2 Which graph shows the solution to the following
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1 1 In order for Josh to graph the solution to the inequality 4x 2y > 6, which of the following steps does he need to use? Select all that apply. A. Shade above the line. B. Draw the line y = 2x 3 as a solid line. C. Solve the inequality as y < 2x 3. D. Solve the inequality as y > 2x 3. E. Draw the line y = 2x 3 as a dashed line. F. Shade below the line. 2 Which graph shows the solution to the following system? A. B. C. D. Generated On March 4, 2014, 11:28 AM PST Page 1
2 3 Examine the following graphed system of linear inequalities. 5 The graph below shows the solution to a system of linear inequalities. Select the solution(s) to the system of inequalities from the following points. Select all that apply. A. ( 5, 3) B. (0, 4) C. (1, 2) D. ( 8, 1) 4 Which of these is a solution to the system of inequalities graphed below? A. Based on the intersection of corresponding half planes, which inequalities are represented in the graph? Select all that apply. y > 1 4 x 1 B. y > 3x + 2 C. y < 3x + 2 D. y 1 x 1 4 E. y 1 4 x 1 F. y 3x + 2 A. ( 8, 4) B. ( 10, 6) C. ( 18, 8) D. ( 2, 6) Generated On March 4, 2014, 11:28 AM PST Page 2
3 6 The solution set to which of these systems of inequalities is graphed below? A. y x + 5 and y 5x + 5 B. y x + 5 and y 5x + 5 C. y x + 5 and y 5x + 5 D. y x + 5 and y 5x The solution set to which of these systems of inequalities is graphed below? 8 You are planning a birthday party. Pizzeria Uno offers two party packages: Package A - Cost: $6 per person for pizza and breadsticks plus $30 for cake. Package B - Cost: $8 per person for pizza and breadsticks and cake included. For how many people will the two packages cost the same? A. 120 B. 15 C. 20 D A business bought some compact cars that cost $15,000 each, and some full sized cars, that cost $23,000 each. A total of 20 cars were bought, for $372,000. How many compact cars did the business buy? A. 4 B. 11 C. 24 D. 0 A. y > x 6 and y > 3x 6 B. y < x 6 and y < 3x 6 C. y < x 6 and y > 3x 6 D. y > x 6 and y < 3x 6 Generated On March 4, 2014, 11:28 AM PST Page 3
4 10 Josh needs to solve the system of equations below. 12 Identify the solution to the system of equations below. He decides to use the elimination method to cancel out the x terms in order to first solve for y. Josh uses the following steps: Step 1: 4x + 5y = 7 2(2x) 3y = 9 Step 2: 4x + 5y = 7 4x 3y = 9 Step 3: 2y = 16 Step 4: y = 8 Did Josh use the correct steps to solve for y? A. No, Josh should have multiplied 2x by 2 instead of by 2. B. No, Josh should have multiplied the entire second equation by 2. C. No, Josh should have multiplied the entire second equation by 2. D. Yes, Josh correctly solved for y. A. (0, 0) B. infinitely many solutions C. (9, 9) D. no solution 13 Leslie determined that the system of equations below has infinitely many solutions. Is she correct? A. No, the system of equations has no solution. B. No, the solution is (0, 16). C. No, the solution is ( 8, 24). D. Yes, Leslie is correct. 14 Solve the system of equations below. 11 Solve the system: A. (-8, 9) B. (0, -1) C. (-8, 5) D. (0, 1) A. (9, 15) B. (0, 3) C. (4, 5) D. ( 1, 5) 15 Find the solution to the following system of equations: A. (5, 3) B. ( 7, 3) C. (1, 1) D. (13, 7) Generated On March 4, 2014, 11:28 AM PST Page 4
5 16 Solve the system: A. (-4, -3) B. (1, -5) C. (-2, -7) D. (-2, 1) 17 Which system of equations generates two lines that intersect at the point (2, 5)? A. 10x + 4y = 20 15x + 6y = 30 B. 6x + 3y = 27 4x 5y = 17 C. 3x 4y = 7 4x + 7y = 34 D. 2x + 5y = 10 2x + 5y = 4 Generated On March 4, 2014, 11:28 AM PST Page 5
6 18 Graph the solution to the system of equations below. A. C. B. D. Generated On March 4, 2014, 11:28 AM PST Page 6
7 19 Which graph represents the solution to the following system of equations? A. C. B. D. Generated On March 4, 2014, 11:28 AM PST Page 7
8 20 Plot the system of equations to estimate the intersection point of the two lines. A. ( 2, 2) C. ( 2, 1) B. (2, 2) D. ( 2, 1) Stop: You have finished the assessment. Generated On March 4, 2014, 11:28 AM PST Page 8
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Power Packet. Algebra 1 Unit 5. Name
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