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Pre-Algebra : Pre-Algebra

Study concepts, example questions & explanations for Pre-Algebra

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11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #34 : One Step Equations With Decimals

-0.4x=0.8

Possible Answers:

-0.4

Correct answer:

Explanation:

-0.4x=0.8 Divide both sides by -0.4 . Both decimals each have one decimal place so the expression becomes: $\frac{-0.8}{0.4}=\frac{-8}{4}$ . When dividing negative values, we count the number of negative values. Since there's one, the answer is negative.

x=-2

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Example Question #35 : One Step Equations With Decimals

Solve for .

$\frac{x}{0.8}=2.13$

Possible Answers:

0.1704

1.704

17.04

170.4

1704

Correct answer:

1.704

Explanation:

$\frac{x}{0.8}=2.13$ Multiply both sides by 0.8 . When multiplying decimals, first multiply normally and then count the number of decimal places in the problem. We have . So starting from the right, we shift three place to the left to get a decimal of 1.704 .

x=1.704

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Example Question #36 : One Step Equations With Decimals

Solve for :

3.75b = 45

Possible Answers:

48.75

168.75

3.75

Correct answer:

Explanation:

3.75b = 45

Divide both sides by 3.75

b = 12

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Example Question #31 : One Step Equations With Decimals

Solve the equation for x. Give your answer to three decimal places.

0.543+x=1.275

Possible Answers:

x=-0.732

x=0.732

x=1.818

x=0.692

x=2.345

Correct answer:

x=0.732

Explanation:

Solve by isolating x on one side of the equation and collecting the decimal terms without variables on the other.

x=1.275-0.543=0.732

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Example Question #891 : Pre Algebra

Solve: 0.2+x = 50

Possible Answers:

49.8

48.2

250

100

Correct answer:

49.8

Explanation:

To solve this equation, we will need to isolate the unknown variable. Subtract 0.2 on both sides of the equation.

0.2+x -(0.2)= 50 -(0.2)

x=49.8

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Example Question #892 : Pre Algebra

Solve for :

x-0.27=0.43

Possible Answers:

x=0.75

x=0.13

x=0.70

x=0.16

x=0.65

Correct answer:

x=0.70

Explanation:

To solve for "x" means to get x by itself on one side of the equation.

To isolate x we perform the opposite mathematical operation that the equation calls for. This ensures that we cancel out one term which is needed to move towards our goal of getting x by itself.

x-0.27=0.43

Add 0.27 to both sides:

$x{\color{Red} -0.27+0.27}=0.43 +0.27$

x=0.70

The red terms cancel each other out and the right side is added as usual. The simplest way to add or subtract decimals is to align the decimal points and perform the indicated mathematical operation as you would with whole numbers.

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Example Question #892 : Pre Algebra

Solve: 0.2x = 10

Possible Answers:

100

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Therefore, divide both sides by 0.2 to solve for the unknown variable.

$\frac{0.2x }{0.2}= \frac{10}{0.2}=50$

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Example Question #41 : One Step Equations With Decimals

Evaluate: 0.06x = 3

Possible Answers:

0.2

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To isolate , divide both sides by 0.06 .

$\frac{0.06x}{0.06} = \frac{3}{0.06}$

x=50

If dividing by decimals is difficult, multiply the numerator and denominator by 100 to get whole numbers to divide.

$\frac{3\cdot 100}{0.06\cdot 100}=\frac{300}{6}$

Next factor the numerator to find a common factor to cancel out.

$=\frac{300}{6}=\frac{6\cdot 50}{6}=50$

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Example Question #42 : One Step Equations With Decimals

Solve: 1.04x = -3.12

Possible Answers:

$-\frac{1}{3}$

-4.16

$\frac{1}{3}$

2.08

Correct answer:

Explanation:

To determine the value of the unknown variable, isolate the term by dividing both sides by 1.04 .

$\frac{1.04x}{1.04} = \frac{-3.12}{1.04}$

x=-3

If dividing by decimals is difficult, you can convert each decimal into an integer by multiplying each number by 100 or moving the decimal to the right two places.

$\\1.04\times 100 x=-3.12\times 100\\ 104x=-312$

Now divide,

$\frac{104x}{104}=\frac{-312}{104}=\frac{-3\cdot 104}{104}=-3$

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Example Question #41 : One Step Equations With Decimals

Solve: 0.33x = 66

Possible Answers:

$\frac{20000}{11}$

$\frac{1089}{50}$

200

Correct answer:

200

Explanation:

To solve for the unknown variable, divide both sides by 0.33 .

$\frac{0.33x }{0.33}= \frac{66}{0.33}$

x=200

If dividing by decimals is difficult, you can convert the decimal into an integer by multiplying the decimal number by 100 or moving the decimal to the right two places.

${0.33x \times 100 }= 66 \times 100$

33x=6600

Now divide each side by 33 and then factor the numerator to simplify the fraction.

$\frac{33x}{33}=\frac{6600}{33}$

$x=\frac{200\cdot 33}{33}=200$

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Pre-Algebra : Pre-Algebra

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #34 : One Step Equations With Decimals

Example Question #35 : One Step Equations With Decimals

Example Question #36 : One Step Equations With Decimals

Example Question #31 : One Step Equations With Decimals

Example Question #891 : Pre Algebra

Example Question #892 : Pre Algebra

Example Question #892 : Pre Algebra

Example Question #41 : One Step Equations With Decimals

Example Question #42 : One Step Equations With Decimals

Example Question #41 : One Step Equations With Decimals

All Pre-Algebra Resources

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