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Copyright © Swun MathCopyright © Swun Math Grade 8 Unit 4 Lesson 3 C TE

Homework

Unit 4 · Lesson 3: Collect Like Terms

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Objective: I will collect like terms to simplify expressions.
Vocabulary Steps
Term: a constant, variable, or a number and
variable, multiplied in an expression and
separated by + or ─
Like Terms: terms that have the same variable,
power or constant
4 a + 5 + 2 a – 3
5 b^2 – 6b + 3b^2
Coefficient: a number used to multiply a variable
Constant: a number on its own in an
expression or equation
Expression Equation Variable
ퟓퟓퟓퟓ풙풙ퟓퟓ−ퟗퟗ풙풙+ퟑퟑퟑퟑ=ퟕퟕ풎풎+ퟖퟖퟓퟓ
Term Coefficient Constant
Collecting Like Terms
4a + 5 + 2a – 3
(a + a + a + a + 5 + a + a – 3)
6a + 2
Collecting Like Terms:
Distributive Property
3(n + 4) + 4(n + 2)
3n + 12 + 4n + 8
7n + 20

1. Expand the expression (if needed).


2. Identify like terms.


3. Reorder the terms.


4. Combine like terms.


5. Simplify.

Example # 1 Example # 2

Directions: Collect like terms to simplify each expression.

5 푥푥 + 2 + 3 푥푥 + 7

Solution:

5 x + 2 + 3x + 7

5 x + 3x + 2 + 7

8 x + 9 Answer: 8x + 9

— 11 푥푥 + 5 — 3 푥푥 — 12

Solution:

—11x + 5 — 3x — 12

—11x — 3x + 5 — 12 Answer: ─14x ─ 7

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