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Module 2

Module 2. Test Review. Graph the following Systems of Equations. Y = 3x -5 Y = 1/2x + 2. Solve the System of Equations and Determine the Number of Solutions. Y = x – 2 x - 2y = 4 Answer x = 0 y = -2 or (0, -2) one solution.

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Module 2

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  1. Module 2 Test Review

  2. Graph the following Systems of Equations • Y = 3x -5Y = 1/2x + 2

  3. Solve the System of Equations and Determine the Number of Solutions. • Y = x – 2x - 2y = 4 • Answerx = 0 y = -2 or (0, -2)one solution

  4. What are the three types of solutions that will result from a two variable system of equations? • Answer: One solution, Infinitely many solutions, no solution • How will you know which type of solution you have, and what would the graph look like for each type of solution. • Answer: • One Solution: Different slopes, lines only cross 1 time • Infinite Solutions: Same slope & y-intercept, lines are exactly the same • No Solution: Same slope but different y-intercept, lines are parallel and never cross

  5. Graph the System of Inequalities and name one point that is a solution and one point that is not a solution. • X + 2y ≥ 4y ≥ x – 3

  6. Solve the following System of Equation and Determine the Number of Solutions • -3x + 10y = 52x + 7y = 24 • Answer:x = 5 y = 2 or (5,2)one solution

  7. Graph the System of Inequalities • Y ≥ 1-x + y ≤ 4x + 2y ≤ 8 • Identify one point that is a solution to the system. • How do you know it is a solution?

  8. Student council is selling bracelets for $1 and necklaces $3. They sold 212 total and made $416. How many of each did they sell? • Equations:b + 3n = 416b + n = 212 • Answer:110 Bracelets and 102 Necklaces

  9. Wesley needs to buy chips and salsa for a party this weekend. The chips cost $3 per pound and the salsa costs $8 per pound. Wesley only has $48 to spend on the party. • Write an inequality to represent the cost of the food for the party. • Answer:3c + 8s ≤ 48 • If Wesley knows that people will eat at least 3lbs of salsa, write an inequality for this. • Answer:S ≥ 3 • Graph both inequalities on the same graph. • Identify two possible solutions for the inequalities.

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