8th Grade Coach post-test part II

Presented By:Mr. Heiser

1. What is the positive square root of 100?

A. 10B. 25C. 50D. 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?

A. Write and solve a system of equations.

B. Write and solve an inequality.C. Write and solve a system of

inequalities.D. Switch the variables and solve each

equation.

3. What is the best whole-number ESTIMATE of the square root of 62?

A. 6B. 7C. 8D. 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?

A. 30 degreesB. 40 degreesC. 50 degreesD. 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?

A. 60B. 600C. 6,000D. 60,000

6. Which fact can help prove that the acute angles of a right triangle are complementary?

A. The sum of all angle measures in any triangle is 180 degrees.

B. The acute angles of any right triangle are congruent.

C. The sum of all the angle measures in any triangle is 90 degrees.

D. Two angles whose angle measures total 180 degrees are complementary.

7. The variables m and n are related in the following formula:

m + 48 = n 6

If m = 24, what is the value of n?

A. 6B. 8C. 10D. 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?

A. 5/24B. 1/3C. 5/12D. 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?

A. No; Jeff should change m – 2 to m – 1.B. No; Jeff should switch the positions of

10 and 5.C. No; Jeff should change 10 to 10m.D. Jeff’s equation is accurate.

10. Find the product in simplest form.

(√12) (√18)

A. √6B. 6√6C. 13√6D. 36√6

11. Which of the following numbers for n makes the following equation true?

4 (n + 3) + 7n = 34

A. -2B. 0C. 2D. 4

12. If R = { 13,15,17,19 } and S = { 14,16,18,20 }, what is the

union of sets R and S ?

A. Null setB. { 13, 14, 15, 16, 17, 19, 20 }C. { 13, 14, 15, 16, 17, 18, 19, 20 }D. { 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?

A. 30 yd.B. 90 yd.C. 450 yd.D. 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?

A. 5c – 2B. 2c – 5C. 2 (c – 5)D. 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 ?

A. n + 250 + 4,500 = 22,500B. 250 (n + 4,500) = 22,500C. 250n + 4,500 = 22,500D. 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?)

A. 6B. 7C. 8D. 9

17. Which of the following is NOT a subset of {37, 39, 41, 43, 45, 47, 49} ?

A. { odd numbers from 39 to 47 }B. {49}C. {37, 41, 45, 47}D. {41, 42, 43}

18. What is the intersection of {6, 12, 18, 24, 30, 36} and {16, 28, 32, 40, 48}?

A. {30}B. {6, 12, 16, 18, 24, 28, 30, 32, 36, 48}C. Empty set.D. {24, 32, 40, 48}

19. What is the solution of this system of equations?

2x + y = 5 y – x = -1

A. (1,2)B. (2,1)C. (-1,2)D. (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?

A. 16.9 inchesB. 17.3 inchesC. 17.7 inchesD. 17.9 inches