Moving Straight Ahead Lesson 3: More with Combining Like Terms.
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Transcript of Moving Straight Ahead Lesson 3: More with Combining Like Terms.
EQ: How can I combine like terms that have multiple variables and/or
exponents?
• Sometimes an expression includes terms that have multiple variables and/or exponents
• Steps to simplify:• 1. Identify like terms (the variables and
exponents behind the coefficients must match exactly)
• 2. Combine like terms (by adding the coefficients)
3xy2 – 4x + 12x2 + 4xy2 -2x
1st Step: Identify the Like Terms
2nd Step: Combine Like Terms
Example
1:
-7a2b – 2ab2 + 8a – 6ab2 – 3a
1st Step: Identify the Like Terms
2nd Step: Combine Like Terms
Example
2:
Try These:
1. -10t2 + 4s3t – 9t3 -2t2 + 12t3 - 4s3t
1. p2 + 2r3 – 17p2 –r3 + rs -10rs + r3
1. 14xy4 + 17xy – 14xy + 3xy3 – 2xy4 -12xy3 + 5xy2
EQ: How can I use the distributive property to
simplify algebraic expressions?
Review:
What is the distributive property?
Simplify the expression using the distributive property.
4(3x + 5) =
-2 (4 – x) =
What do you do if…There is a negative number being distributed?
Let’s find out! Here’s an example…
- ( 4x – 5y) (- 1)(4x) – (-1)(5y)
ANSWER: -4x +5y
Adding and Subtracting Linear Expressions
Step 1: Distribute any negatives and/or terms outside the parentheses
Step 2: Identify Like Terms
Step 3: Combine Like Terms
EXAMPLE:
(3b + 4a) – (2b – 8a)
Answer: 12a + b
Don’t forgetto distribute the negative
before combining like
terms
Let’s practice…
1. (-4c + 2d) + ( 2c – 5d)
1. (8m + 12 v) - (10 m – 5v)
Don’t forgetto distribute the negative
before combining like
terms