1. Algebra 1 Part 2 Chapter 4 Relations and Functions

2. RELATIONS
EQUATIONS
FUNCTIONS
SEQUENCE
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EXIT

3. Make a table for {(-1,6), (2,3), (4,-5), (-3,3)}
-2 - (-5) = 3
A100

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Answer: x y -1 6 2 3 4 -5 -3
-2 - (-5) = 3
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Answer A100

5. Give the inverse of the relation {(-3,5),(4,-1),(2,-5),(-3,-1),(0,-2)}
4(11+7) - (9)(8) - 2 = = -2
A200

6. Answer: {(5,-3),(-1,4),(-5,2),(-1,-3),(-2,0)}
5(-3)(-2)(-2) =
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A300

7. Make a mapping for {(-3,9),(-2,4),(-1,1), (0,0),(3,9)}
5(-3)(-2)(-2) =
A300

8. Answer: see student’s answers
5(-3)(-2)(-2) =
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A300

9. List the 5 ways to represent a relation
2(-3) + (-7 - 4) +32 = (-11) + 9 = = - 8
A400

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Answer: A set of ordered pairs Table Mapping Graph Equation
2(-3) + (-7 - 4) +32 = (-11) + 9 = = - 8
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A400

11. A person playing tennis uses 4 calories per hour for every pound he or she weighs. Make a table to show the relationship between weight and calories burned in one hour for people weighing 100, 110, 120 and 130 pounds.
-4m + 2(n - 3m) = -7m + 2n
A500

12. Weight calories burned 100 400 110 440 120 480 130 520
-4m + 2(n - 3m) = -7m + 2n
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A500

13. Find the solution set for y=2x -1 given the replacement set {(-2,-5),(0,1),(1,-3),(3,5)}
9/8 = 1 1/8
B100

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Answer: {(-2,-5),(3,5)}
9/8 = 1 1/8
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B100

15. Solve for y: 3x + 4y = -8
10/24 = 5/12
B200

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Answer: 
10/24 = 5/12
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B200

17. Solve x-y=8 if the domain is {-4,-2,0,2,4}
14/3 = 4 2/3
B300

18. Answer: {(-4,-12),(-2,-10),(0,-8),(2,-6),(4,-4)}
-1/2, 1/2, 3/5, 9/10
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B400

19. List the 2 forms of a linear equation?
-1/2, 1/2, 3/5, 9/10
B400

20. Answer: standard form: Ax + By = C slope-intercept form: y = mx + b
-1/2, 1/2, 3/5, 9/10
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B400

21. Change to proper standard form:
10/8 = 1 1/4
B500

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Answer: 2x - 3y = 6
10/8 = 1 1/4
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B500

23. Is {(-2,1),(-1,8),(8,-2),(0,1),(1,-1)} a function? Why? or Why not?
7x + 11y
C100

24. Answer: yes, all domain values are paired with only one range value
7x + 11y
C100

25. Is this a function? Why? Or Why not?-2 2 4 3 5 -1
32 + 4y
C200

26. Answer: Yes, all domain values are paired with only one range value
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C200

27. Is x=2y2 -3 a function? Why? or Why not?
2h + ah
C300

28. Answer: no, the y value can’t be squared
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C400

29. If f(x) = x2 - x find f(-3)
22 - 3d
C400

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Answer: f(-3) = 12
22 - 3d
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C400

31. If g(x) =x2 -2x + 3 find g(5p)
6 - 2b
C500

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Answer: 25p2 - 10p + 3
6 - 2b
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C500

33. Is -3, -1, 1, 3, 5 . . . an arithmetic sequence? If yes, what is the pattern?
D100

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Answer: yes, (add 2)
2y - 6
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D100

35. Find the next 3 terms of the arithmetic sequence: 8, 5, 2, -1 . . .
Commutative
D200

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Answer: -4, -7, -10
Commutative
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D200

37. Find the next 3 terms in the sequence: 10, 6, 11, 7, 12, 8 . . .

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Answer: 13, 9, 14
20/x + 10
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D300

39. Find the next three terms in the sequence: 19, 14, 8, 1 . . .
Associative
D400

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Answer: -7, -16, -26
Associative
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D400

41. Find the next three terms in the sequence: x, 4x - 1, 9x - 2, 16x - 3 . . .
White Sox
D500

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Answer: 25x - 4, 36x - 5, 49x - 6
White Sox
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D500