ALGEBRA Solving Equations

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 variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation or expression.

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable helps to find its value by getting it alone on one side of the equation.

Front

What is the balance method in solving equations?

Back

The balance method involves performing the same operation on both sides of the equation to maintain equality.

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 graphs as a straight line.

Front

What is the solution to the equation 2x + 3 = 11?

Back

x = 4.

Front

What does it mean to check your solution?

Back

Checking your solution means substituting the found value back into the original equation to verify that it holds true.

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 coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression, indicating how many times the variable is multiplied.