Test 3 Review 3 5 Divide 3 x
- Slides: 41
Test 3 Review
3 5. Divide 3 x – 5 by x – 1.
Answer: 2 3 x + 3 – 2/x – 1
2. The general expression for consecutive multiples of six is 6 N, 6(N + 1), 6(N + 2), etc. Find three consecutive multiples of six such that 4 times the first exceeds twice third by 12.
Answer: 18, 24, 30
6. Factor 2 30 xy – 72 y – 3 x y
Answer: -3 y(x – 6)(x – 4)
9. Simplify 2 3 pm – 3 p m pm
Answer: 2 1 – 3 pm
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 8 xa + 42 a – 2 ax
Answer: -2 a(x – 7)(x + 3)
10. Simplify 3 4√ 3
Answer: √ 3/4
13. Add 3 x 2 x + 3 x – 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 45 xyz + 5 x yz + 100 yz 2
Answer: 2 5 yz (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 = -3 x + 1 b) y = -4
14. Solve this system by graphing, and then get an exact solution by using either substitution or elimination. y = 2/3 x + 3 3 x – 3 y = -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 -2 x - 4 – 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 3 x - 2 x – 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