Review
Name___________________________
1) What is the additive inverse to -4? _____ How do you know?
2) Adding what card value will make this equivalent to 9?
3
-4
= 9
3) -2 – 7
4) -5 – (-8)
5) Find the distance between -3 and -5 using |
|. Show your work for credit.
6) Make sure to show the use of the property being applied in your work. -7
+ 3
7) 7 · -8 = ______
8) -9 · -6 = ______
9) Melinda spent $8 on lunch three different times this week. Write and solve an equation to represent
this situation using integers.
10) -60 ÷ -5 = _____
11) 36 ÷ -9 = _____
12) Jeffrey’s cable bill for the year is $1788. If he pays the same amount every month, what is the
monthly change in his bank account? Write and solve an equation to represent this situation using
integers.
13)
· 3 =
14) Jim owes Mark $15.44. Mark says that he will forgive
of the debt. Write and solve an equation to
determine how much money Mark forgave, and determine how much Jim still owes.
15)
÷
=
16) Demonstrate the use of properties while simplifying:
· -5 · -3 · -6 ·
17) Demonstrate the use of the distributive property and simplify:
-5(
·
)
18) Determine if the following are rational or irrational and explain how you know.
a) √
b)
c) √
__________________________________________________________________________
____________________________________________________________________________
__________________________________________________________________________
19) Demonstrate, with algebra, that a repeating decimal can be represented with a fraction. For partial
credit you may use the shortcut: 0.61
20) Estimate √
Between Integers:
Between the tenths place:
Justification:___________________________________________________________________________
_____________________________________________________________________________________
21)
+ 5 = 54
22)
= -64
23)
·3
24)
·3
25)
26) (
)
27) 3.8 x
+ 5.2 x
(remember to adjust the magnitude)
28) 4.3 x
- 0.00061
(remember to adjust the magnitude)
29)
30) (2.6 x
)(8.8 x
)
31) A single goose feather weighs approximately 0.000125 pounds. If a goose has approximately 25,000
feathers, about how many pounds of feathers are on the bird? Use scientific notation for your
calculations.
32) In 2012, Texas had a population of about 26 million people and North Dakota had a population of
about 6.9 ×
. About how many times more people were living in Texas than in North Dakota?
33) The mass of the moon is about
kg. It would take approximately 26,000,000 moons to
equal the mass of the sun. Determine the mass of the sun.