Algebra 1 Structure of Algebraic Expressions Test with Point Values (PDF)

Algebra 1 math test: Structure of Algebraic Expressions – Maths PDF

This algebra 1 expressions test 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 expressions test (Algebra 1) – first page of the printable PDF
This 45-minute test on algebraic expressions covers Common Core A-SSE.A.1 and is worth 20 points. Work alone, show all steps, and use a calculator only if your teacher allows it. Partial credit is given for correct work, so write down your reasoning even when you are unsure of the final answer.

Time and points

About this test
  • Grade: Algebra 1
  • Chapter: Structure of Algebraic Expressions
  • Standards: A-SSE.A.1a, A-SSE.A.1b
  • Time: 45 minutes
  • Total: 20 points

Algebra 1 expressions test: questions

Question 1 – Parts of an expression [2 pts]

6x²– 7x+ 12
Expression for question 1.

Use the expression \(6x^{2} – 7x + 12\).

  1. Identify the constant term. (1 point)
  2. Identify the coefficient of \(x\). (1 point)

Question 2 – Evaluate [2 pts]

Evaluate \(2x^{2} – 3x + 1\) when \(x = -3\).

Question 3 – Combine like terms [2 pts]

Simplify \(9a – 4 + 2a + 10\).

Question 4 – Distribute and subtract [2 pts]

Simplify \(5(2x – 3) – 4(x – 1)\).

Question 5 – Streaming plan [2 pts]

Weeks wCost 9.99 + 2.5w1$12.492$14.994$19.99
Streaming plan cost.

A streaming plan costs \(9.99 + 2.5w\) dollars for \(w\) weeks of premium add-ons.

  1. Explain what 2.5 represents. (1 point)
  2. Explain what 9.99 represents. (1 point)

Question 6 – Write expressions [2 pts]

Write an algebraic expression for each phrase.

  1. 7 more than twice a number \(n\). (1 point)
  2. The product of 6 and the sum of a number \(n\) and 4. (1 point)

Question 7 – Write as a product [2 pts]

Rewrite \(3(x + 4) + 2(x + 4)\) as a product of two factors, then evaluate it when \(x = 1\).

Question 8 – Perimeter [3 pts]

2x + 3x + 6
Rectangle for question 8.

A rectangle has length \(2x + 3\) and width \(x + 6\).

  1. Write a simplified expression for the perimeter. (2 points)
  2. Find the perimeter when \(x = 5\). (1 point)

Question 9 – Compare plans [3 pts]

Plan A costs \(12 + 3.5g\) dollars and Plan B costs \(20 + 2g\) dollars for \(g\) gigabytes of data.

  1. Explain what 3.5 means in Plan A. (1 point)
  2. Write a simplified expression for the amount Plan B costs more than Plan A. (1 point)
  3. Evaluate your expression for \(g = 4\) and interpret the result. (1 point)

View solution

Key facts behind this algebra 1 expressions test

Key facts
  • 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 test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

Prepare for the test

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