Atirolaoluwa: SmartMathz Periodic Assessment – MATH, JANUARY 2026.

1. Which point lies on the line  whose equation is 2x + 3y = 6 ?

  2.  Point  (k,  −3) lies on the line whose equation is x − 2y =  −1. Find the value of K?

3. What is the y-intercept of the line shown in the graph below?

4. What is the x -intercept of this line shown in the graph below

5. Given the equation y − 3 = 4(x + 2), what is the x-intercept?

6.  Given the equation x  + 3y  = 3, what is the y -intercept?

7. Is the following equation that of a vertical line, a horizontal line, neither, or cannot be determined?

              ( x = 4)

8. Which statement describes the graph of x = 5?

9. The slope of the line shown in the graph below is ?

10. The slope of the line shown in the graph below is ?

11. What is the slope of the graphed line?

12. What is the slope of the line through  A (2, − 1) and  B (−3, 1)?

13. Consider the system of equations

                    y = 2x + 2

                    y = 6x + 2

        The graph of the system consists of lines that have ___________ of intersection. 

          I. no points

         II. exactly one point

        III. more than one point

        Therefore, the system has   ___________ solution.   

       IV.  no

       V. exactly one

       VI. more than one

14. The table shows two systems of linear equations. Indicate whether each system of equations has no solution, one solution, or infinitely many solutions by selecting the correct cell in the table.

17. A piece of glass with an initial temperature of 117° F is cooled at a rate of 3.5°F/min. At the same time, a  piece of copper with an initial temperature of 0° F is  heated at a rate of 2.5° F/min. Let m  = the number of minutes and t  = the temperature in °F. Which system models the given scenario?

18. Ramon rented a sprayer and a generator. On his first job, he used each piece of equipment for 6 hours at a total cost of $90.  On his second job, he used the sprayer for 4 hours and the generator for 8 hours at a total cost of $100.  What was the hourly cost for the sprayer?

19. How many meters per second is a person running if they are at 12 meters in 4  seconds and  180  meters in  25  seconds?

20. Mary and Amy had a total of 20 yards of material from which to make costumes. Mary used three times more material to make her costume than Amy used, and 2 yards of material was not used. How many yards of material did Amy use for her costume?