University:
College Entrance Preparation
Course:
ACT Preparation (Mathematics)
Academic year:

2022
Views:

148

Pages:

5
Author:

Quintin Ware

Algebra 2H: Rational Expressions and Equations Test Review Name: _________________________ Period: __________ Date: _____________ 1. Simplify the expression. SHOW WORK! [\frac{3x^{2}+5x-2}{7x^{2}+12x-4}] 3x² + 6x - x - 2 (3x - 1)(x + 2) 7x² + 14x - 2x - 4 (7x - 2)(x + 2) (3x - 1)(x + 2) / (7x - 2)(x + 2) -> 3x - 1 / 7x - 2 2. Simplify the expression. SHOW WORK! [\frac{3b^{2}+26b-9}{5b^{2}+40b-45}] 3b² + 27b - b - 9 3b(b + 9) - 1(b + 9) (3b - 1)(b + 9) 5b² + 45b - 5b - 45 5b(b + 9) - 5(b + 9) (5b - 5)(b + 9) (3b - 1)(b + 9) / (5b - 5)(b + 9) -> 3b - 1 / 5(b - 1) 3. Simplify the expression. SHOW WORK! [\frac{2x^{3}+16x^{2}+24x}{x^{2}-x-6}] 2x(x² + 8x + 12) 2x(x + 6)(x + 2) (x - 3)(x + 2) 2x(x + 6)(x + 2) / (x - 3)(x + 2) -> 2x(x + 6) / (x - 3) 4. Find the sum: SHOW WORK! [\frac{3y+2}{y^{2}+5y-24}+\frac{7}{y^{2}+4y-32}] (3y + 2) / (y + 8)(y - 3) + 7 / (y + 8)(y - 4) (3y + 2)(y - 4) + 7(y - 3) / (y + 8)(y - 3)(y - 4) 3y² - 12y + 2y - 8 + 7y - 21 / (y + 8)(y - 3)(y - 4) 3y² - 3y - 29 / (y + 8)(y - 3)(y - 4) Algebra 2H: Rational Expressions and Equations Algebra 2H: Rational Expressions and Equations Test Review 1/24/17 5. Find the sum: SHOW WORK! [\frac{10}{x^{2}-2x-5}+\frac{3x-2}{x^{2}+5x+4}] [\frac{10}{(x-5)(x+1)}+\frac{3x-2}{(x+4)(x+1)}] [\frac{10(x+4)+(3x-2)(x-5)}{(x-5)(x+1)(x+4)}] [\frac{10x+40+3x^{2}-17x+10}{(x-5)(x+1)(x+4)}] [\frac{3x^{2}-7x+50}{(x-5)(x+1)(x+4)}] 6. Find the difference: SHOW WORK! [\frac{x+4}{x^{2}+5x+4}-\frac{x+12}{x^{2}+9x+20}] [\frac{x+4}{(x+4)(x+1)}-\frac{x+12}{(x+4)(x+5)}] [\frac{(x+4)(x+5)-(x+12)(x+1)}{(x+4)(x+1)(x+5)}] [\frac{x^{2}+9x+20-(x^{2}+13x+12)}{(x+4)(x+1)(x+5)}] [\frac{x^{2}+9x+20-x^{2}-13x-12}{(x+4)(x+1)(x+5)}] [\frac{-4x+8}{(x+4)(x+1)(x+5)}] [\frac{-4(x-2)}{(x+4)(x+1)(x+5)}] 7. Find the difference: SHOW WORK! [\frac{a-3}{a^{2}-16}-\frac{3a-2}{a^{2}+2a-24}] [\frac{a-3}{(a-4)(a+4)}-\frac{3a-2}{(a-4)(a+6)}] [\frac{(a-3)(a+6)-(3a-2)(a+4)}{(a-4)(a+4)(a+6)}] [\frac{a^{2}+3a-18-(3a^{2}+10a-8)}{(a-4)(a+4)(a+6)}] [\frac{-2a^{2}-7a-10}{(a-4)(a+4)(a+6)}] 8. Find the product: SHOW WORK! [\frac{6x}{9x^{3}-36x^{2}}\cdot\frac{9x^{2}}{x+4}] [\frac{6x}{9x^{2}(x-4)}\cdot\frac{9x^{2}}{x+4}] [\frac{6x}{(x-4)(x+4)}]

Rational Expressions and Equations Test Review

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