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Unit 1-3 CASE Review

Total questions: 92

Worksheet time: 3hrs 19mins

Name
Class
Date
1.
-3 ¼ + ½
a)
-2 ¾
b)
3 ¾
c)
-3 ¾
d)
2.
46.5 - (-64.25) =
a)
-110.75
b)
17.75
c)
110.75
d)
-17.75
3.
-4 1/8 - 1 3/4
a)
3 1/4
b)
-5 7/8
c)
-5 1/3
d)
-3 1/4
4.
-21 + 14
a)
positive
b)
negative
5.
-5(-34)
a)
positive
b)
negative
6.
83 - (-42)
a)
positive
b)
negative
7.
84 / -50
a)
positive
b)
negative
8.
92 + 85
a)
positive
b)
negative
9.
-55 / 104
a)
positive
b)
negative
10.
-88 - (-102)
a)
positive
b)
negative
11.
0 - 16
a)
16
b)
0
c)
-16
d)
5
12.
-10+4
a)
-14
b)
14
c)
-6
d)
6
13.
-12 + 9
a)
21
b)
3
c)
-3
d)
-21
14.
-7 x 4
a)
24
b)
28
c)
-28
d)
-24
15.
-27 / -27
a)
0
b)
-0
c)
1
d)
-1
16.
7 + (-14)
a)
7
b)
21
c)
-21
d)
-7
17.
-7 + -4
a)
-11
b)
-3
c)
3
d)
11
18.
If it is 85 degrees in California and -4 degrees in Nebraska, how many degrees warmer is it in California? 
a)
-89
b)
81
c)
89
d)
-81
19.
The high temperature on Wednesday was 93 degrees. What was the absolute value of the temperature on Wednesday?
a)
93
b)
-93
c)
0
d)
186
20.
What is the expression that matches this situation?
Robbie went parasailing. His sail reached 141 feet. It descended 22 feet before staying in the same place for 10 minutes. What was the height that it stayed in for 10 minutes?
a)
163 feet
b)
119 feet
c)
-191 feet
d)
19 feet
21.
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
22.
In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now?
a)
-7°F
b)
-21°F
c)
7°F
d)
21°F
23.
The price of a share of stock started the day at $37. During the day it went down $3, up $1, down $7, and up $4. What was the price of a share at the end of the day?
a)
$27
b)
$31
c)
$32
d)
$35
24.
A dolphin was swimming 23 feet under the surface of the water. He rose 8 feet, then it dropped back down 4 feet. It rose 21 feet. What is the location of the dolphin now?
a)
2 feet below sea level
b)
2 feet above sea level
c)
19 feet below sea level
d)
15 feet below sea level
25.
A climber starts a climb from 530 feet above sea level and keeps going until she reaches 10 feet below sea level.  How many feet did she descend?
a)
520 feet
b)
540 feet
c)
0 feet
d)
-520 feet
26.

Is this math sentence an expression or equation

a)

expression

b)

equation

c)

neither

27.

What are the variables in this sentence?

a)

5, -1

b)

there are none

c)

only x

d)

x, and y

28.

the constant is ____________

a)

5

b)

1

c)

2

d)

6

29.

how many terms in this sentence?

a)

only 1

b)

there are 2

c)

3

d)

5

30.

the terms in this sentence are

a)

5, x2, y and 6

b)

5x, y and 6

c)

5x2, -y, and +6

d)

there are no terms

31.

5 and 6 are the constants

a)

true

b)

false

c)

only 5

d)

only 6

32.

this is an expression or equation

a)

neither its a solution

b)

expression

c)

exponent

d)

equation

33.

how many terms in this sentence

a)

only 2

b)

x, 3, and 8 (3 total)

c)

4

d)

1, x, 3, and 8 (4 total)

34.

How many terms in this equation

a)

1

b)

3

c)

4

d)

none

35.

A symbol used to represent a quantity that can change

a)

quotient

b)

sum

c)

Variable

d)

numerical expression

36.

A value that does not change

a)

coefficient

b)

constant

c)

Inverse operation

d)

sum

37.

the parts of an expression that are added or subtracted

a)

coefficient

b)

variable

c)

term

d)

product

38.

A number multiplied by a variable in an algebraic expression.

a)

Coefficient

b)

evaluate

c)

verbal expression

d)

like terms

39.
3x-4=8
Is this an expression or an equation?
a)
expression
b)
equation
c)
I'm not sure
40.
5-6x
In the expression above, 5 is the...
a)
coefficient because it comes first
b)
constant because it is a whole number
c)
constant because it has no variable next to it
d)
solution because it is not next to the variable
41.
4x+6=10
In the equation above, the number 4 is called the
a)
constant because it is a whole number
b)
coefficient because it is a whole number
c)
coefficient because it is the number next to the variable
d)
solution because it is the number next to the variable
42.
If a = 4 & b = 6, what is 3a + 5b?
a)
40
b)
42
c)
44
d)
46
43.
Five times a number plus 4
a)
5xn+4
b)
5/n+4
c)
5n+4
d)
n5+4
44.

An expression that contains only numbers and operations

a)

numerical expression

b)

evalute

c)

coefficient

d)

variable

45.

A symbol used to represent a quantity that can change

a)

quotient

b)

sum

c)

Variable

d)

numerical expression

46.

A value that does not change

a)

coefficient

b)

constant

c)

Inverse operation

d)

sum

47.

the parts of an expression that are added or subtracted

a)

coefficient

b)

variable

c)

term

d)

product

48.
Solve 2x - 3 = 1 
a)
3
b)
2
c)
1
d)
-2
49.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
50.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
51.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
52.
2x + 6 ≥ -8
a)
x ≥ -7
b)
x ≤ -7
c)
x ≥ -10 
d)
x ≤ -10
53.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
54.
Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym. How many months has he been a member at the gym?
a)
12
b)
17
c)
64.5
d)
15
55.
What is the first step in solving the following equation?
3x - 5 = 20
a)
multiply both sides by 5
b)
add 5 to both sides
c)
divide both sides by 5
d)
subtract both sides by 5
56.
Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.
a)
h = 2(9) + 15
b)
33 = 15h + 2
c)
h = 15(9) + 2
d)
33 = 2h + 15
57.
Pizzazz Publications is having some books printed. The printer charges $800 plus $5 per book. What equation could help me find how many books can be printed for $4,000?
a)
800 + 5x = 4000
b)
800x + 5 = 4000
c)
4000 + 5x= 800
d)
800 + 5 = 4000
58.
The 30 members of a choir are trying to raise $1500 to cover travel costs to a signing camp. They have already raised $600. Which equation would you solve to find the average amount each member can raise in order to meet the goal?
a)
30x + 600 = 1500
b)
30x - 600 = 1500
c)
x + 600 = 1500
d)
30x = 1500
59.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63
60.
Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.
a)
.50x + 20 = 35
b)
.50x = 35
c)
.50 + 20x = 35 
d)
.50x - 20 = 35
61.
Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.
a)
11x + 6 = 39
b)
11x - 6 = 39
c)
11 + 6x = 39
d)
66x = 39
62.
Terry had his car repaired at Ace Auto.  He was charged $50 per hour of labor plus $150 for parts.  His total bill for the repair before tax was $375.  How many hours of labor was Terry charged for?
a)
2.5 hours
b)
4.5 hours
c)
7.5 hours
d)
10.5 hours
63.
Jared made sixty dollars mowing lawns over the summer. If he spent thirty-nine dollars buying new mower blades, how many seven dollar games could he buy with the money he had left?
a)
21 games
b)
3 games
c)
7 games
d)
99 games
64.
Evaluate 8a - b     if a = 10   and   b = 6
a)
74
b)
38
c)
1000
d)
9000
65.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
66.

Evaluate -2x + -3y if x = 10 and y = -6

a)

18

b)

-38

c)

12

d)

-2

67.

If p = -6, what does -10(p + 4) equal?

a)

2

b)

20

c)

-2

d)

-20

68.
Factor:
12x - 20
a)
4x(3 - 5)
b)
4(3x - 5)
69.

Factoring is the opposite of distributing

a)

True

b)

False

70.
Factor Completely:
-3x - 15
a)
-3 (x+ 5)
b)
3 (x + 5)
c)
-3 (x -5)
71.
Factor Completely:
-9u - 81
a)
9(u + 9)
b)
-9(u - 9)
c)
-9(u + 9)
72.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
73.
Simplify the following expression:
-6x + 4(-x - 3)
a)
-2x - 12
b)
10x + 12
c)
-10x - 12
d)
-2x + 12
74.

Simplify the following expression:

-8 (5b + 2) -7 (b - 5)

a)

-33b + 19

b)

-47b2 + 21

c)

33b - 19

d)

-47b + 19

75.
5(2x + 5) = 10x + 25
True or False
a)
True
b)
False
76.
2m + 2s + 5 -3 +6m4 _ m
How many constants? How many coefficients? How many variables?
a)
2,3,4
b)
1,2,3
c)
3,2,1
d)
2,1,3
77.
What is the GCF? 5x2+20x
a)
5
b)
x
c)
5x
d)
20x
78.
What is the GCF? 2x2-4x+8
a)
2x
b)
2
c)
x
d)
1
79.
Find GCF 15n3+25n2
a)
5
b)
15n
c)
5n2
d)
5n
80.
a + a + a + a
a)
a + 4 
b)
4a 
c)
a to the fourth power 
d)
4a + 4 
81.
(1/2)p - p2 + 0.2p + 3 -9p2
a)
-10.7p2 + 3
b)
-10p2 + 0.7p + 3
c)
- 13.7p2
d)
-10p2 + (3/2)p + 3
82.
simplify the following expression
- ( 2x + 7)
a)
- 2x + 7
b)
- 2x - 7
c)
2x - 7
d)
2x + 7
83.
simplify the following expression
- 3( 5a + 2 - 3c)
a)
15a + 6 - 9c
b)
-15a - 6 - 9c
c)
-15a + 9c -6
d)
-15a - 6 + 9
84.

Find the factors


16xy - 24y

a)

4y (4x - 6)

b)

8y (2xy - 3y)

c)

8y (2x - 3)

d)

2xy (8 - 12y)

85.

Factor out the GCF


3x3 + 9x

a)

3x (x2 + 3)

b)

3x ( x3 + 9)

c)

x (3x2 + 9)

d)

3x (x3 + 3x)

86.

3/2x – y + ½x + 3y

a)

2x + 2y

b)

4x - 2y

c)

x - 2y

d)

x + 4y

87.
a)

10x - 11

b)

6x - 11

c)

10x + 16

d)

-2x + 16

88.

2x(x)

a)

3x

b)

2x2

c)

2x

d)

4x2

89.

2a - 7a

a)

-5a

b)

2a

c)

9a

d)

-9a

90.

-x + 1 = 2

a)

2

b)

1

c)

-1

d)

-2

91.

-2(5n - 7) =

a)

-3n + 9

b)

-10n - 14

c)

10n + 14

d)

14 - 10n

92.

.025 is written as a percent...

a)

2.5%

b)

25%

c)

.025%

d)

75%