MTH-4101-2 B                              Equations & Inequalities II1. Without calculating, what is the solution of the s...
4. Solve graphically the system of equations. Set up tables of values, identify the   type of lines and determine the solu...
6. Solve each system of equations by a method of your choice:   a) 1)    2x −3y =7       2)   − + =( y +             x 2 9...
7. Jack and Isabelle had a combined amount of $210. Jack spent one-third of what   he had, and Isabelle one-fifth. The sum...
Given the system of inequalities represented below:                                                               y       ...
11. Draw the graph representing the solution set of the following system of    inequalities:                           y  ...
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Mth 4101-2 b

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Mth 4101-2 b

  1. 1. MTH-4101-2 B Equations & Inequalities II1. Without calculating, what is the solution of the system of equations below? y x /52. Without calculating, determine the solution of the system of equations below: 1) x + −= y 3 0 2) 2 x −− y 9 =0 x y x y 0 3 0 -9 1 2 1 -7 2 1 2 -5 3 0 3 -3 4 -1 4 -1 5 -2 5 1 6 -3 6 3 ANS: ___________________________________ /33. Without calculating, express as a system of equations of the first degree in two variables. Nick is twice Richard’s age. If the difference between their ages is 30, what is the age of each man? /5
  2. 2. 4. Solve graphically the system of equations. Set up tables of values, identify the type of lines and determine the solution set. y 1) 2 x −− y 8 =0 2) −− x 1 =2y x /55. Solve graphically the system of equations. Set up tables of values, identify the type of lines and determine the solution set. y 1) − += 2y x 0 2) 3x − = 4y − 8 x /5
  3. 3. 6. Solve each system of equations by a method of your choice: a) 1) 2x −3y =7 2) − + =( y + x 2 9 1) /10 b) 1) y +2x =31 2) 2 y −= x 12 /10 c) 1) 2y + = x 0 3 5 2) 4 x+ =y 2 /10
  4. 4. 7. Jack and Isabelle had a combined amount of $210. Jack spent one-third of what he had, and Isabelle one-fifth. The sum of the expenses totaled $64. How much did each of them start out with? /98. Cut 25 into two parts, such that the sum of six times one part and eight times the other part is 170. What are the values of the two parts? /99. Find two numbers whose difference is 20 and one third of their sum is 40. /9
  5. 5. Given the system of inequalities represented below: y 1) x + ≤ y 2 2) − +≥ 2x y − 4 x State whether or not the given ordered pairs are solution-pairs of the system. Answer by yes or no. a) (0, 0) ______________ b) (4, 1) ______________ c) (–1, 1) ______________ d) (0, –2) ______________ /410. Draw the graph representing the solution set of the following system of inequalities: y 1) y + x ≤ 3 2) y – 2x ≥ –3 x /8
  6. 6. 11. Draw the graph representing the solution set of the following system of inequalities: y 1) y – 2x ≥ 4 2) y <2 x /8

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