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8 th Grade Coach post-test part II. Presented By: Mr. Heiser. 1. What is the positive square root of 100?. 10 25 50 10,000.
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8th Grade Coach post-test part II Presented By: Mr. Heiser
1. What is the positive square root of 100? • 10 • 25 • 50 • 10,000
2. Dianna has $5 bills and $10 bills in her wallet. She has a total of 12 bills. The total value of the bills is $75. How could you find the number of $5 bills and $10 bills in Dianna’s wallet? • Write and solve a system of equations. • Write and solve an inequality. • Write and solve a system of inequalities. • Switch the variables and solve each equation.
3. What is the best whole-number ESTIMATE of the square root of 62? • 6 • 7 • 8 • 9
4. One of the acute angles of a right triangle has twice the measure of the other acute angle. What is the measure of the larger acute angle in the right triangle? • 30 degrees • 40 degrees • 50 degrees • 60 degrees
5. A company that makes televisions has fixed weekly expenses of $45,000 plus $95 for each television made. If the company’s total expenses for one week came to $102,000, how many televisions did the company make that week? • 60 • 600 • 6,000 • 60,000
6. Which fact can help prove that the acute angles of a right triangle are complementary? • The sum of all angle measures in any triangle is 180 degrees. • The acute angles of any right triangle are congruent. • The sum of all the angle measures in any triangle is 90 degrees. • Two angles whose angle measures total 180 degrees are complementary.
7. The variables m and n are related in the following formula:m + 48 = n6If m = 24, what is the value of n? • 6 • 8 • 10 • 12
8. If Nora rolls a number cube with faces numbered 1 through 6 and spins a spinner with 8 equal sections labeled A through H, what is the probability that the number cube will show a number greater than 1 and the spinner will land on a vowel? • 5/24 • 1/3 • 5/12 • 1/2
9. Jeff wrote the equation C = 10 + 5(m - 2) for this situation:The cost C of a cab ride is 10 dollars for the first mile and 5 dollars for each additional mile. Is Jeff’s equation accurate? If not, why? • No; Jeff should change m – 2 to m – 1. • No; Jeff should switch the positions of 10 and 5. • No; Jeff should change 10 to 10m. • Jeff’s equation is accurate.
10. Find the product in simplest form. (√12) (√18) • √6 • 6√6 • 13√6 • 36√6
11. Which of the following numbers for n makes the following equation true? 4 (n + 3) + 7n = 34 • -2 • 0 • 2 • 4
12. If R = { 13,15,17,19 } andS = { 14,16,18,20 }, what is the union of sets R and S ? • Null set • { 13, 14, 15, 16, 17, 19, 20 } • { 13, 14, 15, 16, 17, 18, 19, 20 } • { 14, 16, 18, 20, 22, 24, 26, 28 }
13. A square lot has an area of 900 square yards. How long is each side of the lot? • 30 yd. • 90 yd. • 450 yd. • 225 yd.
14. Nathan has 5 fewer than twice the number of sports cards as Gene has. If c represents the number of sports cards Gene has, which expression represents the number of sports cards Nathan has? • 5c – 2 • 2c – 5 • 2 (c – 5) • 5(2c)
15. Lydia is buying a car that has a total cost of $22,500. She made a down payment of $4,500 and will pay for the rest in equal monthly payments of $250. If n represents the number of monthly payments, which equation can be used to find n ? • n + 250 + 4,500 = 22,500 • 250 (n + 4,500) = 22,500 • 250n + 4,500 = 22,500 • 250n – 4,500 = 22,500
16. If this sequence were graphed as a linear function, what would be the slope of the line? 7, 15, 23, 31, 39, 47, …(what’s the common difference?) • 6 • 7 • 8 • 9
17. Which of the following is NOT a subset of {37, 39, 41, 43, 45, 47, 49} ? • { odd numbers from 39 to 47 } • {49} • {37, 41, 45, 47} • {41, 42, 43}
18. What is the intersection of {6, 12, 18, 24, 30, 36} and {16, 28, 32, 40, 48}? • {30} • {6, 12, 16, 18, 24, 28, 30, 32, 36, 48} • Empty set. • {24, 32, 40, 48}
19. What is the solution of this system of equations?2x + y = 5y – x = -1 • (1,2) • (2,1) • (-1,2) • (2,-1)
20. A square has an area of 300 square inches. What is the length, to the nearest tenth of an inch, of a side of the square? • 16.9 inches • 17.3 inches • 17.7 inches • 17.9 inches