Pre-Test Unit 3: Systems
No calculator necessary. Please do not use a calculator.
Estimate the solution to the system of equations using the graph provided. Give your answer in the form of a point. (8 pts; 3 pts for -value within ½ unit, 3 pts for -value within ½ unit, 2 pts for listing as point in order)
1. 2.
Estimate the solution to the system of equations by graphing each equation on the graph provided. Give your answer in the form of a point. (8 pts; 2 pts for each correctly graphed equation, 2 pts for each correct coordinate of the apparent solution to within ½ unit)
3. 4.
Solve the following systems of equations using any method. There could be one solution, infinite solutions, or no solution. (8 pts; 2 pts for correct application of solution method, 2 pts for correct value of first variable, 2 pts for correct substitution of that value and inverse operations, 2 pts for correct value of second variable; no credit without work or explanation when solving by inspection)
5. 6.
7. 8.
Write and solve equations for the following situations. (10 pts; 1 pt for each correct equation, 2 pts for correct use of solution method, 2 pts for correct value of first variable, 2 pts for correct substitution and inverse operation work for second variable, 2 pts for correct value of second variable)YOU MAY USE A CALCULATOR FOR THESE!
9. Candy worth a pound was mixed with candy worth a pound to produce a mixture worth a pound. How many pounds of each kind of candy were used to make pounds of the mixture?
10. The perimeter of a rectangle is cm. The length of the rectangle is cm more than the width. Find the dimensions of the rectangle.
Solve the systems of inequalities by graphing on the coordinate plane. (8 pts; 2 pts for correctly graphing each associated line of the inequality, 2 pts for correct shading on each inequality)
11. 12.