Grade 10 Academic

Exam Review
Similar Triangles & Trigonometry Solutions


Unit 6
Warm Up Solutions

Two Right Triangles Solutions

Trigonometry Quiz Solutions

Unit 5
Unit 5 Quiz 2 Solutions

Unit 4
Factoring Quiz Solutions


Unit 3
Unit 3 Quiz 1 Solutions


Unit 2


Unit 2 Quidrilateral Quiz Solutions


Application Worksheet Solutions

Unit 2 Mini Quiz

Unit 2 Circles Quiz


Schedule for Mon. Oct. 3 - Fri. Oct. 7
Mon - Equation of a Circle; pgs. 96 - 98 #1 - 4 (3-don't draw), 7a, 8, 15 (pretend it's a one-way tunnel).
Tues - QUIZ;  pgs. 114 #1 - 3, 7 - 10 (discuss 7 - 10)
Wed - Properties of Triangles & Quadrilaterals pgs. 134 - 135 # 1 - 5
Thurs - Verifying Properties of Triangles pgs. 124 - 125 #1 - 4, 6, 7, 9, 10, 12, 13
Fri - Verifying Properties of Quadrilaterals 143 #1 - 5, 7, 9, 10


Schedule for Mon. Sept. 26 - Fri. Sept. 30
Mon - Unit 1 review
Tues - UNIT TEST
Wed - Midpoint and Length of a Line; pgs. 66 - 69  # 1 – 3 (ac), 12 – 15, 29; 
pgs. 77 - 78 #3-7, 10;
Thurs - Application of Slope, Midpoint, and Length of a Line; pgs. 89 – 90 # 1 – 3, 5, 8 – 13
Fri - Continue working on Applications of Slope, Midpoint, and Length of a Line; same homework as Wednesday and Thursday.


Unit 1


Schedule for Wed. Sept. 7 - Fri. Sept. 9
Wed - review of lines (slope-intercept form and standard form)
Thurs - Solving Linear Systems by Graphing (Hmwk: worksheet; odd-numbered graphs, pgs. 17-18 #1, 8bd (do checks), 9bd (do checks), 11-13
Fri - Solving Linear systems by Substitution (Hmwk: pgs 26-27 #1-3, 6-14)

Thursday Homework Answers
1. a) 2x - 7  b) 1/2x + 4  c) (x - 6)y  d)  x + 2/3
8. b) (-3, -4)   d) (3, 7)
9. b) (-2, -1)   d) (2, 1)
11. a)  C = 20m + 150  b) C = 30m + 100  c) graph  d) (5, 250)  e) Point of intersection represents the number of months it will take for the costs to be the same for both clubs.   f) Join CanFit because it will be cheaper for 1 year.

12. a) C = 3n + 10       b) C = 4n + 7       c) (3, 19)      d)  Cost is $19 for both when you rent three video games.

13.  a) C = 15h         b) C = 150           c)  (10, 150)      d) Jeff charges the same price for 10h of work as Hesketh's Snow Removal charges for the season.


Tuesday Homework Answers (pg. 40-41 #10-15, 20)
10. x = 29/14, y = -2/7 for a and b.

11. Multiply first equation by 4, second equation by 3,  then subtract the equations. Solve for y, substitute into the first equation, and solve for x.

12.  a) (-1, -5)  b)  a =4.5, b = 6.5  c)  k = 5, n =-3

13.  Brent multiplied each equation by 10 to write equivalent equations without decimals.  The equivalent equations are easier to solve. x = -1, y = -3.

14.  a) x = 5, y = -1      b)  a = 3, b = - 4  

15.  $4

20.  a) m = - 4 n = - 2    b)  a = 6, b = 8   c)  t = - 4  w = 7

Schedule for Mon. Sept.12 - Fri. Sept.16
Mon - Solving by Elimination; pgs. 40-41 #1, 3, 5, 7-9
Tues - Solving by Elimination; pgs. 41 #11, 12 - 15, 20
Wed - Quiz, practice  pgs. 27 # 15, pgs. 41 # 19 , pgs. 46, #6, practice worksheets
Thurs - Mixed Practice; handout
Fri - Number Problems; pgs. 46 - 47 # 1 - 3, 11, 12, 15, 16

Weekend Homework Answers
1. a) (3, 5)  b) (9, -1)    c)  (1, 1)    d)  (4, -3)

2. a) eqn 1: x = -2y+5   b)  eqn 1:  y = -2x +6    c)  eqn 2:  x = 3y - 2    d)  eqn 1: y = 3x - 5   e)  either eqn, 1:  y = 2x - 2    2:  y = -4x +16

3.  No.

6.  b) S = 2A  c)  S + A = 39    d) Samantha worked 26 h and Adriana worked 13 h.

7.  b) S = 2J - 3   c)  Jeff bought 6 T-shirts, Stephen bought 9.    d) Jeff spent $53. 94, Stephen spent $80.91.

8.  b) g = 23  a = 40   c) Ugo scored 23 goals and 40 assists.

9.  a)  C = 500 + 15n  C = 350 + 18n    b)  50 guests

10.  2.5 h

11.  The companies charge the same for 200km.  It is better to rent from Joe's Garage for distances less than 200 km.

12.  Answers may vary. For example: It is not easy to isolate either of the variables.

13.  Answers may vary.  For example: It is easy to isolate y in either equation.  Both lines are simple to graph.

14.  a) (- 1, 6), (1, 2), (2, 3)  b)  Explanations may vary. For example: Yes, because the slope of the first line, m1, and the slope of the third line, m3, are negative reciprocals of each other. Hence they're perpendicular.   


Week of Mon. Sept. 19 - Fri. Sept. 23
Mon: Distance problems. pg. 46-47, # 7, 8, 17, 18
Tues: Word Problems review.  Worksheets
Wed: Review, pgs. 48-49 #1, 2, 4 - 17
Thurs: Review, hmwk undecided
Fri: PA Day :(

Unit 1 Quiz 2 Solutions