Mastering 2-Step Equations

The video tutorial covers key algebraic concepts, including variables, coefficients, and constants. It explains the properties of equality—addition, subtraction, multiplication, and division—and how they are used to solve equations. The tutorial demonstrates solving two-step equations by creating zero terms and big one factors, followed by examples and practice problems to reinforce learning.

What is a variable in an algebraic equation?

• A graphical representation of data

• A type of mathematical operation

• A fixed number in an equation

• A symbol representing an unknown value

What role does a coefficient play in an equation?

• It is the number added to a variable

• It divides the variable

• It represents the total sum

• It multiplies the variable

In the context of algebra, what does a constant represent?

• A variable that can change

• A number that does not change

• A coefficient that is variable

• An operation like addition or subtraction

What is the purpose of the addition property of equality?

• To multiply both sides of the equation

• To divide both sides of the equation

• To add the same number to both sides of the equation

• To subtract a number from both sides of the equation

How does the multiplication property of equality affect an equation?

• It divides both sides by the same number

• It multiplies both sides by the same number

• It subtracts a constant from both sides

• It adds a constant to both sides

When solving an equation, why is it important to perform the same operation on both sides?

• To solve the equation more quickly

• To make the equation more complex

• To focus only on one side of the equation

• To ensure the equation remains balanced

What is the first step typically taken when solving a two-step equation?

• Divide both sides by the coefficient

• Create a zero term by adding the opposite of the constant

• Isolate the variable on one side

• Multiply both sides by the coefficient

What does creating a 'big one factor' involve in solving equations?

• Using the inverse operation of multiplication or division on the coefficient

• Isolating the constant on one side

• Subtracting a number from both sides

• Adding a number to both sides

What is the additive inverse used for in solving equations?

• To create a zero term by canceling out a constant

• To divide a term

• To isolate a coefficient

• To multiply a term

How do you verify the solution of a two-step equation?

• By substituting the solution back into the original equation

• By graphing the equation and solution

• By adding the solution to the equation

• By multiplying the equation by the solution