MathematicsFreePrintable

Parts of Expressions

A free mathematics worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Parts of Expressions worksheet preview
Name:Date:

Parts of Expressions

Read each expression carefully. Identify its terms, coefficients, constants, factors, and operation. Show your thinking where asked.

Decode the Snack Cart

A snack cart uses algebra to track orders. In the expression 4b + 3, b is the number of bags of pretzels, each bag costs $4, and $3 is the cost of a drink.

1.In 4b + 3, how many terms are there? Write each term.
2.In the term 4b, which number is the coefficient, and what does it tell us in the snack-cart story?
3.What is the constant in 4b + 3, and what does it represent in the story?

Build and Sort Expressions

Remember: terms are separated by addition or subtraction signs. A factor is something multiplied by another factor. A coefficient is the number multiplying a variable.

4.Which expression has a product of a number and a variable as one of its terms?
  • 8 + 2
  • 5m − 6
  • 7 × 3 + p
  • 18 ÷ 2
5.In 3(x + 5), name the factors of the product and the terms inside the parentheses.
6.In 6a + 2c − 11, list every coefficient and the constant.
7.True or false: In 9 + 2k, the number 9 is a coefficient.
TrueFalse
8.Choose all true statements about 4x + 12 ÷ 3 − 5y.
  • It has three terms.
  • The coefficient of x is 4.
  • 12 ÷ 3 is a quotient.
  • The coefficient of y is 5.
  • The constant term is 12.
9.Write a two-term expression with a coefficient of 6 and a constant of 12. Use any variable you like.

Solve the Cart Puzzle

The cart's total cost for pretzels and a drink is 4b + 3 dollars. Use the expression to finish the final challenges.

10.If b = 5, evaluate 4b + 3. Show the substitution and calculate the total cost.
11.In your own words, explain the difference between a term and a factor. Give an example from 4b + 3.

2 printable pages

  • Parts of Expressions, page 1 of 2: Decode the Snack Cart, Build and Sort Expressions

    Page 1

  • Parts of Expressions, page 2 of 2: Solve the Cart Puzzle

    Page 2

About This Worksheet

Free in Kuraplan

Sign up free, grab the PDF, and customize it for your class.

Print-Ready

Formatted for standard paper. Clean layout, easy to read.

AI-Generated

Created with Kuraplan's AI, designed for real classroom use.

For Teachers & Parents

Use in classrooms, for homework, tutoring, or homeschool.

Need a custom version of this worksheet?

Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.

Generate Custom Worksheets — Free
No credit card Curriculum-aligned Under 60 seconds