Mastering Equations and Inequalities for 6th Grade

Mr. Troxell introduces 6th-grade students to equations and inequalities, focusing on solving one-step equations and graphing inequalities on a number line. The tutorial covers various examples, including finding unknown variables, understanding inequality solutions, and applying these concepts to real-life scenarios. Students learn to solve equations by isolating variables and graph inequalities by interpreting number lines. The video emphasizes the importance of understanding mathematical operations and their applications in everyday situations.

If x + y = 68 and x = 19, what equation can we use to find y?

• y - 19 = 68

• y = 68 - 19

• x + 19 = y

• 19 + y = 68

Name added 30 to Connor's fish count for a total of 52. How do we find Connor's original number of fish?

• 30 + n = 52

• 52 - n = 30

• n - 30 = 52

• 52 - 30 = n

What is the value of y when 0.8y = 8?

• 0.1

• 8.8

• 10

• 64

Which inequality represents the value of v on the number line starting at 30 and filled in to the right?

• v ≤ 30

• v ≥ 30

• v < 30

• v > 30

John uses more than 24 feet of wood for his project. Which inequality represents this?

• x > 24

• x < 24

• x = 24

• x ≥ 24

For the inequality n > 20, how many solutions are possible?

• Infinite

• 10

• 100

• 20

Which number squared and then multiplied by 6 is less than 60?

• 4

• 6

• 5

• 3

Lori owns 4x - 3 video games, and Nathan owns x games. Which statement is true?

• Lori owns 3 less than four times Nathan's games

• Nathan owns 3 more than Lori

• Lori and Nathan own the same number of games

• Nathan owns four times more games than Lori

If y + 63 = 119, what is the value of y?

• 56

• 119

• 182

• 63

Solve for w in the equation 5/8 + w = 29/8.

• 3

• 5

• 24

• 34