PSAT Diagnostic Test - Module 1 and 2 combined

• x > y

• x < y

• x = y

What is the product of xy given the system of equations below? 4 + y = 32x, y = 2x + 2

• 6

• 12

• 12

• 15

3. Eloise is told by her doctor that she should try to average 9 hours of sleep a night, since that is what a typical teenager needs for optimal mental and physical health. If Eloise has been awake for 126 hours in a given week, how many additional hours of sleep should she have had in order to follow her doctor’s advice?

• 18

• 21

• 24

• 27

• -9, -3

• 6, -4

• 9, 6

• 12, -3

• 7a + 3ab - 10

6. If 2x + 3 = 4, then the value of 6x + 9 is:

• 10

• 12

• 14

• 15

7. If a circle has a diameter of 8 centimeters, then its circumference rounded to the nearest whole centimeter is:

• 25 centimeters

• 24 centimeters

• 26 centimeters

• 23 centimeters

• 0.07(25,000 - 5,000)

• 0.07(25,000) + 5,000

• 1.07(25,000 - 5,000)

• 1.7(25,000 + 5,000)

Which of the following operations could we perform on both sides of the inequality -2x > 4 in order to make it necessary to change the direction of the inequality sign while keeping x on the left hand side of the inequality?

• Add 4

• Subtract 7

• Multiply by 12

• Divide by -2

What is the equation of the line made up of x-y values?

• y = 4x - 2

• y = 2x

• y = -2x + 4

• y = -4x + 2