Common Core: 8th Grade Math : Grade 8

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

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Example Questions

Example Question #11 : Generate Equivalent Numerical Expressions: Ccss.Math.Content.8.Ee.A.1

Evaluate:

 

Possible Answers:

Correct answer:

Explanation:

The bases of all three terms are alike.  Since the terms are of a specific power, the rule of exponents state that the powers can be added if the terms are multiplied.

When we have a negative exponent, we we put the number and the exponent as the denominator, over 

Example Question #21 : How To Find The Properties Of An Exponent

Simplify:

 

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we start with the parentheses and exponents in the denominator. 

Next, we can bring the  from the denominator up to the numerator by making the exponent negative. 

Finally, to get rid of the negative exponent we can bring it back down to the denominator. 

Example Question #51 : Grade 8

Solve: 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall our exponent rules:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem

Solve for the exponents

We cannot leave this problem in this format because we cannot have a negative exponent. Instead, we can move the base and the exponent to the denominator of a fraction:

Solve the problem

Example Question #14 : Expressions & Equations

Solve: 

 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall our exponent rules:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem

Solve for the exponents

We cannot leave this problem in this format because we cannot have a negative exponent. Instead, we can move the base and the exponent to the denominator of a fraction:

Solve the problem

Example Question #15 : Expressions & Equations

Solve: 

 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall our exponent rules:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem

Solve for the exponents

We cannot leave this problem in this format because we cannot have a negative exponent. Instead, we can move the base and the exponent to the denominator of a fraction:

Solve the problem

Example Question #16 : Expressions & Equations

Solve: 

 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall our exponent rules:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem

Solve for the exponents

We cannot leave this problem in this format because we cannot have a negative exponent. Instead, we can move the base and the exponent to the denominator of a fraction:

Solve the problem

Example Question #52 : Grade 8

Solve: 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall our exponent rules:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem

Solve for the exponents

We cannot leave this problem in this format because we cannot have a negative exponent. Instead, we can move the base and the exponent to the denominator of a fraction:

Solve the problem

Example Question #52 : Grade 8

Solve: 

 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall our exponent rules:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem

Solve for the exponents

We cannot leave this problem in this format because we cannot have a negative exponent. Instead, we can move the base and the exponent to the denominator of a fraction:

Solve the problem

Example Question #53 : Grade 8

Solve: 

 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall our exponent rules:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem

Solve for the exponents

We cannot leave this problem in this format because we cannot have a negative exponent. Instead, we can move the base and the exponent to the denominator of a fraction:

Solve the problem

Example Question #54 : Grade 8

Solve: 

 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall our exponent rules:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem

Solve for the exponents

We cannot leave this problem in this format because we cannot have a negative exponent. Instead, we can move the base and the exponent to the denominator of a fraction:

Solve the problem

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