Solving Linear Equations and Inequalities

Mrs. Becker introduces lesson 33, which builds on lesson 23, focusing on equations and inequalities. The lesson covers identifying true and false statements in equations and inequalities, using examples with variables. Students are guided through exercises on page 190, involving sets and inequalities, and are instructed to complete a problem set and submit their work.

What is the only value of y that makes the equation y + 6 = 16 true?

• 8

• 10

• 12

• 14

For the inequality y + 6 > 16, which value of y makes the statement true?

• 12

• 11

• 10

• 9

If 3G = 15, what is the value of G?

• 6

• 5

• 4

• 3

Which of the following values of G makes the inequality 3G < 15 true?

• 7

• 6

• 5

• 4

What is the solution to the equation M + 4 = 12?

• 6

• 7

• 9

• 8

Which numbers from the set {0, 3, 5, 8, 10, 14} make the inequality M + 4 < 12 true?

• 3, 5, 8

• 5, 8, 10

• 8, 10

• 0, 3, 5

For the equation F - 4 = 2, what is the value of F?

• 7

• 5

• 4

• 6

Which value of H satisfies the equation 1/2H = 8?

• 12

• 14

• 18

• 16

In the inequality 1/2H > 8, which value of H from the set {0, 3, 5, 8, 10, 14} makes it true?

• 10

• 12

• 14

• 16

What is the solution to the inequality K - 3 > 20?

• 23

• 22

• 21

• 24