Solving Multi-Step Equations

This video tutorial teaches how to solve multi-step equations using an example equation: 15 = (W - 16) / 2. The process involves isolating the variable by eliminating fractions and simplifying the equation using the distributive property. The tutorial guides through each step, ensuring the solution is verified. It concludes with encouragement to practice more problems.

What is the main objective when solving multi-step equations?

• To find the value of the variable

• To eliminate all numbers

• To guess the solution

• To make the equation more complex

What operation is used to eliminate division in an equation?

• Division

• Multiplication

• Subtraction

• Addition

Why do we multiply both sides of the equation by the denominator?

• To make the equation longer

• To add more fractions

• To eliminate the fraction

• To change the variable

What is the first step in solving the equation 15 = (W - 16) / 2?

• Add 16 to both sides

• Multiply both sides by 2

• Subtract 16 from both sides

• Divide both sides by 2

What property is used to distribute multiplication over addition or subtraction?

• Associative Property

• Identity Property

• Distributive Property

• Commutative Property

What is the result of multiplying 2 by 15 in the equation?

• 15

• 30

• 45

• 60

What is the simplified form of 2W/2?

• 2

• W

• 2W

• W/2

After simplifying, what is the next step to isolate the variable?

• Multiply both sides by zero

• Add the same number to both sides

• Divide both sides by the variable

• Subtract the same number from both sides

What is the result of adding 16 to both sides of the equation 30 = W - 16?

• W = 16

• W = 30

• W = 46

• W = 14

How do you verify the solution of an equation?

• By guessing the answer

• By substituting the solution back into the original equation

• By ignoring the solution

• By changing the equation