1 of 22

UST Middle School Algebra I Challenge

Week 4 — Functions & Function Notation

Focus: Inputs/outputs, domain/range, evaluating functions

2 of 22

Weekly Format

Week 4

Part A — 15 Multiple Choice

Part B — 15 Fill in the Blank

Part C — 15 Word / Open-Response Problems

Part D — 5 Challenge Problems

Answer key and step-by-step explanations follow the questions.

3 of 22

Part A — Multiple Choice

Questions 1–5

1. If f(x)=2x²−1, find f(3). A) 17 B) 5 C) 8 D) 19

2. If f(x)=2x²−1, find f(4). A) 31 B) 7 C) 15 D) 33

3. If f(x)=2x²−1, find f(5). A) 49 B) 9 C) 24 D) 51

4. If f(x)=2x²−1, find f(6). A) 71 B) 11 C) 35 D) 73

5. If f(x)=2x²−1, find f(7). A) 97 B) 13 C) 48 D) 99

4 of 22

Part A — Multiple Choice

Questions 6–10

6. If f(x)=2x²−1, find f(8). A) 127 B) 15 C) 63 D) 129

7. If f(x)=2x²−1, find f(9). A) 161 B) 17 C) 80 D) 163

8. If f(x)=2x²−1, find f(10). A) 199 B) 19 C) 99 D) 201

9. If f(x)=2x²−1, find f(11). A) 241 B) 21 C) 120 D) 243

10. If f(x)=2x²−1, find f(12). A) 287 B) 23 C) 143 D) 289

5 of 22

Part A — Multiple Choice

Questions 11–15

11. If f(x)=2x²−1, find f(13). A) 337 B) 25 C) 168 D) 339

12. If f(x)=2x²−1, find f(14). A) 391 B) 27 C) 195 D) 393

13. If f(x)=2x²−1, find f(15). A) 449 B) 29 C) 224 D) 451

14. If f(x)=2x²−1, find f(16). A) 511 B) 31 C) 255 D) 513

15. If f(x)=2x²−1, find f(17). A) 577 B) 33 C) 288 D) 579

6 of 22

Part B — Fill in the Blank

Questions 16–20

16. If g(x)=4x+1, g(2) = ___.

17. If g(x)=4x+1, g(3) = ___.

18. If g(x)=4x+1, g(4) = ___.

19. If g(x)=4x+1, g(5) = ___.

20. If g(x)=4x+1, g(6) = ___.

7 of 22

Part B — Fill in the Blank

Questions 21–25

21. If g(x)=4x+1, g(7) = ___.

22. If g(x)=4x+1, g(8) = ___.

23. If g(x)=4x+1, g(9) = ___.

24. If g(x)=4x+1, g(10) = ___.

25. If g(x)=4x+1, g(11) = ___.

8 of 22

Part B — Fill in the Blank

Questions 26–30

26. If g(x)=4x+1, g(12) = ___.

27. If g(x)=4x+1, g(13) = ___.

28. If g(x)=4x+1, g(14) = ___.

29. If g(x)=4x+1, g(15) = ___.

30. If g(x)=4x+1, g(16) = ___.

9 of 22

Part C — Word / Open Response

Questions 31–35

31. A function gives C=6h+15 for h hours. Find C when h=2.

32. A function gives C=6h+15 for h hours. Find C when h=3.

33. A function gives C=6h+15 for h hours. Find C when h=4.

34. A function gives C=6h+15 for h hours. Find C when h=5.

35. A function gives C=6h+15 for h hours. Find C when h=6.

10 of 22

Part C — Word / Open Response

Questions 36–40

36. A function gives C=6h+15 for h hours. Find C when h=7.

37. A function gives C=6h+15 for h hours. Find C when h=8.

38. A function gives C=6h+15 for h hours. Find C when h=9.

39. A function gives C=6h+15 for h hours. Find C when h=10.

40. A function gives C=6h+15 for h hours. Find C when h=11.

11 of 22

Part C — Word / Open Response

Questions 41–45

41. A function gives C=6h+15 for h hours. Find C when h=12.

42. A function gives C=6h+15 for h hours. Find C when h=13.

43. A function gives C=6h+15 for h hours. Find C when h=14.

44. A function gives C=6h+15 for h hours. Find C when h=15.

45. A function gives C=6h+15 for h hours. Find C when h=16.

12 of 22

Part D — Challenge

Questions 46–50

46. Challenge: If f(x)=x²−3x+2, find f(4).

47. Challenge: If f(x)=x²−3x+2, find f(5).

48. Challenge: If f(x)=x²−3x+2, find f(6).

49. Challenge: If f(x)=x²−3x+2, find f(7).

50. Challenge: If f(x)=x²−3x+2, find f(8).

13 of 22

Answer Key — Questions 1–5

Answer + How to Solve

1. Answer: A

How to solve: Replace x with 3: 2(3²)−1=17.

2. Answer: A

How to solve: Replace x with 4: 2(4²)−1=31.

3. Answer: A

How to solve: Replace x with 5: 2(5²)−1=49.

4. Answer: A

How to solve: Replace x with 6: 2(6²)−1=71.

5. Answer: A

How to solve: Replace x with 7: 2(7²)−1=97.

14 of 22

Answer Key — Questions 6–10

Answer + How to Solve

6. Answer: A

How to solve: Replace x with 8: 2(8²)−1=127.

7. Answer: A

How to solve: Replace x with 9: 2(9²)−1=161.

8. Answer: A

How to solve: Replace x with 10: 2(10²)−1=199.

9. Answer: A

How to solve: Replace x with 11: 2(11²)−1=241.

10. Answer: A

How to solve: Replace x with 12: 2(12²)−1=287.

15 of 22

Answer Key — Questions 11–15

Answer + How to Solve

11. Answer: A

How to solve: Replace x with 13: 2(13²)−1=337.

12. Answer: A

How to solve: Replace x with 14: 2(14²)−1=391.

13. Answer: A

How to solve: Replace x with 15: 2(15²)−1=449.

14. Answer: A

How to solve: Replace x with 16: 2(16²)−1=511.

15. Answer: A

How to solve: Replace x with 17: 2(17²)−1=577.

16 of 22

Answer Key — Questions 16–20

Answer + How to Solve

16. Answer: 9

How to solve: Substitute 2 for x.

17. Answer: 13

How to solve: Substitute 3 for x.

18. Answer: 17

How to solve: Substitute 4 for x.

19. Answer: 21

How to solve: Substitute 5 for x.

20. Answer: 25

How to solve: Substitute 6 for x.

17 of 22

Answer Key — Questions 21–25

Answer + How to Solve

21. Answer: 29

How to solve: Substitute 7 for x.

22. Answer: 33

How to solve: Substitute 8 for x.

23. Answer: 37

How to solve: Substitute 9 for x.

24. Answer: 41

How to solve: Substitute 10 for x.

25. Answer: 45

How to solve: Substitute 11 for x.

18 of 22

Answer Key — Questions 26–30

Answer + How to Solve

26. Answer: 49

How to solve: Substitute 12 for x.

27. Answer: 53

How to solve: Substitute 13 for x.

28. Answer: 57

How to solve: Substitute 14 for x.

29. Answer: 61

How to solve: Substitute 15 for x.

30. Answer: 65

How to solve: Substitute 16 for x.

19 of 22

Answer Key — Questions 31–35

Answer + How to Solve

31. Answer: $27