1. Friday, November 6, 2015 Adding & Subtracting Linear Expressions
+ & ‒

2. term – the product of a coefficient and variables that may have exponents
terms: 4x2y ½ab –3.7n x
like terms – terms with the exact same variable(s) to the same power(s)
like terms: x and 3x 7y2 and –18y a2bc4 and 26a2bc4
not like terms: x and 3 7y2 and –18y 5a2b and 26a2b2
linear expression – an algebraic expression in which the exponent of the variable is 1

3. 0a) y + 5 linear b) 2a ‒ 3 c) 2a2 + 9 linear d) 10 ‒ y2 non-linear
Determine if the following expressions are linear or non-linear.
0a) y + 5
b) a ‒ 3
c) a2 + 9
d) ‒ y2
linear
linear
non-linear
non-linear

4. To find the sum of linear expressions, distribute, then combine like terms.
(2x – 2) + (5x + 5)
2x – 2 + 5x + 5 7x
+ 3
2) (‒6y + 9) + 3(y ‒ 4)
‒6y y ‒ 12
‒3y
‒ 3
Find common denominator of coefficients to add these terms.

5. Distributing Negatives
A negative sign outside the parentheses is like multiplying by negative one→changes the sign of all terms in the parenthesis.
‒(3x + 2) =
‒1(3x + 2) =
‒3x ‒ 2

6. To find the difference of linear expressions, distribute, then combine like terms.
BEWARE OF DISTRIBUTING NEGATIVES!
4) (4x – 1) ‒ (3x + 5)
4x – 1 – 3x – 5 x
– 6
5) (‒8y + 7) – 2(y ‒ 4)
‒8y + 7 – 2y + 8
‒10y
+ 15
Find common denominator of these terms to combine.