Solving and Verifying Equations

This video tutorial covers solving equations using tape diagrams and algebraic methods. It includes examples such as solving 3z = 9 and y/4 = 2, demonstrating both visual and algebraic approaches. The tutorial also provides exercises for practice, reinforcing the concepts of solving equations by balancing both sides and using identity properties.

What is the value of z in the equation 3z = 9?

• 3

• 2

• 4

• 1

How can you verify the solution to the equation 3z = 9?

• By subtracting 3 from both sides

• By adding 3 to both sides

• By substituting z = 3 back into the equation

• By multiplying both sides by 3

What is the value of y in the equation y/4 = 2?

• 8

• 6

• 4

• 10

How can you verify the solution to the equation y/4 = 2?

• By subtracting 4 from both sides

• By adding 4 to both sides

• By multiplying both sides by 4

• By dividing both sides by 2

What is the value of m in the equation 3m = 21?

• 8

• 7

• 6

• 5

What is the value of n in the equation 15 = n/5?

• 70

• 65

• 75

• 60

What is the value of p in the equation 4p = 36?

• 9

• 7

• 8

• 10

How can you verify the solution to the equation 4p = 36?

• By subtracting 4 from both sides

• By dividing both sides by 4

• By multiplying both sides by 4

• By adding 4 to both sides

Which multiplication equation has a solution of 12?

• 2m = 24

• 3m = 36

• 5m = 60

• 4m = 48

Which division equation has a solution of 12?

• d/2 = 6

• d/3 = 4

• d/5 = 2.4

• d/4 = 3