Grade 6 One-Step Equations Practice Test

Correct answer: A

The correct answer is $13$.

1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
2. Use the inverse operation: Write $x + 7 = 20$ and subtract 7: $x = 13$.
3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.

Correct answer: B

The correct answer is $17$.

1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
2. Use the inverse operation: Write $x - 5 = 12$ and add 5: $x = 17$.
3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.

Correct answer: C

The correct answer is $7$.

1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
2. Use the inverse operation: Write $4x = 28$ and divide by 4: $x = 7$.
3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.

Correct answer: D

The correct answer is $18$.

1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
2. Use the inverse operation: Write $x \div 6 = 3$ and multiply by 6: $x = 18$.
3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.

Correct answer: A

The correct answer is $18$.

1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
2. Use the inverse operation: Write $x - 8 = 10$ and add 8: $x = 18$.
3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.

Correct answer: B

The correct answer is $6$.

1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
2. Use the inverse operation: Write $2x + 3 = 15$. Subtract 3 and divide by 2: $x = 6$.
3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.

Correct answer: C

The correct answer is $9$.

1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
2. Use the inverse operation: Write $5x = 45$ and divide by 5: $x = 9$.
3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.

Correct answer: D

The correct answer is $14$.

1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
2. Use the inverse operation: Write $x \div 2 = 7$ and multiply by 2: $x = 14$.
3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.

Correct answer: A

The correct answer is $7.50.

1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
2. Use the inverse operation: Subtract $2.50 from $10: $10 - 2.5 = 7.5$, so the amount was $7.50.
3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.

Correct answer: B

The correct answer is $12$.

1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
2. Use the inverse operation: Write $\frac{3}{4}x = 9$ and multiply by $\frac{4}{3}$: $x = 12$.
3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.