Mathematics Knowledge

Mathematics Knowledge: Complete Study Lesson Why this matters: Mathematics Knowledge (MK) is one of the four AFQT components — directly affecting your enlistment eligibility score — and algebra alone makes up approximately 40% of MK questions, making it the single highest-priority topic on this subtest. --- ## What Does the MK Subtest Cover? The Mathematics Knowledge subtest tests your ability to apply mathematical concepts you learned in middle and high school — without a calculator. The major topic areas are: | Topic Area | Approximate Emphasis | |---|---| | Algebra (equations, inequalities, factoring) | ~40% — highest priority | | Number Operations (fractions, decimals, percentages, exponents) | ~25% | | Geometry (area, perimeter, volume, angles, Pythagorean theorem) | ~25% | | Other (number properties, sequences, sets) | ~10% | Unlike Arithmetic Reasoning (AR), which wraps math inside word problems, MK questions present math concepts *directly* — "Solve for x" or "What is the area of this triangle?" Your job is to recognize the concept and execute the procedure cleanly. --- ## Key Concept 1: Algebra Algebra is your biggest point opportunity on MK. Focus on these core skills: ### Solving Linear Equations Isolate the variable by performing the same operation on both sides. Example: Solve for x: 3x + 7 = 22 - Subtract 7 from both sides: 3x = 15 - Divide both sides by 3: x = 5 ### Solving Quadratic Equations Use factoring or the FOIL method (First, Outer, Inner, Last) to expand or factor expressions. Example: Factor x² + 5x + 6 - Find two numbers that multiply to 6 and add to 5: that's 2 and 3 - Answer: (x + 2)(x + 3)…