Grade 6 One-Step Equations Practice Test

Correct answer: A

The correct answer is Adding 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: Addition undoes subtraction, so add 6 to both sides.
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 Dividing by 4.

1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
2. Use the inverse operation: Division undoes multiplication, so divide both sides by 4.
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 $-14$.

1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
2. Use the inverse operation: Multiply both sides by 7: $x = -2 \times 7 = -14$.
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 Yes, because $8 + 3 = 11$.

1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
2. Use the inverse operation: Substitution gives $8 + 3 = 11$, so the solution is correct.
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 $x = 13$.

1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
2. Use the inverse operation: Add 9 to both sides: $x = 4 + 9 = 13$.
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 $7$.

1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
2. Use the inverse operation: Add 5 to both sides: $x = 2 + 5 = 7$.
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 It keeps the equation balanced while undoing the operation on the variable..

1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
2. Use the inverse operation: The same inverse operation is applied to both sides, preserving equality while isolating the variable.
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 Subtracting 4 instead of adding 4 to both sides..

1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
2. Use the inverse operation: Because 4 is subtracted, add 4 to undo it: $x = 13$.
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 $x \approx 10$.

1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
2. Use the inverse operation: Since $39 \div 4 = 9.75$, x is close to 10.
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 One-step equations are solved by using an inverse operation on both sides and checking the resulting value..

1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
2. Use the inverse operation: A complete summary connects inverse operations, balance, variable isolation, substitution, and real-world meaning.
3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.