Name: _______________________ Review!! 1st Quarter Exam Practice 1 2 Jarvis rode his bike 4.2 miles in 0.25 hours. What was his average speed in mi/h? A 1.05 mi/h C 8.4 mi/h B 16.8 mi/h D 10.5 mi/h During a recent football game, Aaron Rodgers completed 12 out of his first 15 passes. How many passes can he expect to complete if he throws 40 passes in the entire game? A 20 C 32 B 3 4 5 6 4 1 4 +9 = 9 2 17 A 13 18 1 B 14 18 8 D C D 4 15 5 11 8 13 9 C 1 D 1 B About 4 gallons D About 6 gallons Which two ratios are proportional? 12 16 30 36 and and A C 27 40 45 54 15 20 and 36 35 D 11 12 A b 12 30 40 C 12 40 b 30 B b 40 12 30 D 30 b 12 40 The number of words Bella types is proportional to the number of minutes she is typing. In 3 minutes she types 126 words. What is the constant of proportionality? A k = 42 C k = 129 B k = 123 D k = 378 Nick’s football team is competing in a tournament. They have won 12 out of 20 games. What is their ratio of wins to losses? A 3:5 C 2:3 B 3:2 D 5:3 Kristen is making smoothies. The ratio of yogurt to juice is 3 to 4. If Kristen has 16 cups of juice, how many cups of yogurt does she need? A B 13 27 20 and 45 34 Review 1 Quarter Exam st Of the 30 girls who tried out for the lacrosse team at Euclid Middle School, 12 were selected. Which proportion can be used to find b, the number of boys that would be selected at the same rate if 40 boys tried out? 12 cups 15 cups C D 16 cups 48 cups Which of the following graphs represents a proportional relationship? A C B D 2 3 Alex has 9.1 gallons of gas left in the tank of her car. Her car gets 15 miles to the gallon on the highway. She wants to travel to the beach, which is 75 miles of highway driving. About how many gallons of gas will Alex have left after she reaches the beach? (only considering the highway driving) A About 3 gallon C About 5 gallons B 10 13 Find the product of 18.3 and .35 A 52.29 C 5.229 B 6.405 D 64.05 3 6 ÷ = 7 14 9 A 49 9 28 Find the product of 19.2 and 6.3 A 120.96 C 219.6 B 1209.6 D 21.96 B 7 30 Date: _______ Class: Pre-Algebra The relationship between the length of one 14 side of a square, x, and the perimeter of the 19 Tell whether the graph represents a proportional relationship. If so, write the equation. square, y, can be represented in an xy-plane by a straight line. Which of the points with coordinates (x, y) lie on the line? A (1, 3) C (12, 3) B (3, 12) D (3, 1) Alexa bought 22 bags of fruit that each 15 weighed 4.27 pounds. Estimate the total weight of all the bags Alexa bought. A 50 lb C 100 lb B 75 lb D 125 lb 16 Which of the following tables represents a proportional relationship between x and y? A B C D x 2 4 5 6 y 4 2 6 5 x 5 6 7 8 y -8 -7 -6 -5 x 1 2 3 4 y 4 8 12 16 x 2 3 4 5 y 6 9 13 15 20 18 A C B y 3x D 3x 3 y 0 To make lemonade, 2 cups of lemon juice are mixed with 7 cups of water. Describe and correct the error in the proportion used to find the number of cups of lemon juice j to mix with 28 cups of water. 2 28 = 7 𝑗 B Not proportional C proportional; 𝑦 = 6𝑥 D proportional; 𝑦 = 6𝑥 + 6 Tell whether the data set shows a proportional relationship. If so, identify the constant of proportionality. Cost $12 $20 $24 $32 $60 A Not proportional C Proportional; k=9 B Proportional; D Proportional; k=4 1 k= 4 21 Which equation represents a proportional x y 3 proportional; 𝑥 = 6𝑦 Number of Baskets 3 5 6 8 15 3 4 Jane lives 5 miles from school. On the way to school one morning Jane’s mom ran out of gas 17 relationship? 3 y x A after traveling 4 2 miles. If she decides to walk 3 the rest of the way, how far will Jane need to walk? 22 1 2 Fred studied for his math test for 3 hours. His friend Sam studied for 1 3 hours. How much 4 longer did Fred study than Sam? Name: _______________________ Review!! 1st Quarter Exam Practice Date: _______ Class: Pre-Algebra Review 1 Quarter Exam st SHORT AND EXTENDED RESPONSE – You must show all work where appropriate for full credit. A correct response with insufficient work will only receive 1 credit. 23 A recipe calls for 1 5 stick of butter for every 4 8 25 The line graphed below represents the total distance traveled by a tree sloth over time. cup of milk added. What is the unit rate of sticks of butter to cups of milk, as a fraction in simplest form? Show all work. Answer ________________ PART A Based on this graph, which of the following statements is Shelia mixed 3 ounces of blue paint with 2 true? 24 ounces of red paint. She decided to create 20 A The tree sloth traveled 28 feet in 5 minutes. ounces of the same mixture. If the relationship is proportional, how many ounces of red paint does B The tree sloth traveled 20 feet in 4 minutes. Shelia need for the new mixture? Show all work. C The tree sloth traveled 4 feet in 1 minute. D The tree sloth traveled 18 feet in 3 minutes. PART B What number represents the constant of proportionality for the line? Answer ____________ PART C What ordered pair represents the unit rate? Answer ____________ Answer ___________ounces of red paint 26 Mary ran the 5-kilometer race in 45 minutes while Melanie ran the 2-kilometer race in 17 minutes. Part A – What was Mary’s speed in kilometers per minute? Round to nearest thousandth of a km. Answer: __________ kilometers per minute Part B – What was Melanie’s speed in kilometers per minute? Round to nearest thousandth of a km. 28 Pamela drove at a steady speed during a road trip. She recorded the amount of time she drove and the distance she covered as shown in the table below. Time (t) (in hours) 1 2 4 6 Distance (d) in miles 60 120 240 360 PART A Plot these points on the graph below and connect them with a straight line. Answer: __________ kilometers per minute Part C – How many minutes did it take Mary to travel 1 km? Answer: _________ minutes Part D – How many minutes did it take Melanie to travel 1 km? Answer: ___________________ PART B What are the coordinates of the point on the line where Part E – Who is the faster runner? Justify your response. t 5 ? Coordinates ____________ 27 Brian has started to collect minion figurines. He has bought 4 minion figurines for $38. PART A Assuming cost is proportional to the number of minion figurines, write an equation relating the cost, c, to the number of minion figurines, m. Equation ________________________ PART C What do the coordinates of the point you found in part B specifically tell you about Pamela’s progress at that point in the trip? 29 Andrew types 12.5 words per minute. What ordered pair on a graph of his typing rate would represent the number of minutes it would take him to type 100 words? Show all work. PART B Brian has saved $114 to spend on his minion figurine obsession. How many minion figurines can he purchase? Show all work. Answer (______,______) Answer __________figurines 30 A crew of highway workers paved 7 2 mile in 15 3 33 The line graphed below represents the cost of movie tickets at a local cinema. hour. If they work at the same rate, what portion of a mile will they pave in one hour? Show all work. Answer ________________ 31 For every person who has the flu, there are 6 people who have only flu-like symptoms. If a doctor sees 56 patients, determine how many patients only have flu-like symptoms. PART A Based on this graph, which of the following statements is true? A It costs $20 for 2 movie tickets. B It costs $90 for 16 movie tickets. C It costs $50 for 10 movie tickets. D It costs $30 for 3 movie tickets. Show all work. PART B What number represents the constant of proportionality for the line? Answer ____________ Answer ___________ patients PART C What ordered pair represents the unit rate? Jonathan reads 2.5 magazines per day. What 32 ordered pair on a graph of his reading rate would represent the number of days it would take him to read 30 magazines? Show all work. Answer ____________ Answer (______,_____) 34 The cost of apples in a grocery store is directly proportional to the number of apples purchased. Michelle paid $2.52 for 6 apples. PART A If c represents the cost, in dollars, and n represents the number of apples purchased, write an equation that best represents this relationship. Equation ________________________ PART B Michelle wants to make apple cider. If Michelle has $16.80, how many apples could she purchase? Show all work. No calculator allowed for the following questions 36 PART A: x 9 3 10 PART C: 40 5 x 2 PART B: 2 10 5 p PART D: 7 n 3 21 Answer ____________ apples 35 The cost of 3-D movie tickets is shown in the table below. Number of Tickets (x) 1 2 3 5 Cost in dollars (y) 6 12 18 30 Solve each proportion Write each fraction as a decimal and state 37 whether it is terminating or repeating. PART A: 1 3 PART C: 7 8 PART B: 6 20 PART D: 3 11 PART A Plot these points on the graph below and connect them with a straight line. 38 A person who is 4 feet tall stands next to a telephone pole. The person casts a shadow that is 3 feet long, and the telephone casts a shadow that is 18 feet long. How tall is the telephone pole? PART B What are the coordinates of the point on the line where x 4? Coordinates __________ PART C Explain on the lines below what the coordinates of the point you found in part B specifically mean in the context of the problem. 39 Nicole is 5 feet tall and has an 8-foot shadow. Julie is standing next to Nicole and has a 10-foot shadow. How tall is Julie?