Unit 4 - Systems Test

Last updated over 1 year ago
13 questions

Level 2

2

How many solutions are there for the following system?

2

How many solutions are there for the following system?

2

How many solutions are there for the following system?

2

Solve the following system by graphing in the show your work section. If you do not graph the system, you will not get credit.
y = 3x - 4
y= -2x + 1

2

Solve the following system by graphing in the show your work section. If you do not graph the system, you will not get credit.
y = -2x + 3
8x + 4y = 12

2

Which method would you use to solve the following system and why? (you do not need to solve) What characteristics about the equations lead you to this choice? (You can not just say that it is easier for you this way.)
2x + 3y = 5
x - 3y = 10

Level 3

3

Solve the following system by substitution. Be sure to show all work using this method, or no credit will be given.
y = -x + 2
-2x + y = 8

3

Solve the following system by elimination. Be sure to show all work using this method, or no credit will be given.
3x + 3y = -9
2x - 3y = -11

3

Karen makes $5 per hour babysitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made $139.
1) Write a system of equations to represent this scenario in the show your work section.
2) Solve the system to find how many hours she spent babysitting? Type this in the text box below.

3

3

Which ordered pairs are in the solution set to the following system of inequalities? Graph the system in the show your work section, then make your choice(s).
(If you do not graph the system correctly, you will not get credit.)
y > -3x - 3
y < -1/2x + 3

Level 4

4

Joe made punch with 7 pieces of fruit that costs $5.25. Bananas cost $.50 each, oranges cost $.75 each and papayas cost $1.25 each. He used twice as many oranges as bananas. How many of each fruit did he use? Be sure to show your work.

4

1) Graph the following equations on the coordinate plane in the show your work section.
2) Find the area of that polygon. (A = 1/2bh)
y = 0
y = 2x + 4
-3y - 4x = -12