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Algebra I C.I.S.R. (Continuous Improvement standards review). Quarter 1. Week Starting . Week 1. MA.8.A.4.2. Kyle's teacher wrote the following inequality on the board: −4 k + 7 < 39 Which of the following is the solution to this inequality?. k < −8 k > −8 k < 11.5 k > 11.5. 3.
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Algebra I C.I.S.R.(Continuous Improvement standards review) Quarter 1
Week 1 • MA.8.A.4.2 Kyle's teacher wrote the following inequality on the board:−4k + 7 < 39 Which of the following is the solution to this inequality? k < −8 k > −8 k < 11.5 k > 11.5 3
Week 1 • MA.8.A.4.2 Which answer choice shows the number line that represents the solution to the inequality shown below? 6 + x/7 ≥ 8 $10 $110 $130 $270 4
Week 1 • MA.8.A.4.2 Jerome saved $50 to go the County Fair this weekend. Admission and food costs $25. Tickets for the rides cost $6 per ticket booklet. Jerome used the following inequality to determine the number of ticket booklets he would be able to buy. $25 + $6x ≤ $50 What is the maximum number of ticket booklets Jerome can buy? C. 5 D. 12 2 4 5
Week 1 • MA.8.A.4.2 Marcus earned a score of 75 on his first test. What is the minimum score he must earn on his second test for his mean score to be at least 80? 80 85 90 95 6
Week 1 • MA.8.A.4.2 Aisha has a choice of working 20 hours a week as a hostess earning $7.25 per hour or working 20 hours a week as a waitress earning $3.75 per hour plus tips. She used the following inequality to calculate the minimum amount she would need to earn in tips to get paid more than a hostess. $3.75(20) + x > $7.25(20) Which number line below represents how much money in tips Aisha would need to earn to get paid more than a hostess? $10 $110 • $130 • D. $270 7
Week 2 • MA.8.A.1.2 For the past 5 years, Jenny's mom has been keeping track of Jenny's height. The graph below shows how Jenny's height has increased each year. The slope of the line segment joining these points is .What does the slope of the line segment represent? Jenny grows 2 inches every year. Jenny grows 3 inches every year. Jenny grows 2 inches every 3 years. Jenny grows 3 inches every 2 years. 8
Week 2 • MA.8.A.1.2 Marsha decided to sell brownies to earn extra spending money. It cost her $10 to buy all the supplies needed to bake 60 brownies. Marsha then sells the brownies at $0.50 each. The following graph represents the amount of money Marsha earned.What does the x-intercept of the line segment represent? Marsha loses $10 if she sells no brownies. Marsha covers her expenses when she sells 20 brownies. Marsha earns $5 for every 10 brownies sold. Marsha loses $20 if she sells no brownies. 9
Week 2 • MA.8.A.1.2 The following graph shows Matt's heart rate in beats per minute (bpm) while exercising. Matt recorded his heart rate every 10 minutes for one hour.What does the y-intercept of the line segment represent? Every 10 minutes Matt's heart rate increases by 18 bpm. Matt's heart rate after 60 minutes of exercise is 0 bpm. Matt's heart rate before he begins exercising is 60 bpm. Matt's heart rate after 10 minutes of exercise is 78 bpm. 10
Week 2 • MA.8.A.1.2 A cell phone costs $50 to activate plus a monthly fee of $40. The amount of money paid to the cell phone company over a period of several months is shown in the graph below.What part of the graph represents the activation fee? the x-intercept the y-intercept the slope of the line the length of the line 11
Week 2 • MA.8.A.1.2 A company always charges $45 to ship a package, whether it weighs 1 lb or 20 lbs. If you were to create a graph showing the relationship between package weight and shipping fee, what would be true about the slope of the line? The slope of the line would be positive because the fee is directly proportional to weight. The slope of the line would be zero because the line is horizontal. The slope of the line would be zero because the line is vertical. The slope of the line would be negative because the fee and weight are inversely proportional. 12
Week 3 • MA.912.A.1.4 On Peter's summer vacation, he kayaked 1.0 × 106 meters down the Mississippi River. He paddled at a rate of 6.0 × 103 meters per hour. How many hours did he paddle on the river to complete his trip? Round your answer to the nearest 10. 20 160 170 1,700 13
Week 3 • MA.912.A.1.4 A department store is having a going-out-of-business sale. Each day, they reduce the price of every item in the store by 10% of the previous day's price until every item is sold. A jacket in the store is originally priced at $110. On Day 1 of the sale, the price of the jacket is $100.Assuming the jacket has not sold, what is the price of the jacket on the fourth day of the sale? $60.00 $65.61 $70.00 $72.90 14
Week 3 • MA.912.A.1.4 The Miami Heat play 41 home basketball games each season. A 3-year season ticket can be purchased for $410 per season. You receive a 4% discount if you pay in full at the time of purchase. What is the cost per game over the three years if you receive the 4% discount? $ 3 . 20 $ 9 . 40 $ 9 . 60 $ 10 . 00 15
Week 3 • MA.912.A.1.4 Last summer, Peter rode his bicycle 2.0 × 106 meters down the East Coast of the United States. He traveled at an average rate of 2.2 × 104 meters per hour. How many hours did he spend riding his bicycle during his trip? Round your answer to the nearest whole number. 9 10 90 91 16
Week 3 • MA.912.A.1.4 The Tampa Bay Buccaneers play 8 home football games each season. A 3-year season ticket can be purchased for $300 per season plus a one time deposit of $261. Five percent of the deposit is refunded the second year as well as the third year. What is the cost per game over the 3 years? $22.29 $47.29 $48.38 $70.13 17
Week 4 • MA.912.A.3.1 What is the value of x in the equation below?3(x + 2) = 6x + 9 -1 1 5/3 7 18
Week 4 • MA.912.A.3.1 What is the value of x in the equation below?4(x + 3) = 9x + 16 + 3x -4 - 1/2 1/2 8 19
Week 4 • MA.912.A.3.1 What is the value of x in the equation below?1/2(x + 4) + 3 = 2x(9/2 + 3/4) 5/7 1 2 1/2 20
Week 4 • MA.912.A.3.1 What is the value of x in the equation below?14x − 6 = −3 + 2x + 5 2 / 3 21
Week 4 • MA.912.A.3.1 The instructions for baking a turkey recommend cooking a 12-pound bird for 30 minutes in a 350 degree oven. The instructions also suggest adding 3 extra minutes of cooking time for each additional pound. The cooking time for a turkey can be calculated using the equation below, where w represents the weight of the turkey. If Maria needs to cook her turkey for 45 minutes, how many pounds does Maria's turkey weigh?Cooking Time = 3(w - 12) + 30 1 7 22
Week 5 • MA.912.A.3.2 Name the property shown: (3z)m = 3(zm). Identity Property of Multiplication Commutative Property of Addition Associative Property of Multiplication Associative Property of Addition 23
Week 5 • MA.912.A.3.2 Name the property shown: 8 = 1 · 8. Identity Property of Multiplication Commutative Property of Addition Associative Property of Multiplication Associative Property of Addition 24
Week 5 • MA.912.A.3.2 Name the property shown: 10(3 + 6) = 10(6 + 3). Identity Property of Multiplication Commutative Property of Addition Distributive Property Associative Property of Addition 25
Week 5 • MA.912.A.3.2 What property is shown in the following equation? 13 + x + y = 13 + y + x Associative Property of Addition Commutative Property of Addition Identity Property of Zero Identity Property of 1 26
Week 5 • MA.912.A.3.2 Which property does 4(17) = 4(20) – 4(3) illustrate? Associative Property of Multiplication Commutative Property of Multiplication Distributive Property Identity Property of Multiplication 27
Week 6 • MA.912.A.3.3 Which of the following shows the equation below correctly solved for b?4ab = 6bc − 5b + a . . . . 28
Week 6 • MA.912.A.3.3 Which of the following shows the equation below correctly solved for a?b = 4a − 17 − 2b . . . . 29
Week 6 • MA.912.A.3.3 Which of the following shows the equation below correctly solved for m?mn = 3m − 2 . . . . m = m = m = m = 30
Week 6 • MA.912.A.3.3 The area formula for a triangle is shown below.A = bh Which of the following shows this equation correctly solved for b? . . . . b = b = Ah b = 2Ah b = 31
Week 6 • MA.912.A.3.3 The formula below shows how to calculate body mass index (B), using weight (w) and height (h).B = Which of the following shows this equation correctly solved for w? . . . . w = Bh2 − 703 w = B + h2 − 703 w = 32 w =
Week 7 • MA.912.A.3.5 Marilyn spent a total of $52.34 on two new outfits. She bought two shirts for $12.99, a pair of pants of $18.50, and a skirt. If the sales tax rate was 7.5%, how much did she pay for the skirt? $4.21 $7.85 $17.20 $20.84 33
Week 7 • MA.912.A.3.5 John is buying raffle tickets at a basketball game. During halftime, the winning ticket will be drawn, and the winner will receive a video game console. John brought $50 with him to the game, but he spent $12 to get into the game and $7 on food and a soda.If each raffle ticket costs $3.75, what is the maximum number of raffle tickets he can buy? 7 8 9 10 34
Week 7 • MA.912.A.3.5 Juan wants to make a trail mix that contains 40% pecans. He has a bag of trail mix that has only 25% pecans at home and another bag that contains only pecans. How much of each should he mix together to make a 16-oz bag of trail mix that contains 40% pecans? 8 oz of 25% trail mix and 8 oz of pecans 12 oz of pecans and 4 oz of 25% trail mix 12.8 oz of 25% trail mix and 3.2 oz of pecans 12.8 oz of pecans and 3.2 oz of 25% trail mix 35
Week 7 • MA.912.A.3.5 The math club needs to raise at least $563 for the national competition this summer. They decide to sell slices of pie on March 14, Pi Day, to earn the amount needed.If they sell each slice of pie for $3 and make 75% profit on each slice, what is the minimum number of slices they need to sell to earn enough money for the national competition? 2 5 1 36
Week 7 • MA.912.A.3.5 Milan needs 8 oz of a 20% alcohol solution for a chemistry lab. Unfortunately, his teacher only has a 1% alcohol solution and a 50% alcohol solution.How many ounces of the 50% alcohol solution should be mixed with the 1% alcohol solution to make 8 oz of the 20% alcohol solution Milan needs? Round to the nearest tenth of an ounce. 3 . 1 37
Week 8 • MA.912.A.5.4 The ratio of the neck to the belly of a violin is 2 to 3. If the belly of a violin is 354 millimeters, what is the length of the neck, in millimeters? 118 236 531 708 38
Week 8 • MA.912.A.5.4 There is an equal number of boys and girls in a 9th grade class. The ratio of the average heights of boys to girls is 12 to 11. If the average height of the girls in the class is 66 inches, what is the average height, in inches, of the boys in the class? 55 60 72 77 39
Week 8 • MA.912.A.5.4 The length to height ratio of a rectangular window is 5 inches to 4 inches. What is the height of this window if the length is 40 inches? 32 inches 49 inches 50 inches 64 inches 40
Week 8 • MA.912.A.5.4 In a box of hot chocolate, 3 scoops of powder contain 50 calories and will make one serving of 6 fluid ounces. Heidi used the proportion below to determine the number of calories that are in a fifteen ounce serving of hot chocolate. What is the value of x? = 20 65 125 375 41
Week 8 • MA.912.A.5.4 A mural is planned on a 12-inch by 18-inch rectangular piece of paper. A tree drawn on the paper is 7 inches tall. The finished mural is 8 feet by 12 feet. What is the height of the tree on the finished mural, in inches? 4 2/3 37 1/3 56 84 42