WAYNE STATE UNIVERSITY MATH PROGRAM AT WESTERN INTERNATIONAL HIGH SCHOOL
ALGEBRA II IN-CLASS REVIEW/HOMEWORK 39 WINTER 2010 NAZELLI
Name:_______________________________________
Date:__________________________
Show all your work. Do not use a calculator to get your answers. You can, and should, use a calculator to
check your answers.
1) Evaluate:  3 x 2  8 x  2 when x  2 .
2) Two algebraic expressions are being shown as equal. Write “True” or “False.”
5x  2
 x2
5
3) Add or subtract, if possible. If not possible, write “NP”: x 5  x 4  x 4
4) Add:
2
5

x3 x3
5) Simplify by adding or subtracting wherever possible:  2 x 2 y  4 x  8 x 2 y  7 x

6) Subtract and simplify completely: 8x 2  3x  5x 2  2 x  4

 
7) Multiply and simplify completely: 3x 5 y 4 xy3
2
1 OF 10

8) Multiply and simplify completely: x  5x  1

9) Multiply and simplify completely: 3x  1 x 2  2 x  2
10) Multiply and simplify completely:  x  4 
11) Divide and simplify completely:

2
2a
c
 2
3
b
3d
12) Factor completely: xy5  3x 4 y 2  x 5 y 7
13) Factor completely: x 3  25 x
x5 y 4
14) Simplify completely: 2 9
x y
x 2  2x
15) Simplify completely:
xyz 3
2 OF 10
16) Solve: 4x  1  x  6
17) Solve:
2
7
x 1 
3
3
18) Solve:
x6
3
x
19) Solve for t: a 2 t  b  cd 3
20) Factor: x 2  x  20
21) Factor: 2 x 2  5 x  2
22) Solve: x 2  7 x  10  0
23) Solve: x 2  4 x  5
3 OF 10
24) Circle all of the following that are linear equations:
A) y  3x  5
25) Graph y  2 x  3 .
B) y  2 x 3  1
C) 2 x  y  1
y
x
4 OF 10
D) y  x
26) Graph x  3 .
y
x
27) Find the x-intercept of the line y  3x  6 .
28) Estimate the slope, if it exists, of each of the following lines. If the line doesn’t have a slope, write “No
Slope”.
a) m ≈ ________
b) m ≈ ________
y
x
y
x
5 OF 10
29) Graph the line that goes through 1,2 and has slope
3
.
4
y
x
30) What is the slope of the line  2 x  3 y  1 ?
31) Find the slope of the line that goes through the points 2,3 and 5,1 .
x  3 y  5
32) True or False? The pair 2,1 is a solution of the system 
2 x  y  7
6 OF 10
3x  y  1
33) Solve the system: 
y  x  5
2 x  y  9
34) Solve the system: 
x  3 y  1
35) An airline has coach seats and first class seats available for a flight to Chicago. The number of coach seats is
three more than two times the number of first class seats. The total number of coach seats and first class
seats is 219. How many coach seats and how many first class seats are available?
36) Does the parabola y  3x 2  4 x  5 open upward or downward?
7 OF 10
37) What is the vertex of the parabola below?
y
x
38) Find the vertex of the parabola y  2 x 2  4 x  3 .
39) Solve the inequality  2x  1  7 and graph the solutions on the given number line.
-4
-3
-2
-1
0
1
8 OF 10
2
3
4
5
40) Graph the inequality y  x  3 .
y
x
41) Simplify: 4.83
0
42) Simplify: 2 3
43) What number is 3.21  10 3 ?
44) Write the number .00057 in scientific notation.
9 OF 10
45) Simplify completely: x 5 y 4 x 2
46) Simplify completely:
x 3
y 5 z 4
47) Simplify: 8 7  3  2 7  2
48) Add: 5 3  12
49) Simplify completely:
50) Simplify completely:
9 x 6 y 10
x7
x3
10 OF 10