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MASTERY TEST

Total questions: 60

Worksheet time: 4hrs 21mins

Name
Class
Date
1.

In which sets do the number 0 belong?

a)

irrational numbers

b)

non terminating decimals

c)

natural numbers

d)

whole numbers

2.

Which of the following is an irrational number?

a)

-6.5455

b)

3/4

c)

√16

d)

π

3.

Which of the following does not belong to the set?

a)

-1/2

b)

-9

c)

13

d)

√25

4.

Which of the following does not belong to the set?

a)

5 3/4

b)

1.333333333....

c)

1.618033988749...

d)

1/4

5.

Which of the following is not an integer?

a)

6

b)

0

c)

-3/4

d)

-√36

6.

In which set does the number 0.25 belong?

a)

rational numbers

b)

irrational numbers

c)

integers

d)

natural numbers

7.

Which of the following is not a rational number?

a)

-13

b)

0.875

c)

9/10

d)

0.3030030003...

8.

In which sets do the number 0 belong?

a)

irrational numbers

b)

non terminating decimals

c)

natural numbers

d)

whole numbers

9.

All whole numbers are rational.

a)

true

b)

false

10.

(a)   is/are set of whole numbers and its opposites

11.

Integers consist of positive numbers, negative numbers and (a)   .

12.

(a)   integers are whole numbers less than zero. These numbers are to the left of zero on the number line.

13.

(a)   is the reverse operation of addition.

14.

(a)   is the inverse operation of multiplication.

15.

When we multiply a negative integer to another negative integer, the answer is (a)   .

16.
Emily is a diver. Today she descended to a depth of 40 feet below sea level. Then she swam up 10 feet and descended another 4 feet. How far below sea level is Emily now?
a)
-34 feet
b)
-54 feet
c)
54 feet
d)
-26 feet
17.
The high temperature Monday was 4 degrees. The low temperature was -7 degrees. What is the difference between the high and low temperatures?
a)
3 degrees
b)
12 degrees
c)
11 degrees
d)
10 degrees
18.
Ty entered the elevator on the 10th floor. He rode up 3 floors, down 7 floors, up 2 floors, down 5 floors and up 6 floors, where he got off. On what floor did Ty get off the elevator?
a)
6th floor
b)
7th floor
c)
8th floor
d)
9th floor
19.

A submarine is 150 below sea level while an airplane is 375 above sea level. What is the difference between the height of the submarine and the airplane?

a)

-525

b)

525

c)

325

d)

-325

20.
Harvey and Dona want to test the range of the walkie-talkies they have. They start at Harvey's house and walk away from each other. Harvey goes to the store 4 miles away to the East and Dona goes to the park 5 miles West. How far apart are the walkie-talkies?
a)
9 miles
b)
1 mile
c)
-9 miles
d)
-1 mile
21.
When a submarine starts at sea level, goes down 250 feet, rises 80 feet, and descends another 18 feet, how would this be shown mathematically?
a)
250 + 80 + (-18)
b)
-250 + 80 - (- 18)
c)
250 + -( 80) + (- 18)
d)
-250 + 80 + (-18)
22.
If you run up 14 steps, fall down 12, and crawl up 22 more steps, how many steps are you from where you began?
a)
+48
b)
+24
c)
-20
d)
+22
23.
Which expression represents a temperature starting in the morning at 12 degrees below zero rising 14 degrees at noon, and falling 5 degrees that night?
a)
12 + 14 + (-5)
b)
- 12 + 14 + 5
c)
 12 + (-14) + (-5)
d)
- 12 + 14 + (-5)
24.
You were given $25 for your birthday and earned another $82 shoveling snow; however, you owed your sister $115 for the sneakers you wanted. What expression represents this?
a)
0 + 25 + 82 + 115
b)
0 + 25 + 82 + (-115)
c)
0 - 25 + 82 + 11
25.
The first play of a football game resulted in a loss of 12 yards.  Then a penalty resulted in another loss of 5 yards.  What is the total loss or gain?
a)
a gain of 7 yards
b)
a loss of 7 yards
c)
a gain of 17 yards 
d)
a loss of 17 yards
26.
A game show contestant starts a game by answering three questions incorrectly.  Each incorrect answer costs the contestant $900.  What integer would represent the point total for the contestant?
a)
$2700
b)
$300
c)
-$2700
d)
-$300
27.

Sandra is playing a trivia game. On her first turn she lost 75 points. On her second turn, she lost 35 points. On her third turn, she scored 100 points. What is Sandra's score after three turns?

a)

10 points

b)

0 points

c)

-135 points

d)

-10points

28.

Before he left the house to go on a walk, Curtis played a video game. He started with 0 points, lost 8 points 3 different times, won 4 points and then lost 2 points. How many points did he have when he left for his walk?

a)

-22

b)

-6

c)

30

d)

12

29.

The temperature drops 15o over the course of 5 hours. What is the average change in temperature over the 5 hours?

a)

3 degrees per hour

b)

-3 degrees per hour

c)

10 degrees per hour

d)

-10 degrees per hour

30.

Emma bought a used car for $1,000 from her friend. She agreed to pay her friend $200 each month until the debt was paid in full. How many months will Emma have to make the $200 payment until the car is paid off.

a)

10

b)

5

c)

4

d)

20

31.

There are 19 mangoes in a basket. Zoe put 15 more mangoes in the basket. How many mangoes are there altogether?

a)

34

b)

24

c)

43

32.

Philippine has 26 dolls. Olivia has 17 dolls. How many dolls there are in all?

a)

32

b)

43

c)

33

33.

Mr. Derby ate 45 grapes and 10 cherries for snack. How many fruits did he eat altogether?

a)

50

b)

60

c)

65

d)

55

34.

The temperature on Sunday was -15o C. The temperature on Monday was 12 degrees less than the temperature on Sunday. What was the temperature on Monday?

a)

-27

b)

-3

c)

3

d)

-27

35.

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

36.

Veronica sat in an auditorium. There were 3 rows behind her and 10 rows in front of her. If each row has 57 seats, what is the capacity if the auditorium?

(a)  

37.

Lara ears 130 pesos each day on her part-time job. How much will she earn in two weeks?

(a)  

38.

May bought 15 boxes of pencils for her donation drive. If each box contains 25 pencils, how many pencils will she donate in total?

(a)  

39.

The basketball team lost their last 6 games. They lost by a total of 48 points. Find the number of points lost each game.

a)

8 points per game

b)

7 points per game

c)

6 points per game

40.
34.  As a front passed, the temperature changed steadily over 6 hours.  Altogether it change -18 degrees.  What was the change in temperature per hour for the 6 hours?
a)
-18 ÷ 6 = -3 degrees
b)
18 ÷ 6 = 3 degrees
c)
18 + 6 = 24 degrees
d)
18 - 6 = 12 degrees
41.

What property is this?

a)

Multiplicative Inverse

b)

Multiplicative Identity

c)

Commutative

d)

Associative

42.
What property is this?
(n+13) + 4 = n + (13+4)
a)
Associative Property
b)
Commutative Property
c)
Additive Identity
d)
Distributive Property
43.

Which of the following is an example of the MULTIPLICATIVE PROPERTY OF ZERO?

a)

-76 x 0 = 0

b)

-9 + 9 = 0

c)

100 - 100 = 0

d)

49 + 0 = 49

44.

Which property is this:

a)

Additive Identity

b)

Additive Inverse

c)

Multiplicative Property of 0

d)

Multiplicative Inverse

45.
What is the ADDITIVE INVERSE of
-7
a)
-7
b)
-1/7
c)
1/7
d)
7
46.
What is the MULTIPLICATIVE INVERSE of
8
a)
-8
b)
-1/8
c)
1/8
d)
1
47.

Fill in the blank to properly show the DISTRIBUTIVE PROPERTY:

7(11 + 4) = 77 + ____

a)

3

b)

4

c)

7

d)

28

48.
What property is this?
1a = a
a)
Commutative Property of Multiplication
b)
Multiplicative Inverse
c)
Multiplicative Identity
d)
Distributive Property
49.
The Distributive Property would say
3(a + 2b) = ______
a)
3(2b + a)
b)
(a + 2b)3
c)
3a + 2b
d)
3a + 6b
50.
x 2 = 2 x 9
a)
Commutative Property of Multiplication
b)
Associative Property of Multiplication
c)
Multiplicative Inverse Property
d)
Distributive Property
51.
Apply distributive property to find an equivalent expression to:
a)
(-⅔ x ¾) + (-⅔ x ⅙)
b)
(-⅔ x ¾) x (-⅔ x ⅙)
c)
(-⅔ + ¾) x (-⅔ + ⅙)
d)
(-⅔ + ¾) + (-⅔ + ⅙)
52.
What property is this?
-11.3 + 0 = -11.3
a)
Additive Inverse
b)
Additive Identity
c)
Multiplicative Identity
d)
Multiplicative Property of Zero
53.
The Commutative Property of Addition would say
2n + 4 = _______
a)
2(n + 2)
b)
n2 + 4
c)
4 + 2n
d)
2n + 4
54.
What property is this?
77+(8+3) = (8+3)+77
a)
Commutative
b)
Associative
c)
Additive Identity
d)
Distributive
55.

Apply the DISTRIBUTIVE PROPERTY to solve this:

8(3 + 4) =

a)

24 + 32

b)

11 + 12

c)

123 + 124

d)

5 + 4

56.

What is the sum of (-3) + (-8)

a)

(11)

b)

(-11)

c)

5

d)

(-5)

57.

What is the sign of the quotient if we divide


(90)÷(5)\left(90\right)\div\left(-5\right)  

a)

negative

b)

positive

c)

neutral

d)

none of the above

58.

What is the sum of (-9) + (-4) ?

a)

5

b)

-5

c)

13

d)

-13

59.

Subtract (7) from (-9), what is the difference?

a)

-16

b)

16

c)

2

d)

-2

60.

Give the difference of (-10) - (-2) ?

a)

12

b)

-12

c)

8

d)

-8