Math 9 Practice Final Exam #2
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1 Class: Date: Math Practice Final Exam #2 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine the value of 0.0. a b. 0.0 c. 0.1 d Which fraction is a perfect square? i) 2 60 ii) iii) 22 iv) 1. A square has an area of 28.8 cm 2. Determine the side length of the square, to the nearest millimetre. a. cm b.. cm c.. cm d..7 cm. Write ( ) ( ) ( ) ( ) ( ) ( ) as a power. a. ( ) 6 b. ( ) c. 6 ( ) d. ( ) 6. Write 6 as repeated multiplication. a c b. 6 d Evaluate: 8 a b. 0 c d Evaluate: ( 11) 0 a. 11 b. 0 c. 1 d Evaluate: ( ) 2 a. 1 b. 00 c. 0 d. 00. Evaluate: ( ) a. b. 21 c. 1 d Write the product of ( 7) 7 ( 7) as a single power. a. ( 7) 28 b. 11 c. ( 1) 11 d. ( 7) 11
2 11. Express as a single power. a b. 7 2 c. 7 6 d Which is the correct value of ? i) 1 ii) 10 iii) 20 iv) a. iv b. iii c. ii d. i Ê 1. Write 2 ˆ Á as a power. a. 6 b. 6 c. d. 1. Which expressions have positive values? È i) ( 7 ) ÎÍ È ii) ( 7) ÎÍ Ê iii) 7 ˆ Á È iv) ( 7) ÎÍ a. ii and iii b. ii and iv c. i and ii d. i and iv 1. Which rational number is represented by the letter A on the number line? a. c. 0. b. 6 d Identify the greatest rational number. 2,, 6, 8 a. b. 2 c. 8 d Determine this sum Ê 2 ˆ Á 22 1 a. 22 b. 11 c. 11 d
3 18. Determine this difference. 2 a. b. c. d. 1. Determine this product. Ê ˆ Á 17 a. b. 12 c. 12 d Determine this quotient. Ê 2 ˆ Á Ê ˆ Á 7 a. 7 2 b. 1 c. 1 d Evaluate a. 1 b. 12 c. 7 d Evaluate a. b. c. 10 d In the equation P = n + 6, determine the value of P when n = 11. a. 22 b. 6 c. 8 d This pattern of unit squares continues. Which equation below relates the number of squares, n, to the figure number, f? i) n = f + ii) n = f + 1 iii) f = n + 1 iv) f = + n
4 2. Which graphs represent a linear relation? a. Q, R, and S c. Q and R b. Q and S d. P and R 26. Complete the table of values. y = x a. c. b. d.
5 27. Which line is the graph of x + 2 = 0? a. Line Q b. Line S c. Line R d. Line P 28. Which equation describes a horizontal line? i) x + 6 = ii) y + x = 6 iii) y x = 0 iv) y + = 6 2. Which equation describes the graph? i) x + y = ii) x y = iii) y x = iv) x + y =
6 0. This graph represents a linear relation. Determine the value of y when x =. a. b. 6. c.. d 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. 1 h b. 1 h c. 12 h d. 11 h 2. How many terms are in the polynomial 6x 2 + x 7? a. b. 7 c. 6 d. 1. Name the coefficients of the variable in the polynomial x 2 + 7x. a., b., 7 c., 7 d. 6
7 . Identify the polynomial that is equivalent to 2 v 6v 2. i) 6v 2 + v 2 ii) 2 + 6v 2 v iii) 6v 2 v + 2 iv) 6v v a. iv b. i c. ii d. iii. Simplify: 7x + + x a. x b. 10x 1 c. 11x + 2 d. 11x 2 6. Write the perimeter of this triangle as a polynomial in simplest form. a. 2x b. 2x + 2 c. 2x 2 d. 2x + 7. Add: (x 2 x + 7) + ( x 2 2x 7) a. x 2 + 6x b. x 2 6x + 1 c. x 2 2x d. x 2 6x 8. Subtract: (x 6x 2 + 1) (x x) a. 10x 2 + x 7 c. 10x 2 + x 7 b. 10x 2 x + 7 d. 10x 2 1x. Multiply: 7(x 2 x) a. 11x 2 2x b. 28x 2 x c. 28x 2 x d. 28x 2 + 2x 0. Divide: 0w2 2w a. 2w 2 18w + 12 c. w 2 2w + 18 b. w 2 w + d. 2w 2 2w Divide: 16x2 x 2 a. b. 12x c. x d Multiply: 6c(c ) a. 2c 2 0c b. 2c 2 + 0c c. 2c 2 d. 2c Solve: x = 6. a. 0. b. 1.2 c. 0. d..7 7
8 . Solve: x 6 2 = a. 2 b. 2 c. 1 d. 17. Solve: (x + ) = 16 a. 7 b. 8 c. 1 d Solve: (q 2) = 2(q + ) a. q = 2 1 b. q = 2 1 c. q = 7 d. q = 7 7. A number times, minus 7, is 6. Write an equation to determine the number. a. 7x = 6 b. x 7 = 6 c. 7 x = 6 d. 7x = 6 8. Solve: 10 x = x 11 a. x = 1 b. x = 1 c. x = d. x =. Solve: 1.2b =.7 1.b a. b = b. b = 0. c. b = 0. d. b = 0. Solve: x = a. x = b. x = 2 c. x = d. x = 6 1. Use a symbol to write an inequality that corresponds to this statement: x is less than or equal to a. x b. x < c. x d. x > 2. Which of these graphs is a solution of c > 1? i) ii) iii) iv) a. Graph i b. Graph ii c. Graph iii d. Graph iv 8
9 . Which of these graphs represent the solution of the inequality q 2 1? i) ii) iii) iv) a. Graph i b. Graph ii c. Graph iii d. Graph iv. Solve:.1 y 1.2 a. y. b. y 1. c. y. d. y 1.. Solve: 20 t > 2 a. t < 6 b. t > 6 c. t < 6 d. t > 6 6. An equipment rental company charges a flat rate of $2, plus $12 per day for insurance. Kyle has $126. Write an inequality to represent the number of days, d, for which he can rent equipment. a d < 126 c d 126 b d > 126 d d Omar asked his classmates the following question. Don t you think apartment buildings should allow residents to have cats? Which of the following might be a problem with his survey? i) Timing ii) Bias iii) Privacy iv) Cost 8. Which of the following data collection methods would provide the most accurate information about grade students lunch choices at a school? i) Survey a sample of students who eat lunch in the cafeteria ii) Survey all the students who eat lunch in the cafeteria iii) Survey a sample of all students in grade in the school iv) Survey all grade students in the school
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