Grade 6 Math · Inequalities: Introduction

Grade 6 Inequalities Introduction Practice Test

Build Grade 6 Math skills with five 10-question practice tests on inequality symbols, number lines, solution sets, inverse operations, negative factors, and real-world constraints.

Inequalities Introduction Practice Tests

These Grade 6 Math practice tests introduce inequalities as comparisons and ranges of possible values. Students practice less than, greater than, less than or equal to, greater than or equal to, number-line graphs, one-step inequality solving, negative factors, and real-world limits.

Skills covered

  • Reading and writing inequality symbols
  • Interpreting at least, at most, no more than, under, and greater than
  • Representing solution sets on number lines
  • Solving one-step addition and subtraction inequalities
  • Solving multiplication and division inequalities
  • Reversing the inequality symbol when multiplying or dividing by a negative
  • Applying inequalities to age, cost, capacity, temperature, time, and score constraints

How to use these practice tests

Read the comparison words and decide whether the endpoint is included. Use an open circle for a strict inequality and a closed circle for an inclusive inequality. Apply inverse operations to both sides, reverse the inequality when multiplying or dividing by a negative, and test a sample value from the solution set.

For more Grade 6 Math practice, return to the Grade 6 Math category.

1. Test

Grade 6 Inequalities Introduction Practice Tests

A 10-question Grade 6 Math practice test on inequality symbols, number lines, solution sets, inverse operations, negative factors, and real-world constraints.

Interpret the comparison symbol, solve using inverse operations, reverse the sign when multiplying or dividing by a negative, and check a sample value.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

Which inequality means that xx is greater than 5?

Please select an answer first.

Correct answer: A

The correct answer is x>5x > 5.

  1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
  2. Solve or represent the condition: Greater than uses the symbol >>, so the inequality is x>5x > 5.
  3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

Greater than uses the symbol >>, so the inequality is x>5x > 5.

2. QuestionMultiple choice

Which inequality means that yy is less than or equal to 8?

Please select an answer first.

Correct answer: B

The correct answer is y≤8y \le 8.

  1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
  2. Solve or represent the condition: Less than or equal to uses ≤\le, so the inequality is y≤8y \le 8.
  3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

Less than or equal to uses ≤\le, so the inequality is y≤8y \le 8.

3. QuestionMultiple choice

Which statement is true?

Please select an answer first.

Correct answer: C

The correct answer is 4<94 < 9.

  1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
  2. Solve or represent the condition: 4 is less than 9, so 4<94 < 9 is true.
  3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

4 is less than 9, so 4<94 < 9 is true.

4. QuestionMultiple choice

Which comparison is true?

Please select an answer first.

Correct answer: D

The correct answer is −2>−5-2 > -5.

  1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
  2. Solve or represent the condition: On a number line, −2-2 is to the right of −5-5, so −2>−5-2 > -5.
  3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

On a number line, −2-2 is to the right of −5-5, so −2>−5-2 > -5.

5. QuestionMultiple choice

What does x≥3x \ge 3 mean?

Please select an answer first.

Correct answer: A

The correct answer is x is at least 3..

  1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
  2. Solve or represent the condition: The symbol ≥\ge means greater than or equal to, or at least.
  3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

The symbol ≥\ge means greater than or equal to, or at least.

6. QuestionMultiple choice

Which value satisfies a<7a < 7?

Please select an answer first.

Correct answer: B

The correct answer is 66.

  1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
  2. Solve or represent the condition: 6 is less than 7, while 7, 8, and 10 do not satisfy a strict less-than condition.
  3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

6 is less than 7, while 7, 8, and 10 do not satisfy a strict less-than condition.

7. QuestionMultiple choice

Which symbol means no more than?

Please select an answer first.

Correct answer: C

The correct answer is ≤\le.

  1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
  2. Solve or represent the condition: No more than means less than or equal to, represented by ≤\le.
  3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

No more than means less than or equal to, represented by ≤\le.

8. QuestionMultiple choice

Which symbol means greater than?

Please select an answer first.

Correct answer: D

The correct answer is >>.

  1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
  2. Solve or represent the condition: Greater than is represented by >>.
  3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

Greater than is represented by >>.

9. QuestionMultiple choice

What does 0≤x0 \le x tell us about xx?

Please select an answer first.

Correct answer: A

The correct answer is x is nonnegative..

  1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
  2. Solve or represent the condition: 0≤x0 \le x means x is at least 0, so x is nonnegative.
  3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

0≤x0 \le x means x is at least 0, so x is nonnegative.

10. QuestionMultiple choice

Which statement is true?

Please select an answer first.

Correct answer: B

The correct answer is 5>25 > 2.

  1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
  2. Solve or represent the condition: 5 is greater than 2, so 5>25 > 2 is true.
  3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

5 is greater than 2, so 5>25 > 2 is true.

Previous testNext test

Frequently asked questions about Grade 6 Inequalities: Introduction

What topics are covered?

The page covers comparison symbols, endpoint meaning, number-line graphs, one-step inequalities, negative factors, solution sets, and real-world constraints.

When does the inequality symbol reverse?

The inequality symbol reverses when both sides are multiplied or divided by a negative number.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 6 Inequalities Introduction questions in total.