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Per 1 Semester Final Part 1: System of Equations (Due 6/9/25)

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Last updated 8 days ago
10 questions
Required
5
Required
5
Required
5
Required
5
Required
30
Required
30
Required
30
Required
30
Required
30
Required
30
This is the Semester 2 final covering Unit 4 You may use your notes, past assignments, and desmos to complete this assessment. Complete the entire test and show your work for full credit. Responses without work will receive no points.

Solving Systems of Equations by Graphing

Question 1
1.

Question 2
2.

Question 3
3.

Question 4
4.

What is the solution in coordinate form of this system of equations?



Type the solution in coordinate form (x,y)
(Do not use spaces when you enter the coordinates)

Question 5
5.

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form (x,y)

(Do not use spaces when you enter the coordinates)

Solving Systems of Equations by Substitution and Elimination

Question 6
6.

Directions: Solve each system by substitution or elimination.

Be sure to write your solution in coordinate form (x,y)

Question 7
7.

Directions: Solve each system by substitution or elimination.

Be sure to write your solution in coordinate form (x,y)

Solving Systems of Linear Inequalities by Graphing

Question 8
8.

Graph each system of inequalities to show all possible solutions.

Creating and Solving a System of Equations

Question 9
9.
Solve each word problem using substitution or elimination.

The sum of two numbers is 25. One number is twice the second number plus seven. What
are the two numbers?

First Number_______
Second Number_______
Question 10
10.
Solve each word problem using substitution or elimination.

A local gym charges an enrollment fee of $40 plus $25 per month for membership. A community center charges no enrollment fee but $35 per month.




After how many months will the memberships be the same? _______


What is the cost of the memberships when they are the same amount?_______
Which system of equations has no solution?
Which system of equations has one solution?
Which system of equations has infinite solutions?