1.1 Integers and Rational Numbers

12.2. Solving Linear Systems by Substitution www.ck12.org6. Solve thesystem:3x + 5y = −3x + 2y = − 4 37. Solve thesystem:x − y = − 12 52x + 5y = −28. Of the two non-right angles in a right angled triangle, one measures twice as many degrees as the other. Whatare the angles?9. The sum of two numbers is 70. They differ by 11. What are the numbers?10. A number plus half of another number equals 6; twice the first number minus three times the second numberequals 4. What are the numbers?11. A rectangular field is enclosed by a fence on three sides and a wall on the fourth side. The total length of thefence is 320 yards. If the field has a total perimeter of 400 yards, what are the dimensions of the field?12. A ray cuts a line forming two angles. The difference between the two angles is 18 ◦ . What does each anglemeasure?24813. I have $15 and wish to buy five pounds of mixed nuts for a party. Peanuts cost $2.20 per pound. Cashews cost$4.70 per pound.(a) How many pounds of each should I buy?(b) If I suddenly realize I need to set aside $5 to buy chips, can I still buy 5 pounds of nuts with the remaining$10?(c) Whats the greatest amount of nuts I can buy?14. A chemistry experiment calls for one liter of sulfuric acid at a 15% concentration, but the supply room onlystocks sulfuric acid in concentrations of 10% and 35%.(a) How many liters of each should be mixed to give the acid needed for the experiment?(b) How many liters should be mixed to give two liters at a 15% concentration?