Test 3 Review
3
5. Divide 3x – 5 by x – 1.
Answer:
2
3x + 3x + 3 – 2/x – 1
2. The general expression for
consecutive multiples of six is 6N,
6(N + 1), 6(N + 2), etc. Find three
consecutive multiples of six such
that 4 times the first exceeds twice
the third by 12.
Answer:
18, 24, 30
6. Factor
2
30xy – 72y – 3x y
Answer:
-3y(x – 6)(x – 4)
9. Simplify
2
3
pm – 3p m
pm
Answer:
2
1 – 3pm
4. For every 210 high school
students, there are 5880 people
living in the community. If the
community has 1325 high school
students, how many people live in
the community?
Answer:
37,100 people
7. Factor
2
8xa + 42a – 2ax
Answer:
-2a(x – 7)(x + 3)
10. Simplify
3
4√3
Answer:
√3/4
13. Add
3x
2
x + 3x – 10
−
4
x+5
Answer:
8–x
(x + 5)(x – 2)
11. Simplify
3√27 – 4√108 – 2√75
Answer:
-25√3
8. Factor
2
2
2
45xyz + 5x yz + 100yz
2
Answer:
2
5yz (x + 5)(x + 4)
12. Simplify
a
b
x+y
b
Answer:
a/x + y
1. Karen left her house heading
east, and her sister left two hours
later heading west at a rate 5 mph
faster than Karen. Six hours after
Karen left, she and her sister were
600 miles apart. How fast was
Karen moving?
Answer:
58 mph
15. Find the equations of lines a
and b.
Answer:
a) y = -3x + 1
b) y = -4
14. Solve this system by graphing,
and then get an exact solution by
using either substitution or
elimination.
y = 2/3x + 3
3x – 3y = -6
Answer:
(3, 5)
16. Find R, S and T.
Answer:
R = 11√514/17 ≈14.67
S = 165/17 ≈ 9.71
T = 6√514/17 ≈ 8.00
18. Solve
0
0
-2x - 4 – x + x + 3 = 3
3
5
Answer:
-47/22
3. The number of blooming
pansies increased by 160 percent
overnight. If they numbered 117 in
the morning, how many pansies
had bloomed before nightfall?
Answer:
45 pansies
17. Solve
3x - 2x – 3 = 6
4
3
Answer:
60
20. The base of a 6 inch tall right
cylinder is shown. Find the lateral
surface area of the cylinder.
Dimensions are in inches.
Answer:
2
(4π + 5.7)(6) ≈ 109.56 in.
19. Evaluate
2
3
a – b (a – b) a = 1/3 b = -1/2
Answer:
31/144