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