Common Core: 7th Grade Math : Grade 7

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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Example Questions

Example Question #31 : Describe Situations In Which Opposite Quantities Combine To Make 0: Ccss.Math.Content.7.Ns.A.1a

For the equation provided, what value, when substituted for , will equal 

 

Possible Answers:

Correct answer:

Explanation:

In order to answer this question, we can solve for . When solving for  we need to isolate the  variable on one side of the equation. 

We can add  to both sides in order to isolate the variable, .

Example Question #222 : Grade 7

For the equation provided, what value, when substituted for , will equal 

 

Possible Answers:

Correct answer:

Explanation:

In order to answer this question, we can solve for . When solving for  we need to isolate the  variable on one side of the equation. 

We can add  to both sides in order to isolate the variable, .

Example Question #223 : Grade 7

For the equation provided, what value, when substituted for , will equal 

 

Possible Answers:

Correct answer:

Explanation:

In order to answer this question, we can solve for . When solving for  we need to isolate the  variable on one side of the equation. 

We can add  to both sides in order to isolate the variable, .

Example Question #31 : The Number System

For the equation provided, what value, when substituted for , will equal 

 

Possible Answers:

Correct answer:

Explanation:

In order to answer this question, we can solve for . When solving for  we need to isolate the  variable on one side of the equation. 

We can add  to both sides in order to isolate the variable, .

Example Question #32 : The Number System

Which value, when substituted for x, will make the equation  true?

Possible Answers:

Correct answer:

Explanation:

In order to answer this question, we can solve for . When solving for  we need to isolate the  variable on one side of the equation. 

We can add  to both sides in order to isolate the variable, .

Example Question #33 : The Number System

Add:   

Possible Answers:

Correct answer:

Explanation:

Simply the signs before solving. A positive sign multiplied with a negative sign will convert the sign to a negative, and a negative multiplied with a negative will convert the sign to a positive.

Example Question #2 : Negative Numbers

 is equal to which of the following?

Possible Answers:

Correct answer:

Explanation:

This is a straightforward problem. Remember that when adding a negative number, you are actually subtracting:

Be sure to remember that the first number is also negative, meaning we are subtracting a number from a negative number:

The answer is -6.25.

Example Question #4 : Negative Numbers

Evaluate:

Possible Answers:

Correct answer:

Explanation:

The sum of two numbers of unlike sign is the difference of their absolute values, with the sign of the "dominant" number (the positive number here) affixed:

Subtract vertically by aligning the decimal points, making sure you append the 3.2 with a placeholder zero:

This is the correct choice.

Example Question #2 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Possible Answers:

Correct answer:

Explanation:

When we add a negative number, the sign turns negative. Since we are adding two negative numbers, we treat this as an addition problem and add a minus sign in the end. 

Example Question #2 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Possible Answers:

Correct answer:

Explanation:

When dealing with negative numbers, let's see which number is greater.  is greater than  and is negative so the answer is negative. We treat this as a subtraction problem. . Because our answer should be negative, the correct answer is 

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