: Algebra, Grade 7 by A.G. Mordkovich (Part 1 for theory, Part 2 for problems).

belongs to or drawing a geometric figure based on given vertices.

: Setting up an expression for a real-world scenario (e.g., "The distance between two cities is . A car travels at speed ✅ Example Problem & Solution To give you a clear idea of the logic required, Problem : Simplify the expression and find its value when 1. Expand the Brackets Apply the distributive property 5x−15−4x−25 x minus 15 minus 4 x minus 2 2. Combine Like Terms Group the terms and the constants:

: Translating verbal problems into algebraic equations or expressions.

: Determining which quadrant a point like

(5x−4x)+(-15−2)=x−17open paren 5 x minus 4 x close paren plus open paren negative 15 minus 2 close paren equals x minus 17 Plug in -4−17=-21negative 4 minus 17 equals negative 21 Final Result : The simplified form is , and the value is -21negative 21 📚 Study Resources

: Finding the value of a numerical expression (e.g., Simplification : Expanding brackets and simplifying (e.g., Variable Substitution : Evaluating an expression like

: Plotting points and identifying coordinates in a Cartesian system. 📝 Typical Structure (Variant 1 Examples)