Targeting Grade C

1
GCSE Mathematics
Targeting Grade C
Unit 1 Algebra 1
2
TOP 1 Review 1 - collecting like terms
Practice 1 Multiplying a bracket by a whole
number or letter Practice 2 Expand the
brackets and simplify the expression by
collecting the like terms TAIL 1 Practice 3
Multiplying and dividing indices in algebra TOP
2 Review 2 substituting numbers for
letters TAIL 2

• Can you
• Simplify linear expressions
• Use brackets in Algebra
• Try
  a test
• Understand the rule of indices
• Use substitution in expressions
• Try
  a test

If not you need
3
Are you ready for the answers ?

• TOP 1 Simplify
• (i) 3g 5g
• (ii) 3x y - x 2y
• (2)
• (b) 4a 9b 3a 5b
• 
  
• (1)
• (c) 3p q 2p 2q
  
• (2)
• 2w 4v 3w 2v
• (1)
• 3x² - 2x x² x
  
  
  (1)
• (Total 7 marks)

8g
2x 3y
a 4b
p - q
-2v -w
4x² - x
Lesson
4
Are you ready for the answers ?

• Practice 1 Expand the brackets
• (a) (i) 7(n 3)
• (ii) 4(2x 3)
•   (iii) p(q 2p)
•  
• Multiply out (3)
• 5(2y 3)
• (1)
• (c) x(2x y)
• (2)

7n - 21
8x -12
pq 2p²
10y - 15
2x² xy
Lesson
5
Are you ready for the answers ?

• Practice 2 Expand and simplify
• (i) 4(x 5) 3(x 7)
• (2)
• (ii) 5(3p 2) 2(5p 3)
• (2)
• (iii) (t 4)(t 2)
• (2)
• (iv) (x 3y)(x 2y)
• (2)

4x 9 3x -21 7x - 12
15p 10 - 10p 6 5p 16
t² - 2t 4t -8 t² 2t -8
x² 2xy 3xy 6y² x² 5xy 6y²
Lesson
6
Are you ready for the answers ?
TAIL 1
1
2
3
4
5
6
7
8
9
10

• e f e 2f

2x² 2x 3x² - x
2(a b)
5(2d 2e)
x(x y)
a(3a 2b)
3(x y) 2(x 2y)
5(3x 2) 3(4x 3)
(x 3)(x - 2)
(2a b)(3a 2b)
Answers
7
TAIL 1
1
2
3
4
5
6
7
8
9
10

• e f e 2f

2e 3f
5x² x
2x² 2x 3x² - x
2(a b)
2a 2b
5(2d 2e)
10d 10e
x(x y)
x² xy
a(3a 2b)
3a² 2ab
5x - y
3(x y) 2(x 2y)
5(3x 2) 3(4x 3)
3x 19
(x 3)(x - 2)
x² x - 6
Lesson
(2a b)(3a 2b)
6a² - ab 2b²
8
Can you remember the rules of indices (or
powers)?When MULTIPLYING, you ADD the powers.
e.g. 3¹ X 3² 3³When DIVIDING, you
SUBTRACT the powers. e.g. 4³ 4² 4¹..
and for few more click mouse

• Anything to the POWER 1 is just ITSELF. e.g. 5¹
  5 x¹ xAnything to the POWER 0 is just
  1. e.g. 6º 1 xº 1
• When RAISING one power to another, you MULTIPLY
  the powers. e.g. (3²)³ 36 (45)² 4¹0

Now try some questions
9
Are you ready for the answers ?

• Can you Simplifying indices?
• Write down your solutions to
• 1. k³ k²
• 2. p² p3
  
•  
• p² p² p²
  
• x8 x³
  
  
• x6
  
• x4
• a7 x a3
  
• x² x x³
  
• x²
• (7)

k¹
p5
3p²
x¹¹
x²
a¹º
x³
Lesson
10
Are you ready for the answers ?

• By using substitution answer the following
  questions
• (i) Work out the value of 2a ay when a 5 and
  y 3
•  
•  
• (2)
• (ii) Work out the value of 5t² - 7 when t4
• Work out the value of 5x 1 when x 3
• (iv) Work out the value of D when
  (4)
• D ut 2kt
• If u 5
• t 1.2k 2

-5
73
-14
1.2
Lesson
11
TAIL 2
Are you ready for the answers ?
2p 3q

• Simplify 3p q p 2q
• Simplify 3y² - y²
• Simplify 5c 7d 2c 3d
• Simplify 4p x 2q
• Simplify x³ x³

2y²
3c 4d
8pq
2x³
Some more questions
12
Can you work out the answers to these?1. 3¹

2. 8º

3. (2³)4


4. (4² x 4¹) (2³ x 2²)

Are you ready for the answers ?
3
1
2¹²
2
Lesson