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

BODMAS says you multiply before you add a + 2 x b + 3 x c 7 + 2 x 3 + 3 x 5 BODMAS says you multiply before you add 7 + 6 + 15 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.

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 = 120 + 24m Solve the equation to work out m 480 = 24m 20 20 = m

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

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

5 £5 + 100 x 5p £5 + 500p £5 + £5 10 £7.50 - £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

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

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

7c   - 3y

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    

3a 6b + 10   12

  - 4   + 18   + 14    

  + 5

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    

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      

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)

+ 1 + 1 + 1 4 7 9 + 2 + 2 + 2

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

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

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

Multiply the previous term by 2 8 x2 x2 x2 Multiply the previous term by 2 1 , 2 , 4 , 7 +1 +2 +3 Add consecutive integers

+17 +17 47 +15 +15 47 32     = 15 17 47 15