5A Solving Equations IP

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one, and can be written in the form ax + b = 0.

Front

What is the principle of equality?

Back

The principle of equality states that if two expressions are equal, then adding or subtracting the same value from both sides will maintain the equality.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a parenthesis.

Front

What is a variable?

Back

A variable is a symbol, often represented by letters, that stands for an unknown value in an equation.

Front

What is a constant?

Back

A constant is a fixed value that does not change, often represented by numbers in equations.

Front

What is the solution set of an equation?

Back

The solution set of an equation is the set of all values that satisfy the equation.

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the second degree, typically in the form ax² + bx + c = 0.

Front

What is factoring in relation to solving equations?

Back

Factoring is the process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.