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Linear Inequalities Test – Algebra 1 Math (Printable PDF)

Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Algebra 1 Math Tests – Mathbot, the Math Made Easy robot coach, with free printable tests for Algebra 1
Looking for a linear inequalities test PDF? Then this Algebra 1 test on Solving, Graphing and Modeling with Inequalities checks the whole chapter, with points for each question. This test has 9 questions worth 20 points in total. Show every step, graph where asked and write constraint answers as whole numbers when the situation requires it. A calculator is allowed. Plan on about 45 minutes.

Standards: A-REI.B.3, A-CED.A.1, A-CED.A.3 · Level: Grade 9 Algebra 1

Time: 45 minutes · 9 questions · Total: 20 points · Calculator: as allowed by your teacher

Question 1 One inequality (2 points)

Solve 4x − 7 ≥ 13 and graph the solution on a number line.

Question 2 Negative divisor (2 points)

Solve −3x + 5 < 17.

Question 3 Distribute and compare (2 points)

Solve 4(x + 3) ≥ 7x − 9.

Question 4 An and inequality (2 points)

Solve −5 ≤ 3x + 1 < 16 and write the answer in interval notation.

Question 5 An or inequality (2 points)

Solve 2x − 3 ≤ −9 or 5x > 20 and describe the solution set.

Question 6 Read the segment (2 points)

Write the compound inequality and the interval notation for the graph.

−8−7−6−5−4−3−2−101234
A graph on a number line.

Question 7 Read the ray (2 points)

Write the inequality for the graph, then name one integer that is a solution and one that is not.

012345678
A graph on a number line.

Question 8 Band fundraiser (3 points)

A school band needs at least $1,500 for a trip. It has $420 and earns $4.50 profit on each box of popcorn sold. (a) Write an inequality. (1 point) (b) Solve it. (1 point) (c) State the least number of boxes. (1 point)

Question 9 Daily calories (3 points)

A hiker needs between 2,200 and 3,000 calories per day, inclusive. She eats 600 calories at meals and the rest from trail bars of 180 calories each. (a) Write a compound inequality for the number of bars n. (1 point) (b) Solve it. (1 point) (c) List the possible whole numbers of bars. (1 point)

View the Linear Inequalities test answer key with scoring

Linear Inequalities lessonLinear Inequalities worksheetLinear Inequalities quiz

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