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Worksheet F KMA 8th Grade: KANSAS MATH ASSESSMENT prep Name__________________ For the following questions you do not need to restate the questions, but you do need to show your work on all that work is possible for (be certain to indicate how you knew the answer). 1. (3.1.a1) 2 points. Consider the following statement: about n? EXPLAIN a. n is > 3.5, but less than 5 b. n is > 1.5 n : 1.5 = 3.5 : 5.0 What must be true c. n is > 5.0 d. n is < 1.5, but greater than 0 2. (1.4.a1) 2 points. Min wants to buy a portable CD player. She did some comparison shopping among four stores. She found the following price information on the CD players. If she wants to get the best price, at which store should she purchase the CD? EXPLAIN Store Shop More Tune Shop Save Mart Great Gains Price 30% off of $75 10% off of $60 1/5 off of $50 $45 3. (2.2.a1) 1 point. Emmanuel purchased pizza for a party. She bought 4 small pizzas at the same price and 2 large pizzas for $13.59 each. The bill was $67.02. Which equation describes the amount of money Emmanuel spent if x represents the cost of the small pizzas? a. 4x – 13.59 = 67.02 b. 4x + 13.59 = 67.02 c. 4x + 2(13.59) = 67.02 d. 4x – 2(13.59) = 67.02 4. (3.1.k6) 2 points. A wooden box measures 2 ft by 3 ft by 4 ft. What is the longest straight pole, like that pictured from point X to point Y, that you can have inside the box? (Hint: find the length of YZ first) Round only the final answer to the nearest tenth. SHOW WORK X Z Y 5. (1.1.k5) 2 points. When any positive number is divided by ¼, the quotient will always be … SHOW PROOF a. less than 4 b. greater than 4 c. less than the positive number d. greater than the positive number 6. (2.2.k3) 2 points. What is the value of n in the equation a. n = 4 b. n = -12 c. n = -4 d. n = 9/4 3 n + 5 = 2 ? SHOW WORK 4 7. (1.2.k2) 4 points. Name a number that is a rational number but not an integer. Name a number that is both a whole number and an integer. Name a number that is an irrational number (can’t use π ). Name a number that is an integer but not a whole number. 8. (1.4.k2) 2 points. Using the following string of 5 numbers, insert one addition symbol, one subtraction symbol, one multiplication symbol, one division symbol, and one set of parenthesis so that the value of the expression is equal to 12. SHOW PROOF. 5 3 2 2 10 9. (3.1.a1) 1 point. “A tree casts a shadow of 26 feet, while a 5-foot post nearby casts a shadow of 2 feet. Find the height of the missing tree.” Leonard wrote all of the following proportions in an attempt to find the missing height from the problem above. Which of the following proportions will not give him the correct answer? a. 26 5 = h 2 b. 26 2 = h 5 c. h 26 = 5 2 d. 5 2 = h 26 10. (1.2.a1) 1 point. Sally worked 80 hours in one week and earns time and a half overtime pay for all hours over 40 during the week. Sally’s gets paid $12.00 per hour for each of the first 40 hours during a week. Sally wrote the following expression to calculate her total pay for that week. (40 x 12) + (40 x 18) Which expression can also be used to calculate her total pay? a. 2 x 40 + 12 + 18 b. 402 + 12(18) c. 40(12 + 18) d. none are correct 11. (2.3.a3) 1 point. Hanna received $ 60 from her grandparents for her birthday to purchase jeans and shirts. Jeans will cost $ 20 and shirts $ 12. Hanna made the graph below to show the amount of money she could spend on each item. Which equation represents the graph Hanna drew? a. y = 5 + 5 x 3 c. y = 20x + 12y 5 x=y 3 5 d. y = - x + 5 3 b. -5 + pix 12. (3.4.k1) 2 points. Which point is not a solution of the equation y = 5x -8 ? a. (0,-8) b. (-3,-23) c. (4,12) d. (8,-10) 13. (4.1.a4) 2 points. Raoul is using a spinner with 10 congruent sections numbered 1 through 10. What is the theoretical probability (written as a percent) that on the next spin the arrow will stop on an even number less than 10?