LIBERTY UNIVERSITY MATH ASSESSMENT PART 1 |
Complete Latest Solutions | Attempt Score 23/30 Points |
Verified Answers | Pass Guaranteed - A+ Graded
Score Interpretation: 23/30 (77%) - Placement recommendation: MATH 121 College
Algebra or MATH 128 Precalculus (depending on major requirements)
Section 1: Arithmetic & Basic Operations (Q1-6)
Q1. Compute: 41+32
A. 73
B. 1211
C. 123
D. 21
Correct Answer: B
Rationale: To add fractions, find a common denominator (LCD of 4 and 3 is 12): 41
=123 and 32=128 , so 123+128=1211 . Option A adds numerators and denominators
separately. Option C finds the LCD but adds numerators without converting. Option
D is a random distractor. Common Error at 23/30 Level: Adding numerators and
denominators directly (1+2)/(4+3) = 3/7; always find common denominator first.
Q2. Compute: 32÷54
A. 158
B. 65
C. 56
D. 1210
, Correct Answer: B
Rationale: Division by a fraction equals multiplication by its reciprocal: 32÷54=32×45
=1210=65 . Option A multiplies instead of dividing. Option C inverts the wrong
fraction. Option D fails to reduce. Common Error at 23/30 Level: Forgetting to
invert the divisor (multiplying by 4/5 instead of 5/4); always flip the second fraction
and multiply.
Q3. Evaluate using order of operations (PEMDAS): 8+6×2−10÷5
A. 6
B. 18
C. 20
D. 24
Correct Answer: B
Rationale: PEMDAS: Multiplication and Division first (left to right): 6×2=12 and
10÷5=2 . Then Addition/Subtraction: 8+12−2=18 . Option A does all operations left
to right. Option C adds before multiplying. Option D adds all numbers. Common
Error at 23/30 Level: Working strictly left-to-right without PEMDAS hierarchy;
exponents and multiplication/division always precede addition/subtraction.
Q4. A store is offering a 25% discount on all items. If a customer pays $45 after the
discount, what was the original price?
A. $56.25
B. $60
C. $33.75
D. $80
Correct Answer: B
Rationale: Let x = original price. After 25% discount, the customer pays 75% of
original: 0.75x=45 , so x=45÷0.75=60 . Option A calculates 25% of $45 and adds it.
Complete Latest Solutions | Attempt Score 23/30 Points |
Verified Answers | Pass Guaranteed - A+ Graded
Score Interpretation: 23/30 (77%) - Placement recommendation: MATH 121 College
Algebra or MATH 128 Precalculus (depending on major requirements)
Section 1: Arithmetic & Basic Operations (Q1-6)
Q1. Compute: 41+32
A. 73
B. 1211
C. 123
D. 21
Correct Answer: B
Rationale: To add fractions, find a common denominator (LCD of 4 and 3 is 12): 41
=123 and 32=128 , so 123+128=1211 . Option A adds numerators and denominators
separately. Option C finds the LCD but adds numerators without converting. Option
D is a random distractor. Common Error at 23/30 Level: Adding numerators and
denominators directly (1+2)/(4+3) = 3/7; always find common denominator first.
Q2. Compute: 32÷54
A. 158
B. 65
C. 56
D. 1210
, Correct Answer: B
Rationale: Division by a fraction equals multiplication by its reciprocal: 32÷54=32×45
=1210=65 . Option A multiplies instead of dividing. Option C inverts the wrong
fraction. Option D fails to reduce. Common Error at 23/30 Level: Forgetting to
invert the divisor (multiplying by 4/5 instead of 5/4); always flip the second fraction
and multiply.
Q3. Evaluate using order of operations (PEMDAS): 8+6×2−10÷5
A. 6
B. 18
C. 20
D. 24
Correct Answer: B
Rationale: PEMDAS: Multiplication and Division first (left to right): 6×2=12 and
10÷5=2 . Then Addition/Subtraction: 8+12−2=18 . Option A does all operations left
to right. Option C adds before multiplying. Option D adds all numbers. Common
Error at 23/30 Level: Working strictly left-to-right without PEMDAS hierarchy;
exponents and multiplication/division always precede addition/subtraction.
Q4. A store is offering a 25% discount on all items. If a customer pays $45 after the
discount, what was the original price?
A. $56.25
B. $60
C. $33.75
D. $80
Correct Answer: B
Rationale: Let x = original price. After 25% discount, the customer pays 75% of
original: 0.75x=45 , so x=45÷0.75=60 . Option A calculates 25% of $45 and adds it.
