# Maths Syllabus Chapter 1

## Chapter 1-1

Youtube Videos on Variables and Expressions:

Variables, expressions and equations

### Questions:

1. What is meant by a) a variable, b) a constant, c) a coefficient, d) a factor?

Questions 4-9 and 31-33 on page 7

Questions 35 and 40 on page 8

Questions 51 to 58 on page 8

## Chapter 1-2

Order of Operations

### Chapter 1-2 Questions:

Questions 17, 19, 28, 35, 53, 55 on page 13

## Chapter 1-3

### Chapter 1-3 Questions:

Questions 19, 21, 23, 29, 48 and 49 on page 20

# Maths Syllabus Chapter 2

## Chapter 2-1

Youtube Videos on Writing Equations from Sentences:

Simple Equations

English to Algebra

More Examples

Harder Examples

### Chapter 2-1 Questions:

1. The sum of my father's height and mother's height is 354cm. If my father is 6cm taller than my mother, how tall is my father?

2. My sister's age and my age combined is 43. Given that my sister is three years older than me, how old will I be six years from now?

3. Twelve years ago, my grandmother was twice the age of my mother. Today their ages combined is one hundred and fourteen. How old was my grandmother when my mother was born?

### Harder Questions: Use a dictionary or translator for any words you don't know.

1. 3 years ago, my sister was half my age (at that time). In another 3 years from now, twice my age will be equal to three times her age. How old is my sister now?

## Chapter 2-2 to 2-4

Video 1

Video 2

Video 3

1. a + 8 = 10

2. b + 13 = 37

3. 3c + 4 = 13

4. d - 3 = 8

5. 5e - 4 = 26

6. 5f + 21 = 8f

7. 4g = 44

8. -8h = 36

9. 1/4 + i = 7/8

10. j/3 = 12

11. -6k/5 = 36

12. 63/L = 21

### Harder Questions: Use a dictionary or translator for any words you don't know.

13. From Siji to Masafi is 11.5km. From Siji to Dubai is six times this distance. How far is it from Siji to Dubai?

14. The distance from RAK to Dubai is one third of the distance between Dubai and Abu Dhabi. If the sum of these distances is 240km, how far is it from Abu Dhabi to Dubai?

15. One quarter of the distance between Fujairah and Masafi is twice the distance between Siji and Al-Manama. If these combined distances is 63km, how far is it from Masafi to Fujairah? Show your working.

### Chapter 2-3 and 2-4 Questions:

1. 3a + 8 = 14

2. 20 - 5b = -15

3. 8c - 12 = 16

4. (d + 2)/3 = 8

5. (5e - 1)/2 = 17

6. (3f + 64)/5 = 7f

7. 3(g + 1) = 33

8. -5(h + 3) = 40

9. -13(7 - i) = 65

10. 11 - j/8 = 7

11. 2k + 1 = 5k - 8

12. 4L/3 = 21 + L/3

13. 2(m + 3) + 7 = 4(m - 3) + 9

14. 5(n - 4)/3 = 2(n - 6)

15. (27 - 11p)/p = -2

16. 5q(r + 2) = 3qr + 18 + 10q. If r = 4.5, find the value of q.

### Harder Questions: Use a dictionary or translator for any words you don't know.

17. Mr Khalid buys a box of chocolates. He is hungry and eats 15 of them! The remainder of them he gives to his 20 students at 3 chocolates per head. How many chocolates were in the box at the start?

18. The perimeter of a rectangle is 84cm. The width of the rectangle is given by (5y + 7)/3 and is half as long as the length of the rectangle. Find the value of y.

19. Miss Sogah is 5 times as old as the difference between double her son's age and 3. Her son is exactly 7.5 times younger than her. How old is she?

20. 3(t + 4) - 2(t + 1) = 5(t - two squared) + t(ten - two cubed). Find the value of t.

### Extra Questions:

11. 3a + 5 = 7a - 11

12. 5b/4 = 10 + b/4

13. 8c/3 = 18 - c/3

14. 3/(d + 2) = 6

15. 4e/3 = 3e - 10e/6

16. 11f/4 + 13 = 30.625f/7 (clue - multiply everything by (7 x 4))

## Chapter 2-5

Youtube Videos on Solving Absolute Value Equations:

Absolute Value Equations

Absolute Value Word Problems

### Chapter 2-5 Questions:

Questions 14, 18, 26, 28 and 29 on page 106

Questions 48 and 49 on page 107

### Harder Questions: Use a dictionary or translator for any words you don't know.

Question 43a on page 106 and 53 on page 107

## Chapter 2-6

Youtube Videos on Ratios and Proportions:

Basic Examples of Ratios and Proportions

### Chapter 2-6 Questions:

Questions 2, 6 and 8 on page 114

Questions 30, 35, 38 and 39 on page 115

Questions 51 and 53 on page 117

## Chapter 2-7

Youtube Videos on Percent of Change:

Percent of Change

### Chapter 2-7 Questions:

Questions 1, 4, 5, 6, 7, 8, 10 and 13 on page 121

Questions 20, 40, 41 and 43 on page 122

## Chapter 2-8

Youtube Videos on Solving Literal Equations:

Introduction to Literal Equations

More work on literal equations

### Chapter 2-8 Questions:

Questions 2, 4, 5, 12, 14, 15, 21, 22 and 28 on page 128-129

Questions 30 and 33 on page 130

### Extra Questions:

1. Make b the subject of the formula: a + b = c

2. Make b the subject of the formula: a + 3b = 2c

3. Make d the subject of the formula: d - 2e = f + 3

4. Make d the subject of the formula: 2e - 3d = 2(f + 1)

5. Make f the subject of the formula: f/2g = h

6. Make f the subject of the formula: 2/f = g

7. Make h the subject of the formula: 3hj = k

8. Make h the subject of the formula: 4kh = j/k

9. Make k the subject of the formula: bk + ck = y

10. Make k the subject of the formula: 3dk - 2ck = j

11. Make m the subject of the formula: k = c + b/m

12. Make m the subject of the formula: k = d + y/(m + 1)

13. Make n the subject of the formula: g = (1 + 2n)/n

14. Make n the subject of the formula: 3k = n/(n + 1)

15. Make a the subject of the formula: s/t = u + at/2

16. Make v the subject of the formula: u(u) = v(v) - 2as

### Chapter 2-9 Questions:

Questions 1, 2 and 4 on page 135

Questions 7, 11, 14 and 19 on page 137. Finish for homework.

### Please finish for homework (to be done by Sunday 06/10/19):

p136 - q11, 12, 14, 17, 18, 19 (everyone)

Watch chapter 1-2 and 1-3 videos (everyone)

Study for re-test on Monday 07/10/19

Recommended - watch chapter 2-8 videos again...you will need to know how to do this for later chapters!

# Maths Syllabus Chapter 3

## Chapter 3-1 and 3-2

Youtube Videos on Graphing Linear Equations:

Graphing Linear Equations

### Chapter 3-1 and 3-2 Questions:

Questions 23, 27, 32, 37, 39 and 42 on page 160-161

Questions 12, 14, 18, 22 and 37 on page 166

## Chapter 3-3 and 3-4

Youtube Videos on Rate of Change:

Finding the slope of a line

### Chapter 3-3 and 3-4 Questions:

Questions 1, 3, 4, 8, 11, 13 on page 177

Questions 10, 14, 22, 25, 29 and 34-37 on page 185-186

### Chapter 3-5 Questions:

Questions 2, 10, 13, 16, 25, 26, 28, 29 on page 193-194

# Maths Syllabus Chapter 4

## Chapters 4-1 and 4-2

Youtube Videos on Graphing Equations in Slope Intercept Form:

Slope Intercept Form

### Chapter 4-1 and 4-2 Questions:

Questions 17, 20, 23, 27, 36, 50 and 61 on pages 220-222

Questions 19, 24, 29, 32 and 43 on pages 229-230

## Chapter 4-3

Youtube Videos on Writing Equations in Point Slope Form:

Point Slope Form

Point Slope Word Problems

### Chapter 4-3 Questions:

Questions 12, 17, 22, 28, 35, 42, 47 and 48 on pages 236-237

## Chapter 4-4

Youtube Videos on Parallel and Perpendicular Lines:

Equations of Parallel and Perpendicular Lines

### Chapter 4-4 Questions:

Questions 11, 15, 20, 27, 31, 34 on page 243

## Chapter 4-6

Youtube Videos on Inverse Linear Functions:

How to find the inverse of a linear function

### Chapter 4-6 Questions:

Questions 2, 7, 12, 16, 20 and 23 on pages 259-260 (for question 20, look at page 258 if you need help...)

## Chapter 4-7

Graphing Step Functions

Graphing Piecewise Functions

### Chapter 4-7 Questions:

Questions 9, 14, 15, 18, 24, 26, 29, 31, 34, 35 and 44 on pages 267-269

# Maths Syllabus Chapter 5

## Chapter 5-1, 5-2 and 5-3

Solving Linear Inequalities

### Chapter 5-1, 5-2 and 5-3 Questions:

Questions 17, 26, 32, 37 and 46 on pages 290-291

Questions 10, 16, 25, 31 and 33 on page 297

Questions 13, 18, 24, 27, 35, 40, 45 and 47 on pages 303-304

## Chapter 5-4 and 5-5

Youtube Videos on Solving Compound Inequalities:

Compound Inequalities

### Chapter 5-4 and 5-5 Questions:

Questions 6, 13, 16, 23, 28 (harder question), 31 and 33 on pages 310-311

Questions 11, 20, 24, 29 and 30 on page 316

## Chapter 5-6

Youtube Videos on Graphing Linear Inequalities:

Graphing Linear Inequalities in two variables

### Chapter 5-6 Questions:

Questions 12, 16, 23, 29, 30 and 41 on pages 322-323

# Maths Syllabus Chapter 6

## Chapter 6-1 Questions:

Questions 17, 21, 22, 25 and 26 on pages 340-341

## Chapter 6-2 and 6-3:

Youtube Videos on Solving Systems of Equations By Substitution:

Solving By Substitution

## Chapter 6-2 and 6-3 Questions:

Questions 8, 14, 19 and 26 on pages 349-350

Questions 11, 14, 17, 20, 22 and 30 on page 356

## Chapter 6-4

Youtube Videos on Solving Systems of Equations By Multiplication:

Solving By Multiplication

## Chapter 6-4 Questions:

Questions 8, 11, 16, 19 and 26 (challenge) on page 362

## Chapter 6-5 Questions:

Questions 7, 9, 14, 18 and 19 on pages 369-370

## Chapter 6-6

Youtube Videos on Solving Systems of Inequalities:

Solving Systems of Inequalities

## Chapter 6-6 Questions:

Questions 14, 20, 22, 25 and 36 on pages 376-377