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Pre-Algebra : Algebraic Equations

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 #15 : One Step Equations

Solve. -63+15

Possible Answers:

Correct answer:

Explanation:

Because the signs are different (63 is negative, 15 is positive) we can subtract: 63-15=48

Remember: the largest number always keeps its sign!

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Example Question #16 : One Step Equations

Solve for :

$\small 4x=32$

Possible Answers:

$\small 6$

$\small 5$

$\small 7$

$\small 9$

$\small 8$

Correct answer:

$\small 8$

Explanation:

To isolate , we must move all other numbers to the right hand side. Therefore, we must divide both sides by 4.

$\small \frac{4x}{4}=\frac{32}{4}$

$\small x=8$

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Example Question #18 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve for :

$\small x+8=12$

Possible Answers:

$\small 5$

$\small 3$

$\small 20$

$\small 19$

$\small 4$

Correct answer:

$\small 4$

Explanation:

To isolate , we must subtract 8 from both sides:

$\small x+8-8=12-8$

$\small x=4$

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Example Question #17 : One Step Equations

Solve the following equation:

x+4=20

Possible Answers:

Correct answer:

Explanation:

In order to solve this equation, you have to isolate the variable to one side by reversing the operations done to it. Whatever is done on one side of the equals sign must be done on the other side of the equals sign as well. When the variable is by itself, it will be defined as whatever is left on the other side of the equals sign, and the equation is solved.

x+4=20

Subtract from each side.

x+4-4=20-4

x=20-4

x=16

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Example Question #21 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve for :

x+6=10

Possible Answers:

$\frac{5}{3}$

Correct answer:

Explanation:

Explanation:

Isolate the variable to one side.

Subtract from both sides:

x+6=10

x+6-6=10-6

x=4

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Example Question #21 : One Step Equations

Solve for :

4x=12

Possible Answers:

x=8

x=48

x=16

x=3

Correct answer:

x=3

Explanation:

4x=12

$\frac{4x}{4}=\frac{12}{4}$

x=3

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Example Question #23 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve for .

x+4=12

Possible Answers:

x=3

x=0

x=7

x=8

x=16

Correct answer:

x=8

Explanation:

To get by itself, you must subtract 4 from both sides of the equation

x+4-4=12-4

which simplifies to

x=8

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Example Question #22 : One Step Equations

Solve for .

y-6=8

Possible Answers:

y=14

y=15

y=2

y=9

y=7

Correct answer:

y=14

Explanation:

To get y by itself on the left side of the equation, you must add 6 to both sides of the equation

y-6+6=8+6

which simplifies to

y=14

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Example Question #23 : One Step Equations

Solve for .

3x=18

Possible Answers:

x=54

x=7

x=3

x=6

x=9

Correct answer:

x=6

Explanation:

To get x by itself, you must divide by 3 on both sides

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

which simplifies to

x=6

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Example Question #24 : One Step Equations

Solve for .

$\frac{z}{2}=5$

Possible Answers:

z=10

z=5

z=2

z=0

z=12

Correct answer:

z=10

Explanation:

To get z by itself, you must multiply both sides of the equation by 2

$\frac{z}{2}\times2=5\times2$

which simplifies to

z=10

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Pre-Algebra : Algebraic Equations

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #15 : One Step Equations

Example Question #16 : One Step Equations

Example Question #18 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Example Question #17 : One Step Equations

Example Question #21 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Example Question #21 : One Step Equations

Example Question #23 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Example Question #22 : One Step Equations

Example Question #23 : One Step Equations

Example Question #24 : One Step Equations

All Pre-Algebra Resources

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