Grade 7 Multi-Step Equations Practice Test

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 $x$ and 4: $2x=10$. Divide by 2: $x=5$.
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: Subtract $2y$ and add 3: $3y=15$. Thus $y=5$.
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 $5$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Subtract $4m$ and 2: $3m=15$. Thus $m=5$.
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 $5n$ and add 5: $4n=24$. Thus $n=6$.
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 $5$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Subtract $2p$ and 1: $4p=20$. Thus $p=5$.
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: Subtract $3q$ and add 6: $5q=25$. Thus $q=5$.
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 $6r$ and 7: $4r=24$. Thus $r=6$.
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 $5$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Subtract $7s$ and add 4: $5s=25$. Thus $s=5$.
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 $t$ and 9: $3t=15$. Thus $t=5$.
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: Subtract $5u$ and add 2: $6u=30$. Thus $u=5$.
3. Check the solution: Substitute the value into the original equation and verify that both sides are equal.