Solve for the unknown
Algebra uses letters to represent unknown values and rules to solve for them. It is the gateway to all higher mathematics — from geometry to calculus. The core skill is manipulating equations to isolate the unknown.
Equations of the form ax + b = c. Solve by isolating x: subtract b, then divide by a. 3x + 5 = 20 → 3x = 15 → x = 5.
Combine like terms and use the distributive property. 3(x + 2) + 2x = 3x + 6 + 2x = 5x + 6.
Two equations with two unknowns. Solve by substitution or elimination. x + y = 10, x − y = 4 → 2x = 14 → x = 7, y = 3.
Expressing a quadratic as a product. x² + 5x + 6 = (x + 2)(x + 3). Look for two numbers that multiply to 6 and add to 5.
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