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Pre-Algebra : One-Step Equations

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Example Questions

Example Question #32 : One Step Equations With Decimals

Solve: 0.2+x = 50

Possible Answers:

100

48.2

250

49.8

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 #31 : One Step Equations With Decimals

Solve for :

x-0.27=0.43

Possible Answers:

x=0.65

x=0.16

x=0.13

x=0.75

x=0.70

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 #33 : One Step Equations With Decimals

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:

$-\frac{1}{3}$

2.08

-4.16

$\frac{1}{3}$

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 #341 : Algebraic Equations

Solve: 0.33x = 66

Possible Answers:

200

$\frac{1089}{50}$

$\frac{20000}{11}$

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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Example Question #41 : One Step Equations With Decimals

Solve: 0.15x = 15

Possible Answers:

2.25

2500

225

100

Correct answer:

100

Explanation:

Divide 0.15 on both sides of the equation.

$\frac{0.15x}{0.15} = \frac{15}{0.15}$

x=100

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Example Question #343 : Algebraic Equations

Solve: 0.04x = 0.8

Possible Answers:

0.02

200

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 solve for , divide both sides by 0.04 .

$\frac{0.04x }{0.04}= \frac{0.8}{0.04}$

$\frac{0.8}{0.04} = \frac{80}{4}$

x=20

If dividing by decimals is difficult, just multiply both decimals by 100 to get integers.

$\frac{0.8\times 100}{0.04\times100} = \frac{80}{4}$

When you multiply by 100 you move the decimal two spaces to the right.

From here factor the numerator and cancel like terms.

$\frac{80}{4}=\frac{20\cdot 4}{4}=20$

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Example Question #46 : One Step Equations With Decimals

Solve: 0.3 + x = 0.03

Possible Answers:

2.7

-2.7

-2.07

2.07

-0.27

Correct answer:

-0.27

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.

Subtract 0.3 from both sides to isolate the .

0.3 + x -0.3= 0.03-0.3

Add a placeholder if necessary.

x= 0.03 - 0.30 = -0.27

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Example Question #42 : One Step Equations With Decimals

Solve: 0.35 = 0.02+x

Possible Answers:

0.15

0.37

3.7

0.55

0.33

Correct answer:

0.33

Explanation:

To isolate the unknown variable, subtract 0.02 on both sides of the equation.

0.35- 0.02= 0.02+x- 0.02

x=0.33

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Pre-Algebra : One-Step Equations

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #32 : One Step Equations With Decimals

Example Question #31 : One Step Equations With Decimals

Example Question #33 : One Step Equations With Decimals

Example Question #41 : One Step Equations With Decimals

Example Question #42 : One Step Equations With Decimals

Example Question #341 : Algebraic Equations

Example Question #41 : One Step Equations With Decimals

Example Question #343 : Algebraic Equations

Example Question #46 : One Step Equations With Decimals

Example Question #42 : One Step Equations With Decimals

All Pre-Algebra Resources

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