Solving Equations with Parentheses

This lesson focuses on reasoning with tape diagrams and solving equations with parentheses. Students learn to create and solve equations from word problems, using mental strategies and understanding the role of parentheses. The lesson concludes with a summary and assignment instructions.

What is the main focus of the lesson on tape diagrams and equations?

• Solving equations with parentheses

• Understanding geometry

• Learning about fractions

• Drawing tape diagrams

If 6 minus 1 equals 5, what is the solution to the equation 'what minus 1 equals 5'?

• 7

• 6

• 5

• 4

In the gift bag problem, if each bag contains x pencils and 3 more are added, what equation represents the total pencils in 5 bags?

• x + 5 = 20

• x + 3 = 20

• 5(x + 3) = 20

• 5x + 3 = 20

How do you represent the perimeter of an equilateral triangle with side length 5 increased by x?

• 5x + 3 = 20

• 3x + 5 = 20

• 5 + 3x = 20

• 3(5 + x) = 20

What is the equation for the art class problem where each student pays $3 plus a fee?

• 5x + 3 = 20

• 3x + 5 = 20

• 5(3 + x) = 20

• 3 + 5x = 20

In solving 5(x + 3) = 20, what is the first step?

• Add 3 to both sides

• Subtract 3 from both sides

• Divide both sides by 5

• Multiply both sides by 5

What is the solution to the equation 3(x + 5) = 20?

• x = 1.666

• x = 2

• x = 3

• x = 4

In the toy basket problem, if each basket initially had x toys and 2 more were added, what equation represents the total toys in 10 baskets?

• 10x + 2 = 140

• x + 10 = 140

• x + 2 = 140

• 10(x + 2) = 140

How many workers were initially on each team if 10 were added to each and the total became 140?

• 70

• 60

• 50

• 80

What is the main challenge in solving equations with parentheses according to the lesson summary?

• Finding the right equation

• Calculating the answer

• Understanding the problem

• Drawing diagrams