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Unit 1 - Operations with Rational Numbers Review

Total questions: 62

Worksheet time: 2hrs 52mins

Name
Class
Date
1.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
2.
-18 +(-6)
a)
3
b)
-3
c)
-12
d)
-24
3.
12 - (-12)
a)
24
b)
-24
c)
0
d)
-144
4.
How would -9 -(-5) look like as an addition problem?
a)
-9 + (-5)
b)
9 + 5
c)
-9 + 5
d)
9 + (-5)
5.
When multiplying or dividing a NEGATIVE and a POSITIVE number, your result will be...
a)
Positive
b)
Negative
c)
The sign of the larger absolute value
d)
The sign of the smaller absolute value
6.
Seventy feet above sea level
a)
positive
b)
negative
7.
A decrease of 5 inches.
a)
positive
b)
negative
8.
A bank withdraw of $25.00. 
a)
positive
b)
negative
9.
Negatives numbers are right or left of zero?
a)
right
b)
left
10.
Without using a number line, which choice shows from least to greatest. 
a)
-75, -83, -73, -51
b)
-73, -75, -51, -83
c)
-75, -83, -51, -73
d)
-83, -75, -73, -51
11.
Opposite of 142
a)
-142
b)
142
c)
+142
12.

Which is NOT negative?

a)

Withdrawal

b)

Loss

c)

Fine

d)

Bonus

13.
Darrel is currently 20 feet below sea level. Which correctly describes the opposite of Darrel's elevation?
a)
20 feet below sea level
b)
20 feet above sea level
c)
2 feet below sea level
d)
At sea level
14.

There are more positive integers than there are negative integers.

a)

True; there are more positives.

b)

False; there are more negatives.

c)

True; chocolate milk comes from chocolate cows.

d)

False; there is an equal amount of positive and negative integers.

15.

Order from smallest to greatest:

8, 4, -5, 12, -14, 3

a)

3, 4, -5, 8, 12, -14

b)

-14, -5, 3, 4, 8, 12

c)

12, -14, -5, 3, 4, 8

d)

-5, -14, 3, 4, 8, 12

16.

5×(−6)=....5\times\left(-6\right)=....  

a)

-11

b)

-15

c)

-30

d)

30

17.

12÷(−4)×5=....12\div\left(-4\right)\times5=....  

a)

-20

b)

-15

c)

15

d)

20

18.

−4+5×2−6=....-4+5\times2-6=....  

a)

3

b)

2

c)

1

d)

0

19.
Which situation could the integer -50 represent?
a)
An increase of $50 in a bank account
b)
The temperature on a warm spring day
c)
The distance driven on the way to the beach
d)
A decrease of 50 employees
20.
(-12) + 7
a)
5
b)
-5
c)
19
d)
-19
21.
(-10) + (-7)
a)
-17
b)
17
c)
3
d)
-3
22.
-6 + 12
a)
-18
b)
6
c)
-6
d)
NONE OF THESE
23.

8 - (-3)

a)

-11

b)

5

c)

-5

d)

11

24.

-18 - (-2)

a)

20

b)

-16

c)

-20

d)

16

25.

-25 - 8

a)

-33

b)

33

c)

17

d)

-17

26.
A submarine at -32 feet dives down 18 feet. After the dive, what will be the submarines elevation?
a)
14
b)
-14
c)
-50
d)
50
27.
(-58) - (-5) =
a)
+63
b)
-53
c)
+53
d)
-63
28.
During the week Jimmy spent $45 eating out, gained $55 mowing lawns and spent $15 on gas. What was Jimmy's change in dollars at the end of the week?
a)
$5
b)
- $5
c)
- $15
d)
$15
29.
 The temperature was -20 degrees in Alaska and  85 degrees in  Hawaii. What is the difference between the two temperatures?
a)
-20 +-85=-105
b)
85-(-20)= 105
c)
-20 -(85)= -65
d)
-20 - (-85)= 65
30.

0 _______ -2

a)

<

b)

>

c)

=

31.

-6 _______ -3

a)

<

b)

>

c)

=

32.

-14 _______ 14

a)

<

b)

>

c)

=

33.

0 _______ -23

a)

<

b)

>

c)

=

34.

-4 _______ -5

a)

<

b)

>

c)

=

35.

17 _______ -18

a)

<

b)

>

c)

=

36.

7 _______ -12

a)

<

b)

>

c)

=

37.

5 _______ -1

a)

<

b)

>

c)

=

38.

|17| _______ |-18|

a)

<

b)

>

c)

=

39.

|5| _______ |-1|

a)

<

b)

>

c)

=

40.
Theo had a balance of -$4 in his savings account. After making a deposit, he has $25 in his account. What is the overall change to his account?
a)
$29
b)
$25
c)
$24
d)
$30
41.
The temperature on a cold winter day starts out at 10 degrees, but it drops rapidly 24 degrees due to a strong cold front moving in.  What is the current temperature?
a)
14
b)
34
c)
-14
d)
-34
42.
What are the rules for subtracting integers?
a)
Change to multiplication and use the opposite of the second number.
b)
Change subtraction sign to addition and use the opposite of the second number.
c)
Find the opposite of both numbers and then add. 
d)
Subtract like normal and keep the larger sign. 
43.
solve 
a)
- 2/9
b)
- 5/9 
c)
2/9
d)
no there
44.
-5.7 + 0.9
a)
2.1
b)
-4.8
c)
-8.3
d)
-10.7
45.
a)
2.6785
b)
26.785
c)
-2.6785
d)
-26.785
46.
a)
-6/12
b)
-5/12
c)
5/12
d)
-5/7
47.
Divide.
a)
-1/10
b)
-5/8
c)
-2/20
d)
5/8
48.
What is the decimal equivalent of 3/5?
a)
0.3
b)
3.5
c)
0.6
d)
0.2
49.
Compare:  -2/3        -0.75
a)
>
b)
<
c)
=
50.
- 7/8 - 1/2
a)
- 11/7
b)
- 8/11
c)
-1 3/8
d)
-1 1/8
51.
-6.3(-0.6)
a)
-3.78
b)
5.76
c)
3.78
d)
-5.12
52.

In the world’s coldest freezer, sodium gas was cooled to a temperature of 78.5°C below zero and then cooled 194.65°C more. What was the new temperature of the sodium gas?

a)

–273.15°C

b)

–272.7°C

c)

–202.5°C

d)

–116.15°C

53.

Mr. Smith has an account balance of -$275.78. He deposits $139.20 into his account. What is Mr. Smith's account balance now?

a)

$-414.98

b)

$-136.58

c)

$136.58

d)

$414.98

54.

What is the value of the expression  −18−(−28)-18-\left(-28\right)  ?

a)

46

b)

-10

c)

10

d)

-46

55.

(1 15 ) + 8.5 =\left(1\ \frac{1}{5}\ \right)\ +\ 8.5\ =  

(a)  

56.

9.5 + 5 + 7.625 =9.5\ +\ 5\ +\ 7.625\ =  

(a)  

57.

True or False: All fractions are rational numbers

a)

True

b)

False

58.

True or False: All rational numbers are integers

a)

True

b)

False

59.

True or False: Terminating decimals and repeating decimals are both rational numbers

a)

True

b)

False

60.
Jose is selling peanuts at the carnival.  The original bag he purchased weighs 8 pounds.  If each bag he plans on selling will weigh 2 pounds, how many full 2lb bags can he sell?
a)
4 bags
b)
16 bags
c)
6 bags
d)
2 bags
61.

A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.

a)
-9 + (-22) = -13
b)
9 + (-22) = 13
c)
9 + (-22) = -13
d)
none
62.
Write the equivalent addition problem to 5 - (-8)
a)
5 + 8
b)
5 + (-8)