Liberty University UNIV 104 Math Assessment
Practice Assessment — Complete Solutions &
Answer Key 2026/2027 Academic Year.
PART 1: Basic Arithmetic, Fractions, Decimals & Percentages (20 Questions)
Sub-Topic: Order of Operations (PEMDAS) — 4 Questions
Question 1 (Multiple-Choice) Evaluate: 12 + 8 × 3 − 18 ÷ 2
A) 33
B) 27
C) 21
D) 15
Correct Answer: B) 27 [CORRECT]
Rationale: Following PEMDAS (Parentheses, Exponents, Multiplication/Division left-to-right,
Addition/Subtraction left-to-right):
• Step 1: Multiplication → 8 × 3 = 24
• Step 2: Division → 18 ÷ 2 = 9
• Step 3: Addition → 12 + 24 = 36
• Step 4: Subtraction → 36 − 9 = 27
Question 2 (Multiple-Choice) Evaluate: (15 − 7)² ÷ 4 + 3 × 5
A) 31
B) 36
C) 25
D) 19
Correct Answer: A) 31 [CORRECT]
Rationale: Following PEMDAS:
, • Step 1: Parentheses → (15 − 7) = 8
• Step 2: Exponents → 8² = 64
• Step 3: Division → 64 ÷ 4 = 16
• Step 4: Multiplication → 3 × 5 = 15
• Step 5: Addition → 16 + 15 = 31
Question 3 (Fill-in-Blank) Evaluate: 20 − 3² × 2 + (12 ÷ 4)
Correct Answer: 13 [CORRECT]
Rationale: Following PEMDAS:
• Step 1: Parentheses → (12 ÷ 4) = 3
• Step 2: Exponents → 3² = 9
• Step 3: Multiplication → 9 × 2 = 18
• Step 4: Subtraction → 20 − 18 = 2
• Step 5: Addition → 2 + 3 = 13
Question 4 (Multiple-Choice) Evaluate: 48 ÷ (6 + 2) × 3 − 5
A) 13
B) 22
C) 7
D) 28
Correct Answer: A) 13 [CORRECT]
Rationale: Following PEMDAS:
• Step 1: Parentheses → (6 + 2) = 8
• Step 2: Division → 48 ÷ 8 = 6
• Step 3: Multiplication → 6 × 3 = 18
• Step 4: Subtraction → 18 − 5 = 13
, Sub-Topic: Fractions — 4 Questions
Question 5 (Multiple-Choice) Simplify: 3/4 + 5/6
A) 8/10
B) 19/12
C) 1 7/12
D) Both B and C
Correct Answer: D) Both B and C [CORRECT]
Rationale: To add fractions with unlike denominators:
• Step 1: Find the least common denominator (LCD) of 4 and 6, which is 12.
• Step 2: Convert each fraction: 3/4 = 9/12 and 5/6 = 10/12.
• Step 3: Add the numerators: 9/12 + 10/12 = 19/12.
• Step 4: Convert to mixed number: 19/12 = 1 7/12. Both 19/12 and 1 7/12 are correct
representations.
Question 6 (Fill-in-Blank) Calculate: 7/8 − 1/3
Correct Answer: 13/24 [CORRECT]
Rationale: To subtract fractions with unlike denominators:
• Step 1: Find the LCD of 8 and 3, which is 24.
• Step 2: Convert each fraction: 7/8 = 21/24 and 1/3 = 8/24.
• Step 3: Subtract the numerators: 21/24 − 8/24 = 13/24.
Question 7 (Multiple-Choice) Calculate: 2 1/4 × 1 1/3
A) 2 1/12
B) 3
C) 2 7/12
D) 4
Correct Answer: B) 3 [CORRECT]
Practice Assessment — Complete Solutions &
Answer Key 2026/2027 Academic Year.
PART 1: Basic Arithmetic, Fractions, Decimals & Percentages (20 Questions)
Sub-Topic: Order of Operations (PEMDAS) — 4 Questions
Question 1 (Multiple-Choice) Evaluate: 12 + 8 × 3 − 18 ÷ 2
A) 33
B) 27
C) 21
D) 15
Correct Answer: B) 27 [CORRECT]
Rationale: Following PEMDAS (Parentheses, Exponents, Multiplication/Division left-to-right,
Addition/Subtraction left-to-right):
• Step 1: Multiplication → 8 × 3 = 24
• Step 2: Division → 18 ÷ 2 = 9
• Step 3: Addition → 12 + 24 = 36
• Step 4: Subtraction → 36 − 9 = 27
Question 2 (Multiple-Choice) Evaluate: (15 − 7)² ÷ 4 + 3 × 5
A) 31
B) 36
C) 25
D) 19
Correct Answer: A) 31 [CORRECT]
Rationale: Following PEMDAS:
, • Step 1: Parentheses → (15 − 7) = 8
• Step 2: Exponents → 8² = 64
• Step 3: Division → 64 ÷ 4 = 16
• Step 4: Multiplication → 3 × 5 = 15
• Step 5: Addition → 16 + 15 = 31
Question 3 (Fill-in-Blank) Evaluate: 20 − 3² × 2 + (12 ÷ 4)
Correct Answer: 13 [CORRECT]
Rationale: Following PEMDAS:
• Step 1: Parentheses → (12 ÷ 4) = 3
• Step 2: Exponents → 3² = 9
• Step 3: Multiplication → 9 × 2 = 18
• Step 4: Subtraction → 20 − 18 = 2
• Step 5: Addition → 2 + 3 = 13
Question 4 (Multiple-Choice) Evaluate: 48 ÷ (6 + 2) × 3 − 5
A) 13
B) 22
C) 7
D) 28
Correct Answer: A) 13 [CORRECT]
Rationale: Following PEMDAS:
• Step 1: Parentheses → (6 + 2) = 8
• Step 2: Division → 48 ÷ 8 = 6
• Step 3: Multiplication → 6 × 3 = 18
• Step 4: Subtraction → 18 − 5 = 13
, Sub-Topic: Fractions — 4 Questions
Question 5 (Multiple-Choice) Simplify: 3/4 + 5/6
A) 8/10
B) 19/12
C) 1 7/12
D) Both B and C
Correct Answer: D) Both B and C [CORRECT]
Rationale: To add fractions with unlike denominators:
• Step 1: Find the least common denominator (LCD) of 4 and 6, which is 12.
• Step 2: Convert each fraction: 3/4 = 9/12 and 5/6 = 10/12.
• Step 3: Add the numerators: 9/12 + 10/12 = 19/12.
• Step 4: Convert to mixed number: 19/12 = 1 7/12. Both 19/12 and 1 7/12 are correct
representations.
Question 6 (Fill-in-Blank) Calculate: 7/8 − 1/3
Correct Answer: 13/24 [CORRECT]
Rationale: To subtract fractions with unlike denominators:
• Step 1: Find the LCD of 8 and 3, which is 24.
• Step 2: Convert each fraction: 7/8 = 21/24 and 1/3 = 8/24.
• Step 3: Subtract the numerators: 21/24 − 8/24 = 13/24.
Question 7 (Multiple-Choice) Calculate: 2 1/4 × 1 1/3
A) 2 1/12
B) 3
C) 2 7/12
D) 4
Correct Answer: B) 3 [CORRECT]
