6th Grade Inequalities on the Number Line Test with Point Values (PDF)

6th Grade math test: Inequalities on the Number Line – Maths PDF

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This grade 6 inequalities test for 6th Grade covers inequalities on the number line (Common Core 6.EE.B.5, 6.EE.B.8), with a free PDF to print.

This 45-minute test has 9 questions worth 20 points. It covers testing solutions, graphing inequalities, writing inequalities from words and graphs, and real-world constraints (Common Core 6.EE.B.5 and 6.EE.B.8). Show your work.

Time and points

About this test

Grade: Grade 6
Chapter: Inequalities on the Number Line
Standards: 6.EE.B.5, 6.EE.B.8
Time: 45 minutes
Total: 20 points

Grade 6 inequalities test: questions

Question 1 – Is it a solution? [2 pts]

Is 9 a solution of $x < 9$?
Is 4 a solution of $x \ge 4$?

Question 2 – Graph [2 pts]

Number line.

Graph $x > 1$ on the number line.

Question 3 – Graph with closed circle [2 pts]

Number line.

Graph $x \le -2$ on the number line.

Question 4 – Write from a graph [2 pts]

A ray.

Write the inequality shown by the graph.

Question 5 – Words to inequality [2 pts]

A number n is at least 18.
A number n is no more than 6.

Question 6 – List solutions [2 pts]

List three solutions of $x < -1$. Is $-1$ a solution? Explain.

Question 7 – Real-world constraint [2 pts]

A weight limit for a small boat is 450 pounds. Write an inequality for the allowed total weight w. Can a group weighing 452 pounds ride?

Question 8 – Infinitely many solutions [3 pts]

Explain why $x \ge 4$ has infinitely many solutions, and tell whether it has a least solution.

Question 9 – Write and graph [3 pts]

Number line.

A store gives free shipping when an order total t is more than $35. Write an inequality, graph it, and tell whether an order of $35 gets free shipping.

Key facts behind this grade 6 inequalities test

Key facts

An inequality uses <, >, ≤, or ≥ and usually has infinitely many solutions.
Open circle: the number is not included (< or >).
Closed circle: the number is included (≤ or ≥).
Shade right for greater values and left for lesser values.
At least means ≥ and at most or no more than means ≤.

How to use this grade 6 inequalities 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.

All Grade 6 chapters: Grade 6 math.

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