Question 1 Question 2 Answer trinomial Question 3

Question 1

Question 2 Answer: trinomial

Question 3

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Question 9 Marcel has $40 to spend on amusement park rides. Tickets cost $1. 50 without a special membership pass, or $1. 25 with a membership pass. A membership pass costs $5. 00. Should Marcel buy a membership pass? Justify your answer. Answer: Yes

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Question 12 A garden is in the shape of a right triangle. The base of the triangles is 12 m, and the garden covers an area of 30 m 2. What length of fence is needed to surround the garden? Show all of your work. Answer: 30 m

Question 13 Milk is sold in 4 L bags and in 2 L and 1 L cartons. The milk is priced at $3. 49, $2. 31 and $1. 20, respectively. By how much would the cost of each carton have to be reduced so that its unit price is equal to that of the 4 L bag? Answer: 2 L carton: $0. 565 1 L carton: $0. 3275

Question 14 Aretha has $0. 85 in nickels and dimes. She has two more nickels than dimes. How many nickels and dimes does she have? Answer: 5 dimes and 7 nickels

Question 15 The number of frost-free days per year in Quebec City is 18 less than the number of frost-free days in Halifax. The total number in both cities is 292. How many frost-free days are there per year in Halifax? Answer: 155 days

Question 16 Determine if the relation is linear or non-linear: x -5 -3 -1 1 y -4 -1 2 5 Answer: Linear

Question 17 Two ramps are being built with the same slope. The first ramp is twice the height of the second ramp. Does the first ramp have to be twice as long as the second ramp? Explain, in words. Answer: Yes; rise/run must remain equal

Question 18 Answer: B(7, 7)

Question 19 A hummingbird can flap its wings an average of 1800 times every 30 seconds. What is the rate of change of wing flaps? Answer: 60 wing flaps/second

Question 20 A class is planning a field trip to an art gallery. The cost of renting a bus is $250. There is an additional cost of $4 per student for the entrance fee. Identify the fixed cost and the variable cost Answer: Fixed cost: $250 Variable cost: $4

Question 21 List 2 things that need to be considered when drawing a line of best fit that is different than drawing a linear equation. Answer: • Follow the trend • Same number of points above/below line • May or may not go through any points

Question 22 State the slope of the line that goes through the points A(-3, 8) and B(-3, -1) Answer: m is undefined

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Question 25 Answer:

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Question 27 List the steps you would use to find the solution to a linear system graphically if you were given the two equations. Answer: Graph both lines on the same grid. Find the point of intersection.

Question 28 State the equation of the line that passes through the points A(-3, 9) and B(1, -7)

Question 29

Question 30 A baseball diamond is a square with sides that measure 27 m. How far does the catcher have to throw the ball to get the runner stealing second base out? Answer: 38. 2 m

Question 31 8 cm An archery target has a diameter of 80 cm. It contains a circle in the centre with a radius of 8 cm and four addition concentric rings each 8 cm wide. Find the area of the outer ring, to the nearest square centimetre. Answer: 1810 m 2

Question 32 The Pyramid of Khafre at Giza, Egypt, was built by Pharaoh Khafre, who ruled Egypt for 26 years. The square base of this pyramid has side lengths of 215 m and its volume is 2 211 096 m 3. Calculate its height, to the nearest tenth of a metre. Answer: 143. 5 m

Question 33 The T-Ball company is considering packaging two tennis balls that are 8. 5 cm in diameter in either a cylinder or in a square-based prism. What is the least amount of empty space there will be in each container? Answer: Cylinder: 321. 6 cm 3 Square-base Prism: 585. 1 cm 3

Question 34 A rectangular yard with an area of 50 m 2 is to be fenced in on three sides. What length of fencing is needed to keep the cost to a minimum? Answer: 20 m

Question 35 Determine the dimensions of a square-based prism juice box that holds 200 m. L of juice and requires the least amount of material. Answer: 5. 8 cm x 5. 8 cm

Question 36 For a volume 1000 cm 3, determine which threedimensional figure could have the minimum surface area: a square-based prism, a cylinder or a sphere. What is the minimum surface area? Answer: Sphere: 483. 6 cm 2

Question 37 For each statement, either explain why it is true or draw a counter-example to show that it is false: a. Any diagonal of a quadrilateral bisects its area b. Any line segment joining the midpoints of opposite sides of a parallelogram bisects its area Answer: a. False b. True

Question 38 What angle is x?

Grade 9 Review ZONK