Solving Equations and Inequalities

This video tutorial covers solving equations and inequalities in sixth-grade math. It begins with an introduction to the lesson objectives, followed by detailed steps to solve various equations and inequalities. The video includes examples where students evaluate numbers to determine if they satisfy given conditions. Finally, practice exercises are provided to reinforce the concepts learned.

What is the primary goal when solving an equation or inequality?

• To find the variable's value that makes the statement false

• To eliminate the variable

• To find the variable's value that makes the statement true

• To change the variable's value

If y + 6 = 16, what must y equal for the equation to be true?

• 16

• 10

• 6

• 0

For the inequality y + 6 > 16, which of the following is true?

• y must be less than 10

• y must be equal to 10

• y must be less than or equal to 10

• y must be greater than 10

What is the value of g that makes the equation 3g = 15 true?

• 3

• 5

• 15

• 0

In the inequality 3g < 15, which value of g makes it true?

• g is greater than 5

• g is equal to 5

• g is less than 5

• g is greater than or equal to 5

Which number makes the equation m + 4 = 12 true?

• 0

• 12

• 3

• 8

For the inequality m + 4 < 12, which numbers make it true?

• None of these

• 12, 14, 16

• 8, 10, 14

• 0, 3, 5

What is the solution for h in the equation 5h = 40?

• h = 5

• h = 8

• h = 10

• h = 40

Which values of y satisfy the inequality 1/2y ≥ 5?

• y = 10

• y ≥ 10

• y < 10

• y ≤ 10

For the equation k - 3 = 20, what is the value of k?

• k = 17

• k = 23

• k = 26

• k = 20