Math 6 EQT Study Guide Quarter 3. and a package of 12 golf balls. The package with 3 golf balls costs $4.59, and the package with 12 golf balls

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1 Math EQT Study Guide Quarter 3 1. How will the surface area of the figure represented by the net change if the length increases by 7 feet? The original figure has dimensions of l = 12 feet, w = feet, and h = 11 feet as shown below. [.G.4] What is the area of the trapezoid? [..G.1] 3. Solve the proportion. [.RP.3] 4. At a conference, there are 105 math teachers and science teachers. Write the ratio of math teachers to science teachers in simplest form. [.RP.3] 5. Miguel rode his bike on Monday and again on Friday. His path for Monday is shown on the graph below. Each unit represents 1 mile. [.G.3] N (3, 9) (9, 9) (3, 2) (9, 2) E 2 On Friday, Miguel rode 18 miles farther than he did on Monday. How could his path have changed while remaining rectangular?. Graph the rectangle with vertices A( 2, 0), B( 2, 5), C(4, 5), and D(4, 0). [.G.3.NS.8] 7. Graph the points on a coordinate grid and connect them to form a polygon. Then classify the polygon. [..G.3] 8. Which regions are congruent in order for the figure to represent the net of a rectangular prism? [.G.4] 9. Golf balls come in a variety of packages. A particular brand of golf ball comes in a package of 3 golf balls and a package of 12 golf balls. The package with 3 golf balls costs $4.59, and the package with 12 golf balls costs $ Which is the better deal? What is the unit price of the better deal? [.RP.2]

2 10.Pierre needs 100 cans of juice for a picnic. At a warehouse store, he finds three brands of juice sold in cases. The prices and the numbers of cans are given in the tables. [.RP.3] Brand A Price $25 Number of cans 3 Brand B Price $33 Number of cans 48 Brand C Price $20.50 Number of cans 30 Part A: Explain how to complete each table. Then complete the tables. Part B: How many cases of brand A, brand B, and/or brand C should Pierre buy in order to spend the least amount of money AND have the fewest number of extra cans? (Note: Pierre does not have to buy all three brands.) What is the cost and how many extra cans will Pierre have? 11. Find the volume of the rectangular prism. [.G.2] Katrina is building a square sandbox with sides 7 feet long. She wants to put sand 0.85 feet deep in the box. How many cubic feet of sand should Katrina order? [.G.2] 13. Find the day in which Allana accomplished the most tasks per hour. [.RP.2] Day Accomplishments Hours Monday 3 5 Tuesday 7 8 Wednesday 3 5 Thursday Which gives the perimeter of the rectangle? [.G.3]. Find the unit rate. [.RP.2] 485 km in 5 h 1. In the last three years, Frederico s basketball team won 20 more games than they lost. If they won 0 games, what was the ratio of wins to losses? Write the ratio in all three forms. [.RP.3] 17. Find the area of the polygon. All angles in the figure are right angles. [.G.1] 10.5 m 3 m 7.5 m m 4.5 m 4.5 m 18. Bars of soap come in packages of 2 and packages of 1. The 2-bar pack costs $1.98, and the 1-bar pack costs $1.32. Which is the better deal? What is the price per bar of the better deal? [.RP.3.b] 19. Suppose that all blocks in a city are the same length. Streets run north and south. They are numbered consecutively, starting with First Street. Avenues run east and west. They are also numbered consecutively, starting with First Avenue. Jerome lives at the corner of Third Street and Twenty-Fourth Avenue. He walks to the bank at Third Street and Eleventh Avenue, to the post office at Tenth Street and Eleventh Avenue, and then to the barbershop on Tenth Street and Twenty-Fourth Avenue. Then Jerome walks home. How many blocks does Jerome walk? [.NS.8]

3 20. A set of trading cards sells for $8.95 before tax. After sales tax, it costs $9.0. What is the sales tax rate? [.RP.3] 21. A recipe calls for 8 tablespoons of milk for every 17 cups of flour. If the chef puts in 119 cups of flour, how many tablespoons of milk must the chef add? [.RP.3] 22. Find the area of the parallelogram. [.G.1] cm cm 23. Gloria is making a quilt and wants to use fabric that normally costs $12 for one yard. She finds two pieces of the fabric on a sale table. One piece costs $ and is 1.5 yards long. The other costs $3.50 and is 0.5 yard long. [.RP.2] Part A: Find the unit cost of each piece of fabric. Part B: Gloria decides to buy the two pieces of sale fabric. She estimates that the unit cost for her total purchase will be about $7.50 per yard. Is her estimate reasonable? Explain. 24. Mary has identical boxes. The rectangular base of each box has area 1 ft 2. The height of each box is 10 inches. What is the total volume of all the boxes in cubic feet? [.G.2] 25. A driveway is 12 feet long, 12 feet wide, and inches deep. How many cubic feet of concrete will be required for the driveway? [.G.2] 2. Plot and connect the points to form a rectangle. Then find the length, width, and area of the rectangle. [.G.3] x Determine how the surface area of the prism represented by the net changes if the height of the prism is doubled. [.G.4] 18 9 not to scale 28. What is the area of the polygon? [.G.1] 29. Yoshi must make 35% profit on each item he sells at the school store. Explain how to determine the selling price Yoshi must charge for each item in order to make this profit. Then complete the table. [.RP.3] Item Bulk Wholesale Cost Pens $22.50 for 50 pens Highlighters $37.00 for 100 highlighters Erasers $5.40 for 3 erasers Pencil grips $.00 for 100 pencil grips Pencils $.84 for 144 pencils Folders $20.00 for 100 folders Rulers $10.80 for 24 rulers Protractors $1.8 for protractors Unit Cost Selling Price Per Unit 30. Find a ratio equivalent to. [.RP.3] y

4 Math EQT Study Guide Quarter 3 Answer Section 1. ANS: The surface area increases by 238 square feet. 2. ANS: 3. ANS: 4. ANS: 7 to 1 5. ANS: Miguel could have ridden 9 miles farther east.. ANS: 7. ANS: pentagon; not regular 8. ANS: A and C, B and D, and F and G must be congruent for the figure to be the net of a rectangular prism. 9. ANS: 3-ball pack at $1.17 per golf ball 10. ANS: Part A: Multiply the price and number of cans by 2 to complete the second column, by 3 to complete the third column, and by 4 to complete the last column. Brand A Price $25 $50 $75 $100 Number of cans Brand B Price $33 $ $99 $132 Number of cans Brand C Price $20.50 $41 $1.50 $82 Number of cans Part B: Two cases of brand A (72 cans) and one case of brand C (30 cans); $70.50; 2 extra cans 11. ANS: 1 cubic units 12. ANS: ANS: Tuesday 14. ANS: 1. ANS: 1. ANS: 13, to 13, : ANS: m ANS: 2-bar pack at $0.99 per bar 19. ANS: 40 blocks 20. ANS: 7.2% 21. ANS: 5 tablespoons 22. ANS: 90 cm ANS: Part A: The unit rate for the cost of the longer piece of fabric is. The unit rate for the cost of the shorter piece of fabric is. Part B: No. Sample answer: If the unit cost is $7.50 per yard, her total cost would be $.00 for two yards. The total cost of the purchase is $18.50, so Gloria s estimate is too low. The actual unit cost is. 24. ANS: 8 ft ANS: 972

5 10 D A x C B 2. ANS: 10 Length Width Area 27. ANS: The surface area increases by 432 square units. 28. ANS: 29. ANS: To find each unit cost, divide the bulk cost by the number of items in the bulk. Then multiply that unit cost by 1.35 to find the selling price per unit. 30. ANS: Item Bulk Wholesale Cost Unit Cost Selling Price Per Unit Pens $22.50 for 50 pens $0.45 $0.1 Highlighters $37.00 for 100 $0.37 $0.50 highlighters Erasers $5.40 for 3 erasers $0. $0.20 Pencil grips $.00 for 100 $0. $0.20 pencil grips Pencils $.84 for 144 $0.11 $0. pencils Folders $20.00 for 100 $0.20 $0.27 folders Rulers $10.80 for 24 rulers $0.45 $0.1 Protractors $1.8 for $0.28 $0.38 protractors y