WGU C957 Applied Algebra OA Exam Prep 2026: 100 Actual
Questions & Verified Detailed Answers
Question 1
Topic: Linear Equation Solution
Question: What is the solution to the equation 2x+6=182x+6=18?
A) x=3x=3
B) x=4x=4
C) x=6x=6
D) x=9x=9
Answer: C) x=6x=6
Rationale: Subtract 6 from both sides: 2x=122x=12. Then divide both sides by
2: x=6x=6 .
Question 2
Topic: Linear Equation Solution
Question: Solve for x:3x−9=0x:3x−9=0
A) x=−3x=−3
B) x=0x=0
C) x=3x=3
D) x=6x=6
Answer: C) x=3x=3
Rationale: Add 9 to both sides: 3x=93x=9. Divide by 3: x=3x=3 .
Question 3
,Topic: Slope-Intercept Form
Question: Which of the following is the slope-intercept form of a linear equation?
A) Ax+By=CAx+By=C
B) y−y1=m(x−x1)y−y1=m(x−x1)
C) y=mx+by=mx+b
D) x=my+bx=my+b
Answer: C) y=mx+by=mx+b
Rationale: The slope-intercept form is y=mx+by=mx+b, where mm is the slope
and bb is the y-intercept .
Question 4
Topic: Slope Calculation
Question: What is the slope of the line passing through (2, 4) and (6, 12)?
A) 1
B) 2
C) 3
D) 4
Answer: B) 2
Rationale: Slope = (y₂ - y₁)/(x₂ - x₁) = (12 - 4)/(6 - 2) = 8/4 = 2 .
Question 5
Topic: Distributive Property
Question: Which property states that a(b+c)=ab+aca(b+c)=ab+ac?
A) Commutative Property
B) Associative Property
C) Identity Property
D) Distributive Property
,Answer: D) Distributive Property
Rationale: The Distributive Property allows multiplication to be distributed over
addition: a(b+c)=ab+aca(b+c)=ab+ac .
Question 6
Topic: Y-Intercept
Question: What is the y-intercept of the line y=4x−7y=4x−7?
A) 4
B) -4
C) 7
D) -7
Answer: D) -7
Rationale: In y=mx+by=mx+b, the y-intercept is bb. Here b=−7b=−7, so the y-
intercept is -7 .
Question 7
Topic: Combining Like Terms
Question: Simplify: 5x+3x−2x5x+3x−2x
A) 6x
B) 7x
C) 8x
D) 10x
Answer: A) 6x
Rationale: Combine like terms: 5x+3x−2x=8x−2x=6x5x+3x−2x=8x−2x=6x .
, Question 8
Topic: Linear Equation with Parentheses
Question: What is the solution to 4(x−3)=204(x−3)=20?
A) x=5x=5
B) x=7x=7
C) x=8x=8
D) x=4x=4
Answer: C) x=8x=8
Rationale: Expand: 4x−12=204x−12=20. Add 12: 4x=324x=32. Divide: x=8x=8 .
Question 9
Topic: Quadratic Equation Identification
Question: Which of the following represents a quadratic equation?
A) y=3x+5y=3x+5
B) y=x3+2y=x3+2
C) y=x2−4x+4y=x2−4x+4
D) y=2/xy=2/x
Answer: C) y=x2−4x+4y=x2−4x+4
Rationale: A quadratic equation has degree 2 with the highest exponent being 2 .
Question 10
Topic: Solving Linear Equation
Question: Solve the linear equation: 3(2x−4)+5=2(x+7)3(2x−4)+5=2(x+7)
A) x=4x=4
B) x=5x=5
Questions & Verified Detailed Answers
Question 1
Topic: Linear Equation Solution
Question: What is the solution to the equation 2x+6=182x+6=18?
A) x=3x=3
B) x=4x=4
C) x=6x=6
D) x=9x=9
Answer: C) x=6x=6
Rationale: Subtract 6 from both sides: 2x=122x=12. Then divide both sides by
2: x=6x=6 .
Question 2
Topic: Linear Equation Solution
Question: Solve for x:3x−9=0x:3x−9=0
A) x=−3x=−3
B) x=0x=0
C) x=3x=3
D) x=6x=6
Answer: C) x=3x=3
Rationale: Add 9 to both sides: 3x=93x=9. Divide by 3: x=3x=3 .
Question 3
,Topic: Slope-Intercept Form
Question: Which of the following is the slope-intercept form of a linear equation?
A) Ax+By=CAx+By=C
B) y−y1=m(x−x1)y−y1=m(x−x1)
C) y=mx+by=mx+b
D) x=my+bx=my+b
Answer: C) y=mx+by=mx+b
Rationale: The slope-intercept form is y=mx+by=mx+b, where mm is the slope
and bb is the y-intercept .
Question 4
Topic: Slope Calculation
Question: What is the slope of the line passing through (2, 4) and (6, 12)?
A) 1
B) 2
C) 3
D) 4
Answer: B) 2
Rationale: Slope = (y₂ - y₁)/(x₂ - x₁) = (12 - 4)/(6 - 2) = 8/4 = 2 .
Question 5
Topic: Distributive Property
Question: Which property states that a(b+c)=ab+aca(b+c)=ab+ac?
A) Commutative Property
B) Associative Property
C) Identity Property
D) Distributive Property
,Answer: D) Distributive Property
Rationale: The Distributive Property allows multiplication to be distributed over
addition: a(b+c)=ab+aca(b+c)=ab+ac .
Question 6
Topic: Y-Intercept
Question: What is the y-intercept of the line y=4x−7y=4x−7?
A) 4
B) -4
C) 7
D) -7
Answer: D) -7
Rationale: In y=mx+by=mx+b, the y-intercept is bb. Here b=−7b=−7, so the y-
intercept is -7 .
Question 7
Topic: Combining Like Terms
Question: Simplify: 5x+3x−2x5x+3x−2x
A) 6x
B) 7x
C) 8x
D) 10x
Answer: A) 6x
Rationale: Combine like terms: 5x+3x−2x=8x−2x=6x5x+3x−2x=8x−2x=6x .
, Question 8
Topic: Linear Equation with Parentheses
Question: What is the solution to 4(x−3)=204(x−3)=20?
A) x=5x=5
B) x=7x=7
C) x=8x=8
D) x=4x=4
Answer: C) x=8x=8
Rationale: Expand: 4x−12=204x−12=20. Add 12: 4x=324x=32. Divide: x=8x=8 .
Question 9
Topic: Quadratic Equation Identification
Question: Which of the following represents a quadratic equation?
A) y=3x+5y=3x+5
B) y=x3+2y=x3+2
C) y=x2−4x+4y=x2−4x+4
D) y=2/xy=2/x
Answer: C) y=x2−4x+4y=x2−4x+4
Rationale: A quadratic equation has degree 2 with the highest exponent being 2 .
Question 10
Topic: Solving Linear Equation
Question: Solve the linear equation: 3(2x−4)+5=2(x+7)3(2x−4)+5=2(x+7)
A) x=4x=4
B) x=5x=5
