<p> TASC Style Math</p><p>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?</p><p>A. 1.5 people per square mile</p><p>B. 30,000 people per square mile</p><p>C. 15,000 people per square mile</p><p>D. 1,000 people per square mile</p><p>2. Consider this cylinder with a diameter of 20 inches. What is the best estimate of the volume of this cylinder?</p><p>10 in</p><p>A. 3500 in3</p><p>B. 200 in3</p><p>C. 3140 in3</p><p>D. 30 in3</p><p>3. Which expression below is equivalent to </p><p>PCAP/LAGCC/CUNY | © 2014 | WWW.LAGCC.CUNY.EDU/PCAP A. x13</p><p>B. x15</p><p>C. x10</p><p>D. x30</p><p>4. What is the value of X that makes this equation true? Please bubble in your answer on the answer sheet.</p><p>3(7 + x) = 30</p><p>5. Consider this system of linear equations.</p><p>3x – 2y = 7</p><p>2x – 7y = -1</p><p>What is the solution to the system of linear equations? </p><p>A. x = 3; y = 1</p><p>B. x = – 3; y = 1</p><p>C. x = – 3; y = –1</p><p>D. x = 3; y = –1</p><p>6. Consider this function.</p><p> f (x) = – 2 x + 7</p><p>PCAP/LAGCC/CUNY | © 2014 | WWW.LAGCC.CUNY.EDU/PCAP What is f (− 3)?</p><p>A. 12</p><p>B. 1</p><p>C. 0</p><p>D. 13</p><p>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. </p><p>What does the length of the hypotenuse leg of the park need to measure to ensure that it is a right triangle?</p><p>A. feet</p><p>B. 100 feet</p><p>C. 360 feet</p><p>D. feet</p><p>8. What is the solution to the equation </p><p>2(x – 10) + 4 = – 6x + 2</p><p>9 A. – /2 </p><p>B. 1</p><p>5 C. /2 </p><p>9 D. /4</p><p>PCAP/LAGCC/CUNY | © 2014 | WWW.LAGCC.CUNY.EDU/PCAP 9. Based on the graph and chart below, what test number yielded four times the length of batch two than batch one?</p><p>A. Test number 3</p><p>B. Test number 6</p><p>C. Test number 7</p><p>D. Test number 4</p><p>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.</p><p>PCAP/LAGCC/CUNY | © 2014 | WWW.LAGCC.CUNY.EDU/PCAP 11. Based on the line graph below, during 2004 how many months was the price of gas below 1.90 per gallon?</p><p>A. 4 months</p><p>B. 7 months</p><p>C. 10 months</p><p>D. 3 months</p><p>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?</p><p>A. x + 50 = 70</p><p>B. 20 + 50 = x</p><p>C. x – 20 = 50</p><p>D. 50 – 20 = x</p><p>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?</p><p>A. C = S – 900 S + C = 1200</p><p>B. C = S + 900 S – C = 1200</p><p>C. C = S + 900 S + C = 1200</p><p>D. C = S + 1200 S – C = 900</p><p>PCAP/LAGCC/CUNY | © 2014 | WWW.LAGCC.CUNY.EDU/PCAP 14. The time, T, it takes for 2 people working together to complete a job is given by </p><p>T = 1 r1 + r2 </p><p>In the equation </p><p>• r1 is the work rate of the first person</p><p>• r2 is the work rate of the second person</p><p>Which formula could be used to find r1 if you knew the values for T and r2?</p><p>A. r1 = T - r2 </p><p> r2 </p><p>B. r1 = 1 – Tr2 T</p><p>C. r1 = T - r2</p><p> r2</p><p>D. r1 = Tr2</p><p>T + r2</p><p>PCAP/LAGCC/CUNY | © 2014 | WWW.LAGCC.CUNY.EDU/PCAP 15. Water pours into a tank over a 10-minute period. The function f(x) graphed below models the flow rate, in gallons per minute (GPM). </p><p>Over which of the following intervals does the flow rate increase by the greatest amount?</p><p>A. x = 0 to x = 1</p><p>B. x = 2 to x = 3</p><p>C. x = 4 to x = 5</p><p>D. x = 8 to x = 9</p><p>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? </p><p>A. 1 52</p><p>B. 4 13</p><p>C. 17 52</p><p>D. 5 13</p><p>PCAP/LAGCC/CUNY | © 2014 | WWW.LAGCC.CUNY.EDU/PCAP 17. Consider this polynomial expression.</p><p>(x2 – x + 1) + (2x2 + x – 9)</p><p>What is the sum of the polynomials?</p><p>A. x2 – 8</p><p>B. 3x2 – 8</p><p>C. 3x2 – 2x – 8</p><p>D. 3x2 + 2x – 8</p><p>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? </p><p>Mark your answer in the grid below.</p><p>PCAP/LAGCC/CUNY | © 2014 | WWW.LAGCC.CUNY.EDU/PCAP</p>