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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 #51 : Two Step Equations With Integers

Solve: 3-6x = 6

Possible Answers:

$-\frac{1}{3}$

$\frac{1}{2}$

$-\frac{1}{2}$

$-\frac{1}{4}$

$\frac{1}{4}$

Correct answer:

$-\frac{1}{2}$

Explanation:

Add on both sides of the equation.

3-6x +6x = 6+6x

3 = 6+6x

Subtract from both sides of the equation.

-3 =6x

Divide by on both sides of the equation.

$x=\frac{-3}{6} = -\frac{1}{2}$

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Example Question #54 : Two Step Equations With Integers

Solve: 3-x = x-6

Possible Answers:

$\frac{9}{2}$

Correct answer:

$\frac{9}{2}$

Explanation:

Add to both sides of the equation.

3-x +(x)= x-6+(x)

3=2x-6

Add on both sides.

9=2x

Divide by on both sides.

$x=\frac{9}{2}$

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Example Question #111 : Algebraic Equations

Evaluate: -5x + 15 = 85

Possible Answers:

Correct answer:

Explanation:

To solve for the unknown variable, subtract 15 from both sides.

-5x + 15 -15= 85-15

-5x = 70

Divide by negative five on both sides.

$\frac{-5}{-5}x = \frac{70}{-5}$

x=-14

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Example Question #52 : Two Step Equations With Integers

Solve: 3x+9 = 6

Possible Answers:

Correct answer:

Explanation:

To solve for , first subtract from both sides of the equation.

3x+9 -9= 6-9

Simplify the equation.

3x=-3

To isolate , divide by three on both sides of the equation.

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

Simplify both sides by division.

x=-1

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Example Question #51 : Two Step Equations With Integers

Solve.

16p - 8 = -7

Possible Answers:

p = -15

p = 1

p = 16

p = -1

$p = \frac{1}{16}$

Correct answer:

$p = \frac{1}{16}$

Explanation:

16p - 8 = -7

Add 8 to each side

16p = 1

Divide each side by 16

$p = \frac{1}{16}$

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Example Question #112 : Algebraic Equations

Solve for in the following equation:

5a + 12 = 57

Possible Answers:

a = 8

a = 5

a = 225

a = 9

a = 1.4

Correct answer:

a = 9

Explanation:

When solving for a, we want to get a by itself.

To do that, we must first subtract 12 from both sides.

5a + 12 = 57

5a + 12 - 12 = 57 - 12

5a = 45

Now, we divide both sides by 5.

$\frac{5a}{5} = \frac{45}{5}$

a = 9

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Example Question #52 : Two Step Equations With Integers

Solve:

$\frac{x}{7}-3=12$

Possible Answers:

225

105

Correct answer:

105

Explanation:

To solve for , we have to isolate it to one side, as follows:

$\frac{x}{7}-3=12$

$\frac{x}{7}-3+3=12+3$

$\frac{x}{7}=15$

$\frac{x}{7}(7)=15(7)$

x=105

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Example Question #52 : Two Step Equations With Integers

This is a two step equation which takes two steps to solve.

3x-4=5

Possible Answers:

x=0

x=4

x=3

x=2

x=5

Correct answer:

x=3

Explanation:

In this problem we must solve for x. We must isolate the variable x in order to solve the problem. The first step is to add 4 to both sides of the equation as follows:

3x-4+4=5+4

$3x+0=9\Rightarrow 3x=9$

The second step is to divide by 3 on both sides as follows:

$\frac{3x}{3}=\frac{9}{3}\Rightarrow x=\frac{9}{3}\Rightarrowx=3$

You can check your answer:

$3(3)-4=5\Rightarrow9-4=5\Rightarrow5=5$

It works!

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Example Question #61 : Two Step Equations With Integers

Solve for .

4x + 12 = 8

Possible Answers:

x = 5

x = 2

x = -1

x = 1

x = -2

Correct answer:

x = -1

Explanation:

When solving for x, we must get x to be by itself. So,

4x + 12 = 8

we subtract 12 from both sides. We get,

4x + 12 - 12 = 8 - 12

4x = -4

Now, we divide both sides by 4. We get

$\frac{4x}{4} = \frac{-4}{4}$

x = -1

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Example Question #62 : Two Step Equations With Integers

Solve for x in the following equation:

$\frac{x}{6} + 3 = -3$

Possible Answers:

x = 0

x = 6

x = -1

x = -36

x = -6

Correct answer:

x = -36

Explanation:

When solving for x, we want to get x to stand alone. So in the equation

$\frac{x}{6} + 3 = -3$

we first subtract 3 from both sides.

$\frac{x}{6} + 3 - 3 = -3 - 3$

$\frac{x}{6} = -6$

Now, we multiply by 6 on both sides.

$\frac{x}{6} \cdot 6 = -6 \cdot 6$

x = -36

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Pre-Algebra : Pre-Algebra

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #51 : Two Step Equations With Integers

Example Question #54 : Two Step Equations With Integers

Example Question #111 : Algebraic Equations

Example Question #52 : Two Step Equations With Integers

Example Question #51 : Two Step Equations With Integers

Example Question #112 : Algebraic Equations

Example Question #52 : Two Step Equations With Integers

Example Question #52 : Two Step Equations With Integers

Example Question #61 : Two Step Equations With Integers

Example Question #62 : Two Step Equations With Integers

All Pre-Algebra Resources

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