Elementary Algebra sample problems

Simplify:
27x
y
8
18x
y
6 4
Simplify:
64
Graph and find
the slope of this line:
2
y =− x+
4
5
(x − 7)(2x + 3)
Simplify:
2x 4 (3x 2 − 2x + 4)
Simplify:
4 2
8a −6a −2a 2
2a
Simplify:
7 9
−
10y
y
5 2
Simplify:
−2 3
2 ⋅ 4
Simplify:
2 4
49ab , a ≥ 0
Write an equation of
the line whose slope is
2 and whose
y-intercept is (0, 5).
Simplify:
(3x − 5) 2
Factor:
3x 2 + 6x
Simplify:
2
a −3a−18 2
a − 9
Simplify:
x + 5
x
Simplify:
−
y ⋅ y
− 5
y
4 2
Simplify:
27 12 3
x
Find the slope of the
line that passes
through the points
(−2, 7) and (3, −3)
Simplify:
7b(−4b 2 ) + 3b 2 (−b)
Factor:
x 2 + 6x − 16
Simplify:
2
x + 7x
3x+ 15
2 ⋅ 2
x − 25 x
Simplify:
3 5
−
x x+
3
Simplify:
x x
2 ÷ 3
y y
Graph and find
the slope of this line:
3x − 2y = 6
Solve this system
of equations:
3x + 2y = 25
x − 3y = −21
Simplify:
3x(x + 5) − 2(x 2 + 4x − 1)
Factor:
3x 2 + x − 2
Simplify:
2 5
a− 3 2a 6
÷
−
Simplify:
3
1+
x
9
x −
x
As you prepare for the mathematics placement test, you should review the topics listed on the
next page:
Arithmetic of real numbers (including integers, rational numbers, and irrational numbers)
Algebra Problems Page 2 of 3