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e) 3x + 4 - 2x - 8 = 3a: + 4 - 2x - 8 Find the like terms
= 3x - 2a: + 4 - 8 Group the like terms
= 1a:-4
= X - 4 x is the same as 1a:

f) 8a + 96 + 10c - 5 + 8b - 2a - 6c

= Ba - 2a + 96 + 86 + 10c - 6c - 5 Group the like terms
= 6a + 176 + 4c - 5 Simplify

Example 6

Complete the algebraic pattern.

5x 4x 2x

Solution
To find the expression
in each block you add Sx + 4x = 9x 9x 6x 4a: + 2a: = 6x
the expressions in the
5x 4x 2x
two blocks below it.
15x 9x + 6x= 15x
9x 6x
5x 4x 2x

Check My
Understanding

O state true or false for each statement. If the answer is false, give the correct answer.
a) 2a + 5a = 6a b) 7x + 5x = 12x
c) 2d+ 5d+ 8d= 15d d) 14t + 7t-5=16c
e) 2a + 36 = 5a6 f) 96 + 6 + 46 -2= 136 +4
O Simplify these expressions where possible,

a) 5a + 4a b) 8d -3d
8
c) 2a + 36 d) 6a + 2a +
e) 9ki ~ 3ld f) 8t + 7t + 85 + 25
g) 12^ + 4g + 6k - 2k h) 13a + 2 + 2a-l
i) 13a6 — 3a + Sab j) 7xy + 2x + 3y - 2xy + y - 3y +

k) 3a6c + 66c + 7b — 46c + 9-26 I) 4y + 16 + 5y + 2xyz - 9 — xyz
m) 16mn + 30 + 15m - 12mn - 15 - 3m + 2n — 3mn
n) 5x + 2Sxy + 6 + JSxyz — 2x + 14 - 3x + lOxy

52^ UNIT 3 I Introduction to Algebra and Equations