Writing and Solving Equations

This lesson covers writing equations to represent real-world situations. It begins with modeling scenarios using equations and choosing appropriate variables. Practical examples are provided, such as calculating hours worked or determining the number of tulips. The lesson also explains solving equations with unknowns and highlights the properties of equations. The session concludes with a summary and a preview of the next lesson.

What is the first step in writing an equation to represent a real-world situation?

• Identify the unknowns and assign variables

• Solve the equation immediately

• Ignore the real-world context

• Use only numbers without variables

Why are lowercase 'L' and 'O' typically not used as variables?

• They are reserved for constants

• They can be confused with numbers

• They are too common

• They are difficult to write

If Sophia earned $30 by walking a dog for 'H' hours at $10 per hour, how can you find the number of hours she worked?

• Multiply $30 by $10

• Divide $30 by $10

• Add $30 and $10

• Subtract $10 from $30

Dave planted 36 tulip bulbs, 16 of which are red. How can you find the number of yellow tulips?

• Multiply 16 by the total number of tulips

• Add 16 to the total number of tulips

• Divide 16 by the total number of tulips

• Subtract 16 from the total number of tulips

Bob is 'B' years old, and his brother is half his age. How can you express the brother's age?

• B * 2

• B / 2

• B - 2

• B + 2

Tala read 80 pages of a 135-page book. How can you find the number of pages she has left to read?

• Multiply 80 by 135

• Divide 80 by 135

• Subtract 80 from 135

• Add 80 to 135

A number multiplied by five is 40. How can you express this equation?

• 5n = 40

• n / 5 = 40

• 5 + n = 40

• n - 5 = 40

28 divided by a number is four. How can you express this equation?

• 28 + n = 4

• 28n = 4

• n - 28 = 4

• 28 / n = 4

6 times a number divided by 2 is 9. How can you express this equation?

• 6n / 2 = 9

• 6 / n * 2 = 9

• 6 + n / 2 = 9

• 6n + 2 = 9

25 less than a number is 50. How can you express this equation?

• n + 25 = 50

• n * 25 = 50

• n - 25 = 50

• 25 - n = 50