Inequalities and Systems

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Mathematics

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Question 1 1. What is the solution set for x - 4 > 2? Question 2 1. What is the solution set for ? Question 3 1. Which graph represents ? Question 4 1. The graph below represents which inequality? Question 5 1. What is the solution set for ? Question 6 1. Which graph represents the solution set for 3x + 2 > 8 and 2x - 3 < 15? Question 7 1. Select the inequality below that is one of the two inequalities use to solve: Question 8 1. Select the graph that represents the solution to the following inequality: Question 9 1. Which of the following is not a solution to the inequality graphed below? (-1, 6) (0, 3) (1, -2) (2, 3) Question 10 1. Which of the following graphs correctly represents ? Question 11 1. Which of the following is the equation of the boundary line shown in the following inequality? Question 12 1. Which of the following inequalities is represented by the following graph? Question 13 1. How many solutions does the system have? infinitely many none one none of the above Question 14 1. Select the system of linear equations that has the solution (-6, 0). Question 15 1. Which point is a solution to the system of equations graphed below? (0, 5) (6.5, 0) (6.5, 5) (6, 5) Question 16 1. Solve the system by graphing. (2, -6) (-2, 6) (6, -2) (-6, 2) Question 17 1. Solve the system by substitution. (2, 3) (3, 2) (3, -2) (-2, 3) Question 18 1. A piggy bank contains nickels and dimes. There are 160 total coins valuing $10.50. Think about a system of equations that can be used to represent the number of nickels and dimes and then think through using substitution to solve the system of equations. How many nickels are in the piggy bank? 99 50 110 1,100 Question 19 1. Solve the following system by elimination, . (5, 7) (-1, 4) Question 20 For her birthday Kendra is given three gift certificates, each worth 333 points, for a music service. In the past Kendra has downloaded five songs and seven videos for a total of 295 points. Another time, she downloaded ten songs and three videos for a total of 150 points. What is the most songs that Kendra can get with her certificates if she doesn’t buy any videos? 40 songs 70 songs 333 songs 3 songs Question 21 1. Which point is a solution to the system of inequalities graphed below? (6, 6) (6, 3) (0, -2) (-6, 4) Question 22 1. Given the following graph of a system of inequalities, which statement below is true of the point (5, -5)? It satisfies all inequalities and is part of the solution set. It satisfies only one of the inequalities and, thus, is part of the solution set. It satisfies only two of the inequalities and, thus, is not part of the solution set. It does not satisfy any of the inequalities and, thus, is not in the solution set. Question 23 1. The librarian’s assistant is given $200 to buy a collection of books for the library. Paperback books cost $3.50 each, and hardcover books cost $8 each. The librarian wants at least 20 hardcover books for the collection. Which of the following systems correctly describes the number of paperbacks (p) and hardcover books (h) the assistant can purchase? Question 24 1. What are the coordinates of the vertices of the solution region for the system ? (3, 4), (4, 6), (7, 3) (3, 4), (3, 7), (6, 4) (4, 3), (4, 6), (7, 3) (4, 3), (3, 7), (6, 4) Question 25 1. Find the maximum and minimum values by evaluating the equation points when the restrictions are as follows: minimum: -9; maximum: 3 minimum: -6; maximum: 3 minimum: 0; maximum: 3 minimum: 0; maximum: 9 at the critical
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