1. We will add and subtract expressions.
Learning Objective
We will add and subtract expressions.
NAME: ___________________________
Thursday January 8, Period: ___
7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Concept Development
Identify variable terms (underline) and constant terms (circle) in the expressions.
1. ( 3x + 6 ) + ( 7x + 11 )
2. ( 9d + 40) + ( 5d + 8 )
What are variable terms?
What are constant terms?
What is a coefficient?
CFU

2. (3x + 6) + (-5x - 11) -2x - 5 (4d + 10) + (6d + 5) 10d + 15
Concept Development
Like terms are terms with the same variables raised to the same power.
Adding and subtracting expressions means to combine1 like terms.
Adding and subtracting expressions produces2 equivalent3 expressions.
Adding and Subtracting Expressions
Animated
(3x + 6) + (-5x - 11) and -2x - 5 are
equivalent expressions.
(3x + 6) + (-5x - 11)
-2x - 5
3x and -5x are like terms.
3x and -5x are like terms.
6 and -11 are like terms.
6 and -11 are like terms.
Which terms will be added together when adding the expressions (3y + 9) + (5y - 11)?
How do you know?
A 3y + 5y
B 3y + 9
C (-11)
D 5y + (-11)
CFU
(4d + 10) + (6d + 5) and 10d + 15 are
equivalent expressions.
(4d + 10) + (6d + 5)
10d + 15
4d and 6d are like terms.
4d and 6d are like terms.
10 and 5 are like terms.
10 and 5 are like terms.
1 put together
2 makes
3 equal value
Vocabulary

5. 3x and -5x 6 and -11 3a - 9 2y + 4 7a + 8 5y - 10 10a - 1 7y - 6
Skill Development/Guided Practice
Adding and subtracting expressions is to combine like terms.
Adding and subtracting expressions creates equivalent expressions.
How did I/you rewrite the expressions?
How did I/you combine like terms?
CFU 1 2
Rewrite the addition or subtraction problem vertically. Hint: Line up like terms.
Combine like terms. Hint: Add or subtract each like term.
Interpret4 equivalent expressions. “____ is equivalent to ____”
Add and subtract expressions. 1 2 3
Like Terms
3x and -5x
6 and -11
1. (3a - 9) + (7a + 8)
2. (2y + 4) + (5y - 10)
3. (5d + 7) + (11d - 5)
4. (4p - 9) + (9p + 6)
3a - 9
2y + 4
7a + 8
5y - 10
10a
- 1 7y
- 6
“(3a – 9) + (7a + 8) is equivalent to 10a – 1”
“(2y + 4) + (5y – 10) is equivalent to 7y – 6”
5d + 7
4p - 9
4 explain
Vocabulary
+ (11d - 5)
+ (9p + 6)
16d
+ 2
13p
- 3
“(5d + 7) + (11d – 5) is equivalent to 16d + 2”
“(4p – 9) + (9p + 6) is equivalent to 13p – 3”

6. Skill Development/Guided Practice (continued)
Adding and subtracting expressions is to combine like terms.
Adding and subtracting expressions creates equivalent expressions.
Rewrite the expressions as the sum of all terms.
Identify like terms in the expressions. (underline and circle)
Combine like terms. Hint: Add each like term.
Interpret equivalent expressions. “____ is equivalent to ____”
Add and subtract expressions. 1 2 3 4
How did I/you rewrite the expressions?
How did I/you identify like terms?
How did I/you combine like terms?
CFU 1 2 3
Like Terms
3x and -5x
6 and -11
5. (8k - 2) + (4k + 6)
6. (5m + 6) + (-10m + 7)
7. (11b + 5) + (-12b - 2) + (4b - 3)
8. (4q + 5) + (9q - 1) + (-12q + 13)
8k + (-2) + ( 4k ) + (6)
5m (-10m) + 7
12k
+ (4)
-5m
+ 13
“(8k – 2) + (4k + 6) is equivalent to 12k + 4”
“(5m + 6) + (-10m + 7) is equivalent to -5m + 13”
11b (-12b) + (-2) + (4b) + (-3)
4q ( 9q) (-12q) + 13 3b
+ 0 1q
+ 17 3b
“(11b + 5) + (-12b – 2) + (4b - 3)
is equivalent to 3b”
“(4q + 5) + (9q – 1) + (-12q + 13)
is equivalent to 1q + 17”

7. __________________________________________________________________
Skill Development/Guided Practice (continued)
How did I/you determine what the question is asking?
How did I/you determine the math concept required?
How did I/you determine the relevant information?
How did I/you solve and interpret the problem?
How did I/you check the reasonableness of the answer?
CFU 2 1 3 4 5
9. What is the perimeter5 of the trapezoid?
__________________________________________________________________
10. What is the perimeter of the triangle?
4m - 2
6n + 3 3m 7
4n + 1
4m + 5
5n - 5
(4m - 2) + (7) + (4m + 5) + (3m)
(6n + 3) + (4n + 1) + (5n - 5)
4m + (-2) m m
6n n n + (-5)
11m
+ 10
15n
- 1
The perimeter of the trapezoid is 11m + 10.
The perimeter of the triangle is 15n - 1.
5 distance around
Vocabulary

8. 3x and -5x 6 and -11 (3m + 1) + (4m + 2) Jasmine’s Answer: 10m
Adding and subtracting expressions is to combine like terms.
Adding and subtracting expressions creates equivalent expressions.
Skill Closure
Rewrite the expressions as the sum of all terms.
Identify like terms in the expressions. (underline and circle)
Combine like terms. Hint: Add each like term.
Interpret equivalent expressions. “____ is equivalent to ____”
Add and subtract expressions. 1 2 3 4
Like Terms
3x and -5x
6 and -11
1. (-3z - 1) + (7z + 6)
2. (11u + 7) + (9u - 1)
-3z + (-1) + (7z) + 6
11u ( 9u ) + -1 4z
+ 5
20u
+ 6
“(-3z – 1) + (7z + 6) is equivalent to 4z + 5”
“(11u + 7) + (9u – 1) is equivalent to 20u + 6”
Access Common Core
Jasmine made an error in adding the expressions below. Describe and correct the error she made.
(3m + 1) + (4m + 2)
Jasmine’s Answer: 10m
Jasmine combined all terms instead of only like terms.
Summary Closure
What did you learn today about adding and subtracting expressions? (Pair-Share)
Please use the following vocabulary: Constant, Variable, Equivalent Expressions, Combine Like Terms

9. 3x and -5x 6 and -11 The perimeter of the triangle is 6n + 1.
Independent Practice
Adding and subtracting expressions is to combine like terms.
Adding and subtracting expressions creates equivalent expressions.
Rewrite the expressions as the sum of all terms.
Identify like terms in the expressions. (underline and circle)
Combine like terms. Hint: Add each like term.
Interpret equivalent expressions. Hint: “____ is equivalent to ____” or Answer the question.
Add and subtract expressions. 1 2 3 4
Like Terms
3x and -5x
6 and -11
1. (12k - 9) + (2k + 5)
2. (10h + 12) + (7h - 3)
3. (8d + 1) + (13d + 3)
12k + (-9) + 2k + 5
10h ( 7h) + -3
14k
+ (-4)
17h
+ 9
14k - 4
“12k – 9 + (2k + 5) is equivalent to 14k – 4”
“10h + 12 – (7h – 3) is equivalent to 3h + 15”
4. What is the perimeter of the triangle?
8d ( 13d) + ( 3)
21d
+ (4)
3n - 2
2n - 10
n + 13
(n + 13) + (2n - 10) + (3n - 2)
n n + (-10) + 3n + (-2) 6n
+ 1
“8d + 1 – (13d + 3) is equivalent to -5d – 2”
The perimeter of the triangle is 6n + 1.