13-14 CIA III Review Look at this expression. (5 + 2 3) +4×3 What is the value of the expression? What is the value of this expression? 3³ + 8 2 + 3² Emily simplified this expression. Expression: (8 − 5)2 + 23 × 4 Step 1: (3)2 + 23 × 4 Step 2: 9 + 23 × 4 Step 3: 9 + 9 × 4 Step 4: 9 + 36 Step 5: 45 Emily made a mistake. Which step first shows her mistake? Look at this expression. 15 + 3(11 + 20) What is the value of the expression? A plumber uses this equation to calculate the cost, C, in dollars, of a repair that takes h hours. C = 40 + 30h If a repair takes 2.5 hours, what is the total cost? Pastrami and roast turkey each cost $9 per pound at a deli. If Jessica buys p pounds of pastrami and t pounds of turkey, the total cost in dollars is represented by this expression. 9(p + t) If p = 4 and t = 5, what is the total cost? Molly wrote this expression, using x to represent her age now. x−5 Which of the following could be represented by the expression? Molly is 5 years old. b) Molly’s age in 5 years. c) Molly’s age 5 years ago. d) Molly is 5 times older than her sister. a) Chloe ordered cards by the box from a company. She ordered 10 boxes, but 2 of the boxes were damaged when they arrived. The company charged her c dollars per box. The cost of the damaged boxes was subtracted from the total cost. Which expression represents the amount of money Chloe owes? 8–c b) 8c – 2c c) 10c – 2 d) 10c – 2c a) Tom builds a shed for his lawnmower. Tom’s lawnmower is x feet long. The shed is 3 feet longer than the lawnmower. The shed is x feet wide. Which expression represents the area of the shed? 2x +3 b) x² + 3 c) 2x + 6 d) x² + 3x a) Look at this equation. n + 8 = 13 What value of n makes the equation true? Look at this equation. 6 = 24x What value of x makes the equation true? a) 4 b) ¼ c) 6 d) 1/8 Jane babysits for $6 per hour. She earned $360 last week. This equation represents the number of hours, h, Jane babysat last week. 6h = 360 What could Jane do next to both sides of the equation to solve for h? Divide by 6 b) Multiply by 6 c) Divide by 360 d) Multiply by 360 a) Yolanda baked 14 cupcakes. She wants to take a total of 20 cupcakes to a party. Write an equation that can be used to determine x, the number of cupcakes Yolanda still needs to bake. A store sells apples in bags. The number of pounds of apples in different numbers of bags is shown in the table below. Which equation represents the relationship between the number of pounds of apples, A, in b bags? A = 8b b) A = 16b c) A = 32b d) A = 56b a) Bags of Apples # of Bags (b) Pounds of apples (A) 4 32 6 48 7 56 A snail crawls up a tree at a speed of 5 inches per minute. Which equation relates the time, t, in minutes the snail has been crawling, with the distance, d, in inches it has crawled? d = 5t b) t = 5d c) d = 5/t d) t = 5/d a) There are 12 eggs in an egg carton. a. Write an equation that can be used to find e, the number of eggs in c cartons. b. How many cartons are needed to hold 60 eggs? A number T is less than –15. Which point on this number line could show the location of | T| , the absolute value of T ? Point A b) Point B c) Point C d) Point D a) Point T is located at (1, 4). Point U is located at (6, 4). The distance between a third point, point V, and point T is equal to the distance between points T and U. Which of the following could be the coordinates of point V? (4, -4) b) (-4, 4) c) (5, 4) d) (4, 5) a) The dot on this number line represents Kelsie’s debt. Which statement is true about her debt? It is greater than $40. b) It is less than $10. c) It is greater than $50. d) It is less than $20. a) This coordinate plane shows a map of a park. Each unit on the plane represents 25 yards. Quentin is at point Q on the map. He walks in a straight line to his friend Allan, who is located at point A. What distance does Quentin walk? 25 This number line is divided into equal parts. The box represents a number on the number line. What is the correct number to place in the box? 10 A town clerk wrote this inequality to represent the budget, b, for the library. b ≤ 2500 The town spent $2100 on books and $300 on magazines. Which number line represents the amount of money that could still be spent? a) b) c) d) James is studying different kinds of weather. Rain has water drops that are larger than 0.03 inch in diameter. Small hailstones are less than ½ inch in diameter. Which set of inequalities best represents the size of raindrops, r, and the size of hailstones, h, in inches? a) b) c) d) r > 0.03 r < 0.03 r < 0.03 r > 0.03 h<½ h>½ h<½ h>½ You may use this coordinate plane to help you answer the question. Hector is plotting points on a four-quadrant coordinate plane. In which quadrant should he plot the point with coordinates (3, -4)? Quadrant I b) Quadrant II c) Quadrant III d) Quadrant IV a) A high diver in high school, jumped off the high dive which was 23ft from the water. He reached the bottom of the pool which was 10ft below the surface and then resurfaced at the top of the water. Which equation shows his total distance covered? a) 23 + (-10) + 10 = 23ft b) 23 + |-10| + 10 = 43ft c) 23 + (-10) + 10 = 43ft d) 30 + -10 + 10 = 43ft Draw a picture to show your work: