Middle School Mathematics · Self-Study Guide

Word Problems
Practice Set

Pre-Algebra & Geometry — 20 essential questions. Choose an answer to get instant feedback and explanation.

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Pre-Algebra
Q 1–10
Variables, expressions, ratios, percentages, and number operations
Quick
Keys
PEMDAS → Parentheses · Exponents · Multiply · Divide · Add · Subtract
TRANSLATE → "more than"=+  |  "less than"=−  |  "times"=×  |  "quotient"=÷
PERCENT → IS ÷ OF × 100  |  PROPORTION → a/b = c/d → cross-multiply
RATE → find unit rate first, then multiply  |  EQUATION → balance both sides
Geometry
Q 11–20
Perimeter, area, volume, angles, Pythagorean theorem, and coordinate geometry
Quick
Keys
PERIMETER → add all outer sides  |  AREA → surface inside shape
RECTANGLE A=l×w  |  TRIANGLE A=½×b×h  |  CIRCLE A=πr²
PYTHAGOREAN → a²+b²=c² (right triangle; c=hypotenuse = longest side)
SUPPLEMENTARY=180° (Straight)  |  COMPLEMENTARY=90° (Corner)
SIMILAR → multiply ALL sides by scale factor  |  VOLUME → l×w×h
Score
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