WGU C957 Applied Algebra OA Exam 2026 |
Verified Questions & Answers + Practice Test
Bank | Latest Objective Assessment Prep
WGU C957 APPLIED ALGEBRA — OA EXAM PREP
300 Verified Practice Questions | Latest 2026 Edition
Q1. What is the solution to the equation 2x + 6 = 18?
A) x = 3
B) x = 4
C) x = 6
D) x = 9
E) x = 12
CORRECT ANSWER: C) x = 6
RATIONALE: Subtract 6 from both sides: 2x = 12. Then divide both sides by 2: x =
6.
Q2. Which of the following is the slope-intercept form of a linear equation?
A) Ax + By = C
B) y − y₁ = m(x − x₁)
C) y = mx + b
D) x = my + b
E) y = bx + m
CORRECT ANSWER: C) y = mx + b
RATIONALE: The slope-intercept form is y = mx + b, where m is the slope and b is
the y-intercept.
Q3. What is the slope of the line passing through (2, 4) and (6, 12)?
,A) 1
B) 2
C) 3
D) 4
E) 6
CORRECT ANSWER: B) 2
RATIONALE: Slope = (y₂ − y₁)/(x₂ − x₁) = (12 − 4)/(6 − 2) = 8/4 = 2.
Q4. Solve for x: 3x − 9 = 0
A) x = −3
B) x = 0
C) x = 3
D) x = 6
E) x = 9
CORRECT ANSWER: C) x = 3
RATIONALE: Add 9 to both sides: 3x = 9. Divide by 3: x = 3.
Q5. Which property states that a(b + c) = ab + ac?
A) Commutative Property
B) Associative Property
C) Identity Property
D) Distributive Property
E) Inverse Property
CORRECT ANSWER: D) Distributive Property
RATIONALE: The Distributive Property allows multiplication to be distributed over
addition: a(b + c) = ab + ac.
,Q6. What is the y-intercept of the line y = 4x − 7?
A) 4
B) −4
C) 7
D) −7
E) 0
CORRECT ANSWER: D) −7
RATIONALE: In y = mx + b, the y-intercept is b. Here b = −7, so the y-intercept is
−7.
Q7. Simplify: 5x + 3x − 2x
A) 6x
B) 7x
C) 8x
D) 10x
E) 4x
CORRECT ANSWER: A) 6x
RATIONALE: Combine like terms: 5x + 3x − 2x = 8x − 2x = 6x.
Q8. What is the solution to 4(x − 3) = 20?
A) x = 5
B) x = 7
C) x = 8
D) x = 4
E) x = 2
CORRECT ANSWER: C) x = 8
RATIONALE: Expand: 4x − 12 = 20. Add 12: 4x = 32. Divide: x = 8.
, Q9. Which of the following represents a quadratic equation?
A) y = 3x + 5
B) y = x³ + 2
C) y = x² − 4x + 4
D) y = 2/x
E) y = √x
CORRECT ANSWER: C) y = x² − 4x + 4
RATIONALE: A quadratic equation has the form ax² + bx + c = 0. Only option C
has a squared term with no higher power.
Q10. What are the roots of x² − 9 = 0?
A) x = 3 only
B) x = −3 only
C) x = 9 and x = −9
D) x = 3 and x = −3
E) x = 0 and x = 9
CORRECT ANSWER: D) x = 3 and x = −3
RATIONALE: x² = 9, so x = ±√9 = ±3.
Q11. Evaluate f(x) = 2x² + 3 when x = 4
A) 35
B) 37
C) 38
D) 19
E) 11
CORRECT ANSWER: A) 35
Verified Questions & Answers + Practice Test
Bank | Latest Objective Assessment Prep
WGU C957 APPLIED ALGEBRA — OA EXAM PREP
300 Verified Practice Questions | Latest 2026 Edition
Q1. What is the solution to the equation 2x + 6 = 18?
A) x = 3
B) x = 4
C) x = 6
D) x = 9
E) x = 12
CORRECT ANSWER: C) x = 6
RATIONALE: Subtract 6 from both sides: 2x = 12. Then divide both sides by 2: x =
6.
Q2. Which of the following is the slope-intercept form of a linear equation?
A) Ax + By = C
B) y − y₁ = m(x − x₁)
C) y = mx + b
D) x = my + b
E) y = bx + m
CORRECT ANSWER: C) y = mx + b
RATIONALE: The slope-intercept form is y = mx + b, where m is the slope and b is
the y-intercept.
Q3. What is the slope of the line passing through (2, 4) and (6, 12)?
,A) 1
B) 2
C) 3
D) 4
E) 6
CORRECT ANSWER: B) 2
RATIONALE: Slope = (y₂ − y₁)/(x₂ − x₁) = (12 − 4)/(6 − 2) = 8/4 = 2.
Q4. Solve for x: 3x − 9 = 0
A) x = −3
B) x = 0
C) x = 3
D) x = 6
E) x = 9
CORRECT ANSWER: C) x = 3
RATIONALE: Add 9 to both sides: 3x = 9. Divide by 3: x = 3.
Q5. Which property states that a(b + c) = ab + ac?
A) Commutative Property
B) Associative Property
C) Identity Property
D) Distributive Property
E) Inverse Property
CORRECT ANSWER: D) Distributive Property
RATIONALE: The Distributive Property allows multiplication to be distributed over
addition: a(b + c) = ab + ac.
,Q6. What is the y-intercept of the line y = 4x − 7?
A) 4
B) −4
C) 7
D) −7
E) 0
CORRECT ANSWER: D) −7
RATIONALE: In y = mx + b, the y-intercept is b. Here b = −7, so the y-intercept is
−7.
Q7. Simplify: 5x + 3x − 2x
A) 6x
B) 7x
C) 8x
D) 10x
E) 4x
CORRECT ANSWER: A) 6x
RATIONALE: Combine like terms: 5x + 3x − 2x = 8x − 2x = 6x.
Q8. What is the solution to 4(x − 3) = 20?
A) x = 5
B) x = 7
C) x = 8
D) x = 4
E) x = 2
CORRECT ANSWER: C) x = 8
RATIONALE: Expand: 4x − 12 = 20. Add 12: 4x = 32. Divide: x = 8.
, Q9. Which of the following represents a quadratic equation?
A) y = 3x + 5
B) y = x³ + 2
C) y = x² − 4x + 4
D) y = 2/x
E) y = √x
CORRECT ANSWER: C) y = x² − 4x + 4
RATIONALE: A quadratic equation has the form ax² + bx + c = 0. Only option C
has a squared term with no higher power.
Q10. What are the roots of x² − 9 = 0?
A) x = 3 only
B) x = −3 only
C) x = 9 and x = −9
D) x = 3 and x = −3
E) x = 0 and x = 9
CORRECT ANSWER: D) x = 3 and x = −3
RATIONALE: x² = 9, so x = ±√9 = ±3.
Q11. Evaluate f(x) = 2x² + 3 when x = 4
A) 35
B) 37
C) 38
D) 19
E) 11
CORRECT ANSWER: A) 35
