Inequalities and Functions Assessment

This video tutorial covers solving inequalities in various contexts, including mathematical modeling for concert ticket pricing, evaluating inequalities with specific values, graphing solutions on a number line, and creating equations from tape diagrams. It also includes practical applications such as reducing sugar in recipes and calculating percentage increases in height.

What is the correct solution to the inequality 5 - 3x > 35?

• x > -10

• -10 > x

• -10 < x

• x < -10

Why do we flip the inequality sign when dividing by a negative number?

• Because dividing by a negative number reverses the order

• Because it simplifies the inequality

• Because it makes the equation easier to solve

• Because it is a rule of thumb

According to the band director's model, what should the ticket price be to ensure at least 600 attendees?

• Exactly $8

• Less than $8

• More than $8

• At least $8

What happens to the expected attendance if the ticket price is set to $8.50?

• Attendance decreases to 575

• Attendance remains at 600

• Attendance increases to 600

• Attendance increases to 725

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

• x minus 6 is greater than -3.5

• Negative x minus 6 is less than -3.5

• Negative x minus 6 is greater than 3.5

• Negative x minus 6 is greater than -3.5

How is the inequality x ≤ 5 represented on a number line?

• A filled circle at 5 with an arrow pointing right

• An open circle at 5 with an arrow pointing right

• An open circle at 5 with an arrow pointing left

• A filled circle at 5 with an arrow pointing left

What does the inequality x < 2.5 look like on a number line?

• An open circle at 2.5 with an arrow pointing right

• An open circle at 2.5 with an arrow pointing left

• A filled circle at 2.5 with an arrow pointing right

• A filled circle at 2.5 with an arrow pointing left

What equation represents the tape diagram with 19 plus 7x equals 40?

• 40 = 7x + 19

• 19 + x = 40

• 40 = 19 + 7x

• 19 + 7x = 40

How much sugar was originally used in each cake recipe?

• 2 cups

• 1.25 cups

• 1.5 cups

• 1 cup

By what percentage did Claire's height increase over the past year?

• 5.4%

• 6.4%

• 7.4%

• 8.4%