Algebraic Expressions Intro

Name:

Date:

📚 Part 1: Vocabulary and Understanding

1. Match each vocabulary word with its correct definition by writing the letter in the circle:

Variable:

A. A number multiplied by a variable

Coefficient:

B. A symbol (letter) that represents an unknown number

Term:

C. A math phrase with numbers, variables, and operations (no equals sign)

Expression:

D. A single number, variable, or numbers and variables multiplied together

2. Look at the expression: 4x + 7. Circle the correct answers:

The variable is x

The coefficient is 4

There are 2 terms

The number 7 is called a constant

3. Write an algebraic expression for each word problem:

a) Sarah has n stickers and buys 12 more. Total stickers: _______________

b) A box holds 6 cookies. Number of cookies in b boxes: _______________

c) Tom has $20 and spends d dollars. Money left: _______________

4. Create a word problem for the expression 3m + 5:

5. Evaluate each expression when x = 6. Show your work:

a) 2x + 3 = _______________

b) 5x - 10 = _______________

6. Challenge Problem: Write an expression for "4 fewer than twice a number y":

Expression: _______________

Now evaluate your expression when y = 8: _______________