Name: Period ___ Date: _____________ Henderson – Math 8 Homework for Week 14 Monday: HW#14A Find the slope from the points given: (show your mathematical steps). Slope = 1.) ( - 5, 6) (-8, 8) 2.) (2 , 6) (2, 4) 3.) (-2, 6) (5, 6) y 2 y1 x2 x1 4.) (-6 , 5) (7, 3) Write the equation of the line shown in the graph. Write the equation in slope-intercept form: y = mx + b. 5.) 6.) 7.) Identify the slope and y-intercept from the equation shown: 8.) y = -6x + 5 9.) y = 4 + 3x 10.) 5x – 7 = y 11.) 2 y = 3 – 4x slope slope slope slope y-intercept y-intercept y-intercept y-intercept Tuesday: HW# 14B Solve the following equations: 12.) 10 g 2 3 15.) 4 – 8y = – 36 13.) –12 = 4p – 6 16.) 12 – w = 40 4 14.) 13 – 1 p=–7 5 17.) – 2 – 6x = 8 Solve each equation. Check your solution. 18.) 11x = 24 + 8x 19.) 5w + 2 = 4w – 1 20.) 8y – 3 = 6y + 17 Determine whether the equation has one solution, no solution or infinite solutions, then SOLVE 21.) 3x + 4 = 3x + 4 22.) 2x = -14 23.) 4x + 7 = 4x - 6 Wednesday: HW14C Graph the system of equations on the same coordinate graph. Find the solution. 24.) y = 2x + 5 25.) y = -2x + 3 26.) y = 3x y=x+4 y= 1 x+3 2 27.) Complete the table of values and graph the equation. y = 2x – 5 work space X -2 0 1 3 Y y = -2x + 10 Thursday: HW#14D Simplify each expression. Write using POSITIVE exponents. 28) a) 42 43 29) a) w6 w9 30) a) 12 a 12 b 64 63 b) b) (9)2 • (9)-8 c) 8-4 c) 33 32 b) 85 8 4 86 c) b) (-6)2 1 c) 4 45 x 3 y 6 4 2 xy5 Simplify each expression. 31) a) –62 32) a) 52 53 33) a) 34) 1 a) 5 r8 r2 b) (4w3)2 b) p a4 a5 3 c) 50 c) 63 b 7 b5 3 b) (-2)3 (-2)4 c) 3-2