9 academic review package - final

8/4/2019 9 Academic Review Package - Final

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4 m10 m

Exam Review Grade 9 Academic Math

THIS REVIEW PACKAGE COUNTS IN YOUR MARK!

Certain Questions are to be done on lined paper – listen for instructions

Identify the choice that best completes the statement or answers the question.

1. Which graph does NOT represent a partial variation?

A B C D

2. Use first differences to determine which relation is linear.A B

x y x y

0 2 0 51 3 2 32 4 4 –13 4 6 –3

FBoth A and B are

linear.

GOnly A is linear.

HOnly B is linear.

INeither A nor B is

linear.

3. Which equation represents a partial variation?

A B C D none of these

4. What is the slope of the ramp?F 0.04

G 0.4H 4I 40

5. For the line , which statement is true?A The x -intercept is 3, and the y -intercept is 4.B The x -intercept is 3, and the y -intercept is –4.C The x -intercept is 4, and the y -intercept is 3.D The x -intercept is 4, and the y -intercept is –3.

6. What are the x - and y -intercepts of the line 5 x – 4 y = 20?

F x -intercept = 4, y -intercept = –5

DO NOT WRITE IN THIS BOOKLET!!!All answers go on lined paper or the bubble answer sheet provided.



G x -intercept = –4, y -intercept = –5H x -intercept = –4, y -intercept = 5I x -intercept = 4, y -intercept = 5

7. What is the equation of the line with a slope of 3 and a y -intercept of -4?A B C D

8. Which are the slope and y -intercept of the line y = 5 x + 3?

F m = 3, b =5G m = –3, b = –5

H m = –5, b =3I m = 5, b =3

9. What are the slope and y -intercept of this line?

A m = –2, b = –1 B m = 2, b = 1

C m = –2, b = 1 D m = 2, b = –1

10. The lines in which pair are parallel?A B C D

11. What is the slope of the line through the points (3, 4) and (–4, –5)?A B C D

12. What is the slope of the line passing through the points ( x , y ) and ( p, q)?A B C D

13. What is the equation in standard form for the line with slope 3 and y -intercept –4?F G H I

14. What is the equation of the line through the point (2, 3) with slope –2?A B C D

15. What is the equation of the line that passes through (3, –1) and is perpendicular to the line?

A B C D

16. Which is the solution to the linear system y = 2 x and y = x + 4?F (4, 1) G (4, –2) H (4, 8) I (4, 4)

17. One angle of an isosceles triangle measures 35°. Which of the following are possiblemeasures for another angle in the triangle?

A 72.5° B 35° C Both of these. D Neither of

DO NOT WRITE IN

THIS BOOKLET!



these.

18. Find the measure of angle d in figure 1. Figure 1 - Angle Relationships

F 130º G 115ºH 30º I 65º

19. Find the measure of angle g in figure 1.

A 85º B 95ºC 65º D 150º

20. Find the measure of angle u in figure 2. Figure 2 - Triangle Relationships

F 30º G 120ºH 60º I 150º

21. Find the measure of angle v in figure 2.A 30° B 60°C 120° D 150°

22. Which of the following statements is correct?

A ABC = 40°B is isosceles.C AB = BCD All of these.

23. The length of the side x , to the nearest tenth of a metre, is

F 16.4 mG 19.3 mH 25.5 mI 30 m

24. The length of the side y , to the nearest centimetre, is

A 16 cmB 25 cmC 29 cmD 38 cm

25. What is the length of the path around the patio, to the nearest metre?

F 46 m

G 52 m

DO NOT WRITE INTHIS BOOKLET!



H 48 mI 50 m

26. What is the area of this figure?

A 234 cmB 116 cm

C 224 cmD 117 cm

27. A cone has a radius of 10 cm and a height of 24 cm. What is its slant height?A 24.5 cm B 25 cm C 25.5 cm D 26 cm

28. A sphere has a radius of 12 cm. What is its surface area, to the nearest square centimetre?F 1810 cm G 1921 cm H 1746 cm I 1820 cm

29. Elliot is planning a rectangular flowerbed. He has 20 m of edging material. Whichdimensions give the greatest area for his garden?A 4 m ́ 6 m B 8 m ́ 2 m C 10 m ́ 10 m D 3 m ́ 7 m

30. Cylindrical can A has a diameter of 6 cm and a height of 10 cm. Cylindrical can B has a diameter of 10 cm and a height of 6 cm.Which statement is true?F Can A has a greater volume than can B.G Can B has a greater volume than can A.H Both cans have the same volume.

I Both cans have the same volume and surface area.

31. Which expression is equivalent to 3(2 x + 3) + 2( x + 1)?A 7 x + 8 B 8 x + 4 C 8 x + 9 D 8 x + 11

32. The expressions in which pair are equal?F and G and H and I and

33. Simplify.F G H I

34. y = –2 is the correct solution for which equation?A 2 y – 5 = 1 B y – 3 = –5 C 3 y + 1 = 5 D 4 y + 8 = –4

35. By which number would you multiply both sides of the equation to

eliminate all the fractions?




F 6 G 15 H 20 I 30

Figure 3

What point has coordinates…

36. (1, –2)?

37. (-3, 4)?

38. (–5, –3)?

39. Alec had a certain amount in his bank account when it

was opened. He withdraws the same amount each month. This graph shows the amount in Alec’s account at theend of each month.

Write an equation for the amount, A dollars, inAlec’s account after t months.

A A = 90 +18tB A = 18 + 90tC A= 90 - 18tD A = 18 - 90t

40. This table shows the cost of renting a banquet room. The cost is a flat fee for the room plus a fixed amount for each person that attends thebanquet.

Find the equation for the cost.

F C = 12n + 45 G C = 45n + 12 H C= 10n + 165 I C = 165n +10

41. Under what circumstances is it moreeconomical to buy your pizza from

Pizza Pizzazz?




−4 −3 −2 −1 1 2 3 4

−4

−3

−2

−1

1

2

3

4

A want to buy pizza with 7 or less toppingsB want to buy pizza with 5 or less toppingsC want to buy pizza with 7 or more toppingsD want to buy pizza with 5 or more toppings

The graph shows Mrs. Gaudet’s walk to the post office. On her way home, she stops to talkto a friend.

A

B

C D

E

F

G

Time (min)

D i s t a n c e (

m )

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

50

100

150

200

250

300

350

400

450

500

42. Which segment shows Mrs. Gaudet talking to her friend?A F to G B C to D C D to E D E to F

43. In which segment is Mrs. Gaudet walking the fastest?F B to C G F to G H D to E I A to B

44. In which segment is Mrs. Gaudet walking home?F C to D G E to F H F to G I A to B

45. How fast is Mrs. Gaudet walking from F to G?A 300 m/mim B 3 m/min C 100 m/min D 10 m/min

46. How fast is Mrs. Gaudet walking from B to C?F 450 m/min G 7 m / min H 64.3 m/min I 62.5 m/min

47. Determine the equation of the horizontal line shown right.

A y = 3 B x = 3

DO NOT WRITE IN

THIS BOOKLET!



−4 −3 −2 −1 1 2 3 4

−4

−3

−2

−1

1

2

3

4

C y = -3 D x = -3

48. Determine the equation of the vertical line shown right:

F y = -2 G y =2

H x =-2 I x = 2

49. Find the value of angle EGA.

A 40° B 120° C 30° D 110°




Name: _______________________________________________

1. A B C D P. 250 #C1

2. F G H I P. 290 #8

3. A B C D P. 290 #1

4. F G H I P. 290 #3

5. A B C D P. 352 #7

6. F G H I P. 352 #7

7. A B C D P. 352 #3

8. F G H I P. 352 #2

9. A B C D P. 352 #1

10. A B C D P. 354 #3

11. A B C D P. 288 #8

12. A B C D P. 288 #8

13. F G H I P. 352 #5

14. A B C D P. 352 #3

15. A B C D P. 355 #12

16. F G H I P. 353 #17

17. A B C D P. 363 #6

18. F G H I P. 363 #6

19. A B C D P. 363 #6

20. F G H I P. 372 #5e

21. A B C D P. 372 #5e

22. A B C D P. 408 #1a

23. F G H I P. 470 #1

24. A B C D P. 470 #1

25. F G H I P. 470 #4

26. A B C D P. 470 #3

27. A B C D P. 447 #2

28. F G H I P. 459 #1

29. A B C D P. 516 #1

30. F G H I P. 473 #11

31. A B C D P. 176 #13

32. F G H I P. 176 #11

33. F G H I P. 175 #19

34. A B C D P. 230 #2

35. F G H I P. 231 #11

36. A B C D F P. 95 #6a

37. A B C D F P. 95 #6a

38. A B C D F P. 95 #6a

39. A B C D P. 291 #10

40. F G H I P. 289 #16

41. A B C D P. 353 #18

42. A B C D P. 92 #3

43. F G H I P. 92 #3

44. F G H I P. 92 #3

45. A B C D P. 354 #6

46. F G H I P. 354 #6

47. A B C D P. 304 #4

48. F G H I P. 304 #4

ANSWER SHEET: GRADE 9 ACADEMIC EXAM REVIEW



49. A B C D P. 363 #6



Exam Review Grade 9 Academic Math Answer Section1. D - The graph must be a straight line that does not pass through the origin.

2. I - Neither A nor B has constant first differences.

3. C

4. F

5. B - To find the x-intercept, find the value of x when y = 0.

The x-intercept is 3.

To find the y-intercept, find the value of y when x = 0.

The y-intercept is –4.

6. F

7. C - Substitute the slope and y-intercept into the slope y-intercept form of the equation

of a line, y = mx + b. y = –3 x + 4

8. I

9. D - The graph rises 2 units for a run of 1, so the slope is 2. Read the y-intercept of –1 from the graph.

10. C - The lines are both horizontal, with slope 0.



11. G

12. B

13. H - Substitute the slope and y-intercept into the slope y-intercept form of the equation

of a line, y = mx + b.

y = 3 x – 4

Rewrite in standard form.

14. B - Substitute m = –2 and the coordinates of the point (2, 3) into y = mx + b. Then, solve for b.

The equation of the line is y = –2 x + 7.

15. C - The slope of the line must be the negative reciprocal of –3, or . Substitute the slope and the

coordinates of the point (3, –1) into the equation y = mx + b and solve for b.



The equation of the line is .

16. H

17. C - 35°, 35°, 110° and 72.5°, 72.5°, 35° are both possible sets of angle measures for the triangle.

18. I

19. B20. H

21. B

22. B

Since ABC = 70°, is isosceles. The two equal sides of the triangle are AC and BC, not AB and BC.

23. G - Use the Pythagorean theorem.

The length of the side x is approximately 19.3 m.

24. B - Use the Pythagorean theorem.

The length of the side y is approximately 25 cm.

25. F - The distance around the patio is the circumference of the two semicircles plus the two parallel sides

of the trapezoid.

The length of the path is approximately 46 m.

26. D

The formula for the area of a trapezoid with parallel sides a and b and height h is .



The area of the figure is approximately 117 cm2.

27. D - Use the Pythagorean theorem. Let s represent the slant height.

28. F - Use the formula for the surface area of a sphere.

The surface area of the sphere is approximately 1810 cm2.

29. A - The dimensions that are closest to a square give the greatest area. A 5 m × 5 m rectangle would give

the greatest area, but this is not one of the choices.

30. G

31. D

32. G

33. F

34. B

35. I

36. A

37. F

38. B

39. C

40. F

41. C

42. D

43. G

44. H

45. C

46. I

47. A

48. H

49. B

9 academic review package - final

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