Expressions and Equations Review

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (like +, -, *, /) that represents a value.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing an equal sign (=).

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, combining like terms and eliminating unnecessary parts.

Front

What is a variable?

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions and equations.

Front

What does it mean to factor an expression?

Back

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

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

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate it on one side of the equation using inverse operations.

Front

What is a coefficient?

Back

A coefficient is a numerical factor that multiplies a variable in an expression, such as the 3 in 3x.

Front

What are like terms?

Back

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

Front

What is the first step in solving the equation 3n - 7 = 30?

Back

Add 7 to both sides of the equation.