Height and Inequalities Assessment

The video tutorial covers solving an inequality problem using the zero test, analyzing concert ticket pricing to determine attendance, verifying inequalities with a specific value of x, drawing solution sets for inequalities, and calculating percentage growth in height. Each section provides a step-by-step approach to understanding and solving these mathematical problems.

In the inequality problem, what is the correct direction to shade if x is smaller than -10?

• Do not shade at all

• Shade to the left of -10

• Shade to the right of -10

• Shade both sides of -10

What is the minimum ticket price needed to ensure at least 600 people attend the concert?

• $5 or less

• $8 or less

• $10 or more

• $8 or more

If the ticket price is increased, what is likely to happen to the concert attendance?

• Attendance will double

• Attendance will increase

• Attendance will decrease

• Attendance will remain the same

Which inequality is true when x is substituted with -3?

• Opposite of x minus 6 is greater than 3.5

• Opposite of x minus 6 is greater than -3.5

• Opposite of x minus 6 is equal to -3.5

• Opposite of x minus 6 is less than -3.5

What is the solution set for the inequality x ≤ 5?

• All numbers less than or equal to 5

• All numbers less than 5

• All numbers greater than 5

• All numbers greater than or equal to 5

How is the number 5 divided into halves represented on a number line?

• As 2.5 with an open circle

• As 5 with an open circle

• As 5 with a filled circle

• As 2.5 with a filled circle

What was Claire's height in inches one year ago?

• 60 inches

• 54 inches

• 48 inches

• 58 inches

By how many inches did Claire grow over the year?

• 2 inches

• 4 inches

• 5 inches

• 3 inches

What is the percentage increase in Claire's height from 54 inches to 58 inches?

• 6.4%

• 8.4%

• 5.4%

• 7.4%

What is the constant of proportionality used to calculate the percentage increase in Claire's height?

• 0.60

• 0.48

• 0.54

• 0.58