Andres Fils-Aime



System of Linear Equation Unit Test

Name: __________________________ Core: ______ Date: _________________

Directions: The purpose of this test is to assess whether or not re-teaching is needed before the state exams are administered. You will have 70 minutes to complete this test and can earn a maximum of 130 points. Before you begin the test, make sure you write down your name, core, and date on the test. Before each section of the test, there are directions on how to answer the question on each section. Read the instructions thoroughly before starting. Partial credit can be earned; therefore, show your work and do your best to answer each question. Make sure to select the correct answer for each test item.

True/False + Opinion/ Fact

Directions: Read each statement and decide if the statement is true or false. If the statement is true, circle A on the answer document. If the statement is false, circle B on the answer document.

True or False: (Obj. 8. EE.8.c)

1. Olivia was asked to find the value of two numbers whose sum is 24 and their difference is 16. She answered (14, 10). Is this TRUE or FALSE?

2. Logan was asked to find the value of two numbers whose difference is 3 and sum is 13. He answered (7, 4). Is this TRUE or FALSE?

3. Anthony was asked to find the value of two numbers whose sum is 203 and their difference is 117. He answered (160, 43). Is this TRUE or FALSE?

4. Jada was asked to find the value of two numbers whose sum is 625 and difference is 333. She answered (500, 125). Is this TRUE or FALSE?

5. Tania inserted two linear (system of linear equation) in the calculator. Below is the image that appeared on the calculator. When asked what is the solution of the system of linear equation represented by these tables, she answered (0,5). Is this TRUE or FALSE?

Matching: (Obj. 8. EE.8.A)

Directions: Match the definition in column A with the mathematical term in Column B. Write the letter of the term that corresponds to the definition on the line next to each number. You must write your answer in capital letters. Each term in column B may only be used once, or not at all.

Column A Column B

6. A. Infinite solution

B. One solution (2, -1)

7.

C. No Solution

8.

D. One Solution (1,3)

9. E. Infinite Solution

10.

Interpretive and Multiple Choice (Obj. 8. EE.8.A)

Directions: This is an interpretive question and introduces new material. You must use the following scenario and information provided to determine the correct answer. The questions below are in multiple choice format. You must write down the correct answer, in capital letters, on the line beside the question.

11. What is the solution of the system of linear equation represented by the graph below?

A. (2,0)

B. (-2,0)

C. (1,3)

D. (-1,3)

E. No Solution

12. What is the solution of the system of linear equation represented by the graph below?

A. (0,5)

B. (6, -1)

C. (5,0)

D. Infinite solution

E. No solution

13. At a certain theater 4 adult tickets and 2 children tickets cost $ 36.50. Three adult tickets and 5 children’s tickets cost $38.75. Which system of equations could be used to determine the cost of one adult ticket, a, and one child’s ticket, c?

14.

15.

16. Solve the system using any method.

17. Solve the system using any method

[pic]

18.

19. Solve the system using any method

A. (1,2) B. (2,1) C. (1, -2) D. (-2, 1) E. Infinite Solution

20. Solve the system using any method

A. (12,3) B. (3, 12) C. (0,0) D. No Solution E. Infinite Solution

Short Answer + Procedural Knowledge

Directions: Read the following scenario. Solve the question and show all of your work. Circle your answer and justify your answer in at least two sentences.

21. Mr. Fils-Aime is half as old as Ms. Mitchell. The sum of their ages is 78. How old is Mr. Fils-Aime?

22. Regular admission for a movie is $ 8 per ticket. Seniors only pay $ 6 per ticket. If the revenue for a movie totaled $1440 for an audience of 190 people, how many seniors attended?

23. Three baseball and two football tickets cost $229.90. Two baseball tickets and one football ticket costs $128.27. What are the ticket prices for the two sports?

24. Ximena and Dajhah are selling candy for a school fundraiser. Customers can buy boxes of Skittles and boxes of Oreos. Ximena sold 3 boxes Skittles and 14 l boxes of Oreos for a total of $203. Dajha sold 11 boxes of Skittles and 11 boxes of Oreos for a total of $220. Find the cost each of one box of Skittle and one box of Oreos.

25. The perimeter of a rectangular soccer field is 120 meters. If the length of the soccer field is 20 meters more than the width, what are the dimensions of the soccer field?

Bonus: 10 points each

1. Line A and B have the following points: Line A: (7,9) and (-7,4)

Line B: (6,10) and (-6, -10) Find the point where the two lines intersect.

2. Solve for X, Y, and Z

3. An ultimate Frisbee team has to order jerseys, shorts, and hats. They have a budget of $1350 to spend on $50 jerseys, $20 shorts, and $15 hats. They want to buy 40 items in preparation for the oncoming season and must order as many jerseys as shorts and hats combined. How many of each item should they order? Write a system of equations to help you solve this problem.

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