Ricky s Essential Practice Problems MAJOR CLUSTERS (70% 80% of Test Points)

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1 Ratios & Proportional Relationships Ricky s Essential Practice Problems MAJOR CLUSTERS (70% 80% of Test Points) The Number System Expressions & Equations A pair of sneakers was on sale for $153, following a 15% discount. Determine the original price. Yesterday, the temperature at noon was 11.4 F. By midnight, the temperature had decreased by 15.7 degrees. What was the temperature at midnight? Marisa s car gets an average of 28 miles per gallon of gas. She plans to drive 200 miles today and 220 miles tomorrow. How many gallons of gas should she expect to use in all? Tasha is buying a book that is regularly $12.99 and is on sale for ¼ off. Which expression can she use to estimate the discount on the book? A sweater originally cost $ Last week, Moesha bought it at 20% off. What was the sale price? What is the solution set to the inequality 6z + 5 > 35? Stuart is buying a pair of jeans that regularly cost $40. They are on sale for 20% off. If the tax rate is 8%, what is the sale price of the jeans including tax? What is the solution set to the inequality 4x 2-14?

2 Mr. Callaway needs to purchase enough grass seed to cover a 3000-square-foot lawn and a 4200-square-foot lawn. If 40 ounces of grass seed will seed a 2400-square-foot lawn, how many ounces does he need to seed both lawns? Jason bought a jacket on sale for 50% off the original price and another 25% off the discounted price. If the jacket originally cost $88, what was the final sale price that Jason paid for the jacket? Marl borrowed $2,000 at 12% simple interest for two years. If he makes no payments, how much interest will he owe at the end of that time period? A recipe for 1 batch of cookies requires 2/3 cup of cooking oil. How many cups of cooking oil would be required for 4 batches of cookies? Tamika works in a shoe store and is paid a 12% commission on her sales. In January her sales total was $3,740. To the nearest dollar, how much did Tamika earn in commission for January? How many inches are in 6¾ feet? Joan needs $60 for a class trip. She has $32. She can earn $4 per hour mowing lawns. Form an equation to represent this relationship and then solve to determine the number of hours must Joan work to have the money she needs. Juanita earns $36 for 3 hours of work. At that rate, how long would she have to work to earn $720?

3 Simplify: (5x + 3) (3x 2)

4 A scale drawing for a construction project uses a scale of 1 inch = 4 feet. The dimensions of the rectangular family room on the scale drawing are 7.5 inches by 12 inches. What will be the actual area of the floor of the family room after the construction project is completed?

5 King s Hotel had 160 rooms and 35% of the rooms did not have an ocean view. Write an equation to find the total number of rooms that had an ocean view. A complete stranger spent $147 on the following art supplies. 7 pads of colored paper for $3.50 each 12 packs of markers for $6.25 each Some jars of paint for $4.75 each How many jars of paint did the stranger buy? David bought a computer that was 20% off the regular price of $1,080. If an 8% sales tax was added to the cost of the computer, what was the total price David paid for it? Rectangle LMNP has a length of 3x + 7 meters and a width of 2x 2 meters. What is its perimeter? A store sold 650 bicycles last year. This year the store sold 572 bicycles. What is the percent decrease in the number of bicycles sold from last year to this year?

6 A bookcase has seven shelves. Each shelf is 3! feet long.! a. How many feet of space are available for books on all of the shelves combined? A set of 28 reference books will be placed on the shelves. Each book is! foot wide.! b. How many books can fit on each shelf? c. How many shelves will be used? How much space will be left on the bookcase?

7 Convert 3/11 to a decimal equivalent using long division.

8 Katie bought 4 sweaters that each cost the same amount and 1 skirt that cost $20. The items she bought cost a total of $160 before tax was added. What was the cost of each sweater?

9 Without a calculator, find the decimal equivalent of 7/8. Evaluate:!!!!!"!" Craig went bowling with $25 to spend. He rented shoes for $5.25 and paid $4.00 for each game. What was the greatest number of games Craig could have played? During a sale, a store offered a 40% discount on a particular camera that was originally priced at $450. After the sale, the discounted price of the camera was increased by 40%. What was the price of the camera after this increase? Graham s monthly bank statement showed the following deposits and withdrawals: If Graham s balance in the account was $47.86 at the beginning of the month, what was the account balance at the end of the month?

10 Kelsie sold digital cameras on her web site. She bought the cameras for $65 each and included a 60% markup to get the selling price. To the nearest dollar, what was the selling price for one camera? A store purchased a DVD for $12.00 and sold it to a customer for 50% more than the purchase price. The customer was charged a 7% tax when the DVD was sold. What was the customer s total cost for the DVD?

11 The Lions won 16 games last year. This year the Lions won 20 games. What is the percent increase in the number of games the Lions won from last year to this year? Scientists determined that Antarctica s average winter temperature was C. The difference between this temperature and Antarctica s highest recorded temperature was degrees. What was Antarctica s highest recorded temperature? Jocelyn was shopping at a farmers market. She observed the prices of cucumbers at several stands. Which sign shows a proportional relationship in the pricing of the cucumbers? Solve for x: 0.5x 78.2 = 287

12 CHALLENGING PROBLEMS There are two tables, table A and table B. Table A has a length of 5! feet and a! width of 3! feet. Table B has a length of 4! feet. Both tables have the same area.!! Write an expression that can be used to find the width of Table B. Mr. and Mrs. Blank sold their house for $200,000 and needed to hire an attorney to handle the closing procedures. Mr. Gable, an attorney, charges a flat rate of $2500. Another attorney, Ms. Mandel, charges 1½% of the cost of the house. Which attorney would be cheaper for Mr. and Mrs. Blank to use? What is the width? Travis, Jessica, and Robin are collecting donations for the school band. Travis wants to collect 20% more than Jessica, and Robin wants to collect 35% more than Travis. If the students meet their goals and Travis collects $43, how much money did they collect in all? Andy s monthly earnings consist of a fixed salary of $2800 and an 18% commission on all her monthly sales. To cover his planned expenses, Andy needs to earn an income of at least $6400 this month. A: Write an inequality that, when solved, will give the amount of sales Andy needs to cover his planned expenses. B: Graph the solution of the inequality.

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14 SUPPORTING CLUSTERS (10% 20% of Test Points) Probability & Statistics A fair coin is tossed three times. What is the probability that two heads and one tail in any order will result?

15 A storeowner made a list of the number of greeting cards sold last month. The store sold 167 thank-you cards, 285 birthday cards, and 56 blank cards. Based on these data, which number is closest to the probability that the next customer will buy a blank card?

16 Laticia randomly selected 25% of the seventh-grade students in her school and asked them their favorite season. Of the students surveyed, 51 chose summer as their favorite season. Based on the data, what is the most reasonable prediction of the number of seventh-grade students in her school who would choose summer as their favorite season? A 15 B 75 C 150 D 200

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18 An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, which fraction is closest to the probability that the next customer will pay with cash? A ½ B ⅓ C ¼ D ⅕

19 During an experiment the following spinners were spun. Represent (list) the sample space. The line plot shows the number of minutes early (negative values) or late (positive values) the trains at a certain station were for 1 week. Based on these results, what is the probability a train was 5 or more minutes late? Determine p(even, red). Determine the median value for the above line plot.

20 ADDITIONAL CLUSTERS (5% 10% of Test Points) Geometry What is the radius, in centimeters, of a circle that has a circumference of 16π inches? The circumference of a circle is 11π inches. What is the area, in square inches, of the circle? Express your answer in terms of π. The mean radius of Earth is 6,371.0 kilometers and the mean radius of Earth s Moon is 1,737.5 kilometers. What is the approximate difference in the mean circumferences, in kilometers, of Earth and Earth s Moon? Round your answer to the nearest tenth of a kilometer. The city is planning to add a jogging track to a park. The figure is a scale drawing of the track. Its scales is! inch = 15 feet.! Determine the circumference of the following circle. Part A What is the area inside the entire jogging track? Use the exact value of π. Part B How long is the actual running track?