Math 9 Practice Final Exam #1

Transcription

1 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 a. 0.8 b d 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 b. 2 2 d Evaluate: ( 11) 0 a. 0 b. 1 1 d Evaluate: ( 4 6) 2 a. 56 b d. 48. Evaluate: 4 ( 5) a. 2 b d.. Write the product of ( ) 5 ( ) 2 as a single power. a. ( ) b. 4 ( ) d. ( 14)

2 11. Express 5 6 as a single power. a. 6 b d Which is the correct value of ? 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 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 b. 0.1 d Identify the greatest rational number. 5 8, 2, 4, 12 a. 5 8 b d Determine this sum Ê 15 ˆ Á 14 1 a. b d

3 18. Determine this difference. 8 5 Ê 11 ˆ Á 2 a. b d Determine this product. ( 6) a. 18 b. d Determine this quotient. 5 Ê ˆ Á 2 a. 21 b d Evaluate a. 15 b d. 22. Evaluate a. 21 b d In the equation P = 6n + 5, determine the value of P when n =. a. 5 b d 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

4 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

5 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

6 0. This graph represents a linear relation. Determine the value of y when x = 1. a..5 b 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 d. 1. Name the coefficients of the variable in the polynomial 4x 2 + x 12. a. 4 b. 4, 4, d. 4, 12 6

7 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 v a. iv b. i ii d. iii 5. Simplify: 8x 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 x 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 x) 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 a. 5w 2 16w w 2 12w + 8 b. 5w 2 4w + d. 16w 2 16w Divide: 12x2 x 2 a. x b. 4x d Multiply: 6c(c 5) a. 18c 2 0c b. 18c 2 + 0c c d. 18c Solve: 4x = 6.8 a. 1.1 b d. 0.4

8 44. Solve: x 8 2 = 5 a. 42 b d 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 = 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 = Solve: 1 2x = 5x 8 a. x = b. x = x = 1 d. x = 1 4. Solve: 1.b =. 1.2b a. b = b. b = 0. b = d. b = Solve: x = 4 a. x = 15 b. x = 4 x = 8 d. x = 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

9 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 Solve: 14 t > 2 a. t > 4 b. t < 4 t < 4 d. t > 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 d d < 158 b d > 158 d d 158