Grid Masters Exam Worksheet house v2
GRID MASTERS
3rd Quarter Math 8 Examination
Student Name
Date
Part 1: Linear Equations Foundations Questions 1-13
1. In the equation \(y = 3x - 5\), what value represents the slope?
A) -5
B) 3
C) -3
D) 5
2. What is the y-intercept of the graph representing \(y = -0.5x + 4\)?
A) (0, 4)
B) (4, 0)
C) (0, -0.5)
D) (-0.5, 0)
3. Which of the following is the x-intercept of the equation \(y = 2x - 6\)?
A) -6
B) 6
C) 3
D) -3
4. Which equation represents a line that passes through the origin (0, 0)?
A) \(y = x + 1\)
B) \(y = 2x\)
C) \(y = -3\)
D) \(x = 5\)
5. If a line has a slope of 0, it is classified as a __________ line.
A) Vertical
B) Horizontal
C) Increasing
D) Decreasing
6. What is the slope of the line described by \(y = 20x + 15\)?
A) 15
B) 20
C) -20
D) 20/15
7. In the slope-intercept form equation \(y = mx + b\), what does 'b' represent?
A) Slope
B) X-intercept
C) Y-intercept
D) Origin
8. Which equation is written in slope-intercept form?
A) \(2x + 3y = 6\)
B) \(y - 1 = 3(x+2)\)
C) \(y = 4x + 1\)
D) \(x = 4\)
9. What happens to the graph of a line if the slope is negative?
A) It rises from left to right
B) It falls from left to right
10. Find the y-intercept of the line \(y = -x - 8\).
A) (0, 1)
B) (0, -1)
C) (0, 8)
D) (0, -8)
11. The line described by \(y = 3\) is a __________ line.
A) Horizontal
B) Vertical
C) Increasing
D) Decreasing
12. Identify the slope in the equation \(y = x + 10\).
A) 0
B) 10
C) 1
D) x
13. In the equation \(y = 15x\), what is the y-intercept?
A) 15
B) 1
C) 0
D) x
14. Which slope represents a line that is steeper than \(y = 2x + 4\)?
A) m = 1
B) m = 0.5
C) m = 3
D) m = -1
15. A line has a slope of -3 and a y-intercept of 7. What is its equation?
A) \(y = 7x - 3\)
B) \(y = -3x + 7\)
C) \(y = 3x + 7\)
D) \(y = -3x - 7\)
Intermediate Proficiency (Medium)
16. Convert the standard form equation \(8x + 4y = 16\) into slope-intercept form.
A) \(y = 2x + 4\)
B) \(y = -2x + 4\)
C) \(y = -8x + 16\)
D) \(y = 0.5x + 4\)
17. Identify the y-intercept for the line represented by \(-3x + 6y = 12\).
A) (0, 2)
B) (0, -2)
C) (0, 12)
D) (0, 6)
18. To graph \(y = \frac{1}{2}x - 3\), you would start at ________ and move ________.
A) (0, 3); up 1, right 2
B) (0, -3); up 1, right 2
C) (0, -3); up 2, right 1
D) (0, 3); down 1, right 2
19. Find the x-intercept of the equation \(x + 5y = 10\).
A) 10
B) 2
C) 5
D) -10
20. What is the slope of a line passing through the points \((-1, 5)\) and \((3, -3)\)?
A) 2
B) -2
C) 1/2
D) -1/2
Part 2: Systems of Linear Equations Q21-25
21. The point where two lines intersect on a coordinate plane is called the ________ of the system.
A) Intercept
B) Slope
C) Solution
D) Origin
22. If two lines in a system are parallel, how many solutions does the system have?
A) One
B) None
C) Infinitely many
D) Two
23. If two equations represent the exact same line, how many solutions are there?
A) One
B) None
C) Infinitely many
D) Exactly two
24. To check if (2, 4) is a solution to a system, you must ___________.
A) Plug it into one equation only
B) Plug it into both equations
C) Only look at the y-intercept
D) Find the slope of both
25. Which type of system has exactly one solution?
A) Parallel lines
B) Intersecting lines
C) Overlapping lines
D) Vertical parallel lines
Part 2: Systems (Continued) Questions 26-38
26. In the system \(y = 3\) and \(x = -2\), what is the solution point?
A) (3, -2)
B) (-2, 3)
C) (0, 0)
D) No solution
27. When solving by substitution, if you have \(x = 1 + y\), where do you plug this expression?
A) In place of 'x' in the same equation
B) In place of 'x' in the other equation
C) In place of 'y' in the other equation
D) In place of the constant term
28. Which method is most direct when one equation is already solved for a variable?
A) Elimination
B) Substitution
C) Multiplication
D) Square root
29. Solve the system by graphing: \(y = x\) and \(y = -x + 2\).
A) (1, 1)
B) (0, 0)
C) (2, 2)
D) (1, -1)
30. If solving a system results in \(4 = -8\), what is the conclusion?
A) (4, -8)
B) Infinite solutions
C) No solution
D) (0, 0)
31. Identify the solution to the system: \(y = 2x - 3\) and \(y = x + 2\).
A) (5, 7)
B) (2, 4)
C) (0, 2)
D) (1, 3)
32. Solve the system: \(y = -2x\) and \(y = 3x + 5\).
A) (-1, 2)
B) (1, -2)
C) (0, 0)
D) (-1, -2)
33. Which pair of slopes represents a system with **no solution**?
A) \(m_1 = 2, m_2 = -2\)
B) \(m_1 = 3, m_2 = 3\)
C) \(m_1 = 1, m_2 = 0\)
D) \(m_1 = 0.5, m_2 = 2\)
34. Solve by substitution: \(x = y + 1\) and \(x + 3y = 13\).
A) (3, 4)
B) (4, 3)
C) (7, 6)
D) (1, 0)
35. Solve the system: \(y = -x + 4\) and \(x + y = 0\).
A) (4, 0)
B) (0, 4)
C) No solution
D) Infinite solutions
Intermediate Proficiency (Medium)
36. Use elimination to solve: \(x + y = 5\) and \(x + 2.5y = 8\).
A) (3, 2)
B) (2, 3)
C) (5, 0)
D) (4, 1)
37. Determine the number of solutions: \(y = 4x + 8\) and \(y = 5x + 1\).
A) One solution
B) No solution
C) Infinite solutions
D) Two solutions
38. Solve by substitution: \(y = -3x - 7\) and \(y = x + 9\).
A) (-4, 5)
B) (4, -5)
C) (-2, -1)
D) (0, 9)
39. A system has equations \(x + 2y = -5\) and \(x - 2y = -5\). What is the solution?
A) (-5, 0)
B) (0, -5)
C) Infinite solutions
D) No solution
40. Solve the system: \(2x + y = 3\) and \(x - y = 3\).
A) (2, -1)
B) (1, 1)
C) (3, 0)
D) (0, 3)
41. Which operation would easily eliminate 'y' in: \(3x - 2y = 1\) and \(9x - 6y = 3\)?
A) Subtracting the equations
B) Multiply top by -3 then add
C) Adding the equations
D) Dividing both by x
42. Solve the system: \(3x - y = 4\) and \(2x + y = 6\).
A) (2, 2)
B) (3, 0)
C) (1, -1)
D) (0, 6)
43. What is the equation of a horizontal line passing through (4, 7)?
A) \(x = 4\)
B) \(y = 7\)
C) \(y = 4\)
D) \(x = 7\)
44. Identify the solution type for: \(y = 2x + 1\) and \(y = 2x - 3\).
A) One solution
B) No solution
C) Infinite solutions
D) Two solutions
45. Solve the system: \(y = 0.5x\) and \(y = -x + 3\).
A) (2, 1)
B) (1, 2)
C) (0, 3)
D) (3, 0)
46. Which of the following is a linear equation written in slope-intercept form?
A) \(y = x^2\)
B) \(y = 3x - 1\)
C) \(x = 5\)
D) \(y^2 = x\)
47. In a system where \(x = 5\) and \(y = 2\), what is the resulting solution point?
A) (2, 5)
B) (5, 2)
C) (0, 0)
D) No solution
48. If two lines cross exactly at the point (3, 4), what is the solution to the system?
A) 3
B) 4
C) (3, 4)
D) (4, 3)
49. What is the slope of a vertical line that passes through (1, 5) and (1, 10)?
A) 5
B) 0
C) Undefined
D) 1
50. On a coordinate plane, the point (0, 0) is commonly referred to as the __________.
A) Solution
B) Y-intercept
C) Origin
D) X-axis
Grid Masters Assessment • Page 4 of 4
End of Examination
Q3 Math 8
