Algebra 2 Study Guide With Answers

University:
Princeton University
Course:
COS 226 | Algorithms and Data Structures
Academic year:

2024
Views:

0

Pages:

2
Author:

Idel Tejeda

**Algebra 2** **Study Guide with answers (Test is on Friday 12/6)** **Simplify each expression.** 1) 14x³ / 10x² 2) 32m² / 64m 3) x+5 / 3x 4) 18k-27 / 45k+45 5) b²+15b+50 / 3b²+30b 6) 6x²+11x+18 / x²+11x+18 7) 45v-81 / 27v-45 8) 6x²+48x / 10x³+80x² 9) (b+9)/4 * 4(b+2) / 3b(b+2) 10) (b-7)(b-9) / 4(b+7) * (b+7) / (b-9) 11) 10p(p+3) / 10p(p+1) * 2p² / (p+3) 12) 6 / (v-9) * 2(9-v) / 2(v+2) 13) 2 / (n²+18n+80) ÷ 9n / 9n²+72n 14) (x-2)/5x ÷ (x²-11x+18) / 5x²-45x 15) (p+4)/(p²+12p+32) ÷ 1/(p-3) 16) (6n+36)/(6n-12) ÷ (n+6)/8 17) (v-7)(v+3) / 9v ÷ (v+3)(v-10) / 9v(v-10) 18) (r-9)/(r²-r-42) ÷ 1/(r+6) 19) (x+10)/(x-8) + 9(x+10)/(x+1)(x-8) 20) 5(r-9)/5(9-r) ÷ 9r²/4 21) (a+4)/(a+4)(a+5) ÷ 1/3(a+5) 22) (m+2)/10m² * 63m / (m+2) 23) 9a-54 / 4a² * 1 / (a-6) 24) 4x² / (x²-8x-20) * 10x+20 / 4x² 25) (x-9)/(x-6) * (7x-42)/(9-x) 26) 1/3x² * 8x²+48x / (x+6) **Algebra 2** **Study Guide with answers (Test is on Friday 12/6)** **Simplify each expression.** 1) 14x³/10x² = 7x/5 2) 32m³/64m = m²/2 3) (x+5)/(3x) = (x+5)/(3x) 4) (18k-27)/(45k+45) = 2(k-1)/5(k+1) 5) (b²+15b+50)/(3b²+30b) = (b+5)/(3b) 6) (6x²+11x+18)/(x²+11x+18) = 6 7) (45v-81)/(27v-45) = 5(v-9)/3(v-5) 8) (6x²+48x)/(10x³+80x²) = 3/5x 9) (b+9)/(4(b+2)) * 4(b+2)/(3b(b+2)) = (b+9)/(3b) 10) (b-7)(b-9)/4(b+7) * (b+7)/(b-9) = (b-9)/4 11) 10p(p+3)/10p(p+1) * 2p²/p+3 = 2p²/p+1 12) 6/(v-9) * 2(9-v)/2(v+2) = -6/(v+2) 13) 2/(n²+18n+80) ÷ 9n/9n²+72n = 2/(n+10) 14) (x-2)/5x ÷ (x²-11x+18)/5x²-45x = 1/x-9 15) (p+4)/(p²+12p+32) ÷ 1/(p-3) = (p-3)/(p+8) 16) (6n+36)/(6n-12) ÷ (n+6)/8 = 8/(n-2) 17) (v-7)(v+3)/9v ÷ (v+3)(v-10)/9v(v-10) = v-7 18) (r-9)/(r²-r-42) ÷ 1/(r+6) = (r-9)/(r-7) 19) (x+10)/(x-8) + 9(x+10)/(x+1)(x-8) = (x+1)/9 20) 5(r-9)/5(9-r) ÷ 9r²/4 = -4/9r² 21) (a+4)/(a+4)(a+5) ÷ 1/3(a+5) = 3 22) (m+2)/10m² * 63m/(m+2) = 63/10m 23) 9a-54/4a² * 1/(a-6) = 9/4a² 24) 4x²/(x²-8x-20) * 10x+20/4x² = 10/(x-10) 25) (x-9)/(x-6) * (7x-42)/(9-x) = -7 26) 1/3x² * 8x²+48x/(x+6) = 8/3x