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6th Math Practice STAAR Spring 2016 1. Student Name:_____________________________ Which list shows the numbers listed below in order from least to greatest? (6.2D) −𝟔 𝟏 𝟐 𝟒𝟔 𝟕 𝟕. 𝟐𝟓 1 1 A. −6 2 , −5.58, 6 4 , 1 B. −5.58, 6 4 , 1 46 7 46 7 𝟏 𝟒 − 𝟓. 𝟓𝟖 , 7.25 3. Which of the following number lines is labeled correctly? (6.2C) A. 1 , −6 2 , 7.25 1 C. −6 2 , 6 4 , −5.58, 1 𝟔 Math Teacher:___________________Period:___ 1 D. −5.58, −6 2 , 6 4 , 46 7 46 7 B. , 7.25 , 7.25 C. D. 2. A store manager analyzed the change in sales of various products from last month to this month. The percent increases and decreases in sales are shown in the table. (6.2D) 4. (6.2A) Three sets of numbers are shown in the Venn diagram. These values will be ordered from greatest to least. Which list of the products matches this order? A. Pants, shirts, watches, shoes, ties B. Ties, shoes, watches, shirts, pants Which of these numbers can be placed in the shaded area of the diagram? C. Watches, shirts, pants, shoes, ties D. Ties, shoes, pants, shirts, watches 1 A. −5 C. B. 3.5 D. Not here 2 5. Which set shows equivalent fractions, decimals and percents? (6.4G) A. B. 6. 1 4 2 5 , 25%, 0.14 C. , 40%, 0.04 D. 3 2 , 66 3 %, 0. 6̅ 1 10 coat is discounted 40% off its regular price. Which value is equivalent to 40%? 1 25 B. 0.004 (6.7A) A. B. C. D. , 10%, 0.01 (6.4G) A A. 7. 2 10. (6.7D) Which expression is equivalent to 3(𝑥 + 6)? 11. (6.7D) Which of the following expressions is equivalent to 3𝑑 ∙ (6 ∙ 7)? I. (6 ∙ 7) ∙ 3𝑑 II. 3𝑑(6) + 3𝑑(7) III. (3𝑑 ∙ 6) ∙ 7 C. 40 D. 2 5 3+𝑥+3+6 3𝑥 + 6 3+𝑥+6 3x+18 A. B. C. D. I only II only I and III only II and III only What is the value of the expression below? (−𝟖 + 𝟑)𝟐 + 𝟏𝟎 ∙ (−𝟒) Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. 12. (6.7C) Look at the model. Which of the following statements of equality is true? A. 3(𝑥 + 2) = 3𝑥 + 5 B. 3𝑥 + 26 = 2(3 + 2𝑥) 8. (6.7A) What value is equivalent to 3 − 23 ∙ (5 − 2) − 60? 4 A. B. C. D. 9. −3 −66 159 −21 C. 3(2 + 𝑥) = 6 + 3𝑥 D. 6(2 + 2𝑥) = 12 + 2𝑥 13. (6.4E) The Stinson family noticed a 10% decrease in their monthly water bill. What decimal number represents this percent? Mr. Morrison asked the class to generate an expression equivalent to 80. Lucy used the prime factorization of 80 to form an equivalent expression. Which best represents the prime factorization that Lucy wrote? (6.7A) A. 8 ∙ 10 C. 4 ∙ 20 B. 24 ∙ 5 D. 2 ∙ 5 ∙ 8 Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. 14. If the shaded region of the model below represents the part of a book that Katie is reading, what fraction of the book does Katie have left to read? (6.4F) 18. Rebecca bought 1.5 pounds of grapes and paid $3.72. What was the cost per pound of grapes? (6.3E) A. B. C. D. A. 3 10 B. 2 5 C. 3 5 D. $5.58 $2.48 $2.22 Not here 7 10 19. (6.4B) Mabel needs to buy backpacks for 6 children. She called 4 stores and recorded their prices in the table below. 15. (6.3D) Ella played a math game and had the five cards shown. Backpack Prices Store A B C D Her score was the sum of the numbers on these five cards. What was Ella’s score? A. 3 B. 23 C. -5 Price 6 for $119.70 3 for $60.75 2 for $39.50 $21.99 each Mabel wants to go to the store where she will save the most money. Which store should Mabel go to buy the backpacks? D. Not here A. Store A, because she needs 6 backpacks 16. (6.3D) Which of the following expressions is equivalent to −8. I. −32 ÷ (−4) II. −3 − (−11) III. (2)(−4) IV. −14 + 6 A. B. C. D. I and II only III and IV only II, III, and IV only I, II, III, and IV B. Store B, because each backpack costs $20.25 C. Store C, because the unit cost for each back pack is the least expensive D. Store D, because one backpack costs $21.99 20. (6.4B) After restocking the vending machine, James determined that 2 out of every 5 packages of candy sold were M&M’s. The vending machine sold 160 packages of candy last week. How many packages of M&M’s were sold? 2 160 A. 400, because 5 = 400 17. A grocery store sells steak for $6.10 per 3 pound. What would be the cost of 25 lb of steak? (6.3E) A. $14.03 B. $8.70 C. $15.86 D. $12.06 B. 16, because 160 ÷ (5 × 2) = 16 2 64 C. 64, because 5 = 160 D. 34, because 160 5 + 2 = 34 21. Forty children from an after-school club went to the matinee. This is 25% of the children in the club. How many children are in the club? (6.5B) A. B. C. D. 10 160 200 900 A. B. C. D. 22. (6.5B) The last time Brea played softball, she hit the ball 35% of the times she was at bat. Based on this information, how many times will Brea hit the ball the next time she plays softball if she is at bat 20 times? A. B. C. D. 24. (6.6C) A firefighter uses equipment that weighs 60 pounds. The firefighter weighs x pounds. Which equation can be used to find t, the total weight of both the firefighter and his equipment in pounds? 4 7 15 6 23. (6.6C) A pizza chef at a restaurant uses the same amount of tomato sauce to make each pizza. The table below shows the relationship between the number of pizzas made, n, and the number of gallons of tomato sauce used, g. Based on the information in the table, which equation can be used to find g, the number of gallons of tomato sauce needed to make n pizzas? 𝑛 A. 𝑔 = 16𝑛 C. 𝑔 = 16 B. 𝑔 = 𝑛 − 75 D. 𝑔 = 𝑛 + 32 25. 𝑡 𝑡 𝑡 𝑡 = 60𝑥 = 𝑥 + 60 = 60 − 𝑥 = 𝑥 − 60 The total number of washcloths, y, contained in x packages can be represented by the equation 𝑦 = 8𝑥. Which of the following graphs best represents this situation? (6.6C) A. C. B. D. 26. (6.10A) Mr. Sims received $3.36 in change from his grocery purchase. If the total amount of his purchase was $56.64, which equation and solution best represent x, the amount of money Mr. Sims gave the cashier? A. B. C. D. 𝑥 − 56.64 = 3.36, 𝑥 + 3.36 = 56.64, 56.64 − 𝑥 = 3.36, 𝑥 + 56.64 = 3.36, 𝑥 𝑥 𝑥 𝑥 = 60 = 53.28 = 60 = 60 27. (6.10A) What value of x will be the solution to the equation modeled below? 31. (6.9C) Which situation is best represented by the equation below? 𝑐 ∙ 3 = 2.1 A. Gavin gave the cashier $3 when the total was $2.10. Find c, the amount of change Gavin received. A. 3 28. B. 4 (6.10B) C. 16 D. 60 B. Carley bought 3 packs of gum that each cost the same. The total was $2.10. Find c, the cost of each pack of gum. Which inequality is true when 𝑥 = 4? C. Peggy made 2.1 pounds of fudge for each of her 3 nephews. Find c, the total number of pounds of fudge Peggy made. A. −25𝑥 > 100 B. −25𝑥 ≥ 100 C. 25𝑥 < 100 D. 25𝑥 ≤ 100 29. (6.9B) Aiko is selling books for $12 each. She wants to make more than $180 in book sales. The inequality 12𝑏 > 180 can be used to determine the number of books, b, she must sell in order to meet her goal. Which number line best represents the solution to the inequality? D. Chris must give a speech that is no longer than 3 minutes. He spoke for 2.1 minutes. Find c, the number of minutes Chris has left. 32. (6.4A) Which of the following does NOT show an additive relationship? A. 𝑦 = 𝑥 + 8 B. C. Amy is three years older than Sam. 30. (6.9A) Maleek’s basketball team scored 108 points. Maleek scored 37 points. The rest of his teammates scored a total of s points, which equation could be used to determine the points earned by Maleek’s teammates? 108 A. 37 = 𝑠 B. 37𝑠 = 108 C. 𝑠 − 37 = 108 D. 37 + 𝑠 = 108 D. 33. (6.6B) David is buying a corsage for his date. The relationship between the cost of a corsage and the number of flowers in the corsage is shown below. 1 35. (6.4H) Gretta is 12 meters tall. Which of the 1 following is equivalent to 12 meters? A. B. C. D. 36. Which equation correctly represents the relationship between the independent and dependent quantities? A. B. C. D. 34. 150 millimeters 1,500 millimeters 100 millimeters 1,000 millimeters (6.4H) An adult human body contains about 10 pints of blood. How many fluid ounces is the equivalent to 10 pints? 𝐶 = 3.5𝑓 𝐶 =𝑓−5 𝐶 =𝑓+5 Not Here (.6.6A) The graph shows the cost of single-dip ice cream sundaes at Braum’s. Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. 37. (6.8D) An engineer wants to construct a rectangular sandbox for the students at an elementary school. Which statement about the quantities in the graph is true? A. The number of sundaes and the cost are both independent quantities. B. The number of sundaes and the cost are both dependent quantities. C. The number of sundaes is the dependent quantity, and the cost is the independent quantity. D. The number of sundaes is the independent quantity, and the cost is the dependent quantity. The sandbox will be filled with sand to complete construction. If each bag of sand contains 6 cubic feet of sand, how many bags will be needed to completely fill the sandbox? A. B. C. D. 5 bags 30 bags 10 bags 60 bags 38. (6.8D) Mia is covering shapes with wrapping paper to make a design for the school carnival. How much paper, in square centimeters, will Mia need to cover the figure shown below? A. B. C. D. 19 cm² 22 cm² 12.5 cm² 8.5 cm² 40. (6.8A) Study the triangle below. Which statement about ΔABC is not true? ̅̅̅̅ is longest side because it is opposite the A. 𝐵𝐶 largest angle. B. ΔABC is an obtuse scalene triangle. ̅̅̅̅ is the shortest side because it is opposite C. 𝐴𝐵 the smallest angle. D. ∠B measures 95° because the sume of the angles in a triangle is 180°. 39. (6.8C) Josie needs to find the area of the quadrilateral shown below. 41. (6.11A) The route that Verlonda takes from her house to a store is represented on the grid below. Which equation could Josie use to find A, the area of the quadrilateral? A. 𝐴 = (20 ∙ 2)(8) 1 B. 𝐴 = 2 (12.4 + 20.2)(9.3) 1 1 C. 𝐴 = 2 (20.2) + 2 (12.4) 1 D. 𝐴 = 2 (20.2 + 12.4)(8) Which ordered pair represents a point on Verlonda’s route? A. (0, −3) B. (−3, 6) C. (3, 4) D. (3, 8) 42. The coordinate grid shows points J, K, L, and M. (6.11A) 44. (6.12C) The list below shows the number of rides at nine different rodeos. 28 7 13 7 8 12 22 14 6 What is the median number of rides at these rodeos? A. 8 45. B. 22 C. 7 D. 12 The distance in miles that some students live from school is shown in the histogram. (6.12C) Which point best represents the ordered 1 pair (−2 2 , 3)? A. B. C. D. Point J Point K Point L Point M 43. (6.14H) The table shows the average annual salary in dollars based on the minimum level of education required for two occupations. Occupations Occupation Average Annual Salary (dollars) Accountant 71,040 Tax Preparer 41,700 Level of Education Required Bachelor’s Degree High School Diploma Based on the average annual salaries in the table, how much more would an accountant earn than a tax preparer over a 30 – year career? A. B. C. D. $112,740 $3,382,200 $880,200 $1,251,000 Which statement about the data in the histogram is true? A. The distribution of the data is asymmetrical, so the mean and the median are likely outside the “2.1 – 3 mile” category. B. The distribution of data is asymmetrical, so the mean and the median are likely within the “2.1 – 3 mile” category. C. The distribution of the data is symmetrical, so the mean and the median are likely outside the “2.1 – 3 mile” category. D. The distribution of the data is symmetrical, so the mean and the median are likely within the “2.1 – 3 mile” category. 46. Ginger records her grades for each assignment in science. (6.12A) 47. (6.13A) The graph below shows the number of garbage cans that were emptied in five neighborhoods. Which graphical display correctly represents Ginger’s science grades? A. Which statement is best supported by the information in the graph? A. A total of 500 garbage cans were emptied in these 5 neighborhoods. B. C. B. The combined number of garbage cans emptied in Neighborhood M and N is 50 more than the number of garbage cans emptied in Neighborhood P. C. The difference between the greatest number of garbage cans emptied and the least number of garbage cans emptied is 110. D. The combined number of garbage cans emptied in Neighborhood P and Neighborhood Q is 375 more than the number of garbage cans emptied in Neighborhood R. D. 48. (6.13A) The histogram shows the total number of swimmers in different age groups who participated in a swimming competition. Based on the histogram, which statement is true? A. There were 15 swimmers who were younger than 30 years old. B. A total of 10 swimmers were 50 years old or older. C. The number of swimmers who were 40 years old or older is less than the number of swimmers who were 29 years old or younger. D. A total of 70 swimmers participated in the competition. 49. (6.12D) The farmers’ market conducts a survey to determine the favorite local produce. The results are shown in the graph below. Which statement is true about the distribution of the data? A. Tomatoes and onions were selected as the favorite produce by over half of the people surveyed. B. Tomatoes represent the mode for the data. C. Peas were selected as the favorite produce by half of the people surveyed. D. Cucumbers were selected by 15% of the people surveyed. 50. (6.12D) As a part of a survey, a group of people were asked to name their preferred method of viewing television shows. Their responses are shown in the table. Which percentage bar graph best represents the data? 51. (6.14C) The check register show the transactions in Ms. Garcia’s new checking account. She opened the account on October 3. Based on the information in the check register, what is the balance in Ms. Garcia’s check register after the ATM transaction on October 11? A. $5,105 B. $2,095 C. $3,600 D. $1,505