1. EVERYTHING YOU NEED TO KNOW TO GET A GRADE C
ALGEBRA
(FOUNDATION)
AUTHOR

2. BODMAS says you multiply before you add
a + 2 x b + 3 x c
7 + 2 x x 5
BODMAS says you multiply before you add 28
a x b x c
Replace the letters with their respective numbers
7 x 3 x 5
105
105 x d = 0
Anything multiplied by zero is zero. So, d must equal zero.

3. 256 2 20 C = 16 + 24 x 10 BODMAS says you multiply before you add
24 months
12 months in a year 2
C = d + 24 x m
600 = m
Solve the equation to work out m
480 = m 20
20 = m

4. 5 x 4 20
2 x 4 + 3y = 5
8 + 3y = 5
3y = -3 -1 13
3 x
12 + 1

5. 6 16 Replace p with 4 and q with -7 5 x 4 + 2 x -7 20 - 14
Replace p with 4 and q with -7
5 x x -7 6
Replace u with 5 and v with 3
5 x 5 – 3 x 3
25 – 9 16

6. 5
£ x 5p
£ p
£5 + £5 10
£ £5
= £2.50
Cost for calls after £5 a month charge has been taken off
Cost for calls after £5 a month charge has been taken off
Minutes of calls =
Cost per minute for calls 50

7. Perimeter is the length around a shape
+ 6y
56 + 6y = 68
Solve the equation to work out the value of y
6y = 12 2
y = 2

8. + 7y 6 16 Replace p with 4 and q with -7 5 x 4 + 2 x -7 20 - 14
+ 7y
Replace p with 4 and q with -7
5 x x -7 6
Replace u with 5 and v with 3
5 x 5 – 3 x 3
25 – 9 16

9. 7c
- 3y

10. Remember a minus and a minus is only a plus when you multiply, divide or when the signs are together. When you add or subtract you use a number line.
12a
- 3b

11. 3a 6b
+ 10 12

12. - 4
+ 18
+ 14

13. + 5

14. When you multiply powers with the same base you can just add the powers
a x a x a x a x a x a
When you divide powers with the same base you can just subtract the powers
b x b x b x b x b x b x b x b x b
b x b x b 1

15. When you multiply powers with the same base you can just add the powers
y x y x y x y x y x y x y x y
y x y x y x y x y
When you divide powers with the same base you can just subtract the powers

16. When you have powers and brackets you can just multiply the powers
When you multiply powers with the same base you can just add the powers
y x y x y x y x y x y x y x y x y
y x y x y x y x y x y x y
y x y
When you divide powers with the same base you can just subtract the powers
When you have powers and brackets you can just multiply the powers
A negative number to the power of an even number makes a positive
Part (iii)
As you multiply a decimal by itself more times the number becomes smaller
Part (ii)

17. + 1
+ 1
+ 1 4 7 9
+ 2
+ 2
+ 2

18. Add 3 to the previous term+3 +3 +3 +3 16
Add 3 to the previous term

19. 5 x 3 - 1
14 x 3 - 1 14 41
5 x 1
5 x 2
5 x 3
5 x 4 10 15 20
1st term
2nd term
3rd term
4th term
+ 4 +3 +3 +3 +3 3n
+ 4

20. 64 13 26 +3 +4 +5 +6 +7 16 x 4 10 dots 7 dots 1 dot 4 dots Sequence
Pattern 4
Sequence
1, 4, 7, 10
Sequence goes up in threes 13 +3 +4 +5 +6 +7 26

21. Multiply the previous term by 28 x2 x2 x2
Multiply the previous term by 2
1 , 2 , 4 , 7 +1 +2 +3
Add consecutive integers

22. +17
+17 47
+15
+15 47 32
= 15 17 47 15