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WGU C957 Applied Algebra Final Objective Assessment 2026-2027
BANK QUESTIONS WITH DETAILED VERIFIED ANSWERS
EXAM QUESTIONS WILL COME FROM HERE (100%
CORRECT ANSWERS A+ GRADED
1. A company's profit is modeled by P(x) = -2x^2 + 120x - 800, where x is
the number of units sold. What type of function is this?
A. Linear
B. Quadratic
C. Exponential
D. Logarithmic
Answer: B
Explanation: The function is quadratic because the highest power of the
independent variable x is 2. The general form of a quadratic function is
ax^2 + bx + c, and this model fits that form.
2. In the linear function f(x) = 5x + 20, what does the coefficient 5
represent?
A. The y-intercept
B. The x-intercept
C. The rate of change
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D. The function's maximum value
Answer: C
Explanation: In a linear function f(x) = mx + b, the coefficient m
represents the slope, which is the constant rate of change of the
function. For every one-unit increase in x, the output f(x) increases by 5
units.
3. A linear equation is given by y = -3x + 7. What is the y-intercept of
this line?
A. -3
B. 3
C. 7
D. -7
Answer: C
Explanation: The y-intercept occurs when x = 0. Substituting x = 0 into
the equation yields y = -3(0) + 7 = 7. The y-intercept is the constant
term in the slope-intercept form.
4. Which of the following graphs represents a function?
A. A circle centered at the origin
B. A vertical line
C. A parabola that opens upward
D. A horizontal parabola opening to the right
Answer: C
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Explanation: A function must pass the vertical line test, meaning any
vertical line drawn on the graph intersects the curve at most once. An
upward-opening parabola passes this test. A circle and a horizontal
parabola fail, and a vertical line is not a function.
5. The cost C to produce x items is given by C(x) = 15x + 200. What does
the number 200 represent in this context?
A. The cost per item
B. The fixed cost
C. The total cost to produce 200 items
D. The variable cost
Answer: B
Explanation: In a linear cost model C(x) = mx + b, the constant term b
represents the fixed cost, which is incurred even when zero items are
produced. The coefficient m represents the variable cost per item.
6. A population grows according to the model P(t) = 500(1.04)^t, where
t is in years. What is the annual growth rate?
A. 500%
B. 4%
C. 1.04%
D. 0.04%
Answer: B
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Explanation: In an exponential growth model P(t) = P_0(1 + r)^t, the
growth rate r is found from the base. Here, the base is 1.04, so 1 + r =
1.04, meaning r = 0.04, which is 4%.
7. What is the domain of the function f(x) = sqrt(x - 2)?
A. All real numbers
B. x ≥ 0
C. x ≥ 2
D. x > 2
Answer: C
Explanation: The square root function is defined only when the
radicand is non-negative. Setting x - 2 ≥ 0 and solving yields x ≥ 2. At x =
2, the output is 0, which is defined, so the interval includes 2.
8. A graph of a polynomial function has a turning point at (3, -4). What
is the minimum possible degree of this polynomial?
A. 1
B. 2
C. 3
D. 4
Answer: C
Explanation: A polynomial of degree n can have at most n - 1 turning
points. Having one turning point means the degree could be 2.
However, the question specifies it is a turning point, not necessarily
WGU C957 Applied Algebra Final Objective Assessment 2026-2027
BANK QUESTIONS WITH DETAILED VERIFIED ANSWERS
EXAM QUESTIONS WILL COME FROM HERE (100%
CORRECT ANSWERS A+ GRADED
1. A company's profit is modeled by P(x) = -2x^2 + 120x - 800, where x is
the number of units sold. What type of function is this?
A. Linear
B. Quadratic
C. Exponential
D. Logarithmic
Answer: B
Explanation: The function is quadratic because the highest power of the
independent variable x is 2. The general form of a quadratic function is
ax^2 + bx + c, and this model fits that form.
2. In the linear function f(x) = 5x + 20, what does the coefficient 5
represent?
A. The y-intercept
B. The x-intercept
C. The rate of change
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D. The function's maximum value
Answer: C
Explanation: In a linear function f(x) = mx + b, the coefficient m
represents the slope, which is the constant rate of change of the
function. For every one-unit increase in x, the output f(x) increases by 5
units.
3. A linear equation is given by y = -3x + 7. What is the y-intercept of
this line?
A. -3
B. 3
C. 7
D. -7
Answer: C
Explanation: The y-intercept occurs when x = 0. Substituting x = 0 into
the equation yields y = -3(0) + 7 = 7. The y-intercept is the constant
term in the slope-intercept form.
4. Which of the following graphs represents a function?
A. A circle centered at the origin
B. A vertical line
C. A parabola that opens upward
D. A horizontal parabola opening to the right
Answer: C
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Explanation: A function must pass the vertical line test, meaning any
vertical line drawn on the graph intersects the curve at most once. An
upward-opening parabola passes this test. A circle and a horizontal
parabola fail, and a vertical line is not a function.
5. The cost C to produce x items is given by C(x) = 15x + 200. What does
the number 200 represent in this context?
A. The cost per item
B. The fixed cost
C. The total cost to produce 200 items
D. The variable cost
Answer: B
Explanation: In a linear cost model C(x) = mx + b, the constant term b
represents the fixed cost, which is incurred even when zero items are
produced. The coefficient m represents the variable cost per item.
6. A population grows according to the model P(t) = 500(1.04)^t, where
t is in years. What is the annual growth rate?
A. 500%
B. 4%
C. 1.04%
D. 0.04%
Answer: B
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Explanation: In an exponential growth model P(t) = P_0(1 + r)^t, the
growth rate r is found from the base. Here, the base is 1.04, so 1 + r =
1.04, meaning r = 0.04, which is 4%.
7. What is the domain of the function f(x) = sqrt(x - 2)?
A. All real numbers
B. x ≥ 0
C. x ≥ 2
D. x > 2
Answer: C
Explanation: The square root function is defined only when the
radicand is non-negative. Setting x - 2 ≥ 0 and solving yields x ≥ 2. At x =
2, the output is 0, which is defined, so the interval includes 2.
8. A graph of a polynomial function has a turning point at (3, -4). What
is the minimum possible degree of this polynomial?
A. 1
B. 2
C. 3
D. 4
Answer: C
Explanation: A polynomial of degree n can have at most n - 1 turning
points. Having one turning point means the degree could be 2.
However, the question specifies it is a turning point, not necessarily
