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2ND_QUARTER_MARCIANO_MATH8
Contributed by: Marciano
  • 1. A relation is a set of ordered pairs. What is the first element in an ordered pair called?
A) Function
B) Image
C) Range
D) Domain
  • 2. The set of all second elements in a relation is called ____.
A) Relation
B) Input
C) Domain
D) Range
  • 3. In f(x) = 3x + 2, x is the ____.
A) Range
B) Constant
C) Output
D) Input
  • 4. What is the domain of the relation {(1,2), (3,4), (5,6)}?
A) {2,4,6}
B) {1,3,5}
C) {5,6}
D) {1,2,3}
  • 5. What is the range of the relation {(1,2), (3,4), (5,6)}?
A) {1,2,3}
B) {1,3,5}
C) {5,6}
D) {2,4,6}
  • 6. What is another way to represent a relation?
A) Table of values
B) All of the above
C) Mapping diagram
D) Graph
  • 7. A relation can be expressed as a set of ____.
A) Ordered pairs
B) Variables only
C) Numbers only
D) Single values
  • 8. The vertical axis of the Cartesian plane is called the ____.
A) Line
B) Origin
C) Y-axis
D) X-axis
  • 9. Which of the following is NOT a relation?
A) {1,2,3}
B) {(a,b), (b,c)}
C) {(2,4), (4,8)}
D) {(1,2), (2,3)}
  • 10. The relation {(1,2), (1,3)} is ____.
A) Linear
B) Not a function
C) One-to-one
D) A function
  • 11. The relation {(a,b), (b,c), (c,d)} is ____.
A) Not a function
B) Function
C) One-to-one
D) None
  • 12. Which of the following describes a function?
A) Each y has exactly one x
B) Each y has many x
C) Each x has many y
D) Each x has exactly one y
  • 13. The set of all possible outputs is called the ____.
A) Function
B) Domain
C) Range
D) Equation
  • 14. The statement “every element of the domain is paired with exactly one element in the range” defines a ____.
A) Table
B) Function
C) Relation
D) Equation
  • 15. Which of the following shows that a relation is NOT a function?
A) One city with one ZIP code
B) One student with one ID number
C) A student with two ID numbers
D) Each teacher with one subject
  • 16. The inequality symbol “≥” means ____.
A) greater than
B) equal
C) less than
D) greater than or equal to
  • 17. The inequality symbol “<” means ____.
A) equal
B) greater than
C) less than
D) more than
  • 18. The graph of y > x + 1 is a ____.
A) parabola
B) shaded half-plane above the line
C) solid line
D) shaded half-plane below the line
  • 19. The solution of a linear inequality in two variables is a ____.
A) parabola
B) line
C) half-plane
D) single point
  • 20. The ordered pair (0,0) is often used as a ____.
A) vertex
B) root
C) intercept
D) test point
  • 21. Which relation is a function?
A) B. {(1,2), (1,3)}
B) D. Both A and C
C) C. {(2,4), (3,4), (4,4)}
D) A. {(1,2), (2,3), (3,3)}
  • 22. The relation “teacher → students” is ____.
A) function
B) one-to-many
C) one-to-one
D) constant
  • 23. Which of the following is a one-to-one function?
A) Student → LRN
B) Mother → Children
C) Teacher → Class
D) Subject → Students
  • 24. Which graph represents y ≤ x + 1?
A) Shaded above the line
B) None
C) Dashed line
D) Shaded below the line
  • 25. Which statement about linear inequalities is TRUE?
A) The graph is a parabola.
B) The boundary line has no slope.
C) The boundary line divides the plane into two half-planes.
D) The test point is never used.
  • 26. Which of the following uses a solid boundary line?
A) y < 2x + 1
B) y > –x
C) y ≤ 2x + 1
D) y > 3x
  • 27. What is the solution of y < 2x + 1 for the point (0,0)?
A) False
B) True
  • 28. A test point that satisfies both inequalities is in the ____.
A) solution region
B) boundary line
C) outside region
D) none
  • 29. In y < –x + 4, which side is shaded?
A) Above the line
B) Below the line
C) On the line
D) None
  • 30. In the ordered pair (3, 5), which number represents the domain?
A) None
B) Both 3 and 5
C) 3
D) 5
  • 31. Which diagram shows a one-to-one relation?
A) One element maps to one unique element
B) All elements map to the same number
C) One element maps to many
D) Many elements map to one
  • 32. What makes a relation a function?
A) Inputs may have many outputs
B) Outputs may have no input
C) Each input has one output
D) Each output has one input
  • 33. What symbol is used for less than or equal to?
A) ≤
B) >
C) ≥
D) <
  • 34. The boundary line in the inequality y < 2x + 3 is ____.
A) Thick
B) Invisible
C) Solid
D) Dashed/Broken
  • 35. What type of line is used when the inequality includes “≤ or ≥”?
A) Dashed line
B) Dotted line
C) Solid line
D) Curved line
  • 36. The ordered pair (2,5) satisfies which of the following equations?
A) y = 3x – 1
B) y = 2x + 3
C) y = 4x
D) y = 2x + 1
  • 37. Determine whether (3,2) satisfies y > 2x – 5.
A) Yes
B) No
  • 38. Which of the following ordered pairs lies on the line y = 2x + 3?
A) A. (1,5)
B) D. Both A and C
C) B. (0,1)
D) C. (2,8)
  • 39. Which inequality represents a region above the line y = x – 1?
A) y < x – 1
B) y = x – 1
C) y ≥ x – 1
D) y > x – 1
  • 40. Which of the following points is a solution of y ≤ 2x + 1?
A) (–1,3)
B) (2,5)
C) (0,0)
D) (1,3)
  • 41. Which relation shows a one-to-one correspondence?
A) {(3,3), (3,4)}
B) {(1,2), (2,3), (3,4)}
C) {(2,4), (2,5)}
D) {(1,1), (1,2)}
  • 42. Find the solution of y < 2x + 3 for (–1, 1).
A) False
B) True
  • 43. What happens if you change y ≥ 2x + 3 to y < 2x + 3?
A) Shading remains same.
B) Line stays solid.
C) Slope changes.
D) Shading flips side and line becomes dashed.
  • 44. Which statement correctly explains why “Person → Mobile number” is not always a function?
A) Every phone has a user.
B) A person has exactly one phone number.
C) All phone numbers are unique.
D) Some people have more than one phone number.
  • 45. Which situation cannot be represented as a function?
A) Each city has one ZIP code.
B) Each student has a favorite subject.
C) Each student has one ID number.
D) Each person has a birthday.
  • 46. A relation that fails the vertical line test means it is ____.
A) one-to-one
B) linear
C) not a function
D) a function
  • 47. A student claims “All relations are functions.” What correction should you give?
A) Relations are always linear.
B) All functions are nonlinear.
C) Some relations are not functions because one x can map to two y’s.
D) All relations pass the vertical line test.
  • 48. A vending machine gives drinks based on button choices. Which describes the best function model?
A) Button → Selected drink
B) Drink → Customer
C) Coin → Machine
D) Button → All available drinks
  • 49. A company can produce up to 500 products per day. Which inequality shows this limitation?
A) y = 500
B) x ≤ 500
C) x ≥ 500
D) y > 500
  • 50. Which system of inequalities best models “You can buy a maximum of 4 pens and 3 notebooks”?
A) x > 4, y > 3
B) x ≤ 4, y ≤ 3
C) x + y ≥ 7
D) x + y ≤ 4
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