Solving Linear Equations and Verification

The video tutorial explains how to solve the equation w + 8 = 14 using tape diagrams and algebraic methods. It begins with setting up the equation visually, then demonstrates solving for w by subtracting 8 from 14. The solution is verified by substituting the value back into the equation. The tutorial also covers the algebraic method of solving the equation, emphasizing the inverse operation of addition, which is subtraction.

What is the first step in solving the equation w + 8 = 14?

• Multiply both sides by 2

• Divide both sides by 2

• Subtract 8 from both sides

• Add 8 to both sides

What does the equal sign in an equation signify?

• One side is less than the other

• Both sides are the same

• One side is greater than the other

• The equation is unsolvable

How is the number 14 represented in the tape diagram?

• As a series of numbers

• As two separate blocks

• As a circle

• As a single block

What is the purpose of using a tape diagram in solving equations?

• To visually represent the equation

• To solve the equation faster

• To avoid using numbers

• To make the equation more complex

What does the tape diagram help to visualize in the equation w + 8 = 14?

• The solution of the equation

• The components of the equation

• The errors in the equation

• The complexity of the equation

What operation is used to find the value of w in the equation w + 8 = 14?

• Subtraction

• Division

• Addition

• Multiplication

If w + 8 = 14, what is the value of w?

• 6

• 0

• 14

• 8

What is the inverse operation of addition?

• Division

• Multiplication

• Addition

• Subtraction

What is the result of 14 minus 8?

• 2

• 14

• 8

• 6

How can you verify the solution of w in the equation w + 8 = 14?

• By dividing w by 2

• By adding 8 to w

• By substituting w back into the equation

• By multiplying w by 2