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Common Core: 7th Grade Math : Grade 7

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

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All Common Core: 7th Grade Math Resources

7 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #91 : The Number System

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

10-17

Negative number line

Possible Answers:

Correct answer:

Explanation:

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

Next, we have which means we need to move places to the left 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 17

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

10-17=-7

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Example Question #94 : The Number System

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

1-9

Negative number line

Possible Answers:

Correct answer:

Explanation:

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

1 9

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

1-9=-8

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Example Question #92 : The Number System

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

9-12

Negative number line

Possible Answers:

Correct answer:

Explanation:

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

9 12

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

9-12=-3

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

Evaluate:

(-1)-(-2)-3+(-4)

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.

(-1)-(-2)-3+(-4) = -1+2-3-4

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

-1+2-3-4= -6

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

Subtract: -(-9)-(-9)-6

Possible Answers:

Correct answer:

Explanation:

Eliminate the double negatives first.

Double negatives will result in a positive sign.

-(-9)-(-9)-6 = +9+9-6

Simplify the terms.

9+9-6 = 18-6 = 12

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

Solve.

-4 - (-3) -6 - (-12) =

Possible Answers:

Correct answer:

Explanation:

-4 - (-3) - 6 - (-12) =

-4 + 3 - 6 + 12 =

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

Solve:

-5+9-7

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. 9-5=4 . Now we have 4-7 . is greater than and it's negative so our answer is negative and we treat this like a subtraction problem. 7-4=3 , but since our answer should be negative our answer is .

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

Solve:

-2+(-9)+(2-9)

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.

-2+(-9)+(2-9) = -2-9+2-9 = -18

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

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

-12+5

Negative number line

Possible Answers:

Correct answer:

Explanation:

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

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,

-12+5=-7

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

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

-10+8

Negative number line

Possible Answers:

Correct answer:

Explanation:

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

10 8

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

-10+8=-2

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All Common Core: 7th Grade Math Resources

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Common Core: 7th Grade Math : Grade 7

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

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #91 : The Number System

Example Question #94 : The Number System

Example Question #92 : The Number System

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

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

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

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

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

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

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

All Common Core: 7th Grade Math Resources

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