Solving Equations and Verifying Solutions

In this video tutorial, Mr. Sproul introduces the class to solving two-step equations. He shares a personal story about his family and hobbies before diving into the lesson. The tutorial covers the steps to solve two-step equations, including undoing addition or subtraction, undoing multiplication or division, and solving for x. Mr. Sproul walks through problem 1A using a visual method with pouches and gold coins, and checks the solution. He then introduces problem 2A, explaining how to handle negative variables. The lesson concludes with a summary and farewell.

What activity does Mr. Sproul enjoy doing with his family?

• Fishing

• Hiking

• Snowmobiling

• Skiing

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

• Undo addition or subtraction

• Check the solution

• Solve for x

• Undo multiplication or division

In the equation 5x + 2 = 8 + 2x, what should be done first?

• Add 2 to both sides

• Subtract 2x from both sides

• Multiply both sides by 5

• Divide both sides by 2

After simplifying the equation 5x + 2 = 8 + 2x, what is the next step?

• Divide by 3

• Subtract 2 from both sides

• Add 8 to both sides

• Multiply by 3

What is the value of x in the equation 5x + 2 = 8 + 2x after solving?

• 3

• 2

• 4

• 1

How do you verify the solution of an equation?

• By substituting back into the original equation

• By checking with a calculator

• By guessing

• By asking a friend

What is the first step in solving the equation -10 - k = 36?

• Multiply by -1

• Subtract 36 from both sides

• Divide by 10

• Add 10 to both sides

How do you handle a negative variable in an equation?

• Multiply by -1

• Add a positive number

• Ignore the negative sign

• Divide by 2

What is the value of k in the equation -10 - k = 36 after solving?

• -46

• 46

• -36

• 36

What is the result of two negative numbers multiplied together?

• Undefined

• Zero

• Positive

• Negative