WGU C957 Applied Algebra OA Exam 2026 – Original
Exam-Style Practice Questions with Correct Answers and
Complete Study Guide
250 original practice questions aligned to the published C957 competency areas. This is not an official WGU exam and does not reproduce
secure or proprietary assessment items.
linear model
Question 1 begins immediately below.
1. For f(x) = -3x + 10, what is f(3)?
■ 1
● -2
● -9
● 13
Answer rationale: Substitute x = 3: f(3) = -3(3) + 10 = 1.
2. A linear model is y = 4x + 4. What is its constant rate of change?
■ 4
● 4
● 8
● 4x
Answer rationale: For y = mx + b, the slope m is the constant rate of change.
3. A service charges a fixed fee of $6 plus $5 per unit. Which model gives total cost C for x units?
■ C = 5x + 6
● C = 6x + 5
● C = 5+6x²
● C = 5x-6
Answer rationale: Fixed fee is the intercept; per-unit charge is the slope.
4. What is the slope through (1, 4) and (5, 12)?
■ 2
● 8
● 4
● -2
Answer rationale: Slope = change in y divided by change in x.
,5. For y = 2x + 10, what does 10 represent in a real-world linear model?
■ The initial value when x = 0
● The rate of change per unit
● The maximum value
● The x-intercept
Answer rationale: The y-intercept is the output when the input is zero.
6. For f(x) = 3x + 10, what is f(4)?
■ 22
● 25
● 12
● 14
Answer rationale: Substitute x = 4: f(4) = 3(4) + 10 = 22.
7. A linear model is y = 5x + 7. What is its constant rate of change?
■ 5
● 7
● 12
● 5x
Answer rationale: For y = mx + b, the slope m is the constant rate of change.
8. A service charges a fixed fee of $4 plus $3 per unit. Which model gives total cost C for x units?
■ C = 3x + 4
● C = 4x + 3
● C = 3+4x²
● C = 3x-4
Answer rationale: Fixed fee is the intercept; per-unit charge is the slope.
9. What is the slope through (1, 4) and (5, 16)?
■ 3
● 12
● 4
● -3
Answer rationale: Slope = change in y divided by change in x.
10. For y = 3x + 5, what does 5 represent in a real-world linear model?
■ The initial value when x = 0
● The rate of change per unit
● The maximum value
● The x-intercept
Answer rationale: The y-intercept is the output when the input is zero.
,11. For f(x) = 4x + 5, what is f(4)?
■ 21
● 25
● 16
● 9
Answer rationale: Substitute x = 4: f(4) = 4(4) + 5 = 21.
12. A linear model is y = 2x + 7. What is its constant rate of change?
■ 2
● 7
● 9
● 2x
Answer rationale: For y = mx + b, the slope m is the constant rate of change.
13. A service charges a fixed fee of $6 plus $3 per unit. Which model gives total cost C for x units?
■ C = 3x + 6
● C = 6x + 3
● C = 3+6x²
● C = 3x-6
Answer rationale: Fixed fee is the intercept; per-unit charge is the slope.
14. What is the slope through (1, 6) and (5, 22)?
■ 4
● 16
● 4
● -4
Answer rationale: Slope = change in y divided by change in x.
15. For y = 4x + 5, what does 5 represent in a real-world linear model?
■ The initial value when x = 0
● The rate of change per unit
● The maximum value
● The x-intercept
Answer rationale: The y-intercept is the output when the input is zero.
16. For f(x) = -2x + 10, what is f(3)?
■ 4
● 2
● -6
● 13
Answer rationale: Substitute x = 3: f(3) = -2(3) + 10 = 4.
, 17. A linear model is y = 3x + 7. What is its constant rate of change?
■ 3
● 7
● 10
● 3x
Answer rationale: For y = mx + b, the slope m is the constant rate of change.
18. A service charges a fixed fee of $4 plus $5 per unit. Which model gives total cost C for x units?
■ C = 5x + 4
● C = 4x + 5
● C = 5+4x²
● C = 5x-4
Answer rationale: Fixed fee is the intercept; per-unit charge is the slope.
19. What is the slope through (1, 8) and (5, 24)?
■ 4
● 16
● 4
● -4
Answer rationale: Slope = change in y divided by change in x.
20. For y = 4x + 5, what does 5 represent in a real-world linear model?
■ The initial value when x = 0
● The rate of change per unit
● The maximum value
● The x-intercept
Answer rationale: The y-intercept is the output when the input is zero.
21. For f(x) = -3x + 7, what is f(2)?
■ 1
● -2
● -6
● 9
Answer rationale: Substitute x = 2: f(2) = -3(2) + 7 = 1.
22. A linear model is y = 5x + 7. What is its constant rate of change?
■ 5
● 7
● 12
● 5x
Answer rationale: For y = mx + b, the slope m is the constant rate of change.
Exam-Style Practice Questions with Correct Answers and
Complete Study Guide
250 original practice questions aligned to the published C957 competency areas. This is not an official WGU exam and does not reproduce
secure or proprietary assessment items.
linear model
Question 1 begins immediately below.
1. For f(x) = -3x + 10, what is f(3)?
■ 1
● -2
● -9
● 13
Answer rationale: Substitute x = 3: f(3) = -3(3) + 10 = 1.
2. A linear model is y = 4x + 4. What is its constant rate of change?
■ 4
● 4
● 8
● 4x
Answer rationale: For y = mx + b, the slope m is the constant rate of change.
3. A service charges a fixed fee of $6 plus $5 per unit. Which model gives total cost C for x units?
■ C = 5x + 6
● C = 6x + 5
● C = 5+6x²
● C = 5x-6
Answer rationale: Fixed fee is the intercept; per-unit charge is the slope.
4. What is the slope through (1, 4) and (5, 12)?
■ 2
● 8
● 4
● -2
Answer rationale: Slope = change in y divided by change in x.
,5. For y = 2x + 10, what does 10 represent in a real-world linear model?
■ The initial value when x = 0
● The rate of change per unit
● The maximum value
● The x-intercept
Answer rationale: The y-intercept is the output when the input is zero.
6. For f(x) = 3x + 10, what is f(4)?
■ 22
● 25
● 12
● 14
Answer rationale: Substitute x = 4: f(4) = 3(4) + 10 = 22.
7. A linear model is y = 5x + 7. What is its constant rate of change?
■ 5
● 7
● 12
● 5x
Answer rationale: For y = mx + b, the slope m is the constant rate of change.
8. A service charges a fixed fee of $4 plus $3 per unit. Which model gives total cost C for x units?
■ C = 3x + 4
● C = 4x + 3
● C = 3+4x²
● C = 3x-4
Answer rationale: Fixed fee is the intercept; per-unit charge is the slope.
9. What is the slope through (1, 4) and (5, 16)?
■ 3
● 12
● 4
● -3
Answer rationale: Slope = change in y divided by change in x.
10. For y = 3x + 5, what does 5 represent in a real-world linear model?
■ The initial value when x = 0
● The rate of change per unit
● The maximum value
● The x-intercept
Answer rationale: The y-intercept is the output when the input is zero.
,11. For f(x) = 4x + 5, what is f(4)?
■ 21
● 25
● 16
● 9
Answer rationale: Substitute x = 4: f(4) = 4(4) + 5 = 21.
12. A linear model is y = 2x + 7. What is its constant rate of change?
■ 2
● 7
● 9
● 2x
Answer rationale: For y = mx + b, the slope m is the constant rate of change.
13. A service charges a fixed fee of $6 plus $3 per unit. Which model gives total cost C for x units?
■ C = 3x + 6
● C = 6x + 3
● C = 3+6x²
● C = 3x-6
Answer rationale: Fixed fee is the intercept; per-unit charge is the slope.
14. What is the slope through (1, 6) and (5, 22)?
■ 4
● 16
● 4
● -4
Answer rationale: Slope = change in y divided by change in x.
15. For y = 4x + 5, what does 5 represent in a real-world linear model?
■ The initial value when x = 0
● The rate of change per unit
● The maximum value
● The x-intercept
Answer rationale: The y-intercept is the output when the input is zero.
16. For f(x) = -2x + 10, what is f(3)?
■ 4
● 2
● -6
● 13
Answer rationale: Substitute x = 3: f(3) = -2(3) + 10 = 4.
, 17. A linear model is y = 3x + 7. What is its constant rate of change?
■ 3
● 7
● 10
● 3x
Answer rationale: For y = mx + b, the slope m is the constant rate of change.
18. A service charges a fixed fee of $4 plus $5 per unit. Which model gives total cost C for x units?
■ C = 5x + 4
● C = 4x + 5
● C = 5+4x²
● C = 5x-4
Answer rationale: Fixed fee is the intercept; per-unit charge is the slope.
19. What is the slope through (1, 8) and (5, 24)?
■ 4
● 16
● 4
● -4
Answer rationale: Slope = change in y divided by change in x.
20. For y = 4x + 5, what does 5 represent in a real-world linear model?
■ The initial value when x = 0
● The rate of change per unit
● The maximum value
● The x-intercept
Answer rationale: The y-intercept is the output when the input is zero.
21. For f(x) = -3x + 7, what is f(2)?
■ 1
● -2
● -6
● 9
Answer rationale: Substitute x = 2: f(2) = -3(2) + 7 = 1.
22. A linear model is y = 5x + 7. What is its constant rate of change?
■ 5
● 7
● 12
● 5x
Answer rationale: For y = mx + b, the slope m is the constant rate of change.
