4. Three artists contributed to a coffee-table book. They each chose to be paid a different way. Royalty Fixed ($ per n Artist Rate ($) books sold) Ayesha 1000 2n Jorge 5n Ioana 4000 a) Write a simplified expression for the total amount paid to Ayesha, Jorge, and Ioana. b) If 1000 books are sold. What is the total amount that will be paid to the authors?8. State the degree of each of the following terms . y) - (3 c ) ~ mn2 d) 6res a) -864 b ) - xay 3 - 39 9. Classify each of the following terms as like or unlike d) 4a263 and 6a362 a) 402 and 4a b) 6x3 and -x3 c) 12p4 and -p4 10. Simplify the following expressions by collecting like terms a) -2x + 7y - 5x - 9y b ) 3x2 + y2 + 5y2-7x+x2 c) 6q + u + 4u+ q+ u+4u-u = -2x+ 7/-5x- gy = -zx-5X+ 7-9 =-7x- 27 d) 10 - nm2 - 7 - nm2 + 4n2m2 e) -3v+2v+6-3v-9-v () 7 + 3x2y + 4y - y+ 8x2y+80 11. Add/Subtract the following polynomials a) (3x - 1) + (4-2x) b) (-6k - 4) + (2k + 4) c) (68x2 + 66x + 1) + (3x2 +86) = 3 X - 1 + 4- zx = X+3Section 2: Polynomials 7. Classify each of the following polynomials and state the degree of the polynomial Type of Polynomial Degree of Polynomial (monomial, binomial, trinomial, etc.) a) 3a2 + 23 + b Third degree b) 3x2y c) -b4d + bd3 + 66 sixth dearces d) 7xy5z -15x6 e) 2 - 3x4 - 5x2 + 4x) ( 2 + y) - (3- 2y) e) (2a + 1) - (4a + 2) f) (g+ 12) + (g - 7) - (2-39) = 2ty - 3+ 2y 2 34-' g) (2m2 - m - 12) - (5m2 + 4m - 6) h) (b - 6) - (2 -56) + (6+ 4) 12. Expand and simplify the following expressions using the distributive property a) 5 ( x + 3 ) b ) 4(b + 2 ) c) w(2w + 1) = 5X + 15 d) q(9+ 4) e) 3c(6 - 4c) f) -p(2p - 1) g) -5(a2 - 4a -2) h) 2d(d2 - 3d - 1) i) 3(x + 3) + 2(x +1) - 54. Three i) -4(m + 2) + 3(m - 7) k) -(d - 3) -5(d + 2) 1) 5 [b + 2(b + 1)] m) -2[3(a + 3) - 4] n) 4[-2(4 - t) + 3t] 0) 4x(xy + 2y) - 3y(3x2 +x) Section 3: Applications 13. a) Expand and simplify an expression for the area of the following rectangle. 3x 4x - 1 b) What is the area is x = 3 cm ?6. Simplify the following using exponent laws and evaluate where possible a) (x7) (x7 ) X b) (a3) (a 4 ) (as ) salz c) x - 3 d 2x10 e) = 8x2 605 f) 3a9 8 ) ( x 4 ) 5 h ) ( x 4 ) - 5 X 20\f