Class: Date: Math Practice Final Exam #1 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine the value of 0.64. a. 0.8 b. 0.08 0.4 d. 0.1 2. Which fraction is a perfect square? i) 40 ii) 0 12 iii) 0 iv) a. i b. ii iii d. iv. A square has an area of 28.8 cm 2. Determine the side length of the square, to the nearest millimetre. a. 5. cm b. 5 cm 5. cm d. 5.4 cm 4. Write ( 4) ( 4) ( 4) ( 4) ( 4) ( 4) as a power. a. ( 4) 6 b. ( 4) 6 ( 4) 5 d. 6 ( 4) 5. Write 5 as repeated multiplication. a. + + + + b. 5 d. 6. Evaluate: 4 8 a. 65 56 b. 2 2 d. 65 56. Evaluate: ( 11) 0 a. 0 b. 1 1 d. 11 8. Evaluate: ( 4 6) 2 a. 56 b. 4 56 d. 48. Evaluate: 4 ( 5) a. 2 b. 18 61 d.. Write the product of ( ) 5 ( ) 2 as a single power. a. ( ) b. 4 ( ) d. ( 14)
11. Express 5 6 as a single power. a. 6 b. 18 2 d. 2 12. Which is the correct value of 4 2 + 5 5? i) 42 ii) 26 iii) 8 iv) 2 a. iii b. ii iv d. i Ê 1. Write 4 ˆ 5 Á as a power. a. b. 20 d. 20 14. Which expressions have positive values? È i) ( 5 ) 2 ÎÍ È ii) ( 5) 2 ÎÍ Ê iii) 5 2 ˆ Á È iv) ( 5) 2 ÎÍ a. ii and iii b. i and iv ii and iv d. i and ii 15. Which rational number is represented by the letter A on the number line? a. 1 6 1 b. 0.1 d. 0.2 16. Identify the greatest rational number. 5 8, 2, 4, 12 a. 5 8 b. 12 2 d. 4 1. Determine this sum. 14 + Ê 15 ˆ Á 14 1 a. b. 1 14 1 d. 1 14 2
18. Determine this difference. 8 5 Ê 11 ˆ Á 2 a. b. 2 1 2 d. 1 2 1. Determine this product. ( 6) a. 18 b. d. 18 20. Determine this quotient. 5 Ê ˆ Á 2 a. 21 b. 21 15 14 d. 14 15 21. Evaluate. 5 6 4 4 5 + 5 6 16 a. 15 b. 1 60 d. 22. Evaluate. 6 4 2 + 5 a. 21 b. 18 25 d. 8 1 2. In the equation P = 6n + 5, determine the value of P when n =. a. 5 b. 84 20 d. 5 24. This pattern of unit squares continues. Which equation below relates the number of squares, n, to the figure number, f? i) n = f + 4 ii) n = f + 1 iii) f = n + 1 iv) f = 4 + n a. i b. ii iii d. iv
25. Which graphs represent a linear relation? a. Q and R Q and S b. P and R d. Q, R, and S 26. Complete the table of values. y = 5x a. b. d. 4
2. Which line is the graph of x + 2 = 0? a. Line R b. Line Q Line P d. Line S 28. Which equation describes a horizontal line? i) x + = 4 ii) y + x = iii) y x = 0 iv) y + 4 = a. i b. ii iii d. iv 2. Which equation describes the graph? i) x + y = 6 ii) x y = 6 iii) y x = 6 iv) x + y = 6 a. i b. ii iii d. iv 5
0. This graph represents a linear relation. Determine the value of y when x = 1. a..5 b. 6 2.5 d. 1. A car travels at a constant speed. The graph shows how the distance of the car changes with time. Estimate the time it takes to travel 60 km. a. 11 h b. 1 h 1 h d. 12 h 2. How many terms are in the polynomial 12x 2 + 6x 1? a. b. 12 1 d. 1. Name the coefficients of the variable in the polynomial 4x 2 + x 12. a. 4 b. 4, 4, d. 4, 12 6
4. Identify the polynomial that is equivalent to 4 5v 6v 2. i) 6v 2 + 5v 4 ii) 4 + 6v 2 5v iii) 6v 2 5v + 4 iv) 6v 2 4 + 5v a. iv b. i ii d. iii 5. Simplify: 8x + 4 6 + x a. 11x + 2 b. 12x x d. 11x 2 6. Write the perimeter of this triangle as a polynomial in simplest form. a. 15x 24 b. 15x + 24 15x 4 d. 15x + 4. Add: (x 2 6x + ) + ( x 2 x ) a. 2x 2 + x b. 2x 2 x 2x 2 x + 1 d. 2x 2 x 8. Subtract: (2x x 2 + 1) (x 2 6 + 5x) a. x 2 x + x 2 + x b. x 2 x 5 d. x 2 + x. Multiply: 6(2x 2 4x) a. 8x 2 2x b. 12x 2 24x 12x 2 + 2x d. 12x 2 4x 40. Divide: 20w2 16w + 12 4 a. 5w 2 16w + 12 16w 2 12w + 8 b. 5w 2 4w + d. 16w 2 16w + 12 41. Divide: 12x2 x 2 a. x b. 4x d. 4 42. Multiply: 6c(c 5) a. 18c 2 0c b. 18c 2 + 0c c 2 + 11 d. 18c 2 5 4. Solve: 4x + 2.4 = 6.8 a. 1.1 b. 0. 6.2 d. 0.4
44. Solve: x 8 2 = 5 a. 42 b. 56 1 d. 21 45. Solve: (x + 4) = 12 a. 0 b. 46. Solve: (q 2) = 2(2q + 5) 8 d. 5 a. q = 5 16 b. q = 1 5 q = 5 16 d. q = 1 5 4. A number times 5, minus, is 8. Write an equation to determine the number. a. 5 x = 8 b. 5x = 8 5x = 8 d. x 5 = 8 48. Solve: 1 2x = 5x 8 a. x = b. x = x = 1 d. x = 1 4. Solve: 1.b + 2.4 =. 1.2b a. b = b. b = 0. b = d. b = 0. 50. Solve: x 4 + 11 2 = 4 a. x = 15 b. x = 4 x = 8 d. x = 60 51. Use a symbol to write an inequality that corresponds to this statement: x is less than or equal to a. x < b. x x > d. x 52. Which of these graphs is a solution of c > 1? i) ii) iii) iv) a. Graph i b. Graph ii Graph iii d. Graph iv 8
5. Which of these graphs represent the solution of the inequality q 2 2? i) ii) iii) iv) a. Graph i b. Graph ii Graph iii d. Graph iv 54. Solve:.1 y 1.2 a. y 1. b. y 4. y 1. d. y 4. 55. Solve: 14 t > 2 a. t > 4 b. t < 4 t < 4 d. t > 4 56. An equipment rental company charges a flat rate of $25, plus $16 per day for insurance. Kyle has $158. Write an inequality to represent the number of days, d, for which he can rent equipment. a. 25 + 16d 158 25 + 16d < 158 b. 25 + 16d > 158 d. 25 + 16d 158