To do that, we need to divide both sides by 0.2 .

0.2x=35

$\frac{0.2x}{0.2}=\frac{35}{0.2}$

$x=\frac{35}{0.2}$

x=175

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

x=0.75*4

What is ?

Possible Answers:

3.75

3.25

5.3

Correct answer:

Explanation:

To solve x=0.75*4 , you can either plug it into your calculator or convert it to a fraction. Since $0.75=\frac{3}{4}$ , we can rewrite the equation as:

$x=\frac{3}{4}*4$

$x=\frac{12}{4}=3$

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Example Question #251 : Pre Algebra

What number is $30\%$ of 180 ?

Possible Answers:

Correct answer:

Explanation:

Verbal cues include "IS" means equals and "OF" means multiplication.

$n=0.30\cdot 180=54$

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Example Question #252 : Pre Algebra

Michael buys two packs of pencils for $\$ 1.25$ each and three sketch pads for $\$ 3.50$ each. He pays for his purchase with $\$ 20.00$ . How much change should he get?

Possible Answers:

$\$ 17.50$

$\$ 9.50$

$\$ 15.25$

$\$ 7.00$

$\$ 13.00$

Correct answer:

$\$ 7.00$

Explanation:

First, calculate how much he spends on pencils and pads.

Pencils: $2\cdot 1.25=\$2.50$

Pads: $3\cdot 3.50=\$10.50$

Therefore the total spent is $\$2.50+\$10.50=\$13.00$ .

Then the change is $\$20.00-\$13.00=\$7.00$ .

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Example Question #253 : Pre Algebra

Solve for if x-.16=.32 .

Possible Answers:

x=48

x=4.8

x=.44

x=.48

x=.16

Correct answer:

x=.48

Explanation:

We need to isolate x so that it is the only term on the left side of the equation.

To do this, add .16 to both sides of the equation:

x-.16+.16=.32+.16

The numbers on the left side cancel to leave by itself.

.32+.16=.48

The answer is therefore x=.48 .

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

24=2X-6

X=?

Possible Answers:

Correct answer:

Explanation:

This is a two-step equation. First simplify the whole numbers by adding 6 to both sides:

$24+\left ( 6\right )=2X-6+\left ( 6\right )$

30=2X

Then divide both sides by 2

$\frac{30}{2}=\frac{2X}{2}$

15=X

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

Solve for .

4x-3=13

Possible Answers:

x=12

x=64

x=2.5

x=4

Correct answer:

x=4

Explanation:

Perform the same operation on both sides of the equation.

4x-3=13

Add 3 to both sides.

4x-3+3=13+3

4x=16

Divide both sides by 4 and simplify the fraction.

$\frac{4x}{4}=\frac{16}{4}$

x=4

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Example Question #2 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve the following equation for .

3m + 5 = 17

Possible Answers:

$\frac{22}{3}$

Correct answer:

Explanation:

3m + 5 = 17

To solve a two step equation, we want to isolate the variable. This means first "getting rid of" the number which is being added to the variable, in this case . To get rid of the , we first recognize that it is being added, then we do the inverse and subtract from both sides.

3m+5-5=17-5

3m=12

Now, we want to do the inverse of multiplying by , which is dividing by on both sides.

$\frac{3m}{3}=\frac{12}{3}$

m=4

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Example Question #3 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve the following equation for .

$8 - \frac{k}{7} = 5$

Possible Answers:

Correct answer:

Explanation:

$8 - \frac{k}{7} = 5$

We want to first isolate the variable, thus we first try to get rid of the constants being added to the variable, in this case the . To eliminate , we do the inverse of addition, and subtract from both sides.

$8-\frac{k}{7}-8=5-8$

$- \frac{k}{7} = -3$

Then, we want to do the inverse of dividing by , which is multiplying by . Remember that multiplying two negative terms results in a positive term.

$(-7)(-\frac{k}{7})=(-7)(-3)$

k=21

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High School Math : Pre-Algebra

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

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

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

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

Example Question #251 : Pre Algebra

Example Question #252 : Pre Algebra

Example Question #253 : Pre Algebra

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

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

Example Question #2 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #3 : How To Solve Two Step Equations With Integers In Pre Algebra

All High School Math Resources

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