PORTAGE LEARNING
MATH 110 All Modules Exam
Official Practice Exam -- 2026/2027 Edition
QUESTIONS MINUTES PASSING SCORE RECERTIFICATION
135 180 80% Required
TABLE OF CONTENTS
Section 1: Fundamentals of Algebra and Linear Equations (Modules 1-2) Q1-Q33 (33Q)
Section 2: Functions, Graphing, and Linear Systems (Modules 3-4) Q34-Q59 (26Q)
Section 3: Polynomials, Rational Expressions, and Radicals (Modules 5-7) Q60-Q87 (28Q)
Section 4: Quadratic, Exponential, and Logarithmic Functions (Modules 8-9) Q88-Q115 (28Q)
Section 5: Conic Sections, Sequences, and Series (Module 10 + Final) Q116-Q135 (20Q)
EXAM INSTRUCTIONS
1. Read each question carefully before selecting your answer.
2. Each question has four options (A, B, C, D). Select the BEST answer.
3. There is no penalty for guessing; answer every question.
4. You have 180 minutes to complete all 135 questions.
5. A score of 80% or higher (108/135) is required to pass.
6. Review the rationale after each question for detailed explanations.
MATH 110 Portage Learning -- 2026/2027 | Passing Score: 80% | Page 1 of 50
,Section 1: Fundamentals of Algebra and Linear Equations (Modules 1-2) | 2026/2027
Q1 Question 1 of 135
Q1. A student is solving 3(x-4)+2=5x-6. After distributing, the value of x is:
A. x=-2
B. x=-4
C. x=2
D. x=4
Correct Answer: A
Rationale:
Simplifying: 3x-12+2=5x-6 gives 3x-10=5x-6, so -2x=4, x=-2. The error x=2 comes from adding 10
instead of subtracting.
Q2 Question 2 of 135
Q2. A student evaluates -3^2 and obtains 9. The correct value of -3^2 is:
A. 9
B. -9
C. 6
D. -6
Correct Answer: B
Rationale:
By order of operations, -3^2 = -(3^2) = -9. Getting 9 means treating it as (-3)^2, which would need
parentheses.
MATH 110 Portage Learning -- 2026/2027 | Passing Score: 80% | Page 2 of 50
,Q3 Question 3 of 135
Q3. A student must simplify 2[3-2(4-7)]+5. Working from the innermost parentheses
outward:
A. 11
B. 9
C. 23
D. 7
Correct Answer: C
Rationale:
Inside out: 4-7=-3, 2(-3)=-6, 3-(-6)=9, 2(9)=18, 18+5=23. The error 11 comes from dropping the
negative sign in 2(4-7).
Q4 Question 4 of 135
Q4. A student solves -2x+7>13. The solution set is:
A. x>-3
B. x>3
C. x<3
D. x<-3
Correct Answer: D
Rationale:
Subtracting 7: -2x>6. Dividing by -2 and flipping: x<-3. The error x>-3 comes from not reversing the
inequality.
MATH 110 Portage Learning -- 2026/2027 | Passing Score: 80% | Page 3 of 50
, Q5 Question 5 of 135
Q5. A store has 25% off. If a customer pays $42.75 after discount, the original price was:
A. $57.00
B. $53.44
C. $51.30
D. $32.06
Correct Answer: A
Rationale:
Let P=original price. 0.75P=42.75, so P=42.75/0.75=57. Adding 25% of 42.75 gives $53.44, which is
incorrect.
Q6 Question 6 of 135
Q6. A student converts 0.7777... to a fraction. The correct fraction is:
A. 77/100
B. 7/9
C. 7/10
D. 77/99
Correct Answer: B
Rationale:
Let x=0.7777..., then 10x=7.7777..., so 10x-x=7, 9x=7, x=7/9. The error 77/100 treats the decimal as
terminating.
MATH 110 Portage Learning -- 2026/2027 | Passing Score: 80% | Page 4 of 50
MATH 110 All Modules Exam
Official Practice Exam -- 2026/2027 Edition
QUESTIONS MINUTES PASSING SCORE RECERTIFICATION
135 180 80% Required
TABLE OF CONTENTS
Section 1: Fundamentals of Algebra and Linear Equations (Modules 1-2) Q1-Q33 (33Q)
Section 2: Functions, Graphing, and Linear Systems (Modules 3-4) Q34-Q59 (26Q)
Section 3: Polynomials, Rational Expressions, and Radicals (Modules 5-7) Q60-Q87 (28Q)
Section 4: Quadratic, Exponential, and Logarithmic Functions (Modules 8-9) Q88-Q115 (28Q)
Section 5: Conic Sections, Sequences, and Series (Module 10 + Final) Q116-Q135 (20Q)
EXAM INSTRUCTIONS
1. Read each question carefully before selecting your answer.
2. Each question has four options (A, B, C, D). Select the BEST answer.
3. There is no penalty for guessing; answer every question.
4. You have 180 minutes to complete all 135 questions.
5. A score of 80% or higher (108/135) is required to pass.
6. Review the rationale after each question for detailed explanations.
MATH 110 Portage Learning -- 2026/2027 | Passing Score: 80% | Page 1 of 50
,Section 1: Fundamentals of Algebra and Linear Equations (Modules 1-2) | 2026/2027
Q1 Question 1 of 135
Q1. A student is solving 3(x-4)+2=5x-6. After distributing, the value of x is:
A. x=-2
B. x=-4
C. x=2
D. x=4
Correct Answer: A
Rationale:
Simplifying: 3x-12+2=5x-6 gives 3x-10=5x-6, so -2x=4, x=-2. The error x=2 comes from adding 10
instead of subtracting.
Q2 Question 2 of 135
Q2. A student evaluates -3^2 and obtains 9. The correct value of -3^2 is:
A. 9
B. -9
C. 6
D. -6
Correct Answer: B
Rationale:
By order of operations, -3^2 = -(3^2) = -9. Getting 9 means treating it as (-3)^2, which would need
parentheses.
MATH 110 Portage Learning -- 2026/2027 | Passing Score: 80% | Page 2 of 50
,Q3 Question 3 of 135
Q3. A student must simplify 2[3-2(4-7)]+5. Working from the innermost parentheses
outward:
A. 11
B. 9
C. 23
D. 7
Correct Answer: C
Rationale:
Inside out: 4-7=-3, 2(-3)=-6, 3-(-6)=9, 2(9)=18, 18+5=23. The error 11 comes from dropping the
negative sign in 2(4-7).
Q4 Question 4 of 135
Q4. A student solves -2x+7>13. The solution set is:
A. x>-3
B. x>3
C. x<3
D. x<-3
Correct Answer: D
Rationale:
Subtracting 7: -2x>6. Dividing by -2 and flipping: x<-3. The error x>-3 comes from not reversing the
inequality.
MATH 110 Portage Learning -- 2026/2027 | Passing Score: 80% | Page 3 of 50
, Q5 Question 5 of 135
Q5. A store has 25% off. If a customer pays $42.75 after discount, the original price was:
A. $57.00
B. $53.44
C. $51.30
D. $32.06
Correct Answer: A
Rationale:
Let P=original price. 0.75P=42.75, so P=42.75/0.75=57. Adding 25% of 42.75 gives $53.44, which is
incorrect.
Q6 Question 6 of 135
Q6. A student converts 0.7777... to a fraction. The correct fraction is:
A. 77/100
B. 7/9
C. 7/10
D. 77/99
Correct Answer: B
Rationale:
Let x=0.7777..., then 10x=7.7777..., so 10x-x=7, 9x=7, x=7/9. The error 77/100 treats the decimal as
terminating.
MATH 110 Portage Learning -- 2026/2027 | Passing Score: 80% | Page 4 of 50
