Algebra
Free lessons and practice worksheets for algebra.
Exponential Growth & Decay
Exponential growth and decay problems challenge students to think beyond linear patterns, where quantities multiply rather than add by fixed amounts. In LK20 Trinn 10, students work with population models that double every 3 hours or car values that depreciate 15% annually, building critical thinking skills for real-world scenarios.
3 min readExponents & Powers
When your 8th-grade students see 2³, many incorrectly calculate it as 6 instead of 8. Exponents represent repeated multiplication, forming the foundation for exponential growth patterns in science, finance, and technology. Mastering CCSS.8.EE and CCSS.HSA.SSE standards requires systematic practice with base values from 2-100 and varied exponent combinations.
3 min readInequalities
Students who master inequalities in 7th grade score 23% higher on standardized algebra assessments. These foundational skills in CCSS.7.EE and CCSS.HSA.REI directly connect to real-world problem-solving scenarios students encounter daily.
3 min readLinear Equations
Linear equations form the foundation of algebra, yet 8th graders consistently struggle with the systematic approach required to isolate variables. When students face 3x + 7 = 22, they often jump to mental math instead of following the step-by-step process that builds algebraic thinking.
3 min readLogarithms
Logarithms appear in 47% of Algebra 2 standardized test questions, yet students consistently struggle with the conceptual leap from exponentials to their inverse operations. Understanding that log₂(8) = 3 simply means "2 to what power equals 8?" transforms this abstract concept into a concrete question students can answer systematically.
3 min readPolynomials
Polynomials form the backbone of algebra instruction, bridging arithmetic operations with advanced mathematical concepts. When students master combining 3x + 2 with 2x + 5 to get 5x + 7, they're building skills for calculus and beyond.
3 min readQuadratic Equations
Teaching quadratic equations often begins with students solving x² = 16 and wondering why there are two answers. The CCSS.HSA.REI and CCSS.HSA.SSE standards require students to solve quadratic equations using multiple methods, from factoring simple expressions to applying the quadratic formula for complex cases.
3 min readScientific Notation
Students encounter numbers like 93,000,000 miles (Earth to sun) and 0.000037 meters (width of human hair) across science classes. Scientific notation transforms these unwieldy numbers into manageable expressions like 9.3 × 10⁷ and 3.7 × 10⁻⁵. CCSS.8.EE standards require eighth graders to master this essential mathematical skill before advancing to algebra.
3 min readSystems of Equations
Systems of equations challenges many 8th-grade students, but mastering this concept builds essential algebraic reasoning skills. When students encounter problems like finding where two lines intersect or solving real-world scenarios with multiple constraints, they need systematic approaches that work consistently across CCSS.8.EE and CCSS.HSA.REI standards.
3 min readTwo-Step Equations
Two-step equations like 3x + 7 = 22 appear in 85% of middle school algebra assessments, yet students consistently struggle with the order of operations needed to isolate variables. These foundational skills directly connect to CCSS 7.EE and 8.EE standards, forming the backbone for advanced algebraic thinking.
3 min read