AVID PSAT-Math w/c

Eli saves money each month to buy a new computer. The total amount he has saved, T, can be calculated by the equation T = 83 + 30m, where m is the number of months since he started saving. What does the number 83 represent in the equation?

• The amount of money Eli started with

• The number of months Eli has been saving

• The amount of money Eli saves each month

• The total amount of money Eli wants to save

When the equation y = 5x + p, where p is a constant, is graphed in the xy-plane, the line passes through the point (−2, 1). What is the value of p ?

• -9

• -2

• 3

• 11

According to the Department of Agriculture, consuming 100 grams of banana provides

0.15 milligram of zinc. Which of the following is closest to the number of milligrams of zinc provided by 140 grams of banana?

• 0.15

• 0.21

• 0.25

• 0.93

An advertisement states that the printing rate of a certain printer is 400 characters per second. According to the convention that 1 word consists of 5 characters, what would be the advertised printing rate, in words per minute?

• 2,000

• 4,800

• 24,000

• 120,000

(x 2y − 3y 2 + 5xy 2) − (−x 2y + 3xy 2 − 3y2)

Which of the following is equivalent to the expression above?

• 2x^ 2y + 2xy ^2

• 8xy^2 − 6y^2

• 2x^2y + 8xy^2 − 6y^ 2

• x^4y^ 2 + 9xy^4 – 15xy^ 2

• 2 percent

• 7 percent

• 10 percent

• 16 percent

• Both the range and median of Joseph’s bills are less than the range and median of Samuel’s bills.

• Both the range and median of Joseph’s bills are greater than the range and median of Samuel’s bills.

• The range of Joseph’s bills is less than the range of Samuel’s bills, while the median of Joseph’s bills is greater than the median of Samuel’s bills.

• The range of Joseph’s bills is greater than the range of Samuel’s bills, while the median of Joseph’s bills is less than the median of Samuel’s bills

A moving company uses plastic wrap to bundle groups of boxes together. If a portion of plastic wrap that measures 900 inches in length is used to bundle each group of boxes, how many groups of boxes can be bundled using 1,500 feet of the same type of plastic wrap?

• 15

• 20

• 25

• 30

• 190

• 233

• 265

• 390

A circle is graphed in the xy-plane. If the circle has a radius of 3 and the center of the circle is at (4, −2), which of the following could be an equation of the circle?

• (x + 4)^2 + (y − 2)^2 = 3

• (x + 4)^2 − (y − 2)^2 = 3

• (x − 4)^2 + (y + 2)^2 = 9

• (x − 4)^2 − (y + 2)^2 = 9