WGU C957 Applied Algebra OA Exam 2026– Actual
Exam Questions with Correct Answers and Complete
Study Guide
250 exam-style questions with marked answers, rationales, real-world modeling, and original diagrams. These questions are
aligned to the published C957 competencies and publicly surfaced exam themes; they are not presented as an authenticated
leaked WGU assessment.
Illustrative human study scene
Illustrative calculator/data scene
Illustrative real-world modeling scene
Inputs, Outputs & Function Notation
1. A model F gives an output for each input. If F(3) = 2, what does this statement mean?
The output is 3 when the input is 2.
The output is 2 when the input is 3.
The input is 2 and the output is 3.
The slope of F is 2.
Rationale: Function notation F(3)=2 means input 3 produces output 2.
2. A model F gives an output for each input. If F(4) = 5, what does this statement mean?
The slope of F is 5.
The input is 5 and the output is 4.
The output is 4 when the input is 5.
The output is 5 when the input is 4.
Rationale: Function notation F(4)=5 means input 4 produces output 5.
3. A model F gives an output for each input. If F(5) = 8, what does this statement mean?
The output is 8 when the input is 5.
The output is 5 when the input is 8.
The input is 8 and the output is 5.
The slope of F is 8.
Rationale: Function notation F(5)=8 means input 5 produces output 8.
WGU C957 Applied Algebra • 250-question practice guide Page 1
, 4. A model F gives an output for each input. If F(6) = 11, what does this statement mean?
The input is 11 and the output is 6.
The output is 6 when the input is 11.
The output is 11 when the input is 6.
The slope of F is 11.
Rationale: Function notation F(6)=11 means input 6 produces output 11.
5. A model F gives an output for each input. If F(7) = 14, what does this statement mean?
The slope of F is 14.
The output is 14 when the input is 7.
The input is 14 and the output is 7.
The output is 7 when the input is 14.
Rationale: Function notation F(7)=14 means input 7 produces output 14.
6. A model F gives an output for each input. If F(8) = 17, what does this statement mean?
The slope of F is 17.
The output is 8 when the input is 17.
The input is 17 and the output is 8.
The output is 17 when the input is 8.
Rationale: Function notation F(8)=17 means input 8 produces output 17.
7. A model F gives an output for each input. If F(9) = 20, what does this statement mean?
The slope of F is 20.
The output is 20 when the input is 9.
The output is 9 when the input is 20.
The input is 20 and the output is 9.
Rationale: Function notation F(9)=20 means input 9 produces output 20.
8. A model F gives an output for each input. If F(10) = 23, what does this statement mean?
The input is 23 and the output is 10.
The output is 23 when the input is 10.
The output is 10 when the input is 23.
The slope of F is 23.
Rationale: Function notation F(10)=23 means input 10 produces output 23.
9. A model F gives an output for each input. If F(11) = 26, what does this statement mean?
The slope of F is 26.
The input is 26 and the output is 11.
The output is 26 when the input is 11.
The output is 11 when the input is 26.
Rationale: Function notation F(11)=26 means input 11 produces output 26.
10. A model F gives an output for each input. If F(12) = 29, what does this statement mean?
The output is 12 when the input is 29.
The output is 29 when the input is 12.
The input is 29 and the output is 12.
The slope of F is 29.
Rationale: Function notation F(12)=29 means input 12 produces output 29.
11. A store's total cost is C(n)=4n+18, where n is the number of items. What is C(5)?
$42
$34
$38
$20
Rationale: Substitute n=5: 4(5)+18=38.
WGU C957 Applied Algebra • 250-question practice guide Page 2
, 12. A store's total cost is C(n)=4n+18, where n is the number of items. What is C(8)?
$32
$54
$46
$50
Rationale: Substitute n=8: 4(8)+18=50.
13. A store's total cost is C(n)=4n+18, where n is the number of items. What is C(12)?
$48
$66
$70
$62
Rationale: Substitute n=12: 4(12)+18=66.
14. A store's total cost is C(n)=4n+18, where n is the number of items. What is C(15)?
$74
$82
$78
$60
Rationale: Substitute n=15: 4(15)+18=78.
15. A store's total cost is C(n)=4n+18, where n is the number of items. What is C(20)?
$80
$98
$94
$102
Rationale: Substitute n=20: 4(20)+18=98.
16. Which ordered pair lies on the graph of f(x)=2x+7?
(2, 12)
(1, 9)
(0, 9)
(3, 15)
Rationale: f(1)=2+7=9, so (1,9) lies on the graph.
17. Which ordered pair lies on the graph of f(x)=3x+5?
(2, 12)
(3, 16)
(0, 8)
(1, 8)
Rationale: f(1)=3+5=8, so (1,8) lies on the graph.
18. Which ordered pair lies on the graph of f(x)=4x+9?
(0, 13)
(2, 18)
(1, 13)
(3, 23)
Rationale: f(1)=4+9=13, so (1,13) lies on the graph.
19. Which ordered pair lies on the graph of f(x)=6x+2?
(0, 8)
(3, 22)
(1, 8)
(2, 15)
Rationale: f(1)=6+2=8, so (1,8) lies on the graph.
WGU C957 Applied Algebra • 250-question practice guide Page 3
, 20. Which ordered pair lies on the graph of f(x)=7x+11?
(1, 18)
(3, 34)
(2, 26)
(0, 18)
Rationale: f(1)=7+11=18, so (1,18) lies on the graph.
21. What is the domain of f(x)=√(x−6)?
x≤0
x≥6
x>0
positive integers only
Rationale: The radicand must be nonnegative.
22. What is the domain of g(x)=√(10−x)?
x>0
positive integers only
x≤0
x ≤ 10
Rationale: The radicand must be nonnegative.
23. What is the domain of h(x)=1/(x−4)?
x≠4
positive integers only
x≤0
x>0
Rationale: A denominator cannot be zero.
24. What is the domain of p(x)=x²+3?
positive integers only
x>0
all real numbers
x≤0
Rationale: A polynomial is defined for every real input.
25. What is the domain of q(x)=√(x+2)?
x ≥ −2
positive integers only
x>0
x≤0
Rationale: The radicand must be nonnegative.
26. In a model where number of cars produced depends on number of workers, which is the
dependent variable?
number of workers
number of cars produced
both variables
neither variable
Rationale: The dependent variable is the output that changes in response to the input.
27. In a model where monthly electricity bill depends on kilowatt-hours used, which is the
dependent variable?
neither variable
both variables
kilowatt-hours used
monthly electricity bill
Rationale: The dependent variable is the output that changes in response to the input.
WGU C957 Applied Algebra • 250-question practice guide Page 4
Exam Questions with Correct Answers and Complete
Study Guide
250 exam-style questions with marked answers, rationales, real-world modeling, and original diagrams. These questions are
aligned to the published C957 competencies and publicly surfaced exam themes; they are not presented as an authenticated
leaked WGU assessment.
Illustrative human study scene
Illustrative calculator/data scene
Illustrative real-world modeling scene
Inputs, Outputs & Function Notation
1. A model F gives an output for each input. If F(3) = 2, what does this statement mean?
The output is 3 when the input is 2.
The output is 2 when the input is 3.
The input is 2 and the output is 3.
The slope of F is 2.
Rationale: Function notation F(3)=2 means input 3 produces output 2.
2. A model F gives an output for each input. If F(4) = 5, what does this statement mean?
The slope of F is 5.
The input is 5 and the output is 4.
The output is 4 when the input is 5.
The output is 5 when the input is 4.
Rationale: Function notation F(4)=5 means input 4 produces output 5.
3. A model F gives an output for each input. If F(5) = 8, what does this statement mean?
The output is 8 when the input is 5.
The output is 5 when the input is 8.
The input is 8 and the output is 5.
The slope of F is 8.
Rationale: Function notation F(5)=8 means input 5 produces output 8.
WGU C957 Applied Algebra • 250-question practice guide Page 1
, 4. A model F gives an output for each input. If F(6) = 11, what does this statement mean?
The input is 11 and the output is 6.
The output is 6 when the input is 11.
The output is 11 when the input is 6.
The slope of F is 11.
Rationale: Function notation F(6)=11 means input 6 produces output 11.
5. A model F gives an output for each input. If F(7) = 14, what does this statement mean?
The slope of F is 14.
The output is 14 when the input is 7.
The input is 14 and the output is 7.
The output is 7 when the input is 14.
Rationale: Function notation F(7)=14 means input 7 produces output 14.
6. A model F gives an output for each input. If F(8) = 17, what does this statement mean?
The slope of F is 17.
The output is 8 when the input is 17.
The input is 17 and the output is 8.
The output is 17 when the input is 8.
Rationale: Function notation F(8)=17 means input 8 produces output 17.
7. A model F gives an output for each input. If F(9) = 20, what does this statement mean?
The slope of F is 20.
The output is 20 when the input is 9.
The output is 9 when the input is 20.
The input is 20 and the output is 9.
Rationale: Function notation F(9)=20 means input 9 produces output 20.
8. A model F gives an output for each input. If F(10) = 23, what does this statement mean?
The input is 23 and the output is 10.
The output is 23 when the input is 10.
The output is 10 when the input is 23.
The slope of F is 23.
Rationale: Function notation F(10)=23 means input 10 produces output 23.
9. A model F gives an output for each input. If F(11) = 26, what does this statement mean?
The slope of F is 26.
The input is 26 and the output is 11.
The output is 26 when the input is 11.
The output is 11 when the input is 26.
Rationale: Function notation F(11)=26 means input 11 produces output 26.
10. A model F gives an output for each input. If F(12) = 29, what does this statement mean?
The output is 12 when the input is 29.
The output is 29 when the input is 12.
The input is 29 and the output is 12.
The slope of F is 29.
Rationale: Function notation F(12)=29 means input 12 produces output 29.
11. A store's total cost is C(n)=4n+18, where n is the number of items. What is C(5)?
$42
$34
$38
$20
Rationale: Substitute n=5: 4(5)+18=38.
WGU C957 Applied Algebra • 250-question practice guide Page 2
, 12. A store's total cost is C(n)=4n+18, where n is the number of items. What is C(8)?
$32
$54
$46
$50
Rationale: Substitute n=8: 4(8)+18=50.
13. A store's total cost is C(n)=4n+18, where n is the number of items. What is C(12)?
$48
$66
$70
$62
Rationale: Substitute n=12: 4(12)+18=66.
14. A store's total cost is C(n)=4n+18, where n is the number of items. What is C(15)?
$74
$82
$78
$60
Rationale: Substitute n=15: 4(15)+18=78.
15. A store's total cost is C(n)=4n+18, where n is the number of items. What is C(20)?
$80
$98
$94
$102
Rationale: Substitute n=20: 4(20)+18=98.
16. Which ordered pair lies on the graph of f(x)=2x+7?
(2, 12)
(1, 9)
(0, 9)
(3, 15)
Rationale: f(1)=2+7=9, so (1,9) lies on the graph.
17. Which ordered pair lies on the graph of f(x)=3x+5?
(2, 12)
(3, 16)
(0, 8)
(1, 8)
Rationale: f(1)=3+5=8, so (1,8) lies on the graph.
18. Which ordered pair lies on the graph of f(x)=4x+9?
(0, 13)
(2, 18)
(1, 13)
(3, 23)
Rationale: f(1)=4+9=13, so (1,13) lies on the graph.
19. Which ordered pair lies on the graph of f(x)=6x+2?
(0, 8)
(3, 22)
(1, 8)
(2, 15)
Rationale: f(1)=6+2=8, so (1,8) lies on the graph.
WGU C957 Applied Algebra • 250-question practice guide Page 3
, 20. Which ordered pair lies on the graph of f(x)=7x+11?
(1, 18)
(3, 34)
(2, 26)
(0, 18)
Rationale: f(1)=7+11=18, so (1,18) lies on the graph.
21. What is the domain of f(x)=√(x−6)?
x≤0
x≥6
x>0
positive integers only
Rationale: The radicand must be nonnegative.
22. What is the domain of g(x)=√(10−x)?
x>0
positive integers only
x≤0
x ≤ 10
Rationale: The radicand must be nonnegative.
23. What is the domain of h(x)=1/(x−4)?
x≠4
positive integers only
x≤0
x>0
Rationale: A denominator cannot be zero.
24. What is the domain of p(x)=x²+3?
positive integers only
x>0
all real numbers
x≤0
Rationale: A polynomial is defined for every real input.
25. What is the domain of q(x)=√(x+2)?
x ≥ −2
positive integers only
x>0
x≤0
Rationale: The radicand must be nonnegative.
26. In a model where number of cars produced depends on number of workers, which is the
dependent variable?
number of workers
number of cars produced
both variables
neither variable
Rationale: The dependent variable is the output that changes in response to the input.
27. In a model where monthly electricity bill depends on kilowatt-hours used, which is the
dependent variable?
neither variable
both variables
kilowatt-hours used
monthly electricity bill
Rationale: The dependent variable is the output that changes in response to the input.
WGU C957 Applied Algebra • 250-question practice guide Page 4
