Chapter 6 Test Review
Name __________________________________________
1. Simplify and list any excluded values: 𝑓𝑓(𝑥𝑥 ) =
2. Simplify, if possible:
6𝑥𝑥−12
𝑥𝑥 2 −4
2𝑥𝑥 2 +3𝑥𝑥−2 8𝑥𝑥−8
3. Simplify, if possible:
𝑡𝑡−3
4. Simplify, if possible:
5𝑥𝑥+4
5. Simplify, if possible:
∙
6
÷
𝑥𝑥+3
𝑥𝑥
𝑥𝑥−1
𝑡𝑡+1
15
+
−
4𝑥𝑥+1
𝑥𝑥+3
𝑥𝑥−2
𝑥𝑥+1
𝑥𝑥 2 −5𝑥𝑥
𝑥𝑥 2 −25
Period _____
6. Simplify:
7. Solve:
8. Solve:
4
−4
𝑥𝑥
7
−7
𝑥𝑥
3
𝑥𝑥+4
20
𝑥𝑥
=
+
1
𝑥𝑥−1
20
𝑥𝑥+9
=1
9. Jackson can sand the floor in 12 hours. Charlie can do the same job in 9
hours. How long would it take if they worked together?
10.
The current in a river is 4 mph. Oscar’s boat travels 35 miles
downstream in the same amount of time it takes to travel 15 miles upstream.
What is the speed of the boat in still water?
11.
Divide:
(32𝑥𝑥 6 + 18𝑥𝑥 5 − 27𝑥𝑥 2 ) ÷ (6𝑥𝑥 2 )
12.
Divide:
(𝑥𝑥 2 − 9𝑥𝑥 + 21) ÷ (𝑥𝑥 − 4)
13.
Solve:
𝑥𝑥 (𝑥𝑥 + 2) = 35
14.
Solve:
|𝑥𝑥 − 2| ≤ 5
15.
Solve:
2𝑥𝑥
𝑥𝑥−1
+
𝑥𝑥
𝑥𝑥−3
=2
16.
Factor:
3𝑥𝑥 2 − 5𝑥𝑥 − 8
17.
Factor:
𝑦𝑦𝑦𝑦 − 𝑥𝑥𝑥𝑥 − 𝑦𝑦𝑧𝑧 2 + 𝑥𝑥𝑧𝑧 2
18.
Find the domain of 𝑓𝑓(𝑥𝑥 ) =
19.
Find the domain of 𝑓𝑓(𝑥𝑥 ) = √2𝑥𝑥 − 11
2𝑥𝑥−3
𝑥𝑥 2 −6𝑥𝑥+9
20.
Give the equation of the line – in STANDARD FORM – that goes through
(-1, 7) and (4, -3)
21.
Find the equation of the li ne – in SLOPE-INTERCEPT FORM - that goes
thru (-2, 5) and (-1, -4)
22.
Solve:
4 ≤ 3 − 𝑥𝑥 ≤ 6
23.
Solve:
�
24.
Solve:
3𝑥𝑥 − 7(𝑥𝑥 + 1) ≥ 4𝑥𝑥 − 5
2𝑎𝑎 + 6𝑏𝑏 = 4
3𝑎𝑎 − 𝑏𝑏 = 6