6.AT.B.6.b · Unit 0

🧩 Naming the Parts of an Expression

Learning goal: I can identify parts of an expression using the words sum, term, product, factor, quotient, and coefficient.

Language goal: I can describe an expression using the math words term, factor, and coefficient.

📚 Vocabulary

Term: A part of an expression separated by + or −. In 3x + 7, the terms are 3x and 7.

Coefficient: The number multiplied by a variable. In 3x, the coefficient is 3.

Factor: Numbers or expressions multiplied together. In 4(x+2), the factors are 4 and (x+2).

Sum / Product / Quotient: The result of adding / multiplying / dividing.

Break an expression at every + and − sign to find its terms.

Inside a term, the number multiplying the variable is the coefficient; the things being multiplied are factors.

Name the whole expression by its last operation: 3x + 7 is a sum; 4(x + 2) is a product; x ÷ 5 is a quotient.

Worked example. Describe the parts of 3x + 7.

Two terms: 3x and 7.
In the term 3x: 3 is the coefficient and x is the variable; 3 and x are factors.
The whole expression is a sum (its last operation is addition).

Score: 0 / 5

1. How many terms are in 5y + 2 ?

💡 Count the parts separated by + or −.

2. In 5y, what is the coefficient?

💡 The number multiplied by the variable.

3. The expression 4(x + 2) is best described as a…

💡 Its outer operation is multiplication of two factors.

4. How many terms are in 8a + 3b − 6 ?

💡 8a, 3b, and 6.

5. In 8a + 3b − 6, the coefficient of b is…

💡 Find the number multiplying b.

For the expression 7m + 4, name the two terms and state the coefficient of m.