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Algebra Lesson 4-1 Quiz v4

By Sam Schneider
Last updated about 1 year ago
5 Questions

Nota Bene:

This quiz challenges you to use a combination of algebraic (equation-based) solution methods and graphical solution methods. Please make sure that you only use the graphing tools included inside the quiz. If there is no graphing tool associated with a question, you should look for a solution that uses the equations and other information to find an answer.

Which of the following (x,y) pairs is a solution to the system of equations?

Remember, a solution to a system of equations is a set of variable values that makes all the equations in the system true "simultaneously".

y=x+7
y=-3x-1

Use the graphing tool to find the solution to the system of equations. Write your answer in the "show your work" section. Make sure your answer is in the form of an (x,y) value pair.

3x+2y=8
4x-y=7

What is the solution to the system of equations below? Make sure your answer is in the form of an (x,y) value pair.

y-4=\frac{5}{3}(x+2)
y-4=\frac{1}{4}(x+2)
y-4=-13(x+2)

Describe the size of the solution set to the following system of equations. How many different (x,y) value pairs will make all these equations true at the same time?

8x+9y=4
16x+18y=8
8\pi x+9\pi y=4\pi

The sum of two numbers x and y is 34, and the difference between of 2x and 7y is 3. How many different (x,y) pairs will fit this scenario? Explain your reasonsing.