This is what the front page of the exam will look like. OSGOODE TOWNSHIP HIGH SCHOOL. MPM 1D Grade 9 Academic Mathematics

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1 Math D Practice Exam Page of 9 Januar 08 This is what the front page of the exam will look like. OSGOODE TOWNSHIP HIGH SCHOOL MPM D Grade 9 Academic Mathematics Student NAME: DATE of the exam: TIME: TEACHERS: Frida Januar 6, 08 (Mrs. Quaglia s class) Tuesda Januar 0, 08 (Mr. McEwen s class) 8:0 am 0:5 am (NOTE: Mr. McEwen s class is in room S0. Mrs. Quaglia s class is in room S8) McEwen and Quaglia TOTAL MARKS: / 9 PLEASE READ THE FOLLOWING INSTRUCTIONS This exam contains 9 pages altogether, page 9 is our EQAO Formula Sheet. Check now to make sure ou have all pages. The back page can be removed from the exam. Students ma have foolscap paper for rough work. All rough work must be handed in with the exam. Please write clearl. Show all formulas and work where requested. Communication will be evaluated according to the rubric below. Scientific, non-programmable calculators ma be used for this examination (which means that TI-8 graphing calculators and cell phones/ipods/other electronic devices are NOT allowed). Calculators, erasers and other materials ma NOT be shared between students. Section Content Marks Out Of A Short Answer 9 B Long Answer 57 COM Communication 5 Communication: Will be evaluated according to the following criteria:[5 marks] Mathematical thinking is communicated in writing using mathematical vocabular, a variet of appropriate representations, and b observing mathematical conventions such as: Well organized solutions One equal sign per line, working verticall down the page Fraction solutions are presented as improper fractions Variables are defined using let statements in word problems Final answer is presented in a sentence in word problems. Explanations are given using clear, conventional sentences TOTAL 9 Level R Level Level Level Level mark Insufficient marks Below the Standard marks Approaching the standard marks Achieving the standard DO NOT OPEN THE EXAM UNTIL YOU ARE INSTRUCTED TO DO SO 5 marks Thoughtful, efficient

2 Math D Practice Exam Page of 9 Januar 08 NOTE: Completing and checking over this practice exam will ASSIST in our preparation for the final MPM D examination. These tasks should NOT be viewed as the ONLY review recommended. Quizzes, tests and class notes are invaluable review tools for final examinations. EQAO practice material is also recommended as good review questions. Part A Short Answer [9 marks] It is not necessar to show our calculations. Please answer each of the following questions in the space provided.. Evaluate each of the following: a) b) ( ) [( ) ]. Simplif each of following a) x x x m n b) 6m n c) ( ). Identif each of the following as representing either a linear relationship or a non-linear linear relationship. a) x b) x c) x What is the slope of the line below? x 5 5. State the slope, the -intercept and the x-intercept for the line below: slope: -intercept: x-intercept:

3 Math D Practice Exam Page of 9 Januar What is the slope of a line parallel to x? 7. What is the missing value, r, such that the relation is linear? x 0 6 r The points (, ) and (, ) are both on a line with a slope of. Determine the value of x 5 9. Solve the linear sstem and write the solution on the blank to the right of the grid x 5 0. Simplif: x + x x + x. Solve: 5. Solve for r: A r. The OTHS student council is running a dance to raise mone for the local food bank. The will charge each student $5 per ticket. The cost for the DJ is $50 and it will be paid out of the funds raised b selling tickets. a) Identif the fixed cost. b) Identif the rate of change. c) Write an equation to model the revenue for the dance. Let M represent the mone raised and let n represent the number of tickets sold.

4 Math D Practice Exam Page of 9 Januar 08. A school is planning on planting a garden. A member of the communit donated 60 feet of fence. What are the optimal dimensions of the garden? 5. Evaluate. ( 5 6 ) 6. A cone has a radius of cm and a slant height of 5 cm. What is the height of the cone? 7. Examine the figure below. Determine the measure of FEG. 8. In the diagram below, line segment EB bisects ABD. Determine the measure of ABE. 9. What is the measure of each exterior angle of a regular polgon with 5 sides? 0. Write the following information as a ratio in lowest terms. The length of a wooden box is 5 cm and its width is 9 cm. Part B Long Answer [57 marks] Answer each of the following in the space provided. Please show ALL calculations.. Simplif: ( x )(x) [] []. Express the linear equation = x + in standard form.

5 Account Balance ($) Math D Practice Exam Page 5 of 9 Januar 08. Solve each equation. No check is necessar. a) ( x ) ( x ) b) [] []. George bus a coat for $5.89. Tax is 5%. Determine the amount George pas in total. [] 5. The graph below shows the relationship between the amount of mone in a bank account, A and time, t, in weeks A x Week t a) Identif the dependent variable. Justif our choice. [] b) Describe (in words) the relationship between the variables in terms of strength, direction and form. [] c) Estimate the bank balance after 6.5 weeks. [] d) Did ou use interpolation or extrapolation to answer part (c)? (Choose ONE!) [] e) Should the data points on the grid be joined with a dashed line of best fit OR should the be joined with a solid line? (Choose ONE!) _ Justif our choice. [] f) What is the value of the A-intercept for the relation? Does this value indicate direct variation OR partial variation? (Choose ONE!) Justif our choice. [] g) Write the rate of change for the data here: Explain in words what the rate of change tells us about the relationship between the variables A and t. []

6 Math D Practice Exam Page 6 of 9 Januar The graph below represents four segments of Selena s morning walk. The divisions for the segments are shown b the dashed vertical lines on the graph. Describe the four segments of Selena s walk including information about direction, distance, time and speed (measured in m/min). [] 7. A gm charges a $80 membership fee, plus a fee of $0 per month. a) How much does it cost to belong to the gm for a ear? [] b) If ou made a pament of $0, how man months would this cover? [] 8. Determine the equation of the line that passes through these two points: P(, ) and Q(, 5). [] 9. Determine the equation of the line that fulfills both of the following requirements: It is perpendicular to the line described b 0 = x + AND [] It has a -intercept that is 5 units greater than the one for the line described b = x Once ou have done the work, write the equation of the new line here:

7 Math D Practice Exam Page 7 of 9 Januar 08 [] [] 0. Plot and label both of the lines below on the grid to the right. Line A: x Line B: x =. Calculate the value of x x 5 []. A laundr detergent compan plans to sell a bargain box that contains 0 L of detergent. Find the dimensions of the rectangular box that uses the smallest amount of cardboard. [Note: L = 000 ml; ml = cm ]. A farmer wants to make a clindrical water tank using metal. Suppose she has 75 m of metal available. Determine: [] a) the dimensions of the tank that will hold the largest volume of water. b) the volume of water, to one decimal place, this tank could hold. []

8 Math D Practice Exam Page 8 of 9 Januar 08. Patrick works 5 hours per week in retail selling shoes. He earns a base salar of $9.50/h and receives a commission of % on the sales that he makes. a) Complete the following table showing weekl sales, commission, and total salar for Patrick. [] Weekl Sales, s ($) Commission (% of sales) ($) Total Salar, T ($) (base salar per5 h work week + commission earned) (5 h 9.50 $ ) + $0 commission = h Base salar b) Graph Patrick s total salar, T, versus his weekl sales, S. Clearl label the axes on the graph below and give the graph a title appropriate to the data. [5] T s [] [] c) What is the equation of the relation? Be sure to use the correct variables. d) What is the value of the slope of the relation? What does this slope represent? [] e) What is the value of the T-intercept of the relation? What does it represent? f) Patrick s friends, Grace and Malcolm, also work at shoe stores. The also work 5 h per week. Grace earns $8/h with 6% commission. Malcolm earns $5/h with no commission. Each of the three friends sells about $500 worth of shoes each week. Which person seems to have the best-paid job? Justif our answer mathematicall. Use the back of this page if ou need more space. []

9 Math D Practice Exam Page 9 of 9 Januar 08 There will be a Measurement Formula Sheet attached on the exam (EQAO formula sheet) as page 9.