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7. Copy and complete the table by stating the possible coefficients for the following
algebraic term.

Algebraic term Coefficient Variable

–10abc

5.2 Algebraic Expressions Involving Basic Arithmetic Operations

How do you add and subtract two or more LEARNING CHAPTER
algebraic expressions? STANDARDS
Add and subtract 5
When adding and subtracting two or more algebraic two or more
expressions, gather the like terms first. Then, add or algebraic expressions.
subtract the like terms.

8

Simplify each of the following. • When the ‘+’ sign
(a) (3x + 5y) + (8x – y – 9) which lies before the
(b) (12mn – 4p) + (6 + 7p) – (10mn + p – 2) brackets is removed,
the sign for each term

(a) (3x + 5y) + (8x – y – 9) in the brackets remains
unchanged.
= 3x + 5y + 8x – y – 9 • When the ‘–’ sign which
= 3x + 8x + 5y – y – 9 Gather the like terms. lies before the brackets
is removed, the sign
= 11x + 4y – 9 Simplify the like terms. for each term in the
brackets changes from:
(b) (12mn – 4p) + (6 + 7p) – (10mn + p – 2) ‘+ to –’; ‘– to +’.
= 12mn – 4p + 6 + 7p – 10mn – p + 2 –(a + b) = –a – b
When arranging
= 12mn – 10mn – 4p + 7p – p + 6 + 2 like terms, the –(a – b) = –a + b
operation sign –(–a + b) = +a – b
= 2mn + 2p + 8
which lies before –(–a – b) = +a + b
the term must
Self Practice 5.2a be transferred
together.
1. Simplify each of the following.
(a) (3x – 2y) + (5x + 9y)
(b) (6ab + 2bc + 10) – (ab + 3bc – 2)
(c) (4xy + 5k) – (–3k + 7) + (13xy – k)
(d) (7p – 8q + 6pq) + (q – 2p + pq) – (10pq – p – 4q)
2 1 1
(e) fg – (9mn – fg) + (3mn – fg)
3 2 6
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Algebraic Expressions

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