Solving Equations and Geometry Problems

In this video tutorial, the teacher introduces Lesson 22, focusing on transitioning from solving equations using tape diagrams to solving them algebraically. The lesson covers using additive and multiplicative inverses to solve equations. The teacher presents a real-life problem involving a hexagonal enclosure and another problem about calculating swim practice hours. The video concludes with exercises for students to practice solving equations.

What is the purpose of using an additive inverse in solving equations?

• To make the equation more complex

• To eliminate a variable

• To simplify the equation by making zero

• To add more variables

In the hexagonal enclosure problem, what is the total perimeter of the enclosure?

• 150 feet

• 137 feet

• 100 feet

• 120 feet

How many sides does the hexagonal enclosure have?

• Seven

• Four

• Six

• Five

What is the length of each side running along the flowerbed in the hexagonal enclosure problem?

• 45 feet

• 40 feet

• 35 feet

• 30 feet

In the swim practice problem, how many days a week does Jenny practice?

• Three

• Five

• Six

• Four

How many hours does Jenny swim in the evening each day?

• Two hours

• Four hours

• One hour

• Three hours

What is the total number of hours Jenny swims per week?

• 16 hours

• 14 hours

• 12 hours

• 10 hours

In the exercise example, what is the first step to solve 5x + 4 = 19?

• Divide both sides by 5

• Multiply both sides by 5

• Subtract 4 from both sides

• Add 4 to both sides

What is the value of x in the equation 5x + 4 = 19?

• 2

• 3

• 4

• 5

What is the inverse operation of multiplication used in the exercises?

• Addition

• Multiplication

• Subtraction

• Division