Simplifying Expressions: Discuss: Which of these expressions contain a pair of like terms? How do you know?
Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike In pairs: Decide which expressions contain ONLY like terms
Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike
Like / Unlike Like / Unlike Like / Unlike Like / Unlike
Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike
Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike
Like / Unlike Like / Unlike Like / Unlike Like / Unlike
Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike Your Turn: In your books copy and complete the following:
Mark your work Like / Unlike Like / Unlike Like / Unlike Like / Unlike Like / Unlike
Collecting ‘like’ terms Algebraic expressions can be simplified by collecting like terms " Like terms " are terms whose variables ( and their powers such as the 2 in x 2 ) are the same . The coefficients may be different.
Simplify a a a a a a + a + a + a + a = 5a 5a
And another… 3c + 2c + c = 6c 3c 2c c 6c
And another… 5d 4d d 5c 4d + d + d – d = d -d
And another… 2e 2 e 2 3e 2 e 2 + 2e 2 = 3e 2
And another… 3b b 2a + 3b + 4a + b = 6a + 4b 2a 4a 2a 4a 3b b 3b b 2a 4a 6a + 4b
And another… -3b b -2a - 3b + 4a + b = 2a – 2b -2a 4a
On your whiteboards… Simplify the following expressions by collecting like terms.
4 d + d + 3d 8d
5 d -2d + 3d 6 d
5p + 4q – 2p + q 3p + 5q
5s - t +s + t 6s
2p 2 +3p 2 – 4p 2 p 2
3p q - 4 + 5pq 8pq - 4
Worked Example Your Turn TITLE: Collecting Like Terms 3p 2p Working out: Answer: