Systems of Equations and Inequalities
Juan Gonzalez
SystemsofequationsandInequalities..docx3
NO PROCEDURE. JUST ANSWER
1)
Find the area of the triangle that lies in the first quadrant (with its base on the x-axis) and that is bounded by the lines and
.
A = __________
2 Points
Answer
2)
Solve the system.
If the system has an infinite number of solutions, express them in the form (x, y (x)).
Example: (x, ax + b). If there is no solution, say so.
2 Points
Answer
3)
Solve the system correct to two decimal places
(__________, __________)
2 Points
Answer
4)
Graph the linear system, either by hand or using a graphing device. Use the graph to determine if the system has one solution, no solution, or infinitely many solutions.
The system has __________.
2 Points
Answer
5)
Graph the linear system. Use the graph to determine if the system has one solution, no solution, or infinitely many solutions.
The system has __________.
2 Points
Answer
6)
An equation and its graph are given. Find an inequality whose solution is the shaded region.
2 Points
Answer
7)
Solve the system, or show that it has no solution. If the system has infinitely many solutions, express them in the ordered-pair form.
2 Points
Answer
8)
Find the complete solution of the linear system, or show that it is inconsistent.
2 Points
Answer
9)
Find the complete solution of the linear system, or show that it is inconsistent.
2 Points
Answer
10)
Solve the system, or show that it has no solution. If the system has infinitely many solutions, express them in the ordered-pair form.
2 Points
Answer
11)
Use back-substitution to solve the triangular system.
2 Points
Answer
12)
Solve the system.
If the system has an infinite number of solutions, express them in the form (x, y (x)).
Example: (x, ax + b). If there is no solution, say so.
2 Points
Answer
13)
Solve the system.
If the system has an infinite number of solutions, express them in the form (x, y (x)).
Example: (x, ax + b). If there is no solution, say so.
2 Points
Answer
14)
Graph the linear system. Use the graph to determine if the system has one solution, no solution, or infinitely many solutions.
The system has __________.
2 Points
Answer
15)
Solve the system of equations and graph both lines
(__________, __________)
2 Points
Answer
16)
An equation and its graph are given. Find an inequality whose solution is the shaded region.
2 Points
Answer
17)
The sum of two numbers is twice their difference. The larger number is 9 more than twice the smaller. Find the numbers.
2 Points
Answer
18)
Solve the system, or show that it has no solution. If the system has infinitely many solutions, express them in the ordered-pair form.
2 Points
Answer
19)
Solve the system.
If the system has an infinite number of solutions, express them in the form (x, y (x)).
Example: (x, ax + b). If there is no solution, say so.
2 Points
Answer
20)
Graph the solution of the system of inequalities. Find the coordinates of all vertices, correct to one decimal place.
2 Points
Answer
