Unit 2 Integers Operations Study Guide

Select the integer that best represents the expression -4 + 17.

• 21

• -21

• 13

• -13

Answer explanation

To add integers with different signs, subtract the smaller number from the larger number and use the sign on the larger number.

Tags

CCSS.7.NS.A.1C

Select the integer that best represents the expression (-3) - (-18).

• -21

• 21

• -15

• 15

Answer explanation

To subtract integers, rewrite the expression as an equivalent addition expression and follow the rules for adding integers. So (-3) - (-18) becomes (-3) + 18.

Tags

CCSS.7.NS.A.1C

Select the integer that best represents the expression 15 - 36.

• 21

• -21

• 51

• -51

Tags

CCSS.7.NS.A.1C

Select the integer that best represents the expression (-24) - 33.

• -57

• 57

• -9

• 9

Tags

CCSS.7.NS.A.1C

Select the integer that best represents the expression 40 - (-56).

• -96

• 96

• -16

• 16

Tags

CCSS.7.NS.A.1C

The temperature at sunrise was -5 degrees. By noon, it had dropped 12 degrees. In the next three hours, it increased 6 degrees. What was the temperature at 3 pm?

• 23

• 13

• -11

• -23

Answer explanation

(-5) -12 + 6 = (-5) + (-12) + 6

Tags

CCSS.7.NS.A.3

Dee had $500 in her bank account on Sunday. She wrote a $102 check for groceries on Monday. On Tuesday, she went to the ATM machine and took out $30. She got paid on Wednesday and deposited $450. How much is in Dee’s account after her deposit?

• $1,082

• $818

• $122

• - $82

Answer explanation

500 - 102 - 30 + 450

Tags

CCSS.7.NS.A.3

Jaime was scuba diving. She was exploring a coral reef 12 feet below the surface of the water when she saw something shiny. She descended another 7 feet to see if she could find the shiny object before ascending 15 feet to explore another section of the reef. What integer represents Jaime’s location from the surface of the water?

• -4 feet

• -10 feet

• -20 feet

• -34 feet

Answer explanation

(-12) - 7 + 15

Tags

CCSS.7.NS.A.3

Jane and Sarah both dive down from the surface of a pool. Jane first dives down 4 feet, and then dives down 6 more feet. Sarah first dives down 3 feet, and then dives down 6 more feet. Who is further from the surface of the pool?

• Jane

• Sarah

• Jane and Sarah are the same distance from the surface of the pool.

Answer explanation

Jane is (-4) - 6 or -10, which is 10 feet below the surface. Sarah is (-3) - 6 or -9, which is 9 feet below the surface.

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

Theo had a balance of –$5 in his savings account. After making a deposit, he has $35 in his account. Which integer can be used to describe the overall change to his account?

• $30

• $35

• $40

• - $5

Answer explanation

(-5) + x = 35

Tags

CCSS.7.NS.A.1A