**University of Arizona Math Placement Test (ALEKS PPL) – Complete Study Guide + Practice Questions, Answers & Solutions (Pre-Algebra to Precalculus Level)**

University of Arizona Math
Placement Test (ALEKS PPL) –
Full Study Guide + Practice
Questions & Solutions

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,📘 1. Real Numbers & Basic Algebra
(Fractions, decimals, percentages, BODMAS, absolute value, ratios, simplifying expressions)

Each question includes working (step-by-step solution) + final answer.




🔢 1. Fractions
Q1. Simplify

1824\frac{18}{24}2418

Working:
Divide top and bottom by 6
18 ÷ 6 = 3
24 ÷ 6 = 4

Answer:

34\frac{3}{4}43


Q2. Add

25+110\frac{2}{5} + \frac{1}{10}52+101

Working:
LCM = 10

410+110=510\frac{4}{10} + \frac{1}{10} = \frac{5}{10}104+101=105

Simplify → 1/2

Answer:

12\frac{1}{2}21


Q3. Multiply

,34×89\frac{3}{4} \times \frac{8}{9}43×98

Working:

2436=23\frac{24}{36} = \frac{2}{3}3624=32

Answer:

23\frac{2}{3}32


🔢 2. Decimals
Q4. Convert to fraction

0.75

Working:
75/100 = 3/4

Answer:

34\frac{3}{4}43


Q5. Multiply decimals

0.6 × 0.4

Working:
6 × 4 = 24
Decimal places = 2 → 0.24

Answer:
0.24




🔢 3. Percentages
Q6. Find 25% of 80

Working:
25% = 1/4
80 ÷ 4 = 20

Answer:
20

, Q7. Convert to percentage

0.18

Working:
0.18 × 100 = 18%

Answer:
18%



Q8. Percentage increase

Increase 50 by 10%

Working:
10% of 50 = 5
50 + 5 = 55

Answer:
55




🔢 4. BODMAS / Order of Operations
Q9.

3+4×23 + 4 \times 23+4×2

Working:
Multiply first → 4 × 2 = 8
3 + 8 = 11

Answer:
11



Q10.

(6+2)2(6 + 2)^2(6+2)2

Working:
8² = 64