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

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

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

5 x x 4 + 3y = y = 5 3y = -3 3 x

Replace p with 4 and q with -7 5 x x Replace u with 5 and v with 3 5 x 5 – 3 x 3 25 – 9 16

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

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

+ 7y Replace p with 4 and q with -7 5 x x Replace u with 5 and v with 3 5 x 5 – 3 x 3 25 – 9 16

7c - 3y

12a - 3b 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.

3a 6b

+ 5

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

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

y x y x y x y x y x y x y x y x y 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 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 Part (iii) A negative number to the power of an even number makes a positive As you multiply a decimal by itself more times the number becomes smaller Part (ii)

+3 16 Add 3 to the previous term

3n+ 4 5 x x st term 5 x 1 2 nd term 5 x rd term 5 x th term 5 x

16 x 4 64 Pattern 4 Sequence 1, 4, 7, 10 1 dot4 dots 7 dots 10 dots Sequence goes up in threes

x2 8 Multiply the previous term by 2 Add consecutive integers 1, 2, 4,

=

, 8, 11, 14, n + 2 3n + 2Nth term 3 x

a = b = c = 14 c = 7 7

= =

15 2y + 3y = 5y 5y = 20 y = 4 4

w = y > 9 Any whole number greater than 9 10

3 2y+ 10 = 28 2y = 18 y = 9 9 Always get rid of the smallest valued letter first when you have letters on both sides. 10z + 2 = 9 10z = 7 0.7

4 6 8z = 16 z = 2 2 3w - 6 = 9 3w = 15 w = 5 5

5 x y- 2= 18 8y =

Too big Too big Too small Too small 2.4

Comment 3 3(3 - 1)(3 + 2) = 30 Too small 4 4(4 - 1)(4 + 2) = 72 Too big ( )( ) = Too big ( )( ) = Too big ( )( ) = Too big ( )( ) = Too small ( )( ) = Too small 3.3

Comment 2 6 Too small 3 24 Too big Too small Too small Too small Too big Too small 2.9

Comment Too small Too big Too small Too big Too big 8.8

-1, 0, 1

4

S - 40 = 3t 3t < 30 t < 10

y = 2 x y = 2 x Plot the coordinates from the table above

2 2 y = -1 x y = Plot the coordinates from the table above

Have to make your own table to find the co-ordinates. 4 y = 2 x y = 2 x Plot the coordinates from the table above y =

Option – 300 = 200 minutes to pay for 200 x 6p = 1200p = £ – 100 = 150 texts to pay for 150 x 10p = 1500p = £15 Total Cost = £12 + £15= £27 Option – 100 = 400 minutes to pay for 400 x 6p = 2400p = £24 Texts are free so no texts to pay for Total Cost= £24 Option 2 ( cheaper) Where the line crosses the y-axis = £0.05 5

– 27 = 8 metres Yes, he must increase his gap by 8 approximately metres

Stop 10 The steeper the line the faster the speed

8 Stationary ( not moving) 16 8

2pm Time = 0.6 hours Time = 0.6 x 60 ÷ x = 36 minutes 2pm – 36 minutes 1:24pm