Evaluate: a. (5)3 b. 1" c. 4'2 d. 10 000\" e. 5'4 f. 3'2 x (8'5)0 9. B" h. (-2)5 Simplify: 3 5 a. [3] {a} b. 5"!l x 5'3 c (nwzl4 3 3 w' 4 4x3y'2 d.(3abo)3 e. E 4] f '1 4 w 2x y Evaluate. l l -1 a 492 b. ('343 c 16 4 a 5 1 1 3 d 362 e 83 f. [164+92] Simplify .2. l a (5mg): b. (51:12:24)?- 1 The side length. 5, of a cube is related to its volume, V, by the formula 5 2 V5. A oube box when filled with materials has a volume of 129cm2. What is the side length of the cu be box used? 'EEQ-C ll) . Key Question #7 1 . State the slope and y-intercept of the equations below, then properly graph and label the equations using the slope and y-intercept. a.y:3x72 b.y:7x+4 c.y:7%x+1 d.y:x73 2. Solve for the system of equations by graphing. (Find the point of intersection) y:x+4 y=lx1 y:x+'l a. 7 5 b. 2 c. 7 2 5 yx+ y:x+4 y_ x Copyright 2007. Durham Continuing Education Page 18 of 45 MAP4C Foundations for Colle e Mathematics Lesson 7 Key Question #7 (continued) 3. For each of the following equations state whether the parabola would open up or down. a. y=2(x+'l)2+3 b. y=(x1)2+2 C. y=x2+3 For each of the following equations state the coordinates of the vertex for its parabola. a. y=2(x+'l)2+3 b. y=(x1)Z+2 C. y=x2+3 For each of the following equations state the equation of the axis of symmetry for its parabola. a. y=2(x+'l)2+3 b. y=(x1)Z+2 C. y=x2+3 For each of the following equations complete a table of values for x values from 2 to 2 and graph. 3. y=(x+'l)2+3 b. y=(x1)Z+2 C. y=x2+3 The path of a cliff diver as he dives into a lake. is given by the equation )1 = (x -10): +75, where y metres is the diver's height above the water and, x metres is the horizontal distance travelled by the diver. What is the maximum height the diver is above the water? Graph the exponential function y : 3(2)' whereo s x s 5 . Complete the table below and graph each function on the same set of axis. Which of the function grows the most rapidly? Which of the functions grows the slowest? III C)