19
+
x 1
5) Start with the following equation
and determine equivalent simple fractions by:
−
x 5
a) multiplying the numerator and the denominator by 3
b) dividing the numerator and the denominator by 6
c) multiplying the numerator and the denominator by x
6) Simplify each of the following rational expressions:
+
+
2
2
a
4ab 4b
a)
+
a 2b
−
4
x
1
b)
−
x 1
−
2
n
9
n
c)
1 1
−
n
3
−
2
3 a
1
−
+
d)
+
+
2
a 2 a
2a
a
−
−
2
4x
36
7x 35
×
e)
−
+
3
2
x
25x 3x
9x
−
+
+
3
3
2
2
a
c
a
ac c
÷
f)
−
+
+
2
2
2
2
2a
2c
a
2ac c
7) Solve each of the following expressions for x:
x
=
a)
4
−
2x 3
3
1
5
−
=
b)
+
+
x 3 x
6 2x
2
2
1
−
=
c)
−
+
−
2
x
1 x 1
x 1
2
3
1
+
=
d)
+
−
+
−
2
2x
5x 3 2x 6
4x 2
Math Placement Test Study Guide | Grade 11 (Non-Calculator) Exercises