
Combining Like Terms
Presentation
•
Mathematics
•
7th - 8th Grade
•
Hard
Joseph Anderson
FREE Resource
12 Slides • 19 Questions
1
COMBINING
LIKE TERMS
* What are some key vocab words?
* How do you identify like terms?
* How do you "combine" like terms?
2
VOCAB REVIEW
Expression
Term
Variable
Coefficient
Constant
Like Term
Combine Like Terms
3
EXPRESSION
A "math problem" that may contain:
Numbers
Letters (variables)
Addition or Subtraction
Multiplication or Division
Exponents
It DOES NOT contain an = sign
(usually gets "simplified", not solved)
4
Multiple Select
1) Which of these can be found in a math expression?
addition
multiplication
exponents
variables
5
TERM
The individual "parts" of an expression
Terms are separated by a + or - sign
The expression below has 4 TERMS:
4x - 2y + 5 - xyz
6
Fill in the Blanks
2) The expression below contains
Type answer...
−3x2+y−2−x3
7
VARIABLE
The LETTER part of a term
'x' is the most commonly used
Represents an unknown value
The value of 'x' will vary/change from problem to problem
VARIABLE TERM - refers to the entire term that contains the variable
8
Multiple Choice
3) In the expression below, what is the 2ND VARIABLE TERM?
2x − 3 −5x2 − 1
2x
-3
−5x2
-1
9
COEFFICIENT
A number connected to THE FRONT OF A VARIABLE TERM
Always include the sign...is it positive or negative?
Every variable has a coefficient, even if you can't see it
Think of the prefix: "co"
EXAMPLE: -2x + 5 - y + 3
The coefficients are: -2 and -1 (invisible)
10
Multiple Select
4) Which of these choices is a COEFFICIENT found in the expression:
−2 −5a + 1 −6b3
-2
5
a
-6
3
11
Multiple Select
5) What is the FIRST COEFFICIENT that appears in the expression:
y +2−4x5y − 3c2
1
y
-4
5
-3
12
CONSTANTS
A number NOT connected to a variable
Always include the sign...is it positive or negative?
Constants can be whole numbers, decimals, or fractions
All constants are like-terms
EXAMPLE: -2x + 5 - y + 3
The constants are: +5 and +3
13
Fill in the Blanks
6) What is the LARGEST CONSTANT found in the expression?
2b5+1 −6a+4.2
Type answer...
14
LIKE-TERMS
Have the EXACT SAME VARIABLE part
The exponents must also match
All constants are like-terms
Positive or negative has no effect
Only like-terms can be "combined"
15
Multiple Select
7) Which of the pairs listed are LIKE TERMS?
2x & 2y
−5x & −2
+3b & +3bc
a2 & a3
NONE
16
Multiple Select
8) Which of the pairs listed are LIKE TERMS?
−3 & −3.25
43x & 21x
−5b2 & +b2
s2t & st2
17
COMBINE
LIKE TERMS
Add or subtract matching pieces
Use the signs IN FRONT
Do NOT combine everything!
Do NOT change exponents!
WARNING: x + y does not become xy
It doesn't combine at all!
18
Multiple Select
9) Which of the pairs listed can be COMBINED?
2x & 2y
−5x & −2
+3b & +3bc
a2 & a3
NONE
19
Multiple Select
10) When COMBINING LIKE TERMS, you can:
add
subtract
multiply
divide
20
21
Complete the following problems in your homework packet as notes:
22
Multiple Choice
Combine like terms:
2x - 4 + 2x - 10
4x + 14
4x + 6
6
4x -14
23
Multiple Choice
Combine like terms:
2x + 3y - 5x - 9y - 8xy -2x
8xy + (-5x) + (-6y)
9x + 12y + 8xy
-19xy
9x + (-6y) + 8xy
24
Multiple Choice
Combine like terms:
2x + 2x + x + x
4x + 2x
6x
4x
25
Multiple Choice
Combine like terms:
8xy + 8x - 6y + 2xy - 10x
10xy - 2x - 8y
10xy + 18x - 6y
2xy
10xy + (-2x) + (-6y)
26
Multiple Choice
Combine like terms:
5x + 5y + x - x + 8x
20xy
13x + 5y
15x + 5y
13x + 7y
27
Multiple Choice
Combine like terms:
x + 4 + x - 2x + 4
4x + 8
2x + 8
12x
8
28
Multiple Choice
Combine like terms:
2x + 3x + 9 + x
5x + 9
14x
6x + 9
15x
29
Multiple Choice
Combine like terms:
-4x - 20 - 20 + 8x
12x + 40
12x
4x + (-40)
-36x
30
Multiple Choice
Combine like terms:
4x + 17 - 5x - 5x + x
5x + 17
12
32x
12x
31
Complete & submit your homework.
Show your work on the paper.
Take a picture and upload to Canvas.
COMBINING
LIKE TERMS
* What are some key vocab words?
* How do you identify like terms?
* How do you "combine" like terms?
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