Module 3 Test Review

Adding Integers

100

A hiking trail begins at an elevation of 267 feet above sea level. It leads down to the shore of the ocean, which has an elevation of 0 feet above sea level. What integer represents the change in the elevation of the trail from beginning to end? (additive inverse)

-267

200

-12 + -5

-15 + 7

-9 + 23

-17

-8

14

300

-6 + 14 + -4 + 1

3 + -9 + 7 + -8

5

-7

400

A submarine is doing tests along the ocean bottom. It descends 240 feet, ascends 134, descends 92, then ascends 18. What integer represents the final location of the submarine?

-180

500

When adding integers, if they have the SAME SIGN, __________________________________________. 

When adding integers with DIFFERENT SIGNS, __________________________________________.

same sign - add the absolute values and keep the sign of the addends

different sign - subtract absolute values and use the sign of the larger addend

Subtracting Integers

100

-24 - 6

-18 - 3

-30

-21

200

67 - (-9)

-83 - (-18)

-56 - (-72)

76

-65

16

300

Find the distance between 14 and -5

19

400

Find x - y - z if x = -13, y = -6, and z = 4

-11

500

The top of a mountain has an elevation of 15,756 feet. The bottom of a valley has an elevation of -342 feet. What is the distance between the height of the mountain and the depth of the valley?

16,098 feet

Multiplying Integers

100

(-6)(-7)

(-8)(6)

9(-8)

-9(-7)

42

-48

-72

63

200

Evaluate xy if x = 19 and y = -19

-361

300

An airplane descends at a rate of 140 feet per minute. What integer represents the change in the airplane's altitude after 9 minutes?

-1,260 feet

400

Find xy²z when x = 5, y = 3, z = -4

-180

500

Find a²b³c when a = -2, b = 3, c = 7

756

Dividing Integers

100

-96 / -3

-72 / 4

-112 / -7 

32

-18

16

200

Evaluate m / n if m = -126 and n = -9

14

300

Evaluate p/q if p = -390 and q = 15

-26

400

Evaluate f / g if f = -192 and g = 12

Evaluate p / q if p = -663 and q = -17

-16

39

500

Erin made 4 withdrawals last month. Each time, Erin withdrew the same amount. If Erin withdrew a total of $1,060... what integer represents the change in his account after the first withdrawal?

-265

Order of Operations

100

-7(5) + (-4)

-39

200

( -18 / 2 ) - 4 + 3

-10

300

(6)(-4)(-2) - (-12)

60

400

Evaluate ab - c + (d/a) 

a = -2, b = -5, c = 7, d = 12

-3

500

Evaluate m² / n - (p + qr)

m = -4, n = 8, p = 3, q = -2, r = -1

-3