Exam-Style Practice

Pre-Algebra
Mastery Quiz

20 multiple-choice problems covering every core concept. Study the concept cards, then tackle the exam.

20 Questions
30 Min Timer
Instant Explanations
U·01
Order of Operations (PEMDAS)
🔑 Key Rule
Evaluate in this exact order: P → E → M/D → A/S Parentheses · Exponents · Multiply & Divide (L→R) · Add & Subtract (L→R)
📝 Example
3 + 4 × 2 = 3 + 8 = 11
(× before +)
U·02
Integer Operations
🔑 Key Rule
Same signs → Add, keep sign.   Different signs → Subtract, keep sign of larger |value|. −5 + (−3) = −8  |  −5 + 3 = −2
📝 Example
(−4) × (−3) = 12   (neg × neg = pos)
U·03
Fractions & Decimals
🔑 Key Rule
To add fractions: find LCD, convert, then add numerators. a/b + c/d = (ad + bc) / bd
📝 Example
1/2 + 1/3 = 3/6 + 2/6 = 5/6
U·04
Exponents & Square Roots
🔑 Key Rule
aⁿ = a multiplied by itself n times. √a = number that squares to a. 2³ = 8  |  √49 = 7
📝 Example
3² + √16 = 9 + 4 = 13
U·05
Solving Equations (1-step & 2-step)
🔑 Key Rule
Isolate the variable by performing inverse operations on both sides. 2x + 3 = 11 → 2x = 8 → x = 4
📝 Example
x/3 = 5 → multiply both sides by 3 → x = 15
U·06
Ratio, Proportion & Percent
🔑 Key Rule
Proportion: a/b = c/d → ad = bc (cross multiply). % of n = (percent / 100) × n
📝 Example
20% of 150 = 0.20 × 150 = 30
U·07
Algebraic Expressions
🔑 Key Rule
Distributive Property: a(b + c) = ab + ac
Combine Like Terms: add/subtract same variable terms. 3(x + 4) = 3x + 12  |  5x + 3x = 8x
📝 Example
5x + 3x − 2x = 6x
U·08
Inequalities
🔑 Key Rule
Solve like an equation, but flip the inequality sign when multiplying or dividing by a negative number. 3x < 12 → x < 4
📝 Example
−2x > 8 → divide by −2, flip sign → x < −4
U·09
Coordinate Plane & Slope
🔑 Key Rule
Quadrants: I(+,+) II(−,+) III(−,−) IV(+,−) starting top-right, going counter-clockwise. slope m = (y₂ − y₁) / (x₂ − x₁)
📝 Example
Points (0,0) & (2,4): m = (4−0)/(2−0) = 2
U·10
Geometry Basics & Scientific Notation
🔑 Key Rule
Area of rectangle = l × w  |  Perimeter of square = 4s
Scientific notation: a × 10ⁿ where 1 ≤ a < 10. 3,400 = 3.4 × 10³
📝 Example
Rectangle 7 × 5: Area = 35, Perimeter = 24
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