Page 2: Advanced Equation Solving Techniques

This page builds upon basic concepts by introducing more complex equations involving parentheses and multiple steps. The content focuses on equations requiring distribution and combining like terms before solving.

Example: For the equation "2(x+1)=6", first distribute the 2, resulting in 2x+2=6, then subtract 2 from both sides and divide by 2 to get x=2.

Highlight: The solutions demonstrate how to handle equations with parentheses by following the order of operations (PEMDAS).

Definition: Distribution is the process of multiplying each term inside parentheses by the factor outside.

Quote: "EXPAND 2(x+1)=6" indicates the crucial first step in solving equations with parentheses.

Page 1: Solving Basic Algebraic Equations

This page introduces fundamental equation-solving techniques through multiple examples. The content demonstrates how to isolate variables using inverse operations and systematic problem-solving steps.

Definition: Inverse operations are pairs of mathematical operations that undo each other, such as addition and subtraction or multiplication and division.

Example: In the equation "20c + 3 = 38", subtract 3 from both sides, then divide by 20 to solve for x, resulting in x = 7.

Highlight: Each step of the solution process is clearly shown with the corresponding inverse operation, making it easier to follow the logical progression.

Vocabulary: Linear equations are equations where the variable appears only to the first power.