C2.1 Add and subtract monomials with a degree of 1 that involve whole numbers, using tools.
Activity 1: Addition and Subtraction of Monomials
Add or subtract the 2 terms below comprising monomials with a degree of 1:
a) \(5m + 12m\)
Strategy
I can add the 2 terms, because they are like terms (meaning the variables are the same and have the same degree).
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b) \(34c - 13c\)
Strategy
I can subtract the 2 terms, because they are like terms.
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c) \(14ab + 8m\)
Strategy
I can't add these 2 terms together, because they don't have like terms and therefore it is already in its simplified form.
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d) \(35c - 32a\)
Strategy
I can't subtract these 2 terms because they don't have like terms and therefore it is already in its simplified form.
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Source: translated from En avant, les maths!, 7e année, CM, Algèbre, p. 3-4.
Activity 2: Addition and Subtraction of Monomials
Add and subtract the following monomials:
- \(3a-5a+6a+4a\)
- \(4c+6c+5b-3c\)
- \(2d+7+5e+3-2e+4d\)