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Core Math Semester TEST REVIEW #3
Name ____________________________
20 points
1. Simplify 15x – 8y + 5+ 9x – 6y - 3 ___________________
Period ___________
2. Solve 8(x-7) = 4x = 18 [show steps] x = ______
3. Solve 10(x-3) = 5(2x+4) [show steps] x = ______
FOIL or multiply out
4. 3(x - 4)2 - 12
5. (x+2)(x - 3)2
Solve by quadratic equation:
6. 4x2 - 16x + 1= 0
7. 2x2 + 10x - 7= 0
8. 4x2 - 18x - 3= 0
Solve the logs
9. 1256x-1 = 625x-8
10. 36x+10 = (1/6)x-8
11. Log5+logx=8
12. 2x-1 = 10
13. log6(3x+4) = 2
14. 196x = (1/14)x+3
15. e2x-7=4
16. ln(3x+2) = 6
17. log(x-2) - log 4 = 5
Give the equation in vertex form: y = a(x-h)2 + k vertex (h,k)
18. Vertex (1,-4) and point (2,6)
a = ____
y = _____________
19. Vertex (-2,-3) and point (-3,-4)
a = ____
y = ____________
A = Pert
20. Josh invests $5.500 at 1.7% annual interest compounded monthly. How much will she have in her
account after 3 years?
21. Chris invests $8,300 at 1.3% compounded quarterly, how much will he have after 10 years?
22. If Cassie bought a car for $12,500 and the title fee is 2.5%, what is the total after adding 9% tax?
23. Bobbie bought a portable shed that is marked $2,300 with 25% off. What is the sale price?
What is the total cost after 8.5% tax?
Evaluate if a = -4 b = -1 c = 3
24. 7ab – 5c
5𝑏
25. 2𝑐+𝑎
11. 3bc + 7a – 2c
2𝑎−4𝑏
26. 3𝑐−30
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