Beginning Algebra Practice Exam
Name
Answers are on-line at www.bobprior.com
DAY 1 Solve each equation.
1.
4x + 18 = -5x – 27
2.
-3x + 10 = -2x + 6(x – 3)
3.
x
7
2 – 1 = x – 2
4.
x
1
1
3 + 6 = x – 2
DAY 2 Solve each of these inequalities, and draw the graph of the solution set on a number line.
5.
x – 6 > -3x + 10
6.
1 + 5y ≥ 8y – 11
DAY 3 Apply the rules of exponents. Write the answers with positive exponents only.
3
7.
(x4)
11.
y-5 · y2
8.
p6 · p2
9.
w9
w3
10.
(m2)
12.
x2
x -4
13.
w-3 · w8
14.
x -3
x -1
-3
page 1 of 6
DAY 3 Evaluate:
15.
50 · 21
16.
30 + 70
17.
(-4)0 + 51
18.
(-3)1 – 20
DAY 4 Perform the indicated operation and simplify.
19.
(x2 – 3x + 6) + (2x – 5 – 2x2)
20.
(4y – 3y2 + 2) – (3 + y2 – 8y)
21.
(x + 4)(2x2 – x – 3)
22.
(3y – 8)(2y + 5)
DAY 4 Factor out the GCF from each polynomial. If the lead term is negative, then factor out -1 with
the GCF.
23.
-6x4 + 15x2
24.
8y3 – 40y2 + 4y
DAY 4 Factor. If the polynomial is not factorable, write prime.
25.
x3 – 4x2 + 3x – 12
26.
6y3 – 15y2 – 4y + 10
27.
8x2 – 10x + 3
28.
4x2 – 5x – 6
page 2 of 6
29.
y2 + 3y – 40
30.
p2 – 17p + 60
31.
x2 – 36
32.
4x2 – 9
33.
w2 + 25
34.
-3y3 + 12y
DAY 5 Simplify:
35.
a2 + 4a – 5
2a2
·
2
a + 5a
a2 – 1
36.
x2
6x
3x2
÷
2
–9
x + 3x
37.
c2
c2 – 5
c–7
+
2
+ 4c
c + 4c
38.
4y – 3
12 – y
–
2
y – 9
y2 – 9
page 3 of 6
DAY 3
39.
Find the slope of the line
containing the points (5, -6)
and (-1, 9).
40.
Find both the x- and y-intercept
points of 4x – 3y = -12
x-intercept point (
, )
y-intercept point (
, )
41.
2
Find the equation of a line with slope m = - 5 that contains the point (10, -3).
42.
Find the equation of a line that passes through the points (1, -5) and (-2, -14).
DAY 3 Identify the slope and y-intercept point for the given equation and use this information to find
two other points on the line and draw the graph
43.
y = -2x – 5
44.
5
y =3 x + 1
Slope:
Slope:
y-intercept point:
y-intercept point:
y
-8
y
8
8
4
4
-4
4
8
x
-8
-4
4
-4
-4
-8
-8
8
x
page 4 of 6
DAY 2
45.
The length of a rectangle is 3 inches less than twice the width. If the perimeter of the rectangle is
84 inches, what are the dimensions of the rectangle?
Legend:
Formula:
Equation:
Sentence:
46.
Brothers Sergio and Antonio have collect a total of 320 baseball cards. Sergio has collected 50
more than twice what Antonio has collected. How many cards has each collected?
Legend:
Formula:
Equation:
Sentence:
page 5 of 6
DAY 6 Simplify each radical expression completely.
47.
75
49.
10 ·
51.
48.
6
-3 10 + 6 10
1
2
300
50.
48
6
52.
50
–
18
Rationalize the denominator and simplify:
53.
5
3
54.
3
6
55.
10
2
56.
12
8
page 6 of 6