3.1 Homework - Solve Systems by Graphing and Substitution [Learning Target 3a] Khan Academy: Systems of Equations with Graphing Khan Academy: Systems of Equations with Substitution 1. Solve and classify the following systems by graphing: ( 2x - y = 2 a. (4x - 2y = 4 [x= - 3 b. (y = 5 (-4x + 4y = 28 9x - 9y = 27 c. 2. Solve and classify the following systems by substitution: (y= - 5+ 3x a. (2x + 5y = - 8 b. 2 y = - 7 + -x 3 c. (0.25x + 4.975 = y 3x - 5y = 35 - 3x - y = - 31.1 d. [5x - 2y = 10 · [ 3x + 2y = 6 ( -7x + y = - 9 (21x - 3y = - 24 d. 3. Create a system of inequalities [not from the notes or homework] that is ... a. Consistent Independent b. Consistent Dependent c. Inconsistent 4. An oak's age is 10 more than twice the age of a pine tree. The sum of their age is 19. Find the age of each tree. 5. The larger of two numbers is 8 more than 4 times the smaller. If the larger is increased by four times the smaller, the result is 40. Find the value of each number. 6. The sum of two numbers is 11. The difference of two numbers is 35. What is the product of these numbers? 3.2 Homework - Solve Systems by Elimination [Learning Target 3a] LJ Khan Academy: Systems of Equations with Elimination 1. Solve and classify the following systems using elimination: a. [ 2x + 5y = 6 (2x - 3y = 22 § 4x - 8y = 5 - 3x + 2y = 12 b. 1-3x + 6y = 11 c. (-6x - 4y = - 24 2. Solve and classify the following systems by any method: a. y= 15 + 8x (-10x - 5y = - 30 b. 5 4x + 3y = 7 (10x - 5y = 40 9 -x - - y = 3 -x + y = 2 9
3. You love to read and decided to attend the local library book sale this past summer. You were so excited at all the books they had on sale, especially when paperbacks cost $0.50 and hardcovers cost $1.00. If you bought four times as many paperbacks as hardcover books and spent $27, how many books did you buy? 4. A test has twenty questions and is worth a total of 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple-choice questions are on the test? 5. You are buying decorations for a birthday party. The before-tax total for 3 rolls of crepe paper and 20 balloons is $11.40. After you start decorating, you need more supplies. You buy 2 more rolls of crepe paper and 12 more balloons, which cost $7.04