Common Core: 7th Grade Math : Add and Subtract Rational Numbers: CCSS.Math.Content.7.NS.A.1d

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

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Example Questions

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Example Question #1 : Add And Subtract Rational Numbers: Ccss.Math.Content.7.Ns.A.1d

Evaluate:  

Possible Answers:

Correct answer:

Explanation:

Break up the parentheses. Double negatives result in a positive sign, and positive with a negative sign will result in a negative sign.  

Next, simplify by adding and subtracting each component from left to right.

Example Question #2 : Add And Subtract Rational Numbers: Ccss.Math.Content.7.Ns.A.1d

Subtract:  

Possible Answers:

Correct answer:

Explanation:

Eliminate the double negatives first.  

Double negatives will result in a positive sign.

Simplify the terms.

Example Question #3 : Add And Subtract Rational Numbers: Ccss.Math.Content.7.Ns.A.1d

Solve.

Possible Answers:

Correct answer:

Explanation:

Example Question #4 : Add And Subtract Rational Numbers: Ccss.Math.Content.7.Ns.A.1d

Solve:

Possible Answers:

Correct answer:

Explanation:

Let's work from left to right since it's only subtraction and addition. Since  is greater than  and it's positive our answer is positive, but we treat this like a subtraction problem because the  is negative. .  Now we have  is greater than  and it's negative so our answer is negative and we treat this like a subtraction problem. , but since our answer should be negative our answer is 

Example Question #5 : Add And Subtract Rational Numbers: Ccss.Math.Content.7.Ns.A.1d

Solve:

  

Possible Answers:

Correct answer:

Explanation:

Solve by first combining signs and eliminate the parentheses.

A positive multiplied with a negative sign will give a negative sign.

Example Question #6 : Add And Subtract Rational Numbers: Ccss.Math.Content.7.Ns.A.1d

Use the number line provided to help solve the following problem:


Negative number line

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to start at  on the number line. 

 12

Next, we have  which means we need to move  places to the right on the number line. When we have an addition sign   we move to the right because that is towards the positive side of the number line. When we have a subtraction sign  we move to the left because that is towards the negative side of the number line. 

 12 5

The orange arrow moved  places to the right, and ended at ; thus,

Example Question #7 : Add And Subtract Rational Numbers: Ccss.Math.Content.7.Ns.A.1d

Use the number line provided to help solve the following problem:

Negative number line

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to start at  on the number line. 

 10

Next, we have  which means we need to move  places to the right on the number line. When we have an addition sign   we move to the right because that is towards the positive side of the number line. When we have a subtraction sign  we move to the left because that is towards the negative side of the number line. 

 10 8

The orange arrow moved  places to the right, and ended at ; thus,

Example Question #8 : Add And Subtract Rational Numbers: Ccss.Math.Content.7.Ns.A.1d

Use the number line provided to help solve the following problem:

Negative number line

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to start at  on the number line. 

 6

Next, we have  which means we need to move  places to the right on the number line. When we have an addition sign   we move to the right because that is towards the positive side of the number line. When we have a subtraction sign  we move to the left because that is towards the negative side of the number line. 

 6 9

The orange arrow moved  places to the right, and ended at ; thus,

Example Question #9 : Add And Subtract Rational Numbers: Ccss.Math.Content.7.Ns.A.1d

Use the number line provided to help solve the following problem:

Negative number line

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to start at  on the number line. 

 8

Next, we have  which means we need to move  places to the right on the number line. When we have an addition sign   we move to the right because that is towards the positive side of the number line. When we have a subtraction sign  we move to the left because that is towards the negative side of the number line. 

 8 16

The orange arrow moved  places to the right, and ended at ; thus,

Example Question #10 : Add And Subtract Rational Numbers: Ccss.Math.Content.7.Ns.A.1d

Use the number line provided to help solve the following problem:


Negative number line

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to start at  on the number line. 

 15

Next, we have  which means we need to move  places to the right on the number line. When we have an addition sign   we move to the right because that is towards the positive side of the number line. When we have a subtraction sign  we move to the left because that is towards the negative side of the number line. 

 15 8

The orange arrow moved  places to the right, and ended at ; thus,

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