1. the Population of a City That Is 100 Square Miles Is 1.5 Million People. What Is The

TASC Style Math

1. The population of a city that is 100 square miles is 1.5 million people. What is the population density per square mile of the city?

A. 1.5 people per square mile

B. 30,000 people per square mile

C. 15,000 people per square mile

D. 1,000 people per square mile

2. Consider this cylinder with a diameter of 20 inches. What is the best estimate of the volume of this cylinder?

10 in

A. 3500 in3

B. 200 in3

C. 3140 in3

D. 30 in3

3. Which expression below is equivalent to

B. x15

C. x10

D. x30

4. What is the value of X that makes this equation true? Please bubble in your answer on the answer sheet.

3(7 + x) = 30

5. Consider this system of linear equations.

3x – 2y = 7

2x – 7y = -1

What is the solution to the system of linear equations?

A. x = 3; y = 1

B. x = – 3; y = 1

C. x = – 3; y = –1

D. x = 3; y = –1

6. Consider this function.

f (x) = – 2 x + 7

A. 12

B. 1

C. 0

D. 13

7. The Parks Department is planning to install a grass park in the shape of a right triangle. The length of one leg of the park will measure 60 feet and the length of the other leg of the park will measure 40 feet.

What does the length of the hypotenuse leg of the park need to measure to ensure that it is a right triangle?

A. feet

B. 100 feet

C. 360 feet

D. feet

8. What is the solution to the equation

2(x – 10) + 4 = – 6x + 2

9 A. – /2

B. 1

5 C. /2

9 D. /4

A. Test number 3

B. Test number 6

C. Test number 7

D. Test number 4

10. Based on the graph and chart above, what was the average length in millimeters of Batch 1? Please bubble in your answer on the answer sheet.

A. 4 months

B. 7 months

C. 10 months

D. 3 months

PCAP/LAGCC/CUNY | © 2014 | WWW.LAGCC.CUNY.EDU/PCAP 12. A customer pays 50 dollars for a coffeemaker after a 20 dollar discount. Let x represent the original cost of the coffee maker. Which of the following equations will determine the original cost of the coffee maker?

A. x + 50 = 70

B. 20 + 50 = x

C. x – 20 = 50

D. 50 – 20 = x

13. The price of a certain sofa, S, is $900 more than the price of a chair, C. The total price for the sofa and chair is $1200. Which system of equations can be used to find the price of each piece of furniture?

A. C = S – 900 S + C = 1200

B. C = S + 900 S – C = 1200

C. C = S + 900 S + C = 1200

D. C = S + 1200 S – C = 900

T = 1 r1 + r2

In the equation

• r1 is the work rate of the first person

• r2 is the work rate of the second person

Which formula could be used to find r1 if you knew the values for T and r2?

A. r1 = T - r2

B. r1 = 1 – Tr2 T

C. r1 = T - r2

D. r1 = Tr2

T + r2

Over which of the following intervals does the flow rate increase by the greatest amount?

A. x = 0 to x = 1

B. x = 2 to x = 3

C. x = 4 to x = 5

D. x = 8 to x = 9

16. A standard deck of 52 cards holds 4 cards each of twos through aces in four equal-sized suits—hearts, diamonds, clubs, and spades. If you choose a card at random, what is the probability of choosing an ace or a heart?

A. 1 52

B. 4 13

C. 17 52

D. 5 13

(x2 – x + 1) + (2x2 + x – 9)

What is the sum of the polynomials?

A. x2 – 8

B. 3x2 – 8

C. 3x2 – 2x – 8

D. 3x2 + 2x – 8

18. Steve has 10 U.S. coins in his pocket. Half of the coins are dimes, and the value of all 10 coins is $0.95. How many nickels does Steve have?

Mark your answer in the grid below.