Grade 7 Multi-Step Equations Practice Test

Correct answer: A

The correct answer is $6$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Subtract 5: $2x=12$. Divide by 2: $x=6$.
3. Check the solution: Substitute the value into the original equation and verify that both sides are equal.

Correct answer: B

The correct answer is $8$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Add 4: $3y=24$. Divide by 3: $y=8$.
3. Check the solution: Substitute the value into the original equation and verify that both sides are equal.

Correct answer: C

The correct answer is $6$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Subtract 7: $4m=24$. Divide by 4: $m=6$.
3. Check the solution: Substitute the value into the original equation and verify that both sides are equal.

Correct answer: D

The correct answer is $7$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Add 9: $5n=35$. Divide by 5: $n=7$.
3. Check the solution: Substitute the value into the original equation and verify that both sides are equal.

Correct answer: A

The correct answer is $5$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Subtract 2: $6p=30$. Divide by 6: $p=5$.
3. Check the solution: Substitute the value into the original equation and verify that both sides are equal.

Correct answer: B

The correct answer is $5$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Add 5: $7q=35$. Divide by 7: $q=5$.
3. Check the solution: Substitute the value into the original equation and verify that both sides are equal.

Correct answer: C

The correct answer is $6$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Subtract 4: $8r=48$. Divide by 8: $r=6$.
3. Check the solution: Substitute the value into the original equation and verify that both sides are equal.

Correct answer: D

The correct answer is $6$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Add 8: $9s=54$. Divide by 9: $s=6$.
3. Check the solution: Substitute the value into the original equation and verify that both sides are equal.

Correct answer: A

The correct answer is $4$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Subtract 3: $10t=40$. Divide by 10: $t=4$.
3. Check the solution: Substitute the value into the original equation and verify that both sides are equal.

Correct answer: B

The correct answer is $5$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Add 6: $11u=55$. Divide by 11: $u=5$.
3. Check the solution: Substitute the value into the original equation and verify that both sides are equal.