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Pre-AP Practice

Total questions: 122

Worksheet time: 6hrs 2mins

Name
Class
Date
1.
Which expression matches:
The sum of 6 and 5 doubled
a)
2 x 6 + 5
b)
2 x (6 + 5)
c)
6 + (5 x 2)
2.
What step would I do second?
 (4 - 2) x 9 + 7 =
a)
multiplication
b)
subtraction
c)
addition
d)
dividing
3.
(19 - 7) ÷ 4 + 11
a)
14
b)
0.8
c)
15
d)
13
4.
What does the (E) in PEMDAS mean?
a)
experience
b)
exponents
c)
examples
d)
evidence
5.
(3 + 4)2 - 32 
a)
7
b)
112
c)
17
d)
-7
6.
True or false:
Addition ALWAYS comes before subtraction.
a)
True
b)
False
7.
2 + 7 ⋅ 5
a)
37
b)
45
c)
32
d)
23
8.
12 ÷ 3 x 4
What do you do first?
a)
3x4
b)
12÷4
c)
12÷3
9.
What would you solve first?
3 x 48 ÷ (15 - 3)
a)
3 x 48
b)
48 / 15
c)
15 - 3 
d)
48-12
10.
3 more than x
a)
3x
b)
3 + x
c)
x - 3
11.
g divided by 9
a)
9g
b)
g-9
c)
g/9
d)
9/g
12.
A number less 11
a)
11 - n
b)
n - 11
c)
n/11
d)
11/n
13.
The quotient of a number and 8
a)
8g
b)
8/g
c)
g+8
d)
g/8
14.
Three times the sum of 2 and e. 
a)
3e+2
b)
3(e-2)
c)
3(e+2)
d)
2e+3
15.
The difference of h and 9 divided by 3.
a)
h-9/3
b)
(n-9)/3
c)
(9-h)/3
d)
9-h/3
16.
The product of 7 and j..
a)
7j
b)
j+3
c)
j-3
d)
j/3
17.
Five times Mike's age, increased by 9
a)
5(x+9)
b)
9(5+x)
c)
9x+5
d)
5x+9
18.
What are the variables of  
7x + 6y - 9
a)
6,7
b)
9
c)
6y, 7x
d)
x, y
19.
Strawberries are $1.95 a pound. Write an expression for p pounds of strawberries. 
a)
$1.95+p
b)
$1.95-p
c)
$1.95/p
d)
$1.95p
20.
Which expression matches:
The sum of 6 and 5 doubled
a)
2 x 6 + 5
b)
2 x (6 + 5)
c)
6 + (5 x 2)
21.
What step would I do second?
 (4 - 2) x 9 + 7 =
a)
multiplication
b)
subtraction
c)
addition
d)
dividing
22.
(19 - 7) ÷ 4 + 11
a)
14
b)
0.8
c)
15
d)
13
23.
What does the (E) in PEMDAS mean?
a)
experience
b)
exponents
c)
examples
d)
evidence
24.
(3 + 4)2 - 32 
a)
7
b)
112
c)
17
d)
-7
25.
What is the coefficient?
-9 + -5x
a)
-9
b)
-5
c)
x
26.

Write the following in exponential (standard) form:

8 • 8 • 8 • 8

a)

8 • 4

b)

48

c)

84

d)

8888

e)

8 + 8 + 8 + 8

27.

Evaluate the following expression:

(36 – 52) + 12 ÷ 4

a)

14

b)

11

c)

23

d)

5.75

e)

17.5

28.

EVALUATE the following expression:

34

a)

12

b)

64

c)

3333

d)

81

e)

1

29.

Write the following as an algebraic expression:

3 more than 2 times a number.

a)

2n + 3

b)

3n + 2

c)

2n – 3

d)

3n – 2

e)

2 • 3 + n

30.

Evaluate the following if x =6, y = 3, and z = 12:


x2 + y3 + z

a)

33

b)

21

c)

75

d)

26

e)

42

31.

Name the property being used:


8 + (4 + 11) = (8 + 4) + 11

a)

Associative

b)

Commutative

c)

Zero

d)

Identity

32.

Name the property being used:


5 + 0 = 5

a)

Commutative

b)

Associative

c)

Zero

d)

Identity

33.

Evaluate:


15 – 12 + 6

a)

3

b)

9

c)

–3

d)

8

e)

6

34.

Evaluate if x = 100, y = 2, z = 4


x – 8z + 4y

a)

76

b)

34

c)

60

d)

68

e)

32

35.

Write the following as an algebraic expression:


The quotient of a number and 7.

a)

n + 7

b)

n – 7

c)

7n

d)
36.

Identify the COEFFICIENTS in the following expression:


9x + y + 7 + 2x

a)

9, 2

b)

7

c)

9x, 2x

d)

9, 1, 2

e)

9x, y, 2x

37.

Name the property being used:


1 • 17 = 17

a)

Commutatitve

b)

Associative

c)

Identity

d)

Zero

38.

Identify the constants in the following expression:


5a + 7 + 2a + 18

a)

5a and 2a

b)

7 and 18

c)

5 and 2

d)

There are none.

39.

Evaluate the following:


105

a)

10,000

b)

100,000

c)

10 • 10 • 10 • 10 • 10

d)

50

e)

5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5

40.

10 • 7 – (2 • 42)

a)

38

b)

47

c)

57

d)

32

e)

24

41.

Simplify the following expression:


7a + 2(8a + 5) + 6

a)

23a + 16

b)

17a + 13

c)

23a + 11

d)

17a + 16

e)

33a + 6

42.
Evaluate 4y  if       y = 3
a)
7
b)
12
43.
Evaluate -2x  if     x = 10
a)
-8
b)
20
c)
-20
44.
Write an algebraic expression for "12 more than number". 
a)
x + 12
b)
12x
c)
x - 12
45.
Write an algebraic expression for "8 less than a number".          
a)
8x
b)
x - 8
c)
8 - x
46.
Evaluate 7 + j if     j = -2
a)
-14
b)
14
c)
5
d)
9
47.
Evaluate m² if      m = 5
a)
10
b)
25
48.
Evaluate 2r + 1      if   r = 3
a)
6
b)
5
c)
7
d)
8
49.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
50.
Evaluate 8a - b     if a = 10   and   b = 6
a)
74
b)
38
c)
1000
d)
9000
51.
Evaluate 6ab + 2c if a = 3, b = 10, and       c = 7
a)
19
b)
194
c)
180
d)
14
52.
3 + -7
a)
10
b)
4
c)
-10
d)
-4
53.
-9 + (-5)
a)
-14
b)
14
c)
-4
54.
10 + (-4) = ?
a)
-6
b)
6
c)
14
d)
-14
55.
-14 + (-3)
a)
-17
b)
11
c)
-11
d)
17
56.
-7 - 2
a)
-9
b)
9
c)
5
d)
-5
57.
-8 - (-4) =
a)
12
b)
-12
c)
4
d)
-4
58.
5-19
a)
14
b)
24
c)
-14
d)
-24
59.
-2 - (-10) = ?
a)
-12
b)
12
c)
8
d)
-8
60.
-8 - 8 =
a)
16
b)
0
c)
-16
d)
9
61.
6 + (-10) =
a)
16
b)
-16
c)
4
d)
-4
62.
-7 - (-7)
a)
14
b)
0
c)
-14
d)
1
63.
-4 + 10 + (-2)
a)
-4
b)
4
c)
-16
d)
14
64.
What is 16- (-9) ?
a)
-7
b)
11
c)
15
d)
25
65.
|6| + |-3|
a)
3
b)
-3
c)
-9
d)
9
66.
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
67.
The temperature at 6:00 was 9 degrees below zero.  The temperature dropped to 11 degrees below zero at 8:00. What is the difference between temperatures? 
a)
18 degrees
b)
20 degrees
c)
2 degrees
d)
0 degrees
68.
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
69.
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
70.
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
71.
Which of the following expressions has the greatest value?
a)
-7+(-3)
b)
11-(-5)
c)
-9+5
d)
12-6
72.

8-(-9)

a)

-1

b)

-17

c)

1

d)

17

73.

11-6

a)

-17

b)

5

c)

17

d)

-5

74.

12-13

a)

1

b)

25

c)

-25

d)

-1

75.

12+(-12

a)

24

b)

0

c)

-24

d)

-0

76.

Is a positive and a positive is always a positive

a)

Always

b)

Sometimes

c)

Never

77.

-8 x 7 =

a)

56

b)

-56

c)

15

d)

-15

78.

6 x (-5) =

a)

30

b)

-30

c)

11

d)

-11

79.

-3 x -8 =

a)

24

b)

-24

c)

11

d)

-11

80.

-3 x -4 =

a)

12

b)

-12

c)

7

d)

-7

81.

16 x -2 =

a)

32

b)

-32

c)

18

d)

-18

82.

(-4) x (-6) =

a)

24

b)

-24

c)

10

d)

-10

83.

6 x (-6) =

a)

36

b)

-36

c)

12

d)

-12

84.

9 x (-4) =

a)

36

b)

-36

c)

13

d)

-13

85.

(-4) x (-10) =

a)

40

b)

-40

c)

14

d)

-14

86.

(-5) x 0 =

a)

0

b)

1

c)

2

d)

-5

87.

-14 x 3 =

a)

42

b)

-42

c)

17

d)

11

88.

-7 x (-10) =

a)

70

b)

-70

c)

-17

d)

3

89.

17 x ( -1 ) =

a)

-17

b)

17

c)

1

d)

-1

90.

-9 x 9 =

a)

-81

b)

81

c)

18

d)

0

91.

5 x (-2)

a)

10

b)

-10

c)

7

d)

3

92.

(-4) x (-12) =

a)

48

b)

16

c)

-16

d)

-48

93.

8 x (-11) =

a)

8

b)

88

c)

-88

d)

19

94.

-7 x -5

a)

35

b)

-35

c)

12

d)

-12

95.

0 x (-20) =

a)

-20

b)

0

c)

1

d)

2

96.

-2 x -3 =

a)

6

b)

-6

c)

-5

d)

1

97.
six less than the number of men
Let m = number of men
a)
6 - m
b)
m - 6
98.
four more than the number of books
Let b = number of books
a)
b + 4
b)
b - 4
99.
six times the number of girls
Let g = number of girls
a)
6 + g
b)
6g
c)
g - 6
100.
eight plus triple the number of shirts
Let s = number of shirts
a)
8 + 3s
b)
8 + s
c)
3s - 8
101.
eleven less than twice the number of people
Let p = number of people
a)
11 - 2p
b)
2p - 11
102.
nine increased by the number of gallons
Let g = number of gallons
a)
9 + g
b)
g - 9
103.
Let "p" represent the number of paper clips in a box.  If there are 76 boxes in a case, write an algebraic expression to show the total number of paper clips.
a)
125p
b)
76(p)
c)
76 + p
d)
125 = p
104.
Let "p" represent the number of paper clips in a box.  If there are 76 boxes in a case, write an algebraic expression to show the total number of paper clips.
a)
125p
b)
76(p)
c)
76 + p
d)
125 = p
105.
8w is another name for
a)
8 times w
b)
w multiplied by 8
c)
the product of 8 and a number
d)
all of the above
106.
2 times the difference of t and 11
a)
2t - 11
b)
2(t - 11) 
c)
2(t / 11)
d)
2 x t - 11
107.
4 divided by the sum of a number and 12
a)
4 / n + 12
b)
4 / 12n
c)
4 / (n + 12) 
d)
(4 / n) + 12
108.
the quotient of twenty and a number
a)
20/n
b)
20-n
c)
n+20
d)
n-20
109.
There were x cookies at the beginning of a party. By the end of the party, 16 of them had been eaten. Using x, write an expression for the number of cookies that were left.
a)
16
b)
x + 16
c)
16 - x
d)
x - 16
110.
I open a saving account with $200 and plan to put $50 per month in the account.
Which expression represents this situation after x number of months?
a)
200 + 50x
b)
200x + 50
c)
200 + x + 50
d)
12x(50 + 200)
111.
A coefficient is best defined as:
a)
The number that stands by itself
b)
A letter that represents a missing number
c)
A number being multiplied by a variable
d)
The number after the variable
112.
triple the sum of x and 5
a)
3 + x + 5
b)
3 ∙ x + 5
c)
3(x + 5)
d)
(3x) + 5
113.

Justin is purchasing a new iPhone. The sales clerk says that if he pays $100 now his monthly payments will be $25. Which expression can be used to determine how much Justin will pay for the phone?

a)

25x + 100

b)

25x - 100

c)

600 - 100x

d)

600 + 25x

114.

A gymnastics center charges a $60 registration fee and $15 per class. Which expression determines how much money Olivia will pay for gymnastics if x is the number of classes?

a)

60 - 15x

b)

15x - 60

c)

15x + 60

d)

210 + 15x

115.

The admission fee to an amusement park is $45 per adult and $25 per child. A tour group of 2x adults and 3x children visited the park. How much did the tour group pay in total?

a)

$420

b)

$70

c)

6x(70)

d)

$165x

116.

Colin had x dollars to spend in a week. He spent $20 on Monday and $20 on Tuesday. He then spent the rest of the money equally on each day for the rest of the week. How much did Colin spend on Thursday?

a)

x/5

b)

x-40/5

c)

(x-40)/3

d)

$20

117.
Pam put pink frosting on one-fourth of the cookies she made. If y is the total number of cookies she made, which expression shows the number of cookies with pink frosting?
a)
¼ y
b)
¼ + y
c)
y - ¼
d)
y ÷ ¼
118.
Sarah lives 5 miles farther from school than Grant. If g represents the distance Grant lives from school, which expression represents the total number of miles Sarah and Grant travel to school?
a)
(g + 5) + g
b)
(5 × g) + g
c)
(g + 5) + 5
d)
(5 × g) × 5
119.
Matthew is 3 times older than Brian. If x represents Brian’s age, which expression represents the combined age of Matthew and Brian?
a)
3x
b)
3x + x
c)
x + 3
d)
x + x + 3
120.
The first side of a triangle is x feet long. The second side is three times the first, and the third side is two feet more than the second. Which expression represents the third side?
a)
3x
b)
x + 2
c)
3x + 2
d)
x + 3(2)
121.
Mr. Krabs has 100 more dollars than Squidward. Which equation represents this situation?
Mr. Krabs = K
Squidward = S
a)
S = 100 + K
b)
S = 100K
c)
K = 100S
d)
K = 100 + S
122.

What is Mrs. Turner favorite color?

a)

Pink

b)

Purple

c)

Red

d)

Yellow