Linear Systems (1)
Linear Systems (2)
Non Linear Systems (1)
Non Linear Systems (2)
Word Problems
100
2x+6y=-16 and 3x-y=6 What is the solution set?
(1,-3)
100
x+5y=-10 5x+3y=16 What is the solution set? simplify your answer.
(5,-3)
100

Solve by substitution. x+y=2 y=x2-4 What is the solution set?

(2,0),(-3,5)

100

Solve by substitution. y=x2-6x+5 y=-x2-4 What is the solution set?

(2,-3),(1,0)

100
Use the functions given to solve the problem. C(x) represents the cost, in dollars, of x units of a product and R(x) represents the revenue, in dollars, from the sale of x units. Find the number of units that must be produced and sold in order to break even. C(x) = 80,000+42x and R(x) =50x
10,000
200
2x+5y=0 x-3y=0 What is the solution set?
(0,0)
200
3x-4y=6 2x-3y=5 What is the solution set? Simplify your answer.
(-2,-3)
200
Solve by substitution. xy=60 2x-y=-2 What is the solution set?
(-6,-10),(5,12)
200
Solve by addition method. x^2+y^2=40 x^2-y^2=32 What is the solution set?
(6,2),(6,-2),(-6,2),(-6,-2)
200

A total of 76 young Republicans attended a strategy meeting.  The number of females exceeded the number of males by 2.  How many of each gender were at the meeting?

39 females

37 males

300
3x-2y=0 4x+3y=-17 What is the solution set?
(-2,-3)
300
x=8y+6 2x-16y=12 What is the solution set? Simplify your answer.
There are infinitely many solutions.
300

Solve by substitution. 

x2+y2=-36 

-2y=x-6 

What is the solution set? 

(6,0),(-10,8)

300
Solve by addition method. x^2+y^2=49 y^2-6x=49 What is the solution set?
(0,7),(0,-7),(-6,√(13)),(-6,-√(13))
300
Find the length and width of a rectangle whose perimeter is 48 feet and whose area is 135 feet squared feet.
The length is 15 feet. The width is 9 feet.
400
5x-2y=16 3x+y=14 What is the solution set?
(4,2)
400
3x=y-5 3x-y=8
There is no solution.
400

Solve by a method of your choice. 4x2+3x2=16

 5x2-4y2=-11 What is the solution set?

(1,2),(-1,2),(1,-2),(-1,-2)

400
Solve by a method of your choice. x^2+2y^2=576 x+y=24 What is the solution set?
(8,16),(24,0)
400
For the linear function f(x)=mx+b, f(-5)=15 and f(8)= -11. Find m and b.
m=-2 and b=5
500

x + y + z = 6

x - y - z = -4

2x + y - z = 3

(1,3,2)

500

x + y + z = 6

2x - 2y - z = -9

3x + y - z = 2

(1,2,3)

500

NO CALCULATOR: 

y = log2(x+2)

y= 3 - log2(x)

(2,2)

500

NO CALCULATOR

y = 2x+1

y = 4-x

(-1/3, 22/3)

500
A rectangular lot whose perimeter is 310 ft is fenced along three sides, An expensive fencing along the lot's length cost $15 per foot. An inexpensive fencing along the two side widths cost only $3 per foot. The total cost of the fencing along the three sides comes to $1965. What are the lot's dimensions?
The longer dimension is 115 ft. The shorter dimensions is 40 ft.
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