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Common Core: 8th Grade Math : Grade 8

Study concepts, example questions & explanations for Common Core: 8th Grade Math

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All Common Core: 8th Grade Math Resources

7 Diagnostic Tests 75 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #3 : Give Examples Of Linear Equations: Ccss.Math.Content.8.Ee.C.7a

Select the option that describes the solution(s) for the following equation:

43x=43x-34

Possible Answers:

One solution

Infinitely many solutions

No solution

Correct answer:

No solution

Explanation:

Let's begin by discussing our answer choices:

In order for an equation to have no solution, the equation, when solved, must equal a false statement; for example, 1=2

In order for an equation to have one solution, the equation, when solved for a variable, but equal a single value; for example, x=3

In order for an equation to have infinitely many solutions, the equation, when solved, must equal a statement that is always true; for example, 4=4

To answer this question, we can solve the equation:

$\frac{\begin{array}[b]{r}43x=43x-34\\ -43x -43x\ \ \ \ \ \ \end{array}}{0=-34}$

This equation equals a false statement; thus, the correct answer is no solution.

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Example Question #4 : Give Examples Of Linear Equations: Ccss.Math.Content.8.Ee.C.7a

Select the option that describes the solution(s) for the following equation:

0=13b-13b

Possible Answers:

Infinitely many solutions

One solution

No solution

Correct answer:

Infinitely many solutions

Explanation:

Let's begin by discussing our answer choices:

In order for an equation to have no solution, the equation, when solved, must equal a false statement; for example, 1=2

In order for an equation to have one solution, the equation, when solved for a variable, but equal a single value; for example, x=3

In order for an equation to have infinitely many solutions, the equation, when solved, must equal a statement that is always true; for example, 4=4

To answer this question, we can solve the equation:

0=13b-13b

0=0

This equation equals a statement that is always true; thus, the correct answer is infinitely many solutions.

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Example Question #161 : Grade 8

Select the option that describes the solution(s) for the following equation:

8=23b-23b+8

Possible Answers:

One solution

Infinitely many solutions

No solution

Correct answer:

Infinitely many solutions

Explanation:

Let's begin by discussing our answer choices:

In order for an equation to have no solution, the equation, when solved, must equal a false statement; for example, 1=2

In order for an equation to have one solution, the equation, when solved for a variable, but equal a single value; for example, x=3

In order for an equation to have infinitely many solutions, the equation, when solved, must equal a statement that is always true; for example, 4=4

To answer this question, we can solve the equation:

8=23b-23b+8

8=8

This equation equals a statement that is always true; thus, the correct answer is infinitely many solutions.

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Example Question #12 : Give Examples Of Linear Equations: Ccss.Math.Content.8.Ee.C.7a

Select the option that describes the solution(s) for the following equation:

0=-9y+9y

Possible Answers:

One solution

Infinitely many solutions

No solution

Correct answer:

Infinitely many solutions

Explanation:

Let's begin by discussing our answer choices:

In order for an equation to have no solution, the equation, when solved, must equal a false statement; for example, 1=2

In order for an equation to have one solution, the equation, when solved for a variable, but equal a single value; for example, x=3

In order for an equation to have infinitely many solutions, the equation, when solved, must equal a statement that is always true; for example, 4=4

To answer this question, we can solve the equation:

0=-9y+9y

0=0

This equation equals a statement that is always true; thus, the correct answer is infinitely many solutions.

Report an Error

Example Question #13 : Give Examples Of Linear Equations: Ccss.Math.Content.8.Ee.C.7a

Select the option that describes the solution(s) for the following equation:

14d+12=17d

Possible Answers:

Infinitely many solutions

No solution

One solution

Correct answer:

One solution

Explanation:

Let's begin by discussing our answer choices:

In order for an equation to have no solution, the equation, when solved, must equal a false statement; for example, 1=2

In order for an equation to have one solution, the equation, when solved for a variable, but equal a single value; for example, x=3

In order for an equation to have infinitely many solutions, the equation, when solved, must equal a statement that is always true; for example, 4=4

To answer this question, we can solve the equation:

$\frac{\begin{array}[b]{r}14d+12=17d\\ -14d\ \ \ \ \ \ \ -14d\end{array}}{12=3d}$

$\frac{12}{3}=\frac{3d}{3}$

4=d

This equation equals a single value; thus, the correct answer is one solution.

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Example Question #14 : Give Examples Of Linear Equations: Ccss.Math.Content.8.Ee.C.7a

Select the option that describes the solution(s) for the following equation:

-9x=-10x+8

Possible Answers:

Infinitely many solutions

No solution

One solution

Correct answer:

One solution

Explanation:

Let's begin by discussing our answer choices:

In order for an equation to have no solution, the equation, when solved, must equal a false statement; for example, 1=2

In order for an equation to have one solution, the equation, when solved for a variable, but equal a single value; for example, x=3

In order for an equation to have infinitely many solutions, the equation, when solved, must equal a statement that is always true; for example, 4=4

To answer this question, we can solve the equation:

$\frac{\begin{array}[b]{r}-9x=-10x+8\\ +10x\ +10x\ \ \ \ \ \end{array}}{12=3d}$

x=8

This equation equals a single value; thus, the correct answer is one solution.

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Example Question #162 : Grade 8

Select the option that describes the solution(s) for the following equation:

15y=5y+70

Possible Answers:

No solution

One solution

Infinitely many solutions

Correct answer:

One solution

Explanation:

Let's begin by discussing our answer choices:

In order for an equation to have no solution, the equation, when solved, must equal a false statement; for example, 1=2

In order for an equation to have one solution, the equation, when solved for a variable, but equal a single value; for example, x=3

In order for an equation to have infinitely many solutions, the equation, when solved, must equal a statement that is always true; for example, 4=4

To answer this question, we can solve the equation:

$\frac{\begin{array}[b]{r}15y=5y+70\\ -5y -5y\ \ \ \ \ \ \ \end{array}}{10y=70}$

$\frac{10y}{10}=\frac{70}{10}$

y=7

This equation equals a single value; thus, the correct answer is one solution.

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Example Question #163 : Grade 8

Select the option that describes the solution(s) for the following equation:

21=-16x+16x+21

Possible Answers:

Infinitely many solutions

No solution

One solution

Correct answer:

Infinitely many solutions

Explanation:

Let's begin by discussing our answer choices:

In order for an equation to have no solution, the equation, when solved, must equal a false statement; for example, 1=2

In order for an equation to have one solution, the equation, when solved for a variable, but equal a single value; for example, x=3

In order for an equation to have infinitely many solutions, the equation, when solved, must equal a statement that is always true; for example, 4=4

To answer this question, we can solve the equation:

21=-16x+16x+21

21=21

This equation equals a statement that is always true; thus, the correct answer is infinitely many solutions.

Report an Error

Example Question #1 : Systems Of Equations

Solve for :

8x-5-4x=-x+10

Possible Answers:

Correct answer:

Explanation:

8x-5-4x=-x+10 can be simplified to become

4x-5=-x+10

Then, you can further simplify by adding 5 and to both sides to get 5x=15 .

Then, you can divide both sides by 5 to get x=3 .

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Example Question #1 : Linear Equations

Solve for :

6x-1=12x+8-3x

Possible Answers:

Correct answer:

Explanation:

To solve for , you must first combine the 's on the right side of the equation. This will give you $\ 6x-1=9x+8$ .

Then, subtract and from both sides of the equation to get -9=3x .

Finally, divide both sides by to get the solution x=-3 .

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Common Core: 8th Grade Math : Grade 8

Study concepts, example questions & explanations for Common Core: 8th Grade Math

All Common Core: 8th Grade Math Resources

Example Questions

Example Question #3 : Give Examples Of Linear Equations: Ccss.Math.Content.8.Ee.C.7a

Example Question #4 : Give Examples Of Linear Equations: Ccss.Math.Content.8.Ee.C.7a

Example Question #161 : Grade 8

Example Question #12 : Give Examples Of Linear Equations: Ccss.Math.Content.8.Ee.C.7a

Example Question #13 : Give Examples Of Linear Equations: Ccss.Math.Content.8.Ee.C.7a

Example Question #14 : Give Examples Of Linear Equations: Ccss.Math.Content.8.Ee.C.7a

Example Question #162 : Grade 8

Example Question #163 : Grade 8

Example Question #1 : Systems Of Equations

Example Question #1 : Linear Equations

All Common Core: 8th Grade Math Resources

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