Understanding Basic Algebraic Equations

What is an equation?

• A symbol used to represent an unknown value.

• A mathematical statement that asserts the equality of two expressions.

• A fixed value that does not change.

• A numerical factor that multiplies a variable.

What is a variable in algebra?

• A symbol used to represent an unknown or changeable value.

• A numerical factor that multiplies a constant.

• A fixed value that does not change.

• An operation that reverses the effect of another operation.

Which of the following is a constant?

• A symbol used to represent an unknown value.

• A fixed value that does not change within the context of an equation.

• An operation that reverses the effect of another operation.

• A numerical factor that multiplies a variable.

What is a coefficient?

• An operation that reverses the effect of another operation.

• A numerical or constant factor that multiplies a variable.

• A symbol used to represent an unknown value.

• A fixed value that does not change.

What are inverse operations?

• A fixed value that does not change.

• A symbol used to represent an unknown value.

• Operations that reverse the effect of each other.

• A numerical factor that multiplies a variable.

What does 'isolating the variable' mean?

• Multiplying both sides of an equation by the same value.

• Manipulating an equation to get the variable alone on one side.

• Subtracting the same value from both sides of an equation.

• Adding the same value to both sides of an equation.

What is the Addition Property of Equality?

• Dividing both sides of an equation by the same value maintains equality.

• Multiplying both sides of an equation by the same value maintains equality.

• Subtracting the same value from both sides of an equation maintains equality.

• Adding the same value to both sides of an equation maintains equality.

What is the Subtraction Property of Equality?

• Dividing both sides of an equation by the same value maintains equality.

• Multiplying both sides of an equation by the same value maintains equality.

• Subtracting the same value from both sides of an equation maintains equality.

• Adding the same value to both sides of an equation maintains equality.

What is the Division Property of Equality?

• Adding the same value to both sides of an equation maintains equality.

• Subtracting the same value from both sides of an equation maintains equality.

• Multiplying both sides of an equation by the same value maintains equality.

• Dividing both sides of an equation by the same nonzero value maintains equality.