Grade 7 Multi-Step Equations Practice Test

Correct answer: A

The correct answer is $9$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Write $2x+7=25$. Subtract 7 and divide by 2: $x=9$.
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 $9$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Write $3x-5=22$. Add 5 and divide by 3: $x=9$.
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: Use $2l+2(5)=34$. Then $2l=24$ and $l=12$.
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: Write $4x+12=52$. Subtract 12 and divide by 4: $x=10$ dollars.
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 $11$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Write $2x-5=17$. Add 5 and divide by 2: $x=11$.
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 $6$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Write $3(x+4)=30$. Divide by 3 and subtract 4: $x=6$.
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: Combine like terms: $5x+5=30$. Then $5x=25$ and $x=5$.
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 $7$ miles.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Write $4+2m=18$. Subtract 4 and divide by 2: $m=7$ miles.
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 $8$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Subtract $n$ and 8: $2n=16$. Therefore, $n=8$.
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 $4$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Write $9t+6=42$. Subtract 6 and divide by 9: $t=4$ tickets.
3. Check the solution: Substitute the value into the original equation and verify that both sides are equal.