Solving Equations and Legal Moves

In Hands-On Equations Lesson Four, students learn advanced legal moves for solving equations. The lesson reviews previous concepts and introduces new techniques for maintaining balance by removing equal values from both sides. Through three example problems, students practice these moves, reinforcing their understanding of solving equations. The lesson concludes with encouragement to practice using both pawns and cubes.

What is the initial equation set up in Lesson Four?

• 2x + 4 = 10

• 4x + 6 = 20

• 3x + 5 = 15

• x + 2 = 5

What is a legal move in the context of balancing equations?

• Adding different values to both sides

• Removing equal values from both sides

• Dividing one side by a number

• Multiplying both sides by different numbers

In the equation 2x + 4 = 10, what is the result after removing 4 from both sides?

• 2x = 6

• 2x = 10

• 2x = 8

• 2x = 4

What is the smallest value removed from both sides in the equation 2x + 4 = 10?

• 4

• 2

• 3

• 5

What is the result of subtracting 4 from 10 in the equation 2x + 4 = 10?

• 7

• 5

• 4

• 6

What are the two types of legal moves discussed in the lesson?

• Adding variables and constants

• Multiplying and dividing

• Adding and subtracting

• Removing pawns and removing equal values

In Example 1, what is the equation set up for solving?

• 3x + 4 = x + 10

• 4x + 5 = 2x + 13

• 2x + 3 = x + 7

• 5x + 6 = 3x + 14

What is the value of x in the equation 4x + 5 = 2x + 13 after solving?

• x = 3

• x = 6

• x = 4

• x = 5

In Example 1, what is the value subtracted from both sides after removing pawns?

• 6

• 5

• 4

• 3

In Example 1, what is the result of subtracting 5 from 13?

• 8

• 9

• 7

• 6