Algebra 1 Chapter 9 Test
Algebra I Name _______________________
Chapter 9 Test Review Date _____________ Block _____
Put each expression in descending order (standard form) and classify by name and degree.
|Expression |Standard Form |Name (monomial, binomial, trinomial) |Degree |
|1) [pic] | | | |
|2) 3x2 | | | |
|3) [pic] | | | |
Find the Sum or Difference.
4. (9x2 + 8x + 5) + (8x2 – 4x – 8) 5. (5x2 + 8x + 5) – (2x2 – 3x + 2)
6. (14x2 – 5x + 2) – (3x2 – 8x – 4) 7. (2x2 + 3x) - (-x2 + 4x – 7)
Find the Product.
8. 2x(4x2 – 5x + 2) 9. (x + 2)(x2 + 3x + 5)
10. (x + 5)(x + 7) 11. (x – 7)(2x + 12)
12. (x + 4) 2 13. (x - 3) 2
Match the expression in Column A with its complete factorization in Column B.
Column A Column B
_____ x2 – 3x – 40 A. (x - 5)(2x + 3)
_____ x2 – 9x + 14 B. (x - 8)(x + 5)
_____ 5x2 + 16x + 3 C. (x + 6)(x + 5)
_____ x2 + 11x + 30 D. (5x + 1)(x + 3)
_____ 2x2 – 7x - 15 E. (x – 7)(x – 2)
19. Which expression shows 6x + 36 in completely factored form?
A. 6(x + 12) B. (x + 6)2 C. 3(2x + 18) D. 6(x + 6)
20. Which expression is a factor of x2 + 8x + 7?
A. x + 8 B. x + 1 C. x – 7 D. x – 1
21. When completely factored, 3x2 – 9 equals:
A. 3(x2 – 9) B. 3(x + 3)(x – 3) C. 3(x2 – 3) D. 3x(x – 3)
22. When completely factored, 2x2y + xy – y equals:
A. (2x + y)2 B. y(x + 1)(2x - 1) C. y(x - 1)(2x + 1)
Factor completely.
23. 4m2 + 9m + 5 24. 6y2 – 5y - 4
Solve each equation using the zero-product property. (Factor first if needed.)
25. (x – 4)(x + 5) = 0 26. a2 – 11a + 24 = 0
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