Grade 6 Inequalities Introduction Practice Test

Correct answer: A

The correct answer is $x > 3$.

1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
2. Solve or represent the condition: An open circle excludes 3, and shading right represents values greater than 3.
3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

Correct answer: B

The correct answer is $x le -2$.

1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
2. Solve or represent the condition: A closed circle includes -2, and shading left represents values less than or equal to -2.
3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

Correct answer: C

The correct answer is $5$.

1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
2. Solve or represent the condition: 5 is greater than 4, so it belongs to the solution set.
3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

Correct answer: D

The correct answer is $7$.

1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
2. Solve or represent the condition: The closed inequality includes the boundary value 7.
3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

Correct answer: A

The correct answer is Forgetting to reverse the inequality symbol..

1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
2. Solve or represent the condition: Multiplying or dividing by a negative reverses the order, so the inequality symbol must change direction.
3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

Correct answer: B

The correct answer is $x > 6$.

1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
2. Solve or represent the condition: Subtract 2 from both sides: $x > 8 - 2 = 6$.
3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

Correct answer: C

The correct answer is $x le 5$.

1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
2. Solve or represent the condition: Add 1 and divide by 2: $2x le 10$, so $x le 5$.
3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

Correct answer: D

The correct answer is $x > 13$.

1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
2. Solve or represent the condition: Add 3 to both sides: $x > 10 + 3 = 13$.
3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

Correct answer: A

The correct answer is An inequality can have a range of solutions, while an equation describes equality..

1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
2. Solve or represent the condition: An inequality compares quantities and often represents a set or range of values.
3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.

Correct answer: B

The correct answer is Inequalities compare quantities, represent ranges on number lines, and are solved with inverse operations while tracking endpoints and sign changes..

1. Read the inequality: Identify the comparison symbol and whether the endpoint is included.
2. Solve or represent the condition: A complete summary connects comparison symbols, solution sets, graphs, inverse operations, and negative-factor rules.
3. Check a value: Test a boundary or sample value to confirm that it belongs or does not belong to the solution set.