Systems of Inequalities
This method must be used to solve a system of inequalities
What is graphing
The quadrant in which the solution to the following system lies:
y = x + 4
y = 2x + 5
What is II
r + s = -6
r - s = -10
x = 4y
2x + 3y = 22
The sum of two numbers is 104. Their difference is 68. What are the numbers?
x+y=104
x-y=68
Describe how you would shade y < 3x + 4
What is "below the line"?
y = 3x - 2
y = -x - 2
8a + 5b = 9
2a - 5b = -4
y = x - 2
3x - y = 16
A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660.
6s+8h=700
9s+6h=660
What kind of line would the inequality y < x + 2 have?
Dotted or Dashed
y = -3
x = 5
2x + 3y = 6
3x + 5y = 15
y = 3x - 1
7x + 2y = 37
A crafter was making scarves to gift to people. The scarves were made of cotton and silk, and required 6 yards of fabric. Cotton costs $3 a yard a silk costs $2 a yard. He spent $46 on fabric.
c+s=12
3c+2s=46
y = (1/3)x - 3
2x - y = 8
2a - 4b = 12
-8a + 16b = -48
3s - 2t = 4
t = 2s - 1
The dimensions of a rectangle whose perimeter is 78 inches, when the length of the rectangle is twice its width
2l+2w=78
l=2w
Is (0,0) a solution to the system y < x - 2 and y < 2x + 2
yes it is in the overlap
y - 3x = 3
y = 3x - 2
(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4
t + u = 12
t = (1/3)u
The amount of money each child received when Mr. Vogel left $25,000 divided between his son and daughter, with the daughter receiving $5000 less than the son.
s+d=25,000
d=s-5000