Algebra 1 Chapter 7: Factoring and Quadratic Expressions

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10 Questions

Write the factored form of the following ______.

expressions

Factor the given expressions by ______.

grouping

The algebra test is for ______ 1.

Algebra

The test has standards including ______.

N.RN.01

The first question is to write the factored form of w2 + 18w + ______.

77

What is the factored form of w2 + 18w + 77?

(w + 11)(w + 7)

What is the correct factorization of 6x2 + 5x + 1?

(3x + 1)(2x + 1)

What is the correct factorization of 3x2 + 8x + 5?

(3x + 5)(x + 1)

What is the first step in factoring an expression by grouping?

Look for common factors among the terms

What is the purpose of factorization in algebra?

To simplify expressions

Study Notes

Algebra 1 Test - 7.1 - 7.7

  • Covers standards N.RN.01, N.RN.02, 4.20C.12.CPI.1, and 4.22A.12.CPI.1
  • 10 questions in total, divided into two sections: factoring and factor by grouping

Factoring (3 points each)

  • Expressions to be factored include:
    • w2 + 18w + 77
    • x2 + 3x – 4
    • 2n2 - 1n - 10
    • d2 – 12d + 32
    • x2 - 6x – 40
    • 6x2 + 5x + 1
    • 9x2 + 20x +4
    • 3x2 + 8x + 5

Factor by Grouping (5 points each)

  • Expressions to be factored by grouping include:
    • 3(2a)2 - 32a + 5a - 40
    • 3(2x)2 + 6x + 40x + 5

Test your skills on factoring quadratic expressions and equations in Algebra 1. This quiz covers standards N.RN.01, N.RN.02, and others, with 10 questions on factoring by grouping and finding the factored form of expressions.

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