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Pre-Algebra : Two-Step Equations with Decimals

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Example Questions

Example Question #1 : Two Step Equations With Decimals

Solve for :

0.33x+1.66=9.99

Possible Answers:

$25.\overline{42}$

$-25.\overline{42}$

$25.\overline{24}$

$-25.\overline{24}$

Correct answer:

$25.\overline{24}$

Explanation:

The goal is to isolate the variable to one side.

0.33x+1.66=9.99

Subtract 1.66 from both sides:

0.33x+1.66-1.66=9.99-1.66

0.33x=8.33

Divide each side by 0.33 :

$\frac{0.33x}{0.33}=\frac{8.33}{0.33}$

$x=25.\overline{24}$

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Example Question #2 : Two Step Equations With Decimals

Solve for :

.5x+.08=1.68

Possible Answers:

3.28

3.44

3.2

Correct answer:

3.2

Explanation:

Step 1: Subtract from both sides:

.5x+.08-.08=1.68-.08

.5x+0=1.6

.5x=1.6

Step 2: Divide both sides by :

$\frac{.5x}{.5}= \frac{1.6}{.5}$

x=3.2

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Example Question #1 : Two Step Equations With Decimals

Solve for p:

1.5p+0.25=3.25

Possible Answers:

p=3

p=2

p=2.5

p=3.5

Correct answer:

p=2

Explanation:

1.5p+0.25=3.25

1.5p+0.25-0.25=3.25-0.25

1.5p=3.0

$\frac{1.5p}{1.5}=\frac{3.0}{1.5}$

p=2

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Example Question #4 : Two Step Equations With Decimals

$\frac{x }{3.2}- 1.6 = 5.4$

Possible Answers:

x = 2.1875

x = 1.1875

x = 18.88

x = 22.4

x= 12.16

Correct answer:

x = 22.4

Explanation:

$\frac{x }{3.2}- 1.6 = 5.4$

$\frac{x }{3.2}- 1.6 + 1.6= 5.4 + 1.6$

$\frac{x }{3.2} = 7$

$\frac{x }{3.2} \cdot 3.2 = 7\cdot 3.2$

x = 22.4

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Example Question #5 : Two Step Equations With Decimals

Solve for :

2.4x - 1.2 = 8.1

Possible Answers:

x = 4.575

x = 3.875

x = 22.32

x = 2.875

x = 16.56

Correct answer:

x = 3.875

Explanation:

2.4x - 1.2 = 8.1

2.4x - 1.2+ 1.2 = 8.1 + 1.2

2.4x = 9.3

$2.4x \div 2.4= 9.3 \div 2.4$

x = 3.875

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Example Question #2 : Two Step Equations With Decimals

Solve for :

$\frac{x - 1.6}{3.2} = 10$

Possible Answers:

x= 1.525

x = 37.12

x = 30.4

x = 33.6

x= 4.725

Correct answer:

x = 33.6

Explanation:

$\frac{x - 1.6}{3.2} = 10$

$\frac{x - 1.6}{3.2} \cdot 3.2 = 10 \cdot 3.2$

x - 1.6 = 32

x - 1.6 + 1.6 = 32 + 1.6

x = 33.6

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Example Question #2 : Two Step Equations With Decimals

Solve for .

.1x+.9=2

Possible Answers:

x=20

x=10

x=.1

x=1.9

x=11

Correct answer:

x=11

Explanation:

To solve this problem, move all terms with x on one side and all other terms on the other side. We now get

.1x=2-.9

.1x=1.1

x=11

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Example Question #3 : Two Step Equations With Decimals

Solve for :

0.75x+0.25=4.75

Possible Answers:

6.25

5.75

Correct answer:

Explanation:

Explanation:

Step 1: Subtract 0.25 from both sides:

0.75x+0.25-0.25=4.75-0.25

0.75x+0=4.5

0.75x=4.5

Step 2: Divide both sides by 0.75 :

$\frac{0.75x}{0.75}=\frac{4.5}{0.75}$

x=6

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Example Question #3 : Two Step Equations With Decimals

Solve the equation for .

0.9 + x = 2x - 0.7

Possible Answers:

x = 0.2

x = 0.4

x = -0.16

x = 0.32

x = 1.6

Correct answer:

x = 1.6

Explanation:

The correct answer to this question is x = 1.6 .

To start, you need to move 's one one side of the equation and numbers to the other side of the equation:

First, you subtract from both sides of the equation. Then, you will have put all of the 's on the same side of the equation:

0.9 + x-x = 2x - 0.7-x

0.9 = x - 0.7

Next, you add 0.7 to the left side of the equation to put all of the numbers on the same side of the equation:

0.9+0.7 = x - 0.7+0.7

0.9+0.7 = x

Once you do this, you can add the numbers on the left side of the equation together and find that x = 1.6 .

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Example Question #5 : Two Step Equations With Decimals

Solve for x: 0.2x+99.4 = 108.9

Possible Answers:

x=47.5

x=41.66

x=1,041.5

x=4.75

x=1.9

Correct answer:

x=47.5

Explanation:

To solve, use inverse opperations: do the opposite steps in the opposite order. Order of opperations is usually PEMDAS, with addition and subtraction last, so we'll do addition/subtraction first:

0.2x+99.4 = 108.9 right now it says to add 99.4 , so we'll subtract it from both sides.

0.2x = 9.5 next we will do multiplication/dividion. Right now it is multiplying by 0.2 , so we will divide both sides by 0.2 .

x=47.5

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Pre-Algebra : Two-Step Equations with Decimals

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #1 : Two Step Equations With Decimals

Example Question #2 : Two Step Equations With Decimals

Example Question #1 : Two Step Equations With Decimals

Example Question #4 : Two Step Equations With Decimals

Example Question #5 : Two Step Equations With Decimals

Example Question #2 : Two Step Equations With Decimals

Example Question #2 : Two Step Equations With Decimals

Example Question #3 : Two Step Equations With Decimals

Example Question #3 : Two Step Equations With Decimals

Example Question #5 : Two Step Equations With Decimals

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