Rational Expressions Review Worksheet

M118-Unit 4 Name Key Test Review Worksheet - Rational Expressions Date Period State the excluded values for each rational expression. 1) (x + 6)/(x ^ 2 + 8x + 12) x+6 (y+6)(x+2)) 1/(x + 2) 2) (3(6x - 5))/(4x ^ 3) (18x - 15)/(4x ^ 3) 4x ^ 3 = 0 203 excl x + 6 - 6 \{- 6, - 2\} excl. 3) (8x ^ 3)/(20x ^ 2 + 24x) L, 2x ^ 62 (Sx) (2x ^ 2)/(5x + 6) L| x = Cx 5r*l_{0} = 0 \{0, - L_{0}/5\} excl 4) (20x + 90)/70 none nox in denom. to get a o. Simplify each expression. 5) (28p ^ 1)/(27p ^ 1) 2/(3p) 6) (20x)/(35x + 65) * (280y)/(sqrt(36(7x + 13))) 7x + 13 7) (42n ^ 2 + 48n)/(36n ^ 2) 48n(7n+8) 3j6n)^ 8 (7n * 8)/(6n) 9) (m ^ 2 + m - 2)/(m ^ 2 + 12m + 20) (m + 2)(m - 1) langle m+10)(100(2) (m - 1)/(m + 10) 8) (m ^ 2 - 6m - 27)/(m ^ 2 - 12m + 27) (m+2)(m+2) (m+2m+27 )(m)- 3 2 ) (m + 3)/(m - 3) 0) (x ^ 3 + 15x ^ 2 + 56x)/(x ^ 2 - x - 56) * (x\langlex ^ 2 + 15x + 56\rangle)/((x - 8)(y + 7)) (x(x + 8)(x + 1))/((x - 2)(x - 1)) (x(x + 8))/(x - 5) 11) 4 Sigma n^ 2 (5n+1) 28 * xi(2 pi(42) 4rho * (5n + 1) ^ 3 * 4rho * (5n + 1) ^ 3 (3n(2n + 3))/(14 * (5nn + 1) ^ 2) (4n(9n + 4))/(2pi) * (2yn + 3)/((5n + 1) ^ 2) 12) (7b(b + 10))/(44b ^ (3b)) * (- (5b))/(9 - 5b) 55(5b-9) - (x + 10) 70 0 214 5 13) (7b + 6)/(70b + 60) + 1/(b + 8) (Ib + 6)/(I * 0(70 + 6)) * (b + 8)/1 (6 + 8)/10 ) ค 7x ^ 5 - 11x + 3x - 9 7r(x - 5), f(x - 5) 23 (m + 3)(x - 3) 14) 6/(7r ^ 2 - 18r - 9) / ((3r)/(21r ^ 2 + 9r)) 6 (2m+53((3) * (31(3x + 3))/(3t) 6/(- 3) 15) 1/(n + 10) * (3(m + 2)(m + 8))/(3(m + 1)) 1/(v + 10) * (3(v ^ 2 + 3yv + 2))/(3(vv + 1)) 1/(n + 10) * (3n ^ 2 + 9n + 6)/(3n + 3) (n + 2)/(ri plus/minus 10) 16) (20n ^ 3 + 4n ^ 2)/(50n ^ 2 + 10n) / ((4n ^ 2)/(2n ^ 2)) n (ln(5an + 1) ^ 2)/(10q(5an + 1)) * (2n ^ 3)/(4a * n ^ 2) 17) 9(20-5) -(3n-5x^ 3n-0) * (10m ^ 2 * (3p - 10))/(9(n - 5)) (27n - 45)/(- 9n ^ 2 + 27n - 20) * (30n ^ 3 - 40n ^ 7)/(9n - 72) - (10n ^ 2)/(n - 8) (9(3n - 5))/(- (9n ^ 2 - 27n + 1C)) * (10n ^ 4 * (3n - 4))/(9(n - pi)) S 0 ( (10 deg * (- 1)) - S(S(0)) 757-7a(a - 1) * varphi(p, 0) 18) T 3(707) ()(92) z (14a ^ 3 - 28a ^ 2)/(7a ^ 2 - 36a - 36) + (6a - 12)/(21a + 18) (7a ^ 2)/(a - 6) (p * 1) hat P 20) 5p 3p - (p + 3)/(3p - 12) 3(p-14) * p P 19) (x + 3y)/(25x ^ 3) + (4x - 2y)/(25x ^ 3) 4p2-23p 3p(p - 4) (8(4p - 23))/(3 * p' * (p ^ - 4)) (4p - 23)/(3(p - 4)) (x + 3y + 4x - 2x)/(25x ^ 3) (5x + y)/(25x ^ 2) 22) 2/(a + 1) + (4a)/(a - 3) (x-2)(x-14) ーピン130x-36) x ^ 2 = binomial(1,x) * (- x)(- x) = 1/x ) t r (N- sum i=1 ^ n ) (x_{i} - 1/2) ^ 2 (lex - 3le)/((a - b)(a - b)) - (lex(x - b))/((x - b)(x - b)) ln(x-2) p (x - 1)(x - 1) - (b * x ^ 2 - 20x)/((x - 10)(x - 4)) - - (x^ 2 -5x+x) (x-6)(x-4) 1- b(x-6)(x-4) 23) (x + 2)/(3x ^ 2 + 7x - 20) - (x + 1)/(9x ^ 2 - 25) 24) (5a)/(2a ^ 2 + 5a - 3) + 2/(2a ^ 2 - 11a + 5) (2alpha - e + 1|alpha ^ 2 ^ 1| * alpha)/((alpha + 1)(alpha - 3)) (4alpha ^ 2 + 6alpha - 6)/((alpha + 1)(alpha - 3)) (2(a - 5))/((a + 1)(a - 2)) + 4a/a+1) (a+1)(a-3) 2a ^ 2 + 6ac - 3 2 pi c( cos(theta_{0}/2) - (cos(theta_{0}/2)) (4p * alpha ^ 2)/(Lp*alpha*k - c_{1}) 3)-5() 3+5+ex 40 x²+++ (5354) (5) (x + 2)/(3x - 5 * y', k + 11) = x+1 ( y+5 2 x+5)( y+5 2 ) ((x + 2)(3x + 5))/((3x - 5)(3x - 5)(3x + 5)(3x + 5)(x + 1)) - ((x + 1)(x + 1))/((3a + 1)(3x - 5)(x + 1)) 2x^ 2 +(xy+1) ( 2x 2x -(x+1)(y+x) ( (z(x ^ 2 + 2x + 5))/((yy + 5)(y + 5)(y + 5)(y + 1)) (5a ^ 2 - 25ca + 4 ^ 2)/((2aa - 1)(a + 3)(alpha + 5)) (5alpha ^ 2 - 23alpha + tn)/((2pi*n + 0)(alpha + 3)(alpha - 5)) (sum alpha * (alpha - beta))/((alpha - beta) ^ 2 * f*alpha) * (gamma(alpha - beta))/(gamma(alpha - beta)) + (2(alpha + gamma))/((alpha + beta)(alpha + beta)) (2alpha)/((2alpha - 1)(alpha + 3)) + 2/((2alpha - 1)(alpha * 3)) 20-100-0+5 2n(5)-1(0) 103e ^ 3 100 int -1 ^ 1 (5p(p - 4))/(3p(p ^ - 4)) - (p ^ 2 * 3p)/(3p(p ^ - 4)) (5p ^ 2 - 2Delta*p - p ^ 2 - 3p)/(3p(p - 4)) 6/(x - 4) - (6x)/(x - 6), (y_{s} - (1))/(x - 4) > 0 = ((m - 1)/(m ^ 2) - 2/(m ^ 2))/m * 4/m/(16/m - m/4) 2 = (2a ^ 3 + 3a - 5) 1