Unit 2 Extra Resources
2.1 Pythagorean Theorem
Pythagorean Theorem Playlist
Pythagorean Theorem Practice
If you are interested, here are a bunch of proofs of the theorem!
2.3 Trigonometry
Trigonometry Introduction
Pythagorean Theorem Playlist
Pythagorean Theorem Practice
If you are interested, here are a bunch of proofs of the theorem!
2.3 Trigonometry
Trigonometry Introduction
Unit 1 Extra Resources
Unit 1 Get Ready:
Adding and Subtracting Fractions Review
Continue in the playlists for multiplying and dividing fractions, converting fractions to decimals as well as some practice questions
1.1 & 1.2 Unit Conversions
Unit Conversions with Fractions Examples
1.3 Similar Triangles
Similar Triangles
Example 1-5 From 1.3 Answers:
1.4 Solving Problems with Similar Triangles
Examples 1-6 from 1.4 Answers
Extra Text Book Practice for Unit 1
1.1 Pg 9-11 #2-6, 8-12
1.2 Pg 16-18 #1-5, 7-9, 12-14, 16
1.3 Pg 25-29 #1-6, 8-11
1.4 Pg 33-37 #4-10, 12-15
Unit 1 Review Pg 38-39
Adding and Subtracting Fractions Review
Continue in the playlists for multiplying and dividing fractions, converting fractions to decimals as well as some practice questions
1.1 & 1.2 Unit Conversions
Unit Conversions with Fractions Examples
1.3 Similar Triangles
Similar Triangles
Example 1-5 From 1.3 Answers:
- Example 1 - x = 39, y = 76, z = 65 (all in degrees)
- Example 2 - p = 15.4
- Example 3 - FG = 12.9
- Example 4 - AC = 45
- Example 5 - ratio of sides = 2.5
1.4 Solving Problems with Similar Triangles
Examples 1-6 from 1.4 Answers
- Example 1 - 11.25 m
- Example 2 - 1 m
- Example 3 - 2 m
- Example 4 - 20 m
- Example 5 - 1.25 m and 1 m
- Example 6 - 2250 cm
Extra Text Book Practice for Unit 1
1.1 Pg 9-11 #2-6, 8-12
1.2 Pg 16-18 #1-5, 7-9, 12-14, 16
1.3 Pg 25-29 #1-6, 8-11
1.4 Pg 33-37 #4-10, 12-15
Unit 1 Review Pg 38-39
Unit 7 Extra Resources
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Unit 7 Practice Test - Answers
1a) 15x^2 + 4x - 4 b) x^2 - 5x - 50 c) x^2 + 10x +25 2a) -3x(3x + 4) b) 5(3x^2 - 2x + 1) 3a) 5 b) 3x 4a) (x-3)(x+3) b) (5-3x)(5+3x) c) (3x - 4y)(3x + 4y) |
5a) (x+5)(x-2)
b) (x-11)(x+1) 6a) 2(x+3)(x+3) OR 2(x+3)^2 b) 2(x-7)(x+7) c) 2xy(2x - 5y^2) 7. C 8. B 9. D 10a) 9x^2 and 16 b) 9x^2 - 16 c) (3x-4)(3x+4) |
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Unit 7 Review Sheet - Answers
1a) 6x^2 + 5x - 4 b) 2x^2 + 12x - 14 c) 3x^2 - 8x - 3 d) x^2 - 2x +1 2a) x^2 - 9 b) x^2 + 6x +9 3a) 3x(x + 4) b) 6x^2(3x + 1) 4a) 2(x^2 + 10) b) 4xy(x + 2) |
4c) x^2 - 144
d) (x-7)(x+2) 5a) 5^2 b) 7^2 c) 9^2 6a), b) 7a) x^2 - 9 b) x^2 - 16 8a) (x + 6)(x + 1) b) rectangle c) 14 square feet |
Unit 7 Videos
7.1 Multiplying Binomials
Multiplying Binomials using FOIL
7.2 Factoring by GCF
Find the Greatest Common Factor
Factor the Greatest Common Factor
7.3 Factoring a Difference of Squares
Factoring using Differences of Squares Playlist
7.4 Factoring Simple Quadratics
Factoring Simple Quadratics Examples
Multiplying Binomials using FOIL
7.2 Factoring by GCF
Find the Greatest Common Factor
Factor the Greatest Common Factor
7.3 Factoring a Difference of Squares
Factoring using Differences of Squares Playlist
7.4 Factoring Simple Quadratics
Factoring Simple Quadratics Examples
Chapter 5 Review Sheet Answers
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1a) YES
b) NO 2a) (1,5) b) (1,-1) 4a) y=x+4 b) y=2/3x-5/3 c) y=-3x+5 |
5a) C1=10s+250
b) C2 = 20s c) s=25 6a) Subtract the equations b) multiply equation 2 by 2 and add the equations 7. (-7,-13) |
Unit 5 Alternative Lessons (Khan Academy Videos)
If you are having difficulty with any of the material in Unit 5, missed a lesson or just want some extra practice, have a look at the following 2 playlists:
Straight forward solving linear systems:
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/fast-systems-of-equations/v/solving-linear-systems-by-graphing
Solving linear systems with kings and trolls (similar material covered in a different way):
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview/v/trolls--tolls--and-systems-of-equations
The videos correspond to the sections we are doing like this:
Straight forward solving linear systems:
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/fast-systems-of-equations/v/solving-linear-systems-by-graphing
Solving linear systems with kings and trolls (similar material covered in a different way):
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview/v/trolls--tolls--and-systems-of-equations
The videos correspond to the sections we are doing like this:
- 5.1 - Solving Linear Systems by Graphing (and practice questions)
- 5.2 - Solving Linear Systems by Substitution (and practice questions)
- 5.3 - Solving Linear Systems by Elimination (and practice questions)
Unit 4
Unit 4 Pre-Test Answers
Answers:
1a) add 3
b) multiply by -2
c) subtract 3
d) divide by 3
2a) x = -5
b) x = 72
c) x = -7/4
d) x = 10/3
3a) 150 km
b) 2.7 hours
c) $3000
d) 10.3 years
4a) y = 3x - 7
b) y = -1/2x - 3
5. C = -18
6a) C = 1.99n
b) C = 11.94
c) n = 10 apps
4.4 Convert Linear Relations from Standard Form Worksheet
Answers:
1a) y = -2x+1
b) y = 3x-5
c) y = -2x+4
d) y = x+1
2a) y = 2x+4, m=2, b=4
b) y = -3x-11, m=-3, b=-11
c) y = 8x-5, m=8, b=-5
d) y = -2x-7, m=-2, b=-7
e) y = x-3, m=1, b=-3
f) y = -2x+5, m=-2, b=5
g) y = 1/5x+3, m=1/5, b=3
h) y = -1/2x-3, m=-1/2, b=-3
3. C = -11
4. A = 5
5. b = -35
