Welcome to the
Developmental Math II
Final Exam Review Study Session
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Question 1
6  18  9  4
Question 2
2
23  8  14  6  6
P
Question 3
8  (14)  9
Question 4
 66( x  5)  x
P
P
Question 5
Evaluate the given expression when
w  4.
 6 w  5w  3
2
Question 6
Solve for
r:
 2(9r  6)  6(r  5)
Solve for y :
Question 7
6
y  6  6
5
P
Question 8
Solve for t :
x  8 z  7t
Question 9
The sum of a number and 16 is 4 more than twice the
number. Write the equation that could be used to find
this number, x.
Question 10
• The length of a rectangle is 2 feet more than
the width. The perimeter of the rectangle is 72
feet. Find the length.
Question 11
Identify the proportion listed below that solves this
problem: A car can travel 500 miles on 5 gallons of
gasoline. How far can the car travel on 32 gallons of
gasoline?
x
5
32
a) 5
b)
500
c)

32
5
x

32 500
500
d)

x
500 32

5
x
Question 12
Simplify:
2 4 3
3 4
(a b ) (a b )
Question 13
5 3
Simplify:
a b
5 5
ab
Question 14
Simplify: ( a
2 4 0 3
b c )
Question 15
Convert to scientific notation: 0.000000195
Question 16
Simplify:
(7 x  8 x  4)  (6 x  8 x  5)
2
2
Question 17
Simplify:
 7 x(4 x  7)
Question 18
Simplify:
(4 x  7)(6 x  7)
Question 19
Factor completely:
30 y s  14 y s  24 y s
50 8
55 6
15 6
Question 20
Factor completely:
25 z  64 x
2
2
Question 21
Factor completely:
yr  yk  br  bk
Question 22
Identify a factor of the following trinomial:
6t  25t  4
2
a)
b)
c)
d)
(3t  2)
(3t  2)
(t  4)
(t  1)
Question 23
2 x  5x  3
2
x 1
2
Simplify:
Question 24
Solve:
x  6x  5  0
2
Question 25
Solve:
35 x  11x  6  0
2
Question 26
Assuming the variable represents a non-negative
number, simplify completely:
7
18 x w
4
Question 27
3 2 ( 10  5 2 )
Simplify completely:
Question 28
Solve the inequality:
14 x  4  26 x  20
Question 29
Find the y-intercept for:
 5 x  8 y  8
Question 30
Find the graph that best matches the given linear
equation:
1
y
a)
c)
2
x4
b)
d)