Grade 8 Math: Expressions & Equations: Challenge

# Hard Level Guide Stretch thinking with multi-step problems, application questions, and deeper reasoning. # Variables and Expressions A variable represents an unknown value. An algebraic expression combines numbers, variables, and operations without an equals sign. Evaluate expressions by substituting values for variables. Exponents show repeated multiplication. # Combining Like Terms Like terms have the same variable raised to the same power. Combine 3x + 5x to get 8x. Constants combine separately. Simplifying makes expressions easier to work with before solving equations. # The Distributive Property a(b + c) = ab + ac. Distribute multiplication over addition or subtraction inside parentheses. Factoring is the reverse: pull out a common factor. Both skills appear throughout algebra. # Solving Equations An equation states two expressions are equal. Solve by isolating the variable using inverse operations. Do the same operation to both sides. Check solutions by substituting back into the original equation.