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: Divide by 3: $x+2=7$. Subtract 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 $10$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Divide by 4: $y-3=7$. Add 3: $y=10$.
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 $2$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Distribute and combine: $2m+13=17$. Then $2m=4$ and $m=2$.
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: Distribute and combine: $5n-9=21$. Then $5n=30$ and $n=6$.
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 $8$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Divide by 2: $p+7=15$. Subtract 7: $p=8$.
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 $10$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Distribute and combine: $3q-10=20$. Then $3q=30$ and $q=10$.
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: Distribute and combine: $4r+1=25$. Then $4r=24$ and $r=6$.
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: Distribute and combine: $6s-7=29$. Then $6s=36$ and $s=6$.
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 $5$.

1. Simplify both sides: Use the distributive property and combine like terms before isolating the variable.
2. Use inverse operations: Divide by 7: $t+3=8$. Subtract 3: $t=5$.
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: Distribute and combine: $8u-2=38$. Then $8u=40$ and $u=5$.
3. Check the solution: Substitute the value into the original equation and verify that both sides are equal.