Name _______________________ Solve each linear system by graphing. 1 𝑦 =− 𝑥+2 1. 2 3 𝑦 = 𝑥+7 4 : 2𝑥 − 4𝑦 = 8 2. 1 𝑦 =− 𝑥+2 2 Unit 5 Review Sheet Solve each linear system by substitution. 3. 𝑥 − 2𝑦 = −2 3𝑥 + 2𝑦 = 30 4. 4𝑥 − 3𝑦 = 11 𝑦 − 𝑥 = −2 Solve each linear substitution by elimination. 5. 2𝑥 + 1.5𝑦 = 1 9𝑥 + 3𝑦 = −3 6. 𝑥 + 𝑦 = 10 −3𝑥 + 3𝑦 = 0 Solve each linear system by any method. 7. -2x + y = -5 4x – 2y = 10 8. 5x + 3y = 13 7x + 8y = -16 Solve each word problem by creating two equations that contain the same two variables. 9. Last week at the supermarket, Mr. Capp bought 10 hamburgers and 3 turkey burgers for $23.50. This week Mr. Capp bought 6 hamburgers and 4 turkey burgers for $18.50. What is the price of each hamburger and each chicken burger? 10. During a promotion, a music company gave away a total of 200 t-shirts and MP3 players. The t-shirts cost $5 each and the MP3s cost $40 dollars each for a total cost of $2400. How many of each item did the music company give away? Solve each system of linear inequalities, circle the double shaded region. 11. y 4x 7 1 y x 1 7 12. 3x 3 y 6 2 x y 2 13. What is the inequality of the graph below? _____________________ 14. The science club is selling shirts for $10 and key chains for $2. Their goal is to raise at least $200! Create and graph an inequality to model the situation. What is a possible combination of shirts and key chains they could sell to meet or exceed their goal? 15. Sam earns $10 per hour babysitting and $15 per hour working at Target. Her goal is to earn at least $1,000 by the end of the month, however she wants to work no more than 80 hours. Write and graph a system of inequalities to show the possible number of hours that she can work at each job and make at least 1,000. Let x represent hours babysitting and y represent hours at Target. (Hint you must create two inequalities)