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Practice Test on Algebraic Equations and Functions

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Subject: 
Algebra
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Tags: 
Algebra
Mathematics
Arithmetic
Factorization
polynomials
Partial fractions
Polynomial expansion
Linear differential equation

An equivalent expression to the algebraic expression 9x2 ? 4y2 is: A) 3x ? 2y B) 6(3x2 ? 2y2) C) (3x + 2y)(3x ? 2y) D) (2y + 3x)(2y ? 3x) Correct. Your answer=C, Correct answer=C Explanation: 9x2 ? 4y2 = (3x + 2y)(3x ? 2y) Factor the trinomial x2 ? 2x ? 15: A) (x ? 3)(x ? 5) B) (x + 3)(x ? 5) C) (x ? 3)(x + 5) D) (x + 3)(x + 5) Correct. Your answer=B, Correct answer=B Explanation: The numbers ?5 and 3 multiply to give ?15 and add to give ?2. x2 ? 2x ? 15 = x2 ? 5x +3x ? 15 = x (x ? 5) + 3 (x ? 5) = (x ? 5)(x + 3) Fully factored, the quadratic function y = 2x2 + 10x + 12 can be expressed as: A) y = 2(x + 6)(x + 2) B) y = 2(x + 3)(x + 2) C) y = 2(x + 6)(x + 1) D) y = 2(x + 3)(x + 1) Correct. Your answer=B, Correct answer=B Explanation: y = 2x2 + 10x + 12 y = 2(x2 + 5x + 6)

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