Q3:1 - CALCULATOR and turned in the following week with your new check- up. 1. The pictures below show how two different groups of shapes balance a scale. a. If 1 block weights 10 pounds, what is the weight in pounds, of 1 ball? Show or explain how you got your answer. b. What is the total number of blocks needed to balance 6 balls? Show or explain how you got your answer. c. What is the total number of balls needed to balance 10 cans. Show or explain how you got your answer. 1
Q3:1 NO CALCULATOR 2. If n = 9, evaluate: 5n + n [ A. - 27 C. - 126 B. 36 D. - 33 3. If n = 9, evaluate: 5n + n [ A. - 27 C. - 126 B. 36 D. - 33 4. Let x = 4 and y = - 3. Substitute to find value of the expression below: `(b`cd) f A. - 12 C. B. 12 D. gh[ f gh[ [f 5. Let x = 3. Substitute to find the value of the expression below: i bj[ c k l d bcn o n A. - 31 C. gdhg n B. 36 D. 1 6. Evaluate: - 10 + 6 A. - 16 C. 4 B. - 4 D. 16 2
Q3:2 CALCULATOR 1. Marcus does sit- ups every night for his exercise program. Each week, he increases the number of sit- ups he does every night, as shown in the table below. Based on the pattern shown in the table, what is the total number of sit- ups that Marcus will do every night during week 4? A. 50 C. 60 B. 55 D. 65 2. The table below shows the number of milligrams of sodium in each of three different sizes of a soft drink. Based on the pattern in the table, what is the total number of milligrams of sodium in a d24- fluid- ouce cup of the soft drink? A. 90 mg C. 126 mg B. 108 mg D/ 144 mg 3
Q3:2 NO CALCULATOR 3. Evaluate: 18 + (- 4) A. 22 C. - 14 B. - 22 D. 14 4. Evaluate: - 6 + (- 5) A. 1 C. - 11 B. 11 D. - 1 5. Evaluate: 14 (- 17) A. - 3 C. 3 B. - 31 D. 31 6. In Finland the temperature was - 11 F in the morning, by noon the temperature had increased by 19 F; by 9:00 p.m. the temperature had dropped 4 F. What temperature was it at 9:00 p.m? A. - 34 C. - 26 B. 12 D. 4 7. Calculate this expression: 11 3 = A. - 33 C. - 14 B. 33 D. - 8 8. (- 2)(- 4)(12) = A. - 6 C. 96 B. 6 D. - 96 4
Q3:3 CALCULATOR 1. Simplify: 6x + 1 + (x + 2) A. 5x 1 C. 5x + 3 B. 5x 3 D. 5x + 1 2. Simplify: 3x + 2 7(x + 5) A. 4x 33 C. 10x 33 B. 4x + 37 D. 10x + 37 3. Simplify: 9x 2 3(x 8) A. 6x + 22 C. 12x + 22 B. 6x 26 D. 12x 26 4. Simplify: 4x + 6 2(x 4) A. 2x + 14 C. 6x + 14 B. 2x 2 D. 6x 2 5. Simplify: 2x 7 5(x 7) A. 3x + 28 C. 7x + 28 B. 3x + 42 D. 7x + 42 6. Simplify: 5x + 4 6(x 5) A. x + 34 C. 11x + 34 B. x + 26 D. 11x + 26 5
Q3:3 NO CALCULATOR 7. (- 2)(- 4)(12) = C. - 6 C. 96 D. 6 D. - 96 8. 8 ( 6 + 8) = A. 16 C. 6 B. - 6 D. - 16 9. Addison finds that the solution to a problem he has in his mathematics class is given by the expression: 4 7 + 2 6. What is the value of this expression? A. - 216 C. - 76 B. 216 D. 76 10. 18 3= A. 6 C. - 21 B. - 6 D. 21 11. Is 8 a factor of - 34? (Sometimes a factor is called a divisor). A. Yes B. No 12. What is the value of the expression below? - 16-8 A. - 24 C. 8 B. - 8 D. 24 6
Q3:4 CALCULATOR 1. Simplify: 6 5x + 4 2(5 2x) A. 34x + 14 C. 26x + 14 B. 34x + 34 D. 26x + 34 2. Simplify: g f 20x + 5 g (30 60x) i A. 14x 4 C. 6x 4 B. 14x + 6 D. 6x + 6 3. A rectangle has a width W. It s length is six more than 2 times it s width. Find the perimeter P of the rectangle. (Your answer will be expressed in terms of W.) A. P = 14W + 4 C. P = 6W + 12 B. P = 4W + 12 D. P = 3W + 6 4. Simplify: 4x + 2 + (x + 3) A. 5x + 5 C. 3x + 5 B. 5x + 1 D. 3x + 1 5. Simplify: 7x + 2 + 8(x 3) A. 15x 22 C. 15x + 26 B. 15x 26 D. 15x + 22 7
Q3:4 CALCULATOR 6. Johanna separated 36 index cards by color into four groups, as follows: 6 of the index cards were blue 25% of the index cards were green g of the index cards were yellow h g of the index cards were pink n Which color group contained the greatest number of cards? A. Blue C. Yellow B. Green D. Pink 7. The graph below shows the relationship between distance walked and number of calories burned. Based on the graph, which of the following is closest to the number of calories that are burned by walking 1.5 miles? A. 80 C. 160 B. 120 D. 240 8
Q3:5 CALCULATOR 1. Fatima is making a poster. The list below shows the numbers of different pencils, markers, and crayons she can use. 2 pencils 4 markers 4 crayons How many different combinations of 1 pencil, 1 marker, and 1 crayon can Fatima use to make her poster? A. 8 C. 24 B. 10 D. 32 2. Geri has a set of 9 cards numbered 1 through 9. The backs of the cards are blank. She puts the cards face- down so only the backs can be seen. Geri asks Simon to pick 1 card. Which of the following describes the probability that Simon will pick a card with an odd number? A. He is more likely to pick a card with an odd number than with an even number. B. He is equally likely to pick a card with an odd number or an even number. C. He is unlikely to pick a card with an odd number. D. He is certain to pick a card with an odd number. 3. A box of identically shaped light bulbs contains 11 red light bulbs, 13 blue light bulbs, 10 green light bulbs and 16 orange light bulbs. If one light bulb is chosen at random from the box, what is the probability that it will be green? A. g n C. g g B. g f D. g f 9
Q3:5 CALCULATOR 1. Quadrilateral ABCD is congruent to quadrilateral GHEF, as shown in the diagrams below. Which side of quadrilateral GHEF must be congruent to AB? Explain. 2. Yoshi is designing a monument that has a triangular base. He drew ΔJKR to represent the base of the monument, as shown in the diagram below. Based on the measurements in the diagram, what is the area, in square meters, of ΔJKR? Show your work. 10
Q3:6 CALCULATOR 3. The table below shows the one- day change in the prices of four different companies stocks on Tuesday. Stock Price Change on Tuesday Company Amount of Price Change in ($) A - 1.32 B +0.76 C - 0.83 D +1.25 Which company s stock price changed the most on Tuesday? A. Company A C. Company C B. Company B D. Company D 4. Amy used 2 g cans of chicken broth to make soup. Each can contained 7 g ounces of [ [ broth. What was the total number of ounces of chicken broth that Amy used? A. 10 ounces C. 18 ounces B. 14 g [ ounces D. 18 h n ounces 5. The number of different characters available for a computer game can be represented by 2 i. What is the total number of different characters available for the computer game? A. 12 C. 64 B. 36 D. 128 6. What is 150% of 48? A. 72 C. 7.2 B. 32 D. 3.2 11
Q3:6 CALCULATOR 1. Ali lives in a state where the sales tax rate is 6.5%. Which of the following decimal numbers is equivalent to 6.5 %? A. 0.0065 C. 0.65 B. 0.065 D. 6.5 2. The table below shows the numbers of vertices and edges for four types of prisms. Type of Prism Number of Number of Vertices (v) Edges (e) Triangular 6 9 Rectangular 8 12 Pentagonal 10 15 Hexagonal 12 18 Which of the following equations could be used to predict e, the number of edges of a prism with v vertices? A. e = [ h B. e = h [ C. e = v + 3 D. e = 2v 6 3. It took a ball 1 minute to roll 90 feet. What is the ball s average rate of speed, in feet per second? A. [ h feet per second C. 2 feet per second B. 1 g feet per second D. 3 feet per second [ 4. Martin correctly answered 90% of the questions on a math test that contained exactly 40 questions. How many of the questions did he answer incorrectly? A. 4 C. 44 B. 10 D. 90 12
Q3:7 NO CALCULATOR 1. Corazon used the number line model shown below to help her write a true number sentence. Which of the following could be Corazon s number sentence? A. - 4 + 2 = 6 C. 2 + 6 = - 4 B. - 4 + 6 = 2 D. 2 + (- 4) = 6 2. At 7:00 a.m., the temperature was - 6 F. The temperature was 8 F higher at noon. Which of the following expressions can be used to calculate the temperature at noon? A. - 6 + 8 C. 8 + 6 B. - 6 8 D. 8 (- 6) 3. What is the value of the expression below? (2+5) 2 A. 14 C 29 B. 27 D. 49 4. Which of the following has the greatest value? A. 10 C. - 14 B. 12 D. - 8 13
Q3:7 CALCULATOR 5. Charlie bought some packages of pens. He bought one package containing 5 pens and n packages containing 2 pens each. Which of the following expressions could be used to find the total number of pens Charlie bought? A. 7n C. 5n + 2 B. 10n D. 2n + 5 6. Janice rented a moving van for one day at a rate of $30 per day plus $0.25 per mile. Which of the following equations can be she use to calculate c, the cost, in dollars of renting the van for one day and driving it m miles? A. c = 55m C. c = 30 + 0.25m B. c = 30.25m D. c = 0.25 + 30m 7. An automobile repair shop takes approximately 0.4 hour to change the oil in a car. What is the total number of minutes in 0.4 hour? A. 40 minutes C. 24 minutes B. 35 minutes D. 15 minutes 8. Which of the following is represented by the expression 5x + 2 A. two more than g of a number f B. two more than five times a number C. five more than g of a number [ D. five more than twice a number 9. What is the value of the expression (2 + 5) 2 A. 14 C. 29 B. 27 D. 49 14
Q3:8 CALCULATOR 1. An electronics store is offering a discount of $35 off the original price of a television. This discount is equal to 5% of the original price. What is the original price? A. $70 C. $700 B. $175 D. $1750 2. Mr. Leto plans to save money to buy a carpet. If he saves $50 each week for 30 weeks, he will have saved the exact amount of money needed to buy the carpet. If Mr. Leto instead saves $75 each week, how many weeks will it take him to save the same amount of money? A. 15 C. 40 B. 20 D. 45 3. The line plot below shows the cost, in dollars, of each item sold at a bake sale. What fraction of the items sold cost $5 or less? A. g h C. [ h B. g [ D. h n 15
Q3:8 CALCULATOR 4. Simplify: 6x 2 + 4(x + 7) A. 2x + 26 C. 10x + 26 B. 2x + 30 D. 10x + 30 5. Simplify: 5x + 9 + 6(x 8) A. x 39 C. 11x 39 B. x 57 D. 11x 57 6. Simplify: x + 9 4(x 3) A. 5x + 21 C. 3x + 21 B. 5x 3 D. 3x 3 7. Simplify: 7x + 2 6(x 9) A. 13x + 56 C. x + 56 B. 13x 52 D. x 52 8. Simplify: 7 7x + 5 + 9(2x + 6) A. 67x + 89 C. 31x + 89 B. 67x + 19 D. 31x + 19 9. Simplify: 4 3x 8 + 6(8x + 5) A. 60x 2 C. 60x 62 B. 60x + 62 D. 60x + 2 16
Q3:9 CALCULATOR 3. The top of an office desk is in the shape of a semicircle, as shown in the figure below. Based on the dimension given in the figure, which of the following is closest to the area of the top of the office desk? (Use π = 3.14) A. 9.42 square feet C. 18.84 square feet B. 14.13 square feet D. 56.52 square feet 4. Two of the actual dimensions of Dwight s house are a length of 63 feet and a width of 35 feet. Dwight made a scale drawing of his house. The length of the house in Dwight s drawing is 9 inches. What is the width of the house in Dwight s drawing? A. 2 inches C. 5 inches B. 4 inches D. 7 inches 5. The diagram below shows three intersecting lines. Based on the measurements in the diagram, what is x? A. 65 C. 100 B. 80 D. 115 6. Which of the following figures does not have a rectangular cross section? A. right circular cylinder C. right square pyramid B. right triangular prism D. right circular cone 17
Q3:9 CALCULATOR 7. The graph shows the time taken for a pendulum to swing backwards and forwards 20 times for different lengths of string. The length of a string is 90 cm. About how long would it take for the pendulum to swing backwards and forwards 20 times? A. 35 seconds C. 42 seconds B. 38 seconds D. 45 seconds 8. A certain company keeps a list of 50 employees and their annual salaries. When the salary of the very highly paid president is added to this list, which of the following statistics is most likely to be approximately the same or nearly the same for the original list and the new list? A. The range C. The median B. The mean D. The standard deviation 9. If the range of a set of data is 110 and the lowest number in the data set is 98, what is the greatest number of that data set? A. 104 C. 198 B. 110 D. 208 10. The average weight of 50 prize- winning tomatoes is 2.36 pounds. What is the combined weight, in pounds, of these 50 tomatoes? A. 52.36 C. 59 B. 11.8 D. 118 18