Section 4.2c
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Transcript Section 4.2c
4.2c – Solving Equations
Distributing and Combining Like Terms
Definitions of the Day (DODs)
• Distributive Property
• Like terms
Definition: Distributive Property –
For all real numbers a, b, and c
Distributive Property
a b c ab ac
b c a ba ca
a b c ab ac
b c a ba ca
Attention!!! Only distribute multiplication
over addition and subtraction.
Definition: Like Terms –
Terms that have:
1) The same variables…. and
2) The variables have the same
exponents.
Three Simple Steps to
Equation Solving Success
1. Distribute and combine like terms.
2. Decide:
variable on the left (of “=”) or variable on the right
(there is no one right answer…just decide!!)
3. Using inverse operations, move the variable to one
side of the “=” and everything else to the other side.
SOLVE EACH EQUATION
a) 5 4 x 9 2 10 x 8
SOLVE EACH EQUATION
b) 15x 7 x 9 12 3x 12 92
Your Turn!!
1. Solve:
a)
b)
4 x 3 10 x 8
44 2 3x 1 2 3x 1 4 10 3x
Sentence Frames
1.
Like terms are terms with …
____________________________________________
____________________________________________
____________________________________________
2.
The distributive property distributes ______________
over ______________ and ___________________