Grade 7 Inequalities Practice Test

Correct answer: A

The correct answer is $x>4$.

1. Isolate the variable: Use inverse operations to move constants and coefficients while preserving the inequality.
2. Apply the inequality rule: Subtract 3: $2x>8$. Divide by 2: $x>4$.
3. Check the solution: Test a value from the solution set and confirm that it satisfies the original inequality.

Correct answer: B

The correct answer is $y\le7$.

1. Isolate the variable: Use inverse operations to move constants and coefficients while preserving the inequality.
2. Apply the inequality rule: Add 5: $3y\le21$. Divide by 3: $y\le7$.
3. Check the solution: Test a value from the solution set and confirm that it satisfies the original inequality.

Correct answer: C

The correct answer is $m<4$.

1. Isolate the variable: Use inverse operations to move constants and coefficients while preserving the inequality.
2. Apply the inequality rule: Subtract 8: $4m<16$. Divide by 4: $m<4$.
3. Check the solution: Test a value from the solution set and confirm that it satisfies the original inequality.

Correct answer: D

The correct answer is $n\ge5$.

1. Isolate the variable: Use inverse operations to move constants and coefficients while preserving the inequality.
2. Apply the inequality rule: Add 10: $5n\ge25$. Divide by 5: $n\ge5$.
3. Check the solution: Test a value from the solution set and confirm that it satisfies the original inequality.

Correct answer: A

The correct answer is $p\le3$.

1. Isolate the variable: Use inverse operations to move constants and coefficients while preserving the inequality.
2. Apply the inequality rule: Subtract 2: $6p\le18$. Divide by 6: $p\le3$.
3. Check the solution: Test a value from the solution set and confirm that it satisfies the original inequality.

Correct answer: B

The correct answer is $q>4$.

1. Isolate the variable: Use inverse operations to move constants and coefficients while preserving the inequality.
2. Apply the inequality rule: Add 4: $7q>28$. Divide by 7: $q>4$.
3. Check the solution: Test a value from the solution set and confirm that it satisfies the original inequality.

Correct answer: C

The correct answer is $r\ge3$.

1. Isolate the variable: Use inverse operations to move constants and coefficients while preserving the inequality.
2. Apply the inequality rule: Subtract 5: $8r\ge24$. Divide by 8: $r\ge3$.
3. Check the solution: Test a value from the solution set and confirm that it satisfies the original inequality.

Correct answer: D

The correct answer is $s<4$.

1. Isolate the variable: Use inverse operations to move constants and coefficients while preserving the inequality.
2. Apply the inequality rule: Add 6: $9s<36$. Divide by 9: $s<4$.
3. Check the solution: Test a value from the solution set and confirm that it satisfies the original inequality.

Correct answer: A

The correct answer is $t\le4$.

1. Isolate the variable: Use inverse operations to move constants and coefficients while preserving the inequality.
2. Apply the inequality rule: Subtract 1: $10t\le40$. Divide by 10: $t\le4$.
3. Check the solution: Test a value from the solution set and confirm that it satisfies the original inequality.

Correct answer: B

The correct answer is $u>3$.

1. Isolate the variable: Use inverse operations to move constants and coefficients while preserving the inequality.
2. Apply the inequality rule: Add 7: $11u>33$. Divide by 11: $u>3$.
3. Check the solution: Test a value from the solution set and confirm that it satisfies the original inequality.