Inequalities and Functions Assessment

The video tutorial covers solving inequalities, analyzing concert ticket pricing, evaluating inequalities with specific values, graphing inequalities on a number line, creating equations from tape diagrams, solving equations related to sugar reduction in recipes, and calculating percentage increase in height.

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

• -10 < x

• x > -10

• x < -10

• -10 > x

Why does the inequality sign change when dividing by a negative number?

• Because the inequality becomes an equation.

• It doesn't change.

• To make the solution positive.

• To maintain the inequality's truth.

What ticket price does the band director claim is necessary for at least 600 attendees?

• $6

• $8

• $5

• $10

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

• Attendance decreases to 575.

• Attendance increases to 800.

• Attendance increases to 700.

• Attendance remains at 600.

Which inequality is true when x is -3?

• Negative x - 6 > 3.5

• Negative x - 6 < -3.5

• Negative x - 6 > -3.5

• x - 6 > -3.5

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

• An open circle at 5 with an arrow pointing right.

• A filled circle at 5 with an arrow pointing right.

• A filled circle at 5 with an arrow pointing left.

• An open circle at 5 with an arrow pointing left.

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

• A filled circle at 2.5 with an arrow pointing left.

• 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.

What equation represents the tape diagram with 19 + 7x = 40?

• 40 = 7x - 19

• 7x = 19 + 40

• 19 = 40 + 7x

• 40 = 19 + 7x

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%