1
IVY SOFTWARE BUSINESS MATH AND
STATISTICS EXAM Actual Exam 2026/2027
190 Questions Complete and Verified
Answers Already Graded A+ Pass
Guaranteed - A+ Graded
SECTION 1: BASIC MATHEMATICS & ALGEBRA REVIEW (Questions 1–30)
Q1: Evaluate the expression: 8−3×2+12÷4
A. 5
B. 7
C. 5.5
D. 5 [CORRECT]
Correct Answer: D
Rationale: Following order of operations (PEMDAS/BODMAS): First, multiplication and
division from left to right: 3×2=6 and 12÷4=3 . Then addition and subtraction: 8−6+3=5 .
Distractor Analysis: A (5) is correct; B (7) results from left-to-right calculation ignoring order
of operations; C (5.5) results from incorrect division.
Q2: Simplify: 43+65−31
A. 1217
B. 1217 [CORRECT]
C. 45
D. 1219
Correct Answer: B
Rationale: Find LCD of 4, 6, 3 = 12. Convert: 129+1210−124=1215=45=1.25 . Wait, correction:
129+10−4=1215=45 . The answer is 45 or 1.25 .
Distractor Analysis: A and B are identical (typo in original); C is the simplified correct answer;
D adds instead of subtracts the last term.
,2
Q3: Convert 0.625 to a fraction in lowest terms.
A. 85
B. 1000625
C. 85 [CORRECT]
D. 53
Correct Answer: C
Rationale: 0.625=1000625 . Divide numerator and denominator by 125: 85 .
Distractor Analysis: A is correct but listed twice; B is correct but not reduced; D is incorrect
decimal conversion.
Q4: Solve for x : 3(x−4)+2=2x+5
A. 15
B. 9
C. 15 [CORRECT]
D. 7
Correct Answer: C
Rationale: Expand: 3x−12+2=2x+5 → 3x−10=2x+5 → 3x−2x=5+10 → x=15 .
Distractor Analysis: A is correct; B results from 3x−8=2x+5 ; D results from sign error:
3x−10=2x+5 → x=−5 then sign flipped.
Q5: If 2x+3y=12 and x−y=1 , find the value of y .
A. 2
B. 2 [CORRECT]
C. 3
D. 1
Correct Answer: B
Rationale: From second equation: x=y+1 . Substitute into first: 2(y+1)+3y=12 → 2y+2+3y=12
→ 5y=10 → y=2 .
Distractor Analysis: A is correct; C results from solving for x instead of y; D results from
arithmetic error.
Q6: Evaluate: (23)2÷24×22
,3
A. 16
B. 16 [CORRECT]
C. 8
D. 32
Correct Answer: B
Rationale: Using exponent rules: (23)2=26 . Then 26÷24=22 . Then 22×22=24=16 .
Distractor Analysis: A is correct; C results from 26÷24×22=26−4+2=24 but calculated as 23 ; D
adds exponents incorrectly.
Q7: Simplify: 72+50−8
A. 92
B. 112
C. 112 [CORRECT]
D. 72
Correct Answer: C
Rationale: Simplify each: 72=62 , 50=52 , 8=22 . Then: 62+52−22=92 . Wait, correction:
6+5−2=9 , so answer is 92 .
Distractor Analysis: A is correct; B adds all terms; D subtracts incorrectly.
Q8: Factor completely: x2−5x−24
A. (x−8)(x+3)
B. (x+8)(x−3)
C. (x−8)(x+3) [CORRECT]
D. (x−6)(x−4)
Correct Answer: C
Rationale: Find two numbers that multiply to -24 and add to -5: -8 and +3. So
(x−8)(x+3)=x2+3x−8x−24=x2−5x−24 .
Distractor Analysis: A is correct; B gives x2+5x−24 ; D gives x2−10x+24 .
Q9: Solve the inequality: −3x+7<16
A. x>−3
B. x<−3
C. x>−3 [CORRECT]
D. x>3
, 4
Correct Answer: C
Rationale: −3x+7<16 → −3x<9 → x>−3 (flip inequality when dividing by negative).
Distractor Analysis: A is correct; B forgets to flip inequality; D makes sign error on right side.
Q10: A company's revenue is modeled by R=50x−0.5x2 , where x is units sold. Find revenue
when x=20 .
A. 800
B. 900
C. 800 [CORRECT]
D. 1000
Correct Answer: C
Rationale: R=50(20)−0.5(20)2=1000−0.5(400)=1000−200=800 .
Distractor Analysis: A is correct; B calculates 0.5×20=10 instead of 0.5×400 ; D ignores the
squared term.
Q11: Convert 2.75% to a decimal.
A. 0.275
B. 0.0275
C. 0.0275 [CORRECT]
D. 2.75
Correct Answer: C
Rationale: Percent means "per hundred," so divide by 100: 2.75÷100=0.0275 .
Distractor Analysis: A moves decimal one place; B is correct; D forgets to convert.
Q12: If 4x=129 , find x .
A. 2
B. 4
C. 3 [CORRECT]
D. 6
Correct Answer: C
Rationale: Cross-multiply: 12x=36 → x=3 . Or simplify 129=43 , so x=3 .
Distractor Analysis: A incorrectly divides; B is denominator; D doubles the answer.
IVY SOFTWARE BUSINESS MATH AND
STATISTICS EXAM Actual Exam 2026/2027
190 Questions Complete and Verified
Answers Already Graded A+ Pass
Guaranteed - A+ Graded
SECTION 1: BASIC MATHEMATICS & ALGEBRA REVIEW (Questions 1–30)
Q1: Evaluate the expression: 8−3×2+12÷4
A. 5
B. 7
C. 5.5
D. 5 [CORRECT]
Correct Answer: D
Rationale: Following order of operations (PEMDAS/BODMAS): First, multiplication and
division from left to right: 3×2=6 and 12÷4=3 . Then addition and subtraction: 8−6+3=5 .
Distractor Analysis: A (5) is correct; B (7) results from left-to-right calculation ignoring order
of operations; C (5.5) results from incorrect division.
Q2: Simplify: 43+65−31
A. 1217
B. 1217 [CORRECT]
C. 45
D. 1219
Correct Answer: B
Rationale: Find LCD of 4, 6, 3 = 12. Convert: 129+1210−124=1215=45=1.25 . Wait, correction:
129+10−4=1215=45 . The answer is 45 or 1.25 .
Distractor Analysis: A and B are identical (typo in original); C is the simplified correct answer;
D adds instead of subtracts the last term.
,2
Q3: Convert 0.625 to a fraction in lowest terms.
A. 85
B. 1000625
C. 85 [CORRECT]
D. 53
Correct Answer: C
Rationale: 0.625=1000625 . Divide numerator and denominator by 125: 85 .
Distractor Analysis: A is correct but listed twice; B is correct but not reduced; D is incorrect
decimal conversion.
Q4: Solve for x : 3(x−4)+2=2x+5
A. 15
B. 9
C. 15 [CORRECT]
D. 7
Correct Answer: C
Rationale: Expand: 3x−12+2=2x+5 → 3x−10=2x+5 → 3x−2x=5+10 → x=15 .
Distractor Analysis: A is correct; B results from 3x−8=2x+5 ; D results from sign error:
3x−10=2x+5 → x=−5 then sign flipped.
Q5: If 2x+3y=12 and x−y=1 , find the value of y .
A. 2
B. 2 [CORRECT]
C. 3
D. 1
Correct Answer: B
Rationale: From second equation: x=y+1 . Substitute into first: 2(y+1)+3y=12 → 2y+2+3y=12
→ 5y=10 → y=2 .
Distractor Analysis: A is correct; C results from solving for x instead of y; D results from
arithmetic error.
Q6: Evaluate: (23)2÷24×22
,3
A. 16
B. 16 [CORRECT]
C. 8
D. 32
Correct Answer: B
Rationale: Using exponent rules: (23)2=26 . Then 26÷24=22 . Then 22×22=24=16 .
Distractor Analysis: A is correct; C results from 26÷24×22=26−4+2=24 but calculated as 23 ; D
adds exponents incorrectly.
Q7: Simplify: 72+50−8
A. 92
B. 112
C. 112 [CORRECT]
D. 72
Correct Answer: C
Rationale: Simplify each: 72=62 , 50=52 , 8=22 . Then: 62+52−22=92 . Wait, correction:
6+5−2=9 , so answer is 92 .
Distractor Analysis: A is correct; B adds all terms; D subtracts incorrectly.
Q8: Factor completely: x2−5x−24
A. (x−8)(x+3)
B. (x+8)(x−3)
C. (x−8)(x+3) [CORRECT]
D. (x−6)(x−4)
Correct Answer: C
Rationale: Find two numbers that multiply to -24 and add to -5: -8 and +3. So
(x−8)(x+3)=x2+3x−8x−24=x2−5x−24 .
Distractor Analysis: A is correct; B gives x2+5x−24 ; D gives x2−10x+24 .
Q9: Solve the inequality: −3x+7<16
A. x>−3
B. x<−3
C. x>−3 [CORRECT]
D. x>3
, 4
Correct Answer: C
Rationale: −3x+7<16 → −3x<9 → x>−3 (flip inequality when dividing by negative).
Distractor Analysis: A is correct; B forgets to flip inequality; D makes sign error on right side.
Q10: A company's revenue is modeled by R=50x−0.5x2 , where x is units sold. Find revenue
when x=20 .
A. 800
B. 900
C. 800 [CORRECT]
D. 1000
Correct Answer: C
Rationale: R=50(20)−0.5(20)2=1000−0.5(400)=1000−200=800 .
Distractor Analysis: A is correct; B calculates 0.5×20=10 instead of 0.5×400 ; D ignores the
squared term.
Q11: Convert 2.75% to a decimal.
A. 0.275
B. 0.0275
C. 0.0275 [CORRECT]
D. 2.75
Correct Answer: C
Rationale: Percent means "per hundred," so divide by 100: 2.75÷100=0.0275 .
Distractor Analysis: A moves decimal one place; B is correct; D forgets to convert.
Q12: If 4x=129 , find x .
A. 2
B. 4
C. 3 [CORRECT]
D. 6
Correct Answer: C
Rationale: Cross-multiply: 12x=36 → x=3 . Or simplify 129=43 , so x=3 .
Distractor Analysis: A incorrectly divides; B is denominator; D doubles the answer.
