Solving Two Step Equations: A Comprehensive Review

The video tutorial covers solving two-step equations, starting with key vocabulary such as coefficients, constants, and solutions. It explains the process of identifying variables and using inverse operations to solve equations. The tutorial includes example problems involving addition, subtraction, multiplication, and division, demonstrating how to apply inverse operations to find solutions.

What is a coefficient in the context of an algebraic equation?

• A variable that is added to another number

• The number that a variable is multiplied by

• A constant number that does not change

• The solution to the equation

What role does a constant play in an equation?

• It is the operation applied to the variable

• It changes based on the value of the variable

• It is a fixed number that does not vary

• It represents the unknown to be solved for

How do you typically start solving a two-step equation?

• By substituting the variable with its value

• By isolating the constant on one side

• By identifying the variable and operations applied to it

• By multiplying both sides by the coefficient

What is the inverse operation to addition in the context of solving equations?

• Division

• Subtraction

• None of the above

• Multiplication

In the equation '5y + 9 = 15', what is the first step to isolate 'y'?

• Divide both sides by 5

• Add 9 to both sides

• Subtract 9 from both sides

• Multiply both sides by 5

After subtracting 9 in the equation '5y + 9 = 15', what is the next step?

• Add 5 to both sides

• Subtract 5 from both sides

• Divide both sides by 5

• Multiply both sides by 5

What is the inverse operation to multiplication when solving for 'x' in '8x - 14 = 64'?

• Subtraction

• Multiplication

• Division

• Addition

In the equation 'B/5 + 12 = 10', what must be done first to solve for 'B'?

• Multiply both sides by 5

• Subtract 12 from both sides

• Divide both sides by 5

• Add 12 to both sides

After isolating 'B/5 = -2' in the equation 'B/5 + 12 = 10', what is the final step to find 'B'?

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply both sides by 5

• Divide both sides by 5

What is the solution to the equation 'W/3 - 5 = 13' after applying the inverse operations correctly?

• W = 24

• W = 54

• W = 18

• W = 39