College Algebra final exam study guide questions with verified answers

Evaluate: 4a+2(c-d)^2/5b-a when a=12 and b=-4 and c=-3 and d=6 - answers-105/16 Simplify: 4(5-2x)+4(x-5) completely. - answers-4x Simplify: (48b^8t^5p^5/-8b^6t^5p^2)^3 - answers-216b^6p^9 Simplify: 6d^-6n^7/d^-8n^9 - answers6d^2/n^2 Simplify: (square root = -/) -/24x^4y^7 - answers2x^2y^3(-/)6y Simplify: (square root = -/) 1-/24+3-/175-2-/54+5-/7 - answers-4(-/)6+20(-/)7 Rationalize the denominator : (square root = -/) 7/-/7 - answers(-/)7 Add: (-9x^4-11x^2-x+8)+ (3x^4+5x^2+4x+7) - answers-6x^4-6x^2+3x+15 Subtract: (8x^5+9x^2+6x)-(-3x^5-9x^2-6) - answers11x^5+18x^2+6x+6 Multiply: (3x+1)(-6x-8) - answers-18x^2-30x-8 Factor: x^2-6x-16 - answers(x+2)(x-8) 12: Factor by grouping: x^2+10x+9x+90 - answers(x+10)(x+9) Factor:3x^2+5x-12 - answers(3x-4)(x+3) Factor: 49x^2-81 - answers(7x+9)(7x-9) Factor: 27x^3+64 - answers(3x+4)(9x^2-12x+16) Simplify the expression: x-3/x^2-25 * x^2-9x+20/x^2-7x+12 - answers1/x+5 Simplify and reduce to the lowest terms: 7/x+9 + 6/x-9 - answers13x-9/(x+9)(x-9) Solve the equation: 6x-2=4x+4 - answersx=3 Solve: -8(x+4)+4=-2(x-7) - answersx=-7 Solve for x: 8/x-2 +3/x+2 =-9x-10/x^2-4 - answersx=-1 Solve: 2-3|3x-9|=-7 - answersx=4 ; x=2 Solve by Completing the Square: x^2+8x-12=0 - answersx=-4+2(-/)7; x=-94-2(-/)7 Solve by using the quadratic formula: 2x^2-3x-1=0 - answersx= 3+(-/)17/4, 3-(-/)17/4 Solve: 5y^2=25 - answersy=(-/)5, -(-/)5 Simplify: (3-4i)+(15+24i) - answers18+20i Simplify: (3-4i)-(15+24i) - answers-12-28i Multiply: (1-5i)(9+6i) - answers39-39i Simplify: -4-2i/2i ; write the result in the form a+bi - answers-1+2i Simplify: 5/-2+5i ; write answer in the form a+bi - answers-10/29 - 25/29i The length of a rectangle is 6 inches longer than it is wide. If the perimeter is 44 inches, what are the dimensions of the rectangle? - answersx=8, Width:8, Length:14 A rental car company charges $35 plus $0.45 per each mile driven. How many miles can you travel for $350? - answers700 miles