Solving Equations with Parentheses

The lesson focuses on using tape diagrams to solve equations with parentheses. It includes mental math practice, examples of equations, and step-by-step solutions. The lesson concludes with a summary and assignment instructions.

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

• Drawing tape diagrams

• Solving equations with parentheses

• Learning new mathematical operations

• Understanding fractions

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?

• 5(x + 3) = 20

• x + 3 = 20

• 5x + 3 = 20

• x + 5 = 20

For an equilateral triangle with side length 5 inches, increased by x inches, what equation represents a perimeter of 20 inches?

• x + 5 = 20

• 3(5 + x) = 20

• 5x + 3 = 20

• 5 + 3x = 20

In the art class problem, if each student pays $3 plus a fee, what equation represents the total collected from 5 students?

• x + 5 = 20

• 5x + 3 = 20

• 3x + 5 = 20

• 5(3 + x) = 20

If Elena ran 20 miles, which is three times as far as Claire, who ran 5 more miles than last week, what equation represents this?

• 20 = 3(x + 5)

• 20 = x + 5

• 3x + 5 = 20

• x + 3 = 20

In the toy basket problem, if each basket initially had x toys and 2 more were added, what equation represents the total of 140 toys in 10 baskets?

• x + 2 = 140

• 10x + 2 = 140

• 10(x + 2) = 140

• x + 10 = 140

For the team workers problem, if each team had y workers and 10 more were added, what equation represents a total of 140 workers in 2 teams?

• y + 2 = 140

• 2(y + 10) = 140

• 2y + 10 = 140

• y + 10 = 140

What is the first step in solving an equation with parentheses?

• Add the numbers inside the parentheses

• Multiply the numbers inside the parentheses

• Subtract the numbers inside the parentheses

• Divide by the number outside the parentheses

What is the final step in solving the equation 5(x + 3) = 20?

• Divide both sides by 5

• Multiply both sides by 5

• Subtract 3 from both sides

• Add 3 to both sides