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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.

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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

A school rule says a student must be at least 13 years old. Which inequality represents age aa?

Please select an answer first.

Correct answer: A

The correct answer is a≥13a \ge 13.

  1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
  2. Solve or represent the condition: At least includes 13, so use a≥13a \ge 13.
  3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

At least includes 13, so use a≥13a \ge 13.

2. QuestionMultiple choice

A purchase may cost no more than 20 dollars. Which inequality represents cost cc?

Please select an answer first.

Correct answer: B

The correct answer is c≤20c \le 20.

  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 20.
  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 20.

3. QuestionMultiple choice

A temperature must stay above −5∘-5^\circ. Which inequality represents temperature tt?

Please select an answer first.

Correct answer: C

The correct answer is t>−5t > -5.

  1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
  2. Solve or represent the condition: Above means strictly greater than, so the temperature must satisfy t>−5t > -5.
  3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

Above means strictly greater than, so the temperature must satisfy t>−5t > -5.

4. QuestionMultiple choice

A room may hold fewer than 30 people. Which inequality represents the number of people pp?

Please select an answer first.

Correct answer: D

The correct answer is p<30p < 30.

  1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
  2. Solve or represent the condition: Fewer than 30 does not include 30, so use p<30p < 30.
  3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

Fewer than 30 does not include 30, so use p<30p < 30.

5. QuestionMultiple choice

A student needs a score of at least 70. Which inequality represents score ss?

Please select an answer first.

Correct answer: A

The correct answer is sge70s ge 70.

  1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
  2. Solve or represent the condition: At least includes the boundary value 70, so use sge70s ge 70.
  3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

At least includes the boundary value 70, so use sge70s ge 70.

6. QuestionMultiple choice

A meeting should last no more than 45 minutes. Which inequality represents time tt?

Please select an answer first.

Correct answer: B

The correct answer is tle45t le 45.

  1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
  2. Solve or represent the condition: No more than means the time can be 45 or less.
  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 the time can be 45 or less.

7. QuestionMultiple choice

A ride requires a height greater than 120 centimeters. Which inequality represents height hh?

Please select an answer first.

Correct answer: C

The correct answer is h>120h > 120.

  1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
  2. Solve or represent the condition: Greater than does not include 120, so use h>120h > 120.
  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 does not include 120, so use h>120h > 120.

8. QuestionMultiple choice

A shopper must stay under a 50-dollar budget. Which inequality represents spending bb?

Please select an answer first.

Correct answer: D

The correct answer is b<50b < 50.

  1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
  2. Solve or represent the condition: Under 50 means strictly less than 50.
  3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

Under 50 means strictly less than 50.

9. QuestionMultiple choice

A group needs at least 4 tickets. Which inequality represents tickets tt?

Please select an answer first.

Correct answer: A

The correct answer is tge4t ge 4.

  1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
  2. Solve or represent the condition: At least 4 includes 4, so use tge4t ge 4.
  3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

At least 4 includes 4, so use tge4t ge 4.

10. QuestionMultiple choice

A package may weigh no more than 10 kilograms. Which inequality represents weight ww?

Please select an answer first.

Correct answer: B

The correct answer is wle10w le 10.

  1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
  2. Solve or represent the condition: No more than 10 means less than or equal to 10.
  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 10 means less than or equal to 10.

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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.