Mastering Two-Step Equations

The video tutorial explains how to solve two-step equations in algebra. It begins with an introduction to key algebraic terms like variables, coefficients, and constants. The instructor demonstrates solving two-step equations through multiple examples, emphasizing the use of inverse operations to isolate the variable. Each example involves eliminating the constant first, followed by solving the resulting one-step equation. The video also highlights the importance of checking solutions by substituting the variable back into the original equation.

What is the first step in solving a two-step equation?

• Isolate the variable immediately

• Divide both sides by the coefficient

• Perform the inverse operation on the variable

• Eliminate the constant

What operation is used to eliminate a constant that is being added?

• Addition

• Multiplication

• Subtraction

• Division

If 3m + 5 = 17, what is the value of m?

• 4

• 6

• 12

• 22

In the equation 4m - 6 = 18, what is the first step to solve for m?

• Add 6

• Multiply by 4

• Divide by 4

• Subtract 6

After eliminating the constant, what is the next step?

• Isolate the variable using addition or subtraction

• None of the above

• Multiply both sides by the coefficient

• Perform the inverse operation of multiplication or division

What is the value of m in the equation m/3 + 8 = 17?

• 9

• 27

• 19

• 3

How do you check if the solution to an equation is correct?

• Divide the solution by the coefficient

• Multiply the solution by the coefficient

• Substitute the value of the variable back into the original equation

• Add the constant to the solution

What is the inverse operation of division when solving equations?

• Subtraction

• Addition

• Multiplication

• None of the above

If m/2 - 11 = 11, what is the value of m?

• 22

• 33

• 44

• 11

Why is it important to perform the same operation on both sides of an equation?

• To introduce new constants

• To eliminate the variable

• To make the equation more complex

• To keep the equation balanced