Algebra 1 B What You Need to Know (Chapter 8 Test) - KarrerMath

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Date:______ Hour:______. Algebra 1 B What You Need to Know (Chapter 8 Test ). A1.8.1.1 Be able to find the prime factorization of number. Write the prime ...
Name:_______________________ Date:_____________ Hour:_______

Algebra 1 B What You Need to Know (Chapter 8 Test) A1.8.1.1 Be able to find the prime factorization of number Write the prime factorization of each number.

A1.8.1.2 Be able to find the greatest common factors of two or more numbers Find the GCF of each pair of numbers. 5. 6. 7.

A1.8.1.3 Be able to find the greatest common factors of two or more monomials Find the GCF of each pair of monomials. 8.

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A1.8.2.1 Be able to factor out the greatest common factor of a polynomial Factor out the GCF of each polynomial. Check your answer with the distributive property. 12.

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Name:_______________________ Date:_____________ Hour:_______ A1.8.2.3 Be able to factor out a common binomial factor Factor each expression by taking out a common binomial factor. 16.

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A1.8.2.4, A1.8.2.5 Be able to factor by grouping, and be able to factor out a negative one Factor each polynomial by grouping. Check your answer with FOIL. 19.

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A1.8.3.1, A1.8.3.2 Be able to factor x2 + bx + c trinomials with any combination of negative values for a, b and c. Factor each trinomial. Check your answer with FOIL. 22.

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25. x2 – 8x + 12

Name:_______________________ Date:_____________ Hour:_______ A1.8.4.1 Be able to factor ax2 + bx + c trinomials with any combination of negative values for a, b and c. Factor each trinomial. Check your answer with FOIL. 26.

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28. 6x2 + x – 2

29. 4x2 – 10x – 6

A1.8.2.2 Be able to find the dimensions of a given area by factoring 30.

A1.8.4.4 Be able to find the values of bx so that ax2 + bx + c can be factored 31. Find all possible values of b such that 6x2 + bx – 2 can be factored.

A1.8.5.1, A1.8.5.2 Be able to recognize factor perfect square trinomials, and be able to recognize and factor the difference of two squares.

Name:_______________________ Date:_____________ Hour:_______ Determine whether each trinomial is a perfect square. If so, factor it.

A1.8.6.2 Be able to use multiple methods to factor a polynomial

A1.8.6.1 Be able to determine whether a polynomial is completely factored Tell whether each polynomial is completely factored. If not, factor it. 47. (2x + 6) (x – 3)

48. (x + 2) (x2 – 16)

49. 2x (x + 2x – 8)

50. (x + 9) (4x – 3)