Amazing Algebra

Below are a variety of questions relating to the areas you have been learning within our Algebra topic. Please remember to show ALL working for each question.  This exercise should be completed in your Maths homework jotter for Friday 27th January.

Writing Algebraic Expressions

Example: p multiply by 5 add 7 = 5p + 7

(1)  m multiply by 8 add 7

(2)  y multiply by 9 subtract 3

(3)  t multiply by 3 subtract from x

(4)  2 multiply by x subtract from 18

Gathering “like” Terms  

Example: 3a + a + 6b – 2b = 4a + 4b

(5)   4a + 8a                (6)   6d + 4c – 2d         (7)   3b – b + 7c + 2c

(8)   c + 9d + 8c – 6d            (9)   4m + 4m – 8c + c     (10)    9y – 8x + 3z – y

Substituting

Example: 22 – a = 22 – 10

a = 10         b = 7          c = 8

(11)   a + 10                 (12)   a + b + c              (13)   45 + c – a

(14)   8a – 45               (15)  2bc – a

Solving Equations

Example: y + 4 = 10

y + 4 – 4 = 10 – 4

     y = 6

(16)   a + 15 = 26                  (17)   4b = 16                (18)   n – 15 = 37

(19)   125 ÷ t = 5                   (20)   10c = 200