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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