Elementary Algebra Practice Test 3

NO CALCULATORS! This practice exam should take approximately 1 hour to complete. When you're finished, click "Grade the Test" at the bottom of this screen. This score has no effect on your grade in the course, and Mr. Flacche does not see the results of this practice test. It is only intended for your personal assessment of your skills.

**This is not a replica of the test you will see in class, and should not be your only study guide while preparing for the exam. Make sure to practice exercises from the text, workbook and Connect before taking the in-class test!**



1.
Perform the indicated operations.
   25 + 13 – 21 – (–23) + 7
A.
47
B.
1
C.
89
D.
43


2.
Combine like terms.
   10x 6 + 6x 3 – 3x
A.
4x 9
B.
19x 3
C.
13x 9
D.
4x 3


3.
Simplify.
   14(5y 4) – 13y
A.
57y 4
B.
57y 56
C.
53y
D.
112y 56


4.
Solve the equation.
   5n – 8 = 11n + 5
A.
n = –
B.
n =
C.
n =
D.
n = –


5.
Solve the equation.
   
A.
t =
B.
t = –
C.
t =
D.
t = –


6.
Solve the equation.   
 
A.
2
B.
1
C.
0
D.
-1


7.
The sum of two consecutive integers is –175. Find the least of the two integers.
A.
–88
B.
–176
C.
–87
D.
88


8.
Solve the inequality. Write your answer in interval notation.
   10x + 6 > 7
A.
B.
C.
D.
(1, ∞)


9.
The graph of the equation y = –6 is a ____________ line.
A.
Horizontal
B.
Vertical
C.
Slanted
D.
Dotted


10.
Solve the system.
    x + y = 7
   3x + y = 9
A.
(4, –3)
B.
(1, 6)
C.
(6, 1)
D.
no solution


11.
Solve the system.
   y = 7x + 10
   3y + 21x = –2
A.
(10, –2)
B.
(0, 10)
C.
Dependent
D.
Inconsistent


12.
Simplify.
   (–15)0
A.
0
B.
15
C.
1
D.
15


13.
Simplify.
   
A.
B.
C.
D.


14.
Simplify.
   
A.
B.
C.
D.


15.
Add 5x4 and –11x + 8.
A.
6x + 4
B.
16x + 12
C.
6x + 3
D.
16x + 13


16.
Subtract.
    (14x2 + 19x) (–3x2 + 14x)
A.
11x4 + 33x2
B.
11x2 + 33x
C.
17x2 + 5x
D.
17x2 + 33x


17.
Subtract 6x 5 from 9x + 12.
A.
3x +7
B.
3x +17
C.
3x +17
D.
3x +7


18.
Categorize the expression as a monomial, a binomial, or a trinomial.
   9x3 – 17x
A.
monomial
B.
binomial
C.
trinomial


19.
What is the degree of the polynomial?
   2x2 – 3x4 + 15x
A.
–3
B.
2
C.
2
D.
4


20.
Multiply.
   (3x + 10)(10x 9)
A.
30x2 90
B.
30x2 + 73x 90
C.
30x2 100x 90
D.
13x 90


21.
Perform the indicated operation.
   (6w 2t)2
A.
36w2 24wt + 4t2
B.
36w2 4t2
C.
36w2 + 4t2
D.
36w2 + 24wt 4t2


22.
Identify the greatest common factor.
   14y4, 7y3, 21y
A.
14y4
B.
7
C.
7y
D.
21


23.
Factor.
   12t 18
A.
12(t 18)
B.
12(t 2)
C.
6(2t 3)
D.
6t(2 – 3)


24.
Factor.
   3x(4x 3) + 5(4x 3)
A.
12x2 + 11x 15
B.
(4x 3)(23x 15)
C.
(4x 3)(3x + 5)
D.
(5x 3)(4x + 5)


25.
Factor.
   z2 + 6z 27
A.
(z 9)(z + 3)
B.
(z 10)(z + 2)
C.
(z + 9)(z 3)
D.
The polynomial is prime.


26.
Factor.
   2c2 11cd 21d2
A.
(2c + 3d)(c 7d)
B.
(2c + 7d)(c 3d)
C.
(2c 3d)(c 7d)
D.
The polynomial is prime.


27.
Factor.
   25x2 81
A.
(5x 9)2
B.
(5x + 9)2
C.
(5x + 9)(5x 9)
D.
(25x + 9)(x 9)


28.
Find all solutions for t.
   
A.
B.
C.
D.


29.
Find all solutions for y.
   y2 15y = 0
A.
y = 0, y = 15
B.
y = 15
C.
y = 0, y = –15
D.
y = 0,


30.
Find all solutions for t.
   t2 10t = –24
A.
t = 0, t = 10
B.
t = –6, t = –4
C.
t = 6, t = 4
D.
t = 0, t = –10



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