Review #1 Equations and Inequalities

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more 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 is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find the range of values for the variable that makes the inequality true.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations on both sides of the equation until the variable is alone on one side.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

What are like terms?

Back

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

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting coefficients of like terms to simplify an expression.