d) x = 3(5 - x) +1 e) 3(r + 4) + 2(r+ 5) = 32 f) 5(y - 3) - 3(y - 4) = 12 g) 4(x + 3) = 2(x + 6)-8 h) 2(y - 4) = -3(y + 2) +8 i) 0 = 4x + 3 - x-9 7. Solve each equation. Express fraction answers in lowest terms. a) 5x - 2 = 2x + 3 b) 4 + 5x = x - 22. At a computer store, packages of DVDs sell for $15 each. One customer buys $120 worth of DVDs. a) Write an equation to model the number of packages of DVDs the customer bought. b) Solve the equation. 3. Solve each equation. Express fraction answers in lowest terms. a) 3h + 4 = 6 b) 5x - 3 = -2 c) -7w + 2 = -3 d) -4d - 3 = -1 e) 3r += = -4 () 5t - 4 = 2 4. The equation a + b + c = 180 describes the sum of the angles in a triangle. a) Use this formula to find the values of a, b and c when b = 2a and c = 3a b) Use this formula to find the values of a, b and c when b = 3a and c = 5aSection 3: 4.3 Solving Equations Involving Fractions 10. Solve the following equations. a) = (x - 3) = -2 b) 6 = -2 (a - 7) c) m+7 = 3 5 d) 9 - 3(x+4) e) 3x+5 2 = 10 f) 1 = 2y-3 5 g) 4 = x-3 h) *-2 - x+1 1) = ( x + 4 ) = (x+ 2 ) 1) = (x - 7) = (x-3) k ) 2(x-5) _ 4 (x+2 ) 3 5 1 3(x-4) _ 2(x-3) 4 3c)4(x+3)+2(x3)=3(x2) d]7(4x+3)=3(x+2)(2x+3) 8. An equilateral triangle and a rectangle have the same perimeter. Find the side lengths of the equilateral triangle and the rectangle. x+4 1+3 \"Ca 9. A family of right triangles has side lengths in the approximate ratio 3:4:5. One right triangle belonging to the family has a perimeter of 180 cm. Find its area. (Remember that the legs ofa right triangle are the base and height] 5x 3x 4x Section 1: 4.1 Solving Simple Equations 1. Solve the following equations a) x + 4 =7 b) y - 3 =5 c) 4m = 12 d) = = 2 e) g - 5 = -3 f) 5u = -20 - = -2 h) 5x + 3 = 13 i) 7w - 3 = 11 j) -4h - 5 = -1 k) 5r + 7 = 42 1) -3x + 5 =8 m) 8 + 7y = 15 n) -8x - 2 = 0 0) -6 + 4u = -3Section 2: 4.2 Solving Multi-Step Equations 5. Solve the following equations. a) 5 + 3x + 4x = 19 b) 15y - 6 - 10y = 9 c) 32 = 5 - 4a - 5a d) 5m + 3 - 9m + 13 = 0 e) 6w + 8 = 4w + 18 f) -8x - 5 = 2x + 15 g) 3x - 6 = -x - 2 h) 5 + 4x = -13 - 2x i) 14 - n - 7 = 5n + 1 6. Find the root of each equation. a) 5(x + 4) = 3x + 14 b) 5x - 6 = 2(x + 3) c) 4y + 3(2 - y) = 13