Mth 4101-2 b

Mth 4101-2 b

• 1.
  MTH-4101-2 B Equations & Inequalities II 1. Without calculating, what is the solution of the system of equations below? y x /5 2. 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: ___________________________________ /3 3. 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.
  4. Solve graphicallythe 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 /5 5. 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.
  6. Solve eachsystem 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.
  7. Jack andIsabelle 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? /9 8. 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? /9 9. Find two numbers whose difference is 20 and one third of their sum is 40. /9
• 5.
  Given the systemof 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) ______________ /4 10. 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.
  11. Draw thegraph representing the solution set of the following system of inequalities: y 1) y – 2x ≥ 4 2) y <2 x /8