Solving Equations and Inequalities

Mrs. Becker introduces lesson 25, focusing on finding solutions to make equations and inequalities true. The lesson covers solving equations using inverse operations and determining the range of solutions for inequalities. Examples A through D illustrate these concepts, and students are encouraged to practice similar problems. The lesson concludes with instructions for completing workbook exercises and a reminder to contact Mrs. Becker with questions.

What is the main goal when finding solutions for equations and inequalities?

• To identify values that make the statements false

• To rewrite the equations in a different form

• To find multiple solutions for each equation

• To identify values that make the statements true

In the equation 3 + G = 15, what is the value of G?

• 18

• 15

• 12

• 10

For the inequality 30 > 2D, which of the following is true?

• D must be less than 15

• D must be greater than 15

• D can be any value

• D must be equal to 15

In the inequality 15/F < 5, what can be said about F?

• F must be equal to 3

• F must be less than 3

• F can be any value

• F must be greater than 3

What is the solution for the equation 42 ≤ 50 - M?

• M is greater than 8

• M is less than or equal to 8

• M is equal to 8

• M is less than 8

In the equation N + 26 = 32, what is the value of N?

• 6

• 8

• 10

• 12

For the equation N - 12 = 32, what is the correct value of N?

• 20

• 56

• 44

• 32

What is the value of N in the equation 17N = 51?

• 2

• 1

• 3

• 4

In the equation 4^2 = N, what is the value of N?

• 20

• 12

• 8

• 16

What is the value of N in the equation N/3 = 5?

• 10

• 12

• 18

• 15