PSAT 8/9 Math Grid-Ins Practice Test 2

1. –8x + 3y = 20

–4x – 2y = 3

The ordered pair (x, y) is a solution to the system of equations above. What is the value of y?

2. y = –3x² + x =

What is the value of the y-intercept of the equation above when it is graphed in the xy-plane?

3. A class with 9 students went to a local museum. Each student bought a general admission ticket for $10. Each special exhibit ticket at the museum costs the same price, and 2 students bought 4 special exhibit tickets each, while 7 students bought 3 special exhibit tickets each. The total cost for the general admission tickets and special exhibit tickets was $177.00. What was the cost, in dollars, of each special exhibit ticket? (Note: Disregard the $ sign when gridding your answer.)

4. A cafe sells drink vouchers for a private event. A voucher for one drink costs $6 and a voucher for two drinks costs $10. A total of 89 drinks were purchased with vouchers, and the voucher sales total was $462. What is the total number of vouchers that were sold?

5. –3a + 6b = 1.8

4a – 3b = 1.1

The ordered pair (a, b) is a solution to the system of equations above. What is the value of b?

6. A restaurant surveyed its customers to determine which beverage was most popular with breakfast. Participants were required to choose either coffee or tea. The partially completed table below shows the breakdown by age of a sample of 116 people who responded to a survey on their drink preferences.

Breakdown of Customers’ Drink Preferences

Among all the people represented in the survey, 25.6% of the people who chose coffee as their preferred beverage were 45–64 years old. What is the total number of people ages 18–29 who voted for either coffee or tea in the survey?

7. A restaurant surveyed its customers to determine which beverage was most popular with breakfast. Participants were required to choose either coffee or tea. The partially completed table below shows the breakdown by age of a sample of 116 people who responded to a survey on their drink preferences.

Breakdown of Customers’ Drink Preferences

What is the total number of people from the sample who chose coffee as their preferred beverage?