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Unit 4 Test Reivew

Total questions: 57

Worksheet time: 14hrs 15mins

Name
Class
Date
1.
What is the value of the expression
x2 + y2 + x - y 
when x = -1 and y = 3
a)
6
b)
8
c)
12
d)
16
2.
evaluate bc + 5a  
when  a = 3, b = 4, and c = -6
a)
9
b)
38
c)
-38
d)
-9
3.
a2-b2Evaluate if a=4 and b =-2
a)
4
b)
20
c)
-4
d)
12
4.
Solve the following:
-5 (- 6) + 10
a)
-1
b)
40
c)
-20
d)
21
5.
Solve the following:
3 + 27 ÷ (-3)
a)
-6
b)
-10
c)
10
d)
-12
6.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
7.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
8.
Evaluate the expression.   Let g = 3    h = 9 
4h + 2g + 4
a)
42
b)
46
c)
34
d)
58
9.
If p = -6, what does p + 4 equal?
a)
10
b)
-2
c)
-24
d)
-3
10.
Evaluate the expression.   Let g = 3 & h = 9, what is
4h + 2g + 4
a)
42
b)
46
c)
34
d)
58
11.

Simplify if w = -4


-7w2 + 2w

a)

104

b)

-64

c)

-120

d)

120

12.
the difference of 3 times a number and 7
a)
3 - 7n
b)
3n - 7
c)
3n + 7 
d)
3 / 7n
13.
m plus the product of 6 and n 
a)
m + 6n
b)
m - 6 + n
c)
6m + n
d)
m + 6 + n 
14.
5 less than the product of 7 and s
a)
7s - 5
b)
5 - 7 + s
c)
7(s - 5) 
d)
5 - 7s
15.
a number more than 12
a)
n + 12
b)
12n 
c)
12 + n 
d)
12 - n 
16.
The product of seven and j..
a)
7j
b)
j+3
c)
j-3
d)
j/3
17.
Five times Mike's age, increased by nine
a)
5(x+9)
b)
9(5+x)
c)
9x+5
d)
5x+9
18.
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
19.
5 more than the product of 7 and s
a)
7s + 5
b)
5 - 7 + s
c)
7(s - 5) 
d)
5 - 7s
20.
the sum of 3 times a number and 7
a)
3 - 7n
b)
3n - 7
c)
3n + 7 
d)
3 / 7n
21.
Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
a)
8 - 4m
b)
8m - 4
c)
8m + 4
d)
4m - 8
22.
"Subtracted from" and "less than" are terms that mean you need to "turn" or "flip"  the terms around.
a)
True
b)
False
23.

Mike is 6 years younger than Iris (x). What expression can be used to find Mike’s age?

a)

6 + x

b)

6 - x

c)

x - 6

d)

6x

24.
Pat worked 4 hours on Monday and 3 hours on Friday.
If he earned the same hourly rate each day, which expression best represents the situation?
a)
7x
b)
4x + 3x
c)
4 + 3x
d)
3 + 4
25.
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
26.
Admission to a circus is $16 for adults and $8 for children. Choose the expression to find the cost of 3 adult tickets and some number of children's tickets.
a)
48 + 8x
b)
16x + 8y
c)
16x + 64
d)
16x + 8x
27.
Shana was bragging about how much more music she than Eric on her phone.  When they calculated both amounts, she had the two times the difference between the square root of his amount m and pi squared. 
a)
2√m - π²
b)
2(√m - π)
c)
2(√m + π²)
d)
2(√m - π)²
28.

How many terms are in the algebraic expression?

2y + x + 4

a)

4

b)

3

c)

5

d)

2

29.

Identify the variable in the expression 5y+7?

a)

x

b)

5y

c)

y

d)

7

30.
Identify the coefficient in the expression.
6y + 7
a)
6y
b)
7
c)
6
d)
1
31.
How many terms are in the expression?
3x + 7+ p - 12
a)
3
b)
7
c)
4
d)
12
32.

Identify the constant:


7c + 8 y + 32

a)

7

b)

c

c)

y

d)

32

e)

8

33.

Identify the coefficient of the second term:


-9b + 4x - 9

a)

-9

b)

9

c)

4

d)

b

e)

x

34.
How is the number 9 best described in the expression
9m + 3n + 4
a)
coefficient
b)
variable
c)
constant
d)
term
35.
A letter that represents a number is called a _____.
a)
variable
b)
coefficient
c)
constant
d)
term
36.
A number with no variable attached is called a  _____.
a)
coefficient
b)
constant
c)
variable
d)
term
37.
Simplify the following expression:
-8 (5b + 2) -7 (b - 5)
a)
-33b + 19
b)
-47b2 +  21
c)
33b - 19
d)
-47b -19
38.
Simplify the following expression:
-7x +5 (1 - 8x)
a)
-33x + 5
b)
5 + 33x
c)
47x + 5
d)
5 - 47x
39.
Simplify the following expression:
-6x + 4(-x - 3)
a)
-2x - 12
b)
10x + 12
c)
-10x - 12
d)
-2x + 12
40.
Simplify the following expression:
-9(14p - 8) - 4p
a)
130p - 72
b)
122p - 72
c)
-130p - 18
d)
-130p + 72
41.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
42.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
43.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
44.
-r - 10r
a)
11r
b)
-11r
c)
9r
d)
-11
45.
-6k + 7k=
a)
k
b)
-k
c)
12k
d)
-12k
46.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
47.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
48.

Factor 12x - 20

a)

6(2x - 3)

b)

4(3x - 5)

c)

4x(3x - 5)

d)

3(4x + 6)

49.

Factor

11t − 23

a)

11(t − 23)

b)

t − 23

c)

can't be factored

d)

11(t − 2)

50.

Factor

8m − 24

a)

can't be factored

b)

m(8 − 24)

c)

4m(2 − 6)

d)

4(2m − 6)

51.
Factor:
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
52.
Factor:  
7x + 48y
a)
7(x + 7y)
b)
7(x + y)
c)
can't be factored
d)
7(x + 48y)
53.
Factor:  
7x + 48y
a)
7(x + 7y)
b)
7(x + y)
c)
can't be factored
d)
7(x + 48y)
54.
Factor:  
4x + 30y
a)
2(x + 15y)
b)
4(x + 15y)
c)
2(2x + 15y)
d)
can't be factored
55.
Factor Completely:
16w + 80m
a)
2(8w + 10m)
b)
16(w + 5m)
c)
4(4w + 20m)
56.
Factor Completely:
24+16q
a)
4(7+4q)
b)
8(3+2q)
c)
4(6q+2)
d)
24(24-16q)
57.
Factor completely
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable