Name:_____________________________________ Date:________________ Unit 5 Test Review Systems of Equations 1. How many solutions do the graphs below have? 0 1 Infinite 0 1 Infinite 0 1 Infinite 2. What is the solution to the following system of equations? _____________ ______________ _____________ 3. Which figure represents both linear functions that make up the equation below? 𝑦 = 𝑥 + 3 𝑎𝑛𝑑 𝑦 = 𝑥 − 2 Name:_____________________________________ Date:________________ Solve the following systems of equations. Real World Application of Systems of Equations Name:_____________________________________ Date:________________ Systems of Inequalities 1. Which graph best represents the solution to this system of inequalities? 𝑥≥𝑦 − 𝑦< 𝑥+ 3 a. b. 2. Which inequality best represents the graph? a. b. c. d. 𝑦≤ − 𝑦≥ − 𝑦 <− 𝑦 >− 𝑥 𝑥 𝑥 𝑥 + − − + 1 1 1 1 3. Which points are NOT part of the solution set for the given graph? (Choose all that apply) a. b. c. d. e. (0, 0) (-5, 5) (5, -5) (8, 0) (0, 8) c. Name:_____________________________________ Date:________________ Shade the solution set to each system of inequalities. 3. Identify all the solutions to the graph of the inequality given. a. b. c. d. e. f. (0, 0) (3, 5) (5, 3) (-3, -5) (-2, 1) (-3, 5) Use a system of inequalities to solve the problem. 1) Patrick washes cars and motorcycles. He changes $6 per car and $3 per motorcycle. He earns no more than $24 per week. Which graph best represents this situation?