Algebra 1 Structure of Algebraic Expressions Worksheet (PDF)
This algebra 1 expressions worksheet for Algebra 1 covers structure of algebraic expressions (Common Core A-SSE.A.1a, A-SSE.A.1b), with a free PDF to print.
Algebra 1 · Common Core State Standards: A-SSE.A.1a, A-SSE.A.1b
Algebra 1 expressions worksheet: exercises 1 to 10
Exercise 1 – Coefficient of x
Exercise 2 – Count the terms
Exercise 3 – Name the constant
Identify the constant term of \(2x^{2} – 9x + 14\).
Exercise 4 – Factors in a product
Exercise 5 – Evaluate an expression
Exercise 6 – Pick the like terms
Exercise 7 – Combine like terms
Exercise 8 – Distribute a number
Use the distributive property to write \(4(3x – 5)\) without parentheses.
Exercise 9 – Distribute a negative
Exercise 10 – Distribute and combine
Exercises 11 and up
Exercise 11 – Subtract an expression
Exercise 12 – One quantity
Exercise 13 – Taxi fare meaning
A taxi fare in dollars is \(3.50 + 2.25m\), where \(m\) is the number of miles. Explain what \(3.50\) and \(2.25\) mean.
Exercise 14 – Write an expression
Exercise 15 – Gym membership
Exercise 16 – Perimeter
A rectangular garden has length \(3x + 2\) feet and width \(x + 5\) feet. Write a simplified expression for the perimeter, then find the perimeter when \(x = 4\).
Exercise 17 – Bake sale
Exercise 18 – Sale price
Exercise 19 – Patio area
A rectangular garden measures 4 feet by \(x + 7\) feet. A square patio with side \(x\) feet is built next to it. Write a simplified expression for the total area, then find the area when \(x = 5\) feet.
Exercise 20 – Compare two plans
Exercise 21 – Fundraiser tickets
Key facts behind this algebra 1 expressions worksheet
- Terms are separated by + and – signs, and each term keeps its own sign.
- A coefficient multiplies a variable; a constant has no variable.
- Like terms have the same variable part and can be combined by adding coefficients.
- A grouped expression such as (x + 3) can be treated as one factor.
- In a model, a coefficient is often a rate and a constant is a starting amount.
How to use this algebra 1 expressions worksheet
Work through the exercises in order: they go from simple to challenging. Write every step on paper, then compare with the solutions page and redo any exercise you missed the next day.
Download the algebra 1 expressions worksheet as a PDF with the button below and keep it with your notes.
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