Solving Equations and Inequalities in Algebra 2

The video tutorial covers solving equations and inequalities, starting with a humorous story involving a character named Sully. It reviews solving linear equations, explains inequalities and graphing techniques, and discusses compound inequalities. The tutorial includes practice problems to reinforce the concepts taught.

What was the teacher's Twitter handle mentioned in the story?

• @algebrageeks

• @mathbros

• @algebros

• @mathgeeks

When solving the inequality 9x - 7i > 9x - 21u, what is the first step?

• Divide by -7

• Multiply by -7

• Subtract 9x from both sides

• Add 21u to both sides

In the equation n - 2 + 8n = 7, what is the combined term for n?

• 7n

• 9n

• 10n

• 8n

What is the LCM of 4 and 2 in the equation involving fractions?

• 8

• 6

• 4

• 2

When graphing x > -3, what type of circle is used on the number line?

• No circle

• Half-filled circle

• Closed circle

• Open circle

How do you read the inequality d > 3?

• 3 is less than d

• d is less than 3

• 3 is greater than d

• d is greater than 3

What is the solution to the compound inequality -33 ≤ 6k - 3 ≤ 57 after adding 3 to each part?

• -36 ≤ 6k ≤ 60

• -30 ≤ 6k ≤ 54

• -36 ≤ 6k ≤ 54

• -30 ≤ 6k ≤ 60

When solving the inequality -4x ≤ 4, what must you remember to do after dividing by -4?

• Add 4 to both sides

• Subtract 4 from both sides

• Switch the inequality sign

• Multiply by -4

In the compound inequality -5 ≤ k ≤ 10, what type of circles are used on the number line?

• No circles

• Open circles

• Closed circles

• One open and one closed circle

What is the final solution to the inequality 5 - 2v ≤ 2 after solving for v?

• -1 ≤ v ≤ 9

• v ≥ 9

• -1 ≤ v

• v ≤ -1