Transcript Combining Like Terms
Combining Like Terms Friday, October 26 th , 2012
Objective • The student will be able to simplify algebraic expressions by combining like terms Remember to rate yourself!
x = -5
How does this relate to evaluating expressions?
3
x
4
y
2
y = 8
What are the variables in this expression?
How many terms are there in this expression?
What if we didn ’ t know what
x
and
y
were?
What are like terms?
3
x
4 • What are the terms in this problem?
x
2 • Which ones seem similar? Why?
• How can we simplify this problem, even though we don ’ t know what
x
is?
These pieces of fruit are being put in a basket. How many of each fruit do you see?
Fruit in the basket.
9a 6b 5g 9a + 6b + 5g + 4w 4w
What if we add some more fruit?
9a + 6b + 5g + 4w + 3a + 2b
9a + 6b + 5g + 4w + 3a + 2b or 12a + 8b + 5g + 4w
Could we do this without pictures?
3
x
6 7
x
4 8
x
12 4
x
7
y
5
x
3
y
Practice Time Why did Everybody Hate the Diaper Thief?
• Highlight like terms – Same variable or terms with no variable (called constants) – Combine like terms – Find answer in answer bank
What if we eat some fruit?
4 apples, 5 bananas, 2 watermelon 12a + 8b + 6g + 4w - 4a - 5b - 2w or 8a + 3b + 6g + 2w
Can we combine like terms without pictures?
15a + 2b + 12g + 1w + 5a – 4g + 6w
Simplify the Algebraic Expression (together) 3x + 7y + 4w + 6y – 2x + 5z
Simplify the Algebraic Expression (on own) 10a + 2b + 13c + 3a – 4c + 5b
Practice Time Try • Highlight like terms – Same variable or terms with no variable (called constants) – Combine like terms – Find answer in answer bank