Grade 7 Inequalities Practice Test

Correct answer: A

The correct answer is $x>6$.

1. Isolate the variable: Use inverse operations to move constants and coefficients while preserving the inequality.
2. Apply the inequality rule: Subtract 4 from both sides: $x>10-4$, so $x>6$.
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 $y\le11$.

1. Isolate the variable: Use inverse operations to move constants and coefficients while preserving the inequality.
2. Apply the inequality rule: Add 3 to both sides: $y\le8+3=11$.
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 $m<7$.

1. Isolate the variable: Use inverse operations to move constants and coefficients while preserving the inequality.
2. Apply the inequality rule: Divide both sides by the positive number 2: $m<14\div2=7$.
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 $n\ge15$.

1. Isolate the variable: Use inverse operations to move constants and coefficients while preserving the inequality.
2. Apply the inequality rule: Multiply both sides by 5: $n\ge3\cdot5=15$.
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 $p\ge11$.

1. Isolate the variable: Use inverse operations to move constants and coefficients while preserving the inequality.
2. Apply the inequality rule: Add 9 to both sides: $p\ge2+9=11$.
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 $q<-5$.

1. Isolate the variable: Use inverse operations to move constants and coefficients while preserving the inequality.
2. Apply the inequality rule: Subtract 6 from both sides: $q<1-6=-5$.
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 $r\le5$.

1. Isolate the variable: Use inverse operations to move constants and coefficients while preserving the inequality.
2. Apply the inequality rule: Divide both sides by the positive number 4: $r\le20\div4=5$.
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 $s<-6$.

1. Isolate the variable: Use inverse operations to move constants and coefficients while preserving the inequality.
2. Apply the inequality rule: Multiply by -3 and reverse the inequality sign: $s<2\cdot(-3)=-6$.
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 $t\ge3$.

1. Isolate the variable: Use inverse operations to move constants and coefficients while preserving the inequality.
2. Apply the inequality rule: Subtract 7 from both sides: $t\ge10-7=3$.
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 $u<6$.

1. Isolate the variable: Use inverse operations to move constants and coefficients while preserving the inequality.
2. Apply the inequality rule: Add 8 to both sides: $u<-2+8=6$.
3. Check the solution: Test a value from the solution set and confirm that it satisfies the original inequality.