Mathematics - Inequality Problem

Which inequality is true when x = 4?

• 3 - 2x < -5

• 1 - 4x > -14

• -5 - 3x < 10

• -4 + 5x > 18

The figure shows a rectangle inscribed in a circle that has a diameter of 10 feet. Which measurement is closest to the area of the shaded portion of the figure in square feet?

• 314 ft²

• 78.5 ft²

• 266 ft²

• 30.5 ft²

An animal rescue group recorded the number of adoptions that occurred each week for three weeks: - There were x adoptions during the first week. - There were 10 more adoptions during the second week than during the first week. - There were twice as many adoptions during the third week as during the first week. There were a total of at least 50 adoptions from the animal rescue group during the three weeks. Which inequality represents all possible values of x, the number of adoptions from the animal rescue group during the first week?

• 4x + 10 ≤ 50

• 4x + 10 ≥ 50

• 3x + 10 ≤ 50

• 3x + 10 ≥ 50

A composite figure is made up of two rectangles and a right triangle. The figure and its dimensions in centimeters are shown in the diagram. What is the area of the composite figure in square centimeters?

• 336 cm²

• 360 cm²

• 312 cm²

• 344 cm²

What is the solution to the equation 0.5x - 1.25 = 3.5?

• x = 9.5

• x = 8.5

• x = 10.5

• x = 7.5

Mr. Kumar conducted a random survey asking 80 students which elective class they prefer. The results are shown in the bar graph. Which inference about the data is best supported by this information?

• More eighth-grade students prefer art as an elective than prefer band or theater.

• Fewer seventh-grade students prefer band or theater as an elective than prefer art.

• Half as many seventh-grade students as eighth-grade students prefer theater as an elective.

• Twice as many seventh-grade students as eighth-grade students prefer band as an elective.

A pyramid has a square base with a side length of 7 centimeters. If the volume of the pyramid is 196 cubic centimeters, what is its height in centimeters?

• 4 cm

• 12 cm

• 8 cm

• 21 cm

Based on the results in the table, which statement about the favorite type of nuts of a randomly selected customer is true?

• The customer is 4 times as likely to prefer cashews as to prefer pistachios.

• The customer is more likely to prefer cashews or pecans than to prefer almonds.

• The customer is less likely to prefer pecans or pistachios than to prefer cashews.

The circumference of a circular disk is approximately 67.23 centimeters. The diameter of the disk is 21.4 centimeters. Which ratio best represents the value of π?

• A) 21.4/67.23

• B) 67.23/21.4

• C) 10.7/67.23

• D) 67.23/10.7

What is the value of -8(1 1/2) + 2(2 1/4)?

• -10

• -9

• -8.5

• -7