Solving Equations and Inequalities

Mrs. Luffy guides students through unit seven listening practice problems, covering inequalities, absolute values, and percentage calculations. The video includes solving inequalities, drawing number lines, evaluating true statements, matching equations to solutions, and calculating percentages of prices.

Which of the following numbers is a solution to the inequality K > 5?

• 5.0

• 5.01

• 4

• 5

How would you represent the speed limit inequality on a number line?

• Open circle at 60, line to the right

• Open circle at 60, line to the left

• Closed circle at 60, line to the right

• Closed circle at 60, line to the left

What is the correct inequality to describe temperatures between 52 and 60 degrees?

• T <= 52 and T >= 60

• T > 52 and T < 60

• T >= 52 and T <= 60

• T < 52 and T > 60

Which statement is true about the absolute value of -5?

• The absolute value of -5 is equal to -5

• -5 is less than the absolute value of -5

• -5 is greater than the absolute value of -5

• The absolute value of -5 is less than -5

Which of the following is true about the absolute value of 7?

• It is equal to the absolute value of 8

• It is greater than the absolute value of 8

• It is less than the absolute value of 8

• It is less than 7

What is the solution to the equation X^4 = 81?

• 4

• 3

• 2

• 5

If Elena's mom buys a phone for $150, what percentage of the usual price did she pay?

• 50%

• 60%

• 80%

• 70%

What is the solution to the equation X^2 = 100?

• 11

• 8

• 9

• 10

If Elena's dad pays 75% of the usual price for a phone, how much does he pay?

• $200

• $187.50

• $175

• $150

What is the solution to the equation X^3 = 64?

• 5

• 2

• 3

• 4