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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) Range
C) Domain
D) Image
  • 2. The set of all second elements in a relation is called ____.
A) Input
B) Relation
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) {1,2,3}
B) {2,4,6}
C) {5,6}
D) {1,3,5}
  • 5. What is the range of the relation {(1,2), (3,4), (5,6)}?
A) {5,6}
B) {2,4,6}
C) {1,2,3}
D) {1,3,5}
  • 6. What is another way to represent a relation?
A) Table of values
B) Graph
C) All of the above
D) Mapping diagram
  • 7. A relation can be expressed as a set of ____.
A) Single values
B) Ordered pairs
C) Variables only
D) Numbers only
  • 8. The vertical axis of the Cartesian plane is called the ____.
A) Origin
B) Y-axis
C) Line
D) X-axis
  • 9. Which of the following is NOT a relation?
A) {(2,4), (4,8)}
B) {1,2,3}
C) {(1,2), (2,3)}
D) {(a,b), (b,c)}
  • 10. The relation {(1,2), (1,3)} is ____.
A) Linear
B) A function
C) Not a function
D) One-to-one
  • 11. The relation {(a,b), (b,c), (c,d)} is ____.
A) One-to-one
B) Not a function
C) None
D) Function
  • 12. Which of the following describes a function?
A) Each y has many x
B) Each x has exactly one y
C) Each y has exactly one x
D) Each x has many y
  • 13. The set of all possible outputs is called the ____.
A) Range
B) Function
C) Equation
D) Domain
  • 14. The statement “every element of the domain is paired with exactly one element in the range” defines a ____.
A) Table
B) Equation
C) Relation
D) Function
  • 15. Which of the following shows that a relation is NOT a function?
A) Each teacher with one subject
B) One student with one ID number
C) A student with two ID numbers
D) One city with one ZIP code
  • 16. The inequality symbol “≥” means ____.
A) less than
B) equal
C) greater than
D) greater than or equal to
  • 17. The inequality symbol “<” means ____.
A) more than
B) less than
C) equal
D) greater than
  • 18. The graph of y > x + 1 is a ____.
A) parabola
B) shaded half-plane below the line
C) shaded half-plane above the line
D) solid line
  • 19. The solution of a linear inequality in two variables is a ____.
A) half-plane
B) line
C) single point
D) parabola
  • 20. The ordered pair (0,0) is often used as a ____.
A) test point
B) intercept
C) vertex
D) root
  • 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) one-to-many
B) one-to-one
C) function
D) constant
  • 23. Which of the following is a one-to-one function?
A) Mother → Children
B) Student → LRN
C) Subject → Students
D) Teacher → Class
  • 24. Which graph represents y ≤ x + 1?
A) Dashed line
B) None
C) Shaded above the 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) none
C) boundary line
D) outside region
  • 29. In y < –x + 4, which side is shaded?
A) Above the line
B) On the line
C) Below the line
D) None
  • 30. In the ordered pair (3, 5), which number represents the domain?
A) Both 3 and 5
B) 3
C) 5
D) None
  • 31. Which diagram shows a one-to-one relation?
A) One element maps to many
B) One element maps to one unique element
C) Many elements map to one
D) All elements map to the same number
  • 32. What makes a relation a function?
A) Outputs may have no input
B) Each input has one output
C) Inputs may have many outputs
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) Invisible
B) Solid
C) Thick
D) Dashed/Broken
  • 35. What type of line is used when the inequality includes “≤ or ≥”?
A) Solid line
B) Curved line
C) Dotted line
D) Dashed line
  • 36. The ordered pair (2,5) satisfies which of the following equations?
A) y = 2x + 3
B) y = 2x + 1
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) D. Both A and C
B) B. (0,1)
C) A. (1,5)
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) (2,5)
B) (0,0)
C) (–1,3)
D) (1,3)
  • 41. Which relation shows a one-to-one correspondence?
A) {(2,4), (2,5)}
B) {(3,3), (3,4)}
C) {(1,1), (1,2)}
D) {(1,2), (2,3), (3,4)}
  • 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) Some people have more than one phone number.
C) A person has exactly one phone number.
D) Every phone has a user.
  • 45. Which situation cannot be represented as a function?
A) Each city has one ZIP code.
B) Each person has a birthday.
C) Each student has one ID number.
D) Each student has a favorite subject.
  • 46. A relation that fails the vertical line test means it is ____.
A) one-to-one
B) a function
C) linear
D) not a function
  • 47. A student claims “All relations are functions.” What correction should you give?
A) All relations pass the vertical line test.
B) Relations are always linear.
C) Some relations are not functions because one x can map to two y’s.
D) All functions are nonlinear.
  • 48. A vending machine gives drinks based on button choices. Which describes the best function model?
A) Button → All available drinks
B) Drink → Customer
C) Button → Selected drink
D) Coin → Machine
  • 49. A company can produce up to 500 products per day. Which inequality shows this limitation?
A) x ≥ 500
B) x ≤ 500
C) y > 500
D) y = 500
  • 50. Which system of inequalities best models “You can buy a maximum of 4 pens and 3 notebooks”?
A) x + y ≤ 4
B) x > 4, y > 3
C) x ≤ 4, y ≤ 3
D) x + y ≥ 7
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