Grade 7 Multi-Step Equations Practice Test

Correct answer: A

The correct answer is $12$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Subtract 3: $\frac{x}{2}=6$. Multiply by 2: $x=12$.
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 $18$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Add 2: $\frac{y}{3}=6$. Multiply by 3: $y=18$.
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 $12$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Subtract 4: $0.5m=6$. Divide by 0.5: $m=12$.
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 $10$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Add 3: $1.5n=15$. Divide by 1.5: $n=10$.
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 $12$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Subtract 5: $\frac{p}{4}=3$. Multiply by 4: $p=12$.
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 $20$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Subtract 2: $0.25q=5$. Divide by 0.25: $q=20$.
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 $20$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Add 1: $\frac{r}{5}=4$. Multiply by 5: $r=20$.
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: Subtract 5: $2.5s=15$. Divide by 2.5: $s=6$.
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 $20$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Subtract 6: $0.2t=4$. Divide by 0.2: $t=20$.
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 $24$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Subtract 1: $\frac{u}{8}=3$. Multiply by 8: $u=24$.
3. Check the solution: Substitute the value into the original equation and verify that both sides are equal.