2. Main Idea and New Vocabulary
Example 1: Identify Parts of an Expression
Example 2: Simplify Algebraic Expressions
Example 3: Simplify Algebraic Expressions
Example 4: Real-World Example
Lesson Menu

3. Simplify algebraic expressions.
term
coefficient
like terms
constant
Main Idea/Vocabulary

4. Identify Parts of an Expression
Identify the terms, like terms, coefficients, and constants in the expression 3x – 5 + 2x – x.
3x – 5 + 2x – x = 3x + (–5) + 2x + (–1x) Rewrite the expression.
Answer:
• terms: 3x, –5, 2x, and –x
• like terms: 3x, 2x, and –x
• coefficients: 3, 2, and –1
• constant: –5
Example 1

5. Identify the terms, like terms, coefficients, and constants in the expression n – 4 + 7n – 6n.
A. terms: n, –4, 7n, –6n; terms: like terms: n and 7n; coefficients: 1, 7, and –6; constant: –4
B. terms: n, –4, 7n, –6n; like terms: n, 7n, and –6n; coefficients: 1, 7, and –6; constant: –4
C. terms: n, 4, 7n, 6n; like terms: n, 7n, and –6n; coefficients: 1, –4, 7, and –6; constant: –4
D. terms: n, 4, 7n, 6n; like terms: n, 7n, and –6n; coefficients: 1, –4, 7, and –6; constant: none
Example 1 CYP

6. Simplify Algebraic Expressions
Write the expression 6n – n in simplest form.
6n and n are like terms.
6n – n = 6n – 1n Identity Property; n = 1n
= (6 – 1)n Distributive Property
= 5n Simplify.
Answer: 5n
Example 2

7. Write the expression 10w + w in simplest form.
A. 10w
B. 11w
C. 10w + 1
D w
Example 2 CYP

8. Simplify Algebraic Expressions
Write the expression 8z + z – 5 – 9z + 2 in simplest form.
8z, z, and –9z are like terms. –5 and 2 are also like terms.
8z + z – 5 – 9z = 8z + z + (–5) + (–9z) + 2 Definition of subtraction
= 8z + z + (–9z) + (–5) + 2 Commutative Property
= [ (–9)]z + (–5) + 2 Distributive Property
Example 3

9. Simplify Algebraic Expressions
= 0z + (–3) Simplify.
= 0 + (–3) or –3 0z = 0 • z or 0
Answer: –3
Example 3

10. Write the expression 4t + 3 – t + 7 in simplest form.
A. 5t + 10
B. 4t – 4
C. 3t + 10
D. 3t – 4
Example 3 CYP

11. GROCERIES Manfred buys some boxes of cereal for $4
GROCERIES Manfred buys some boxes of cereal for $4.85 each and the same number of bags of pretzels for $2.90 each. Write an expression in simplest form that represents the total amount spent.
Example 4

12. 4.85x + 2.90x = (4.85 + 2.90)x Distributive Property = 7.75x Simplify.
Answer: The expression $7.75x represents the total amount spent.
Example 4

13. MOVIES Each person in a group buys a movie ticket for $7
MOVIES Each person in a group buys a movie ticket for $7.50 and a tub of popcorn for $3.80. Write an expression in simplest form that represents the total amount spent.
A. $11.30
B. $11.30x
C. $7.50x + $3.80
D. $ $ x
Example 4 CYP