AI Linear Functions and Volume Study Guide

Solve the linear equation: 3x - 5 = 10

• x = 3

• x = 7

• x = 5

• x = 2

What is the slope-intercept form of the linear function with a slope of 4 and y-intercept of -2?

• y = 4x - 2

• y = 4x + 2

• y = -4x - 2

• y = 2x + 4

Apply the linear function y = 3x - 2 to a real-life situation.

• Calculating the cost of an item based on the quantity purchased

• Counting the number of people in a room

• Determining the speed of a moving object

• Measuring the temperature of a liquid

Calculate the volume of a cylinder with radius 5 cm and height 10 cm.

• 500 cm³

• 785 cm³

• 250 cm³

• 150 cm³

Find the volume of a cone with radius 6 cm and height 8 cm.

• 48π cm^3

• 144π cm^3

• 96π cm^3

• 64π cm^3

Determine the volume of a sphere with radius 4 cm.

• 16.75 cm^3

• 100.48 cm^3

• 40.27 cm^3

• 268.08 cm^3

Solve the linear equation: 2x + 7 = 15

• x = 6

• x = 4

• x = 3

• x = 10

What is the slope-intercept form of the linear function with a slope of -3 and y-intercept of 6?

• y = 3x + 6

• y = -3x + 6

• y = -3x - 6

• y = -6x + 3

What is the area of a circle with a radius of 8 cm?

• 64π cm²

• 16π cm²

• 256π cm²

• 32π cm²

If the equation of a line is y = 2x + 5, what is the y-intercept?

• 2

• 5

• -2

• -5