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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 #122 : Two Step Equations

Solve: 0.75x +1= -0.25x

Possible Answers:

$\frac{5}{4}$

$\frac{4}{5}$

$-\frac{1}{2}$

Correct answer:

Explanation:

In order to solve this equation, we need to group the terms and separate the integer .

Add 0.25x on both sides.

0.75x +0.25x -1=0

Add both sides by .

0.75x +0.25x -1+1=0+1

Add the left side of the equation to get .

The answer is: x= -1

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Example Question #741 : Pre Algebra

Solve the following equation: 9+0.9x = 19

Possible Answers:

$\frac{1}{90}$

$\frac{100}{9}$

$\frac{9}{100}$

Correct answer:

$\frac{100}{9}$

Explanation:

To isolate the variable, subtract nine from both sides of the equation.

9+0.9x -9= 19-9

Simplify both sides of the equation.

0.9x = 10

Convert the decimal on the left side of the equation to a fraction.

$0.9 = \frac{9}{10}$

Rewrite the equation.

$\frac{9}{10}x= 10$

Multiply both sides by $\frac{10}{9}$ to get by itself.

$\frac{9}{10}x \times \frac{10}{9}= 10 \times \frac{10}{9}$

Simplify both sides of the equation. Multiply the tens together on the right side of the equation and leave the fraction in improper form.

The answer is: $x= \frac{100}{9}$

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Example Question #124 : Two Step Equations

Solve the two-step equation below.

32x -8 = 224

Possible Answers:

x = 7.25

x = 200

x = 7424

x = 6.75

x = 8

Correct answer:

x = 7.25

Explanation:

Use properties of equality. Start with either subtraction or addition then multiplication or division.

32x -8 = 224

+ 8 + 8

32x = 232

Now divide by 32.

$\frac{32x}{32} = \frac{232}{32}$

x = 7.25

Check your answer by substituting 7.25 in place of x.

(32 * 7.25) - 8 = 224

232 - 8 = 224

224 = 224

Both sides are equal.

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Example Question #22 : Two Step Equations With Decimals

Find the solution for y.

1.25y-3.4=6.6

Possible Answers:

y=3.3

y=4

y=8

y=8.25

y=9

Correct answer:

y=8

Explanation:

In this two step equation we must isolate and find the solution of y. So the first step is to add both sides by 3.4 as follows:

1.25y - 3.4 +3.4 = 6.6 + 3.4

1.25y +0 = 10.0

1.25y=10.0

The next step is divide both sides by 1.25 as follows:

$\frac{1.25}{1.25}y=\frac{10.0}{1.25}\Rightarrow y =\frac{10.0}{1.25}=8$

You can check your answer by inserting 8 into y in the original equation as follows:

$1.25(8)-3.4=6.6\Rightarrow 10.0-3.4=6.6\Rightarrow 6.6=6.6$

It's correct!

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Example Question #674 : Grade 6

Solve for :

x+7=2

Possible Answers:

Correct answer:

Explanation:

Isolate the variable to one side.

Subtract from both sides:

x+7=2

x+7-7=2-7

x=-5

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Example Question #675 : Grade 6

Solve for :

3x=27

Possible Answers:

Correct answer:

Explanation:

We need to isolate by dividing by 3.

Remember, what you do on one side, you must do on the other side.

Since you divided by , you also have to divde by :

$\frac{3x}{3}= \frac{27}{3}$

x=9

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Example Question #3 : One Step Equations

Solve for $\small x$ :

x+1=0

Possible Answers:

$\small -1$

$\small 1$

Correct answer:

$\small -1$

Explanation:

To solve this you must isolate your $\small x$ by subtracting 1 from both sides to get

x=0-1 or x=-1

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Example Question #681 : Grade 6

Solve for x:

x + 4 = -12

Possible Answers:

x= -16

x= 4

x= -48

x= -8

x= -3

Correct answer:

x= -16

Explanation:

Step 1: isolate x

x+4-4=-12-4

x=-12-4

Step 2: solve

x=-16

If it's helpful, when you subtract a positive integer from a negative integer, you can think of it in terms of absolute value:

$-12-4=-\left | 12+4\right |=-\left | 16\right |=-16$

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Example Question #5 : One Step Equations

Solve for $\small x$ :

$\small 8x = 64$

Possible Answers:

Correct answer:

Explanation:

To solve this equation, isolate $\small x$ by dividing both sides of the equation by 8:

$\small 8x=64$

$\small \frac{8x}{8}= \frac{64}{8}$

$\small x=8$

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Example Question #682 : Grade 6

3x = 18

Possible Answers:

Correct answer:

Explanation:

To solve this equation, isolate the variable. Since 3x is a multiplication operation, do the opposite (division) to remove the 3. Keep in mind that you must do the same step on each side of the equation every time you change something.

$\frac{3x}{3} = \frac{18}{3} = 6$

x=6

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Pre-Algebra : Pre-Algebra

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #122 : Two Step Equations

Example Question #741 : Pre Algebra

Example Question #124 : Two Step Equations

Example Question #22 : Two Step Equations With Decimals

Example Question #674 : Grade 6

Example Question #675 : Grade 6

Example Question #3 : One Step Equations

Example Question #681 : Grade 6

Example Question #5 : One Step Equations

Example Question #682 : Grade 6

All Pre-Algebra Resources

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