ALEKS Math Placement Test Prep 2026: 200
Complete MCQs, Verified Answers & Rationales
(GUARANTEED PASS)
This comprehensive 200-question practice exam guide is
specifically designed to help students master the ALEKS Math
Placement Assessment. It features a wide range of clear
multiple-choice questions covering real numbers, algebra,
geometry, and trigonometry. Every question includes a
verified answer key and a step-by-step conceptual rationale
to guarantee top-tier scores and class placement.
1. Evaluate the expression: 8 - 3 × (4 - 1)
A) 15
B) -1
C) 5
D) 1
Answer: B)
Rationale: Following the order of operations (PEMDAS), first
solve the subtraction inside the parentheses: 4 - 1 = 3. Next,
,perform the multiplication: 3 × 3 = 9. Finally, subtract: 8 - 9 =
-1.
2. Simplify the fraction to its lowest terms:
\(\frac{48}{64}\)
A) \(\frac{2}{3}\)
B) \(\frac{3}{4}\)
C) \(\frac{4}{5}\)
D) \(\frac{6}{8}\)
Answer: B)
Rationale: To simplify a fraction, divide both the top and
bottom by their greatest common factor (GCF). The GCF of 48
and 64 is 16. \(\frac{48 \div 16}{64 \div 16} =
\frac{3}{4}\).
3. Change 0.45 into a fraction in simplest form.
A) \(\frac{45}{10}\)
B) \(\frac{9}{20}\)
C) \(\frac{4}{5}\)
D) \(\frac{9}{10}\)
Answer: B)
Rationale: 0.45 means forty-five hundredths, which is written
,as \(\frac{45}{100}\). Divide the top and bottom by their
GCF of 5 to get \(\frac{9}{20}\).
4. Solve for x: 3x + 7 = 22
A) x = 5
B) x = 9.6
C) x = 3
D) x = 4
Answer: A)
Rationale: First, subtract 7 from both sides of the equation to
get 3x = 15. Then, divide both sides by 3 to find x = 5.
5. Find the value of x: 5(x - 2) = 20
A) x = 4
B) x = 2
C) x = 6
D) x = 8
Answer: C)
Rationale: Distribute the 5 into the parentheses to get 5x - 10
= 20. Add 10 to both sides to get 5x = 30. Divide by 5 to find x
= 6.
6. What is 15% of 120?
, A) 18
B) 12
C) 15
D) 24
Answer: A)
Rationale: Change 15% to a decimal, which is 0.15. Multiply 0.15
by 120 to get 18.
7. Simplify the expression: 3x² + 5x - 2x² + 4x
A) 5x² + 9x
B) x² + 9x
C) x⁴ + 9x²
D) 4x² + 2x
Answer: B)
Rationale: Combine the like terms. For the x² terms: 3x² - 2x²
= x². For the x terms: 5x + 4x = 9x. This gives x² + 9x.
8. Find the value of 2³ × 3².
A) 36
B) 43
C) 72
D) 54
Answer: C)
Complete MCQs, Verified Answers & Rationales
(GUARANTEED PASS)
This comprehensive 200-question practice exam guide is
specifically designed to help students master the ALEKS Math
Placement Assessment. It features a wide range of clear
multiple-choice questions covering real numbers, algebra,
geometry, and trigonometry. Every question includes a
verified answer key and a step-by-step conceptual rationale
to guarantee top-tier scores and class placement.
1. Evaluate the expression: 8 - 3 × (4 - 1)
A) 15
B) -1
C) 5
D) 1
Answer: B)
Rationale: Following the order of operations (PEMDAS), first
solve the subtraction inside the parentheses: 4 - 1 = 3. Next,
,perform the multiplication: 3 × 3 = 9. Finally, subtract: 8 - 9 =
-1.
2. Simplify the fraction to its lowest terms:
\(\frac{48}{64}\)
A) \(\frac{2}{3}\)
B) \(\frac{3}{4}\)
C) \(\frac{4}{5}\)
D) \(\frac{6}{8}\)
Answer: B)
Rationale: To simplify a fraction, divide both the top and
bottom by their greatest common factor (GCF). The GCF of 48
and 64 is 16. \(\frac{48 \div 16}{64 \div 16} =
\frac{3}{4}\).
3. Change 0.45 into a fraction in simplest form.
A) \(\frac{45}{10}\)
B) \(\frac{9}{20}\)
C) \(\frac{4}{5}\)
D) \(\frac{9}{10}\)
Answer: B)
Rationale: 0.45 means forty-five hundredths, which is written
,as \(\frac{45}{100}\). Divide the top and bottom by their
GCF of 5 to get \(\frac{9}{20}\).
4. Solve for x: 3x + 7 = 22
A) x = 5
B) x = 9.6
C) x = 3
D) x = 4
Answer: A)
Rationale: First, subtract 7 from both sides of the equation to
get 3x = 15. Then, divide both sides by 3 to find x = 5.
5. Find the value of x: 5(x - 2) = 20
A) x = 4
B) x = 2
C) x = 6
D) x = 8
Answer: C)
Rationale: Distribute the 5 into the parentheses to get 5x - 10
= 20. Add 10 to both sides to get 5x = 30. Divide by 5 to find x
= 6.
6. What is 15% of 120?
, A) 18
B) 12
C) 15
D) 24
Answer: A)
Rationale: Change 15% to a decimal, which is 0.15. Multiply 0.15
by 120 to get 18.
7. Simplify the expression: 3x² + 5x - 2x² + 4x
A) 5x² + 9x
B) x² + 9x
C) x⁴ + 9x²
D) 4x² + 2x
Answer: B)
Rationale: Combine the like terms. For the x² terms: 3x² - 2x²
= x². For the x terms: 5x + 4x = 9x. This gives x² + 9x.
8. Find the value of 2³ × 3².
A) 36
B) 43
C) 72
D) 54
Answer: C)
