Solving Equations and Operations

The lesson focuses on solving equations using inverse operations, including addition, subtraction, multiplication, and division. It explains how these operations cancel each other out and demonstrates solving equations with whole numbers, fractions, and decimals. The lesson also covers writing equations to represent real-world situations and highlights that different equations can describe the same scenario. Key concepts include isolating variables and maintaining balance in equations.

What are the main goals of today's lesson?

• To understand the history of mathematics

• To learn about historical figures

• To solve equations with whole numbers, fractions, and decimals

• To memorize mathematical formulas

Which of the following pairs are inverse operations?

• Multiplication and addition

• Subtraction and division

• Addition and multiplication

• Addition and subtraction

If you have $50 and spend $50, what operation have you performed?

• Division

• Subtraction

• Addition

• Multiplication

What is the result of solving the equation x + 7 = 10 using inverse operations?

• x = 3

• x = 17

• x = -3

• x = 7

How do you isolate the variable x in the equation x - 2.5 = 3.25?

• Divide both sides by 2.5

• Multiply both sides by 2.5

• Subtract 2.5 from both sides

• Add 2.5 to both sides

What is the solution to the equation 2x = 10?

• x = 2

• x = 20

• x = 10

• x = 5

In the equation x/4 = 20, what operation would you use to solve for x?

• Multiply both sides by 4

• Subtract 4 from both sides

• Add 4 to both sides

• Divide both sides by 4

Tommy collected six fewer pieces of candy than Jonah, who collected 18 pieces. How many pieces did Tommy collect?

• 6 pieces

• 18 pieces

• 12 pieces

• 24 pieces

Which equation represents the situation where Tommy collected six fewer pieces of candy than Jonah?

• x - 6 = 18

• x = 18 + 6

• x = 18 - 6

• x + 6 = 18

Why can different equations describe the same situation?

• Because they have different variables

• Because they are different forms of the same relationship

• Because they represent different operations

• Because they use different numbers