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

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Example Questions

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

0.5x=33.5

Solve for .

Possible Answers:

0.01 5

16.75

Correct answer:

Explanation:

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

0.5x=33.5

Divide both sides by 0.5 .

$\frac{0.5x}{0.5}=\frac{33.5}{0.5}$

x=67

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

Solve for when

x-0.98=0.1

Possible Answers:

x=.108

x=1

x=1.08

x=.88

Correct answer:

x=1.08

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 0.98 so we add 0.98 to each side of the equation to make it look like this x-0.98+0.98=0.1+0.98

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

Then we must perform the necessary addition to get the answer.

To add decimals together you place the decimals one over the top of the other aligned by the decimal point.

Then add each place with the appropriately aligned number to get a result for each number.

In this case the decimals will add together like this x=.98+.10

The answer is x=1.08 .

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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:

3.25

3.75

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 #401 : High School Math

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 #402 : High School Math

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:

$\$ 17.50$

$\$ 7.00$

$\$ 13.00$

$\$ 15.25$

$\$ 9.50$

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

Solve for if x-.16=.32 .

Possible Answers:

x=.48

x=.16

x=4.8

x=48

x=.44

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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High School Math : How to solve one-step equations with decimals 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 Decimals In Pre Algebra

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

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 #401 : High School Math

Example Question #402 : High School Math

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

All High School Math Resources

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