PSAT Practice Math

Tyra subscribes to an online gaming service that charges a monthly fee of $5.00 and $0.25 per hour for time spent playing premium games. Which of the following functions gives Tyra's cost, in dollars, for a month in which she spends x hours playing premium games? 

• C(x) = 5.25x
• C(x) = 5x + 0.25
• C(x) = 5 + 0.25x
• C(x) = 5 + 25x

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Which ordered pair (x,y) satisfies the system of equations shown below?
2x - y = 6
x + 2y = -2 

• (-6, 2)
• (-2, 2) 
• (2, -2) 
• (4, 2) 

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

A soda company is filling bottles of soda from a tank that contains 500 gallons of soda. At most, how many 20-ounce bottles can be filled from the tank? (1 gallon = 128 ounces) 

• 25
• 78
• 2,560
• 3,200

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSN.Q.A.1

A car traveled at an average speed of 80 miles per hour for 3 hours and consumed fuel at a rate of 34 miles per gallon. Approximately how many gallons of fuel did the car use for the entire 3-hour trip? 

• 3
• 2
• 6
• 7

Tags

CCSS.HSA.SSE.A.1

CCSS.HSN.Q.A.1

A high school basketball team won exactly 65 percent of the games it played during last season. Which of the following could be the total number of games the team played last season? 

• 22
• 20
• 18
• 14

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

110x + y = 1,210
A coffee shop is running a promotion where a number of free coffee samples are given away each day. The equation above can be used to model the number of free coffee samples, y, that remain to be given away x days after the promotion began. What does it mean that (11,0) is a solution to this equation? 

• During the promotion, 11 samples are given away each day. 
• It takes 11 days during the promotion to see 1,210 customers. 
• It takes 11 days during the promotion until none of the samples are remaining. 
• There are 11 samples available at the start of the promotion. 

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

Boyd grows only tomatoes and raspberries in his garden. Last year, he grew 140 pounds of tomatoes and 60 pounds of raspberries. This year, the production, by weight, of tomatoes declined by 20 percent, and the production, by weight, of raspberries declined by 50 percent. By what percentage did the total yield, by weight, of Boyd's garden decline? 

• 29%
• 30%
• 35%
• 70%

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its width. What is the perimeter of Janice's fence if the area of her garden is 5,670 square feet? 

• 342 feet 
• 318 feet 
• 300 feet 
• 270 feet 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

A babysitter earns $8 an hour for babysitting 2 children and an additional $3 tip when both children are put to bed on time.  If the babysitter gets the children to bed on time, what expression could be used to determine how much the babysitter earned?

• 8x+3 where x is the number of hours
• 3x+8 where x is the number of hours
• x(8+2) + 3 where x is the number of children
• 3x+(8+2) where x is the number of children

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.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