PSAT practice test #1

A pharmacist filled 5 prescriptions in 20 minutes.  At this rate, how many prescriptions would the pharmacist expect to gill in 2 hours?

• 15
• 25
• 30
• 35

Tags

CCSS.6.RP.A.3B

Which of the following is equivalent to 3(x + 5)-6

• 3x-3
• 3x-1
• 3x+9
• 15x-6

Tags

CCSS.6.NS.B.4

If 6x= 25, what is the value of 3(x+ 1/2)?

• 53/6
• 51/2
• 13
• 14

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Martin spent $855 on expenses for a trip.  The expenses included hotel, rental car, and meals. He spent 50% more for the hotel than for the rental car and meals combined.  What did Martin spend on his hotel?

• $570
• $513
• $214
• $155

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.4

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

In an Italian class, 65% of the students were women.  At the end of the class, 52% of the men and 44% of the women received a certificate.  What percentage of the class received a certificate?

• 96%
• 47%
• 50%
• 8%

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

CCSS.6.SP.A.3

CCSS.6.SP.B.5

A tank is completely filled with water.  A pump is used to drain the tank.  The amount of water remaining in the tank is given by the equation y=600-25x, where x is the number of minutes since the pump started and y is the volume, in gallons, of water remaining in the tank.  In the equation, what are the meanings of the numbers 25 and 600?

• The number 25 is the number of minutes it will take to drain the tank, which holds 600 gallons of water.
• The number 25 is the rate of increase, in gallons per minute, of the flow from the tank, which holds 600 gallons of water.
• The number 25 is the rate of increase, in gallons per minute, in the volume of water in the tank, which started at 600 gallons.
• The number 25 is the rate of decrease, in gallons per minute, in the volume of water in the tank, which started at 600 gallons.

Tags

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7

Louis bought two movies at his local store.  The regular price for each movie was r dollars.  The store charged Louis the regular price for the first movies and gave him a 25 percent discount on the second movie.  He was charged 8 percent sales tax on the entire purchase.  Which of the following expressions gives the total, in dollars, Louis paid, including sales tax?

• 1.08r + 0.75r
• 1.08(2(0.75r))
• 1.08(r + 0.75r)
• 1.08(r - 0.25r)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3

The resale value of a car is expected to decrease by 15 percent from one year to the next from the year the car is purchased.  What type of relationship should be expected between the age of a car and the resale value?

• Linear relationship whose graph has a positive slope
• Linear relationship whose graph has a negative slope
• Quadratic relationship in which higher resale values of a car correspond to lower age values of the car
• Exponential relationship in which lower resale values of a car correspond to higher age values of the car

Tags

CCSS.HSF.LE.A.1

3(x+y)=y
If (x,y) is a solution to the equation above and y does not equal 0, what is the ratio x/y ?

• -4/3
• -2/3
• 1/3
• 2/3

Tags

CCSS.HSA.CED.A.4

CCSS.HSA.REI.C.6

In a certain game, a player can solve easy or hard puzzles.  A player earns 30 points for solving an easy puzzle and 60 points for solving a hard puzzle.  Tina solved a total of 50 puzzles playing this game, earning 1,950 points in all.  How many hard puzzles did Tina solve?

• 10
• 15
• 25
• 35

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6