Upcoming SlideShare
×

# Mth 4101-2 b

286 views
177 views

Published on

Published in: Technology
0 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

• Be the first to like this

Views
Total views
286
On SlideShare
0
From Embeds
0
Number of Embeds
3
Actions
Shares
0
7
0
Likes
0
Embeds 0
No embeds

No notes for slide

### 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