1. Algebra I Chapter 10 Review

2. Question # 1 Simplify. Write in standard form.
(5x3 + 3x2 – 7x +10) – (3x3 – x2 + 4x -1)

3. Answer # 1 Simplify. Write in standard form.
(5x3 + 3x2 – 7x +10) – (3x3 – x2 + 4x -1)
2x3 + 4x2 - 11x + 11

4. Question # 2 Simplify. Write in standard form.
(x2 + 3x - 2) + (4x2 - 5x + 2)

5. Answer # 2 Simplify. Write in standard form.
(x2 + 3x - 2) + (4x2 - 5x + 2)
5x2 - 2x

6. Question # 3
Find each product. Write in standard form.
4x(x2 + 3)

7. Answer # 3 Find each product. Write in standard form. 4x(x2 + 3)

8. Question # 4 Find each product. Write in standard form.
(5c + 3)(-c + 2)

9. Answer # 4 Find each product. Write in standard form. (5c + 3)(-c + 2)

10. Question # 5 Find each product. Write in standard form.
(x - 1)(x2 + x + 1)

11. Answer # 5 Find each product. Write in standard form.
(x - 1)(x2 + x + 1)
x3 - 1

12. Question # 6
Factor.
x2 + 3x - 4

13. Answer # 6
Factor.
x2 + 3x - 4
(x + 4)(x – 1)

14. Question # 7
Factor.
4x2 + 4x + 1

15. Answer # 7
Factor.
4x2 + 4x + 1
(2x + 1)2

16. Question # 8
Factor.
4x2 - 25

17. Answer # 8
Factor.
4x2 - 25
(2x - 5)(2x + 5)

18. Question # 9
Solve for x. Give the exact answer.
x2 + 4x = 2x2 –x + 6

19. Answer # 9 Solve for x. Give the exact answer. x2 + 4x = 2x2 –x + 6
x = 2 or 3

20. Question # 10
Solve for x. Give the exact answer.
x2 + 4x + 1 = x

21. Answer # 10 Solve for x. Give the exact answer. x2 + 4x + 1 = x

22. Question # 11
Solve for x. Give the exact answer.
x2 + 10x + 40 = 0

23. Answer # 11 Solve for x. Give the exact answer. x2 + 10x + 40 = 0
No solution

24. Question # 12
Solve using complete the square method.
2x2 + 8x - 6 = 0

25. Answer # 12 Solve using complete the square method. 2x2 + 8x - 6 = 0
x2 + 4x - 3 = 0  x2 + 4x + 4 = 3 + 4
(x + 2)2 = 7  x + 2 = ±√7
x = -2 ±√7

26. Question # 13
Solve for x.
8x5 + 12x4 – 20x3 = 0

27. Answer # 13 Solve for x. 8x5 + 12x4 – 20x3 = 0 4x3(2x2 + 3x – 5) = 0

28. Question # 14
Solve for p.
4p2 = 36

29. Answer # 14
Solve for p.
4p2 = 36
p2 = 9
p = ±3