Unit 3 Ch. 3 8: Solving Equations

Front

What is an equation?

Back

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

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 are like terms in an expression?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

What is the solution set of an equation?

Back

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

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that can make the equation true.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions if any value of the variable satisfies the equation.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable.

Front

What is the first step in solving an equation?

Back

The first step is to simplify both sides of the equation, if possible, by combining like terms.

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 each term inside a parenthesis.

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What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one.