Bar Models for Solving Equations

Mrs. Mandarino introduces bar models as a method to solve one-step equations, building on last week's lesson on hanger models. She explains how bar models can represent both addition and multiplication equations, providing examples and practice problems. The lesson concludes with assignments on Schoology.

What is the primary focus of using bar models in this lesson?

• To learn about different types of equations

• To represent and solve one-step equations

• To solve complex algebraic equations

• To understand the history of bar models

How do bar models help in solving equations?

• By providing a visual representation

• By eliminating the need for calculations

• By offering multiple solutions

• By simplifying the equations

In the context of bar models, what does it mean when two bars are of equal length?

• The bars have different values

• The bars represent different equations

• The bars represent the same equation

• The bars are unrelated

What is the first step in solving an addition equation using bar models?

• Multiply both bars by the same number

• Divide both bars by the same number

• Subtract the same value from both bars

• Add the same value to both bars

In a bar model, if the purple bar is represented by x + 11 and the yellow bar by 26, what is the value of x?

• 11

• 15

• 37

• 26

When solving a multiplication equation with bar models, what is the key step?

• Subtracting a constant from each part

• Breaking the total into equal parts

• Multiplying each part by a constant

• Adding the same value to each part

If a bar model equation is 5x = 35, what is the value of x?

• 5

• 6

• 7

• 8

In a practice problem, if the purple bar is 25 and the yellow bar is 10 + w, what is the value of w?

• 20

• 15

• 10

• 25

For the equation y + y = 7, what is the value of y?

• 3.5

• 3

• 2.5

• 4

If 6p = 120 in a bar model, what is the value of p?

• 30

• 25

• 20

• 15