MAT 111 TEST 6 REVIEW
1.
Reduce to lowest terms:
𝑥2 + 5𝑥
5𝑥
2.
Reduce to lowest terms:
𝑥2 + 8𝑥 + 15
𝑥2 − 9
3.
Find the restricted values of 𝑥 for the given rational expression. If there are no restricted values of 𝑥 ,
then write "no restrictions".
4𝑥2
9𝑥 − 9
4.
Find the least common denominator.
15
5𝑠2
a𝑛𝑑
2
3
𝑠
5.
Perform the indicated operation on the two rational expressions and reduce your answer to lowest terms.
8𝑥 + 9 6𝑥 + 7
−
𝑥−9
𝑥−9
6.
Perform the indicated operation of addition on the two rational expressions and reduce your answer to
lowest terms.
3𝑥2
4
+
𝑥+2
−4
𝑥2
7.
Perform the indicated operation of multiplication or division on the rational expressions and simplify.
𝑦2 − 9
6𝑥4
·
2
18𝑥
(𝑦 + 3)
8.
Simplify.
𝑥 + 6 𝑥+6
÷
2𝑥
8𝑥3
9.
Solve. Give all solutions.
−2
1
=
𝑥−8
7𝑥
10. Solve:
7
3
−
= 10
5𝑥
20