Expressions and Equations

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) 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

How do you solve for x in the equation 2x + 3 = 7?

Back

Subtract 3 from both sides to get 2x = 4, then divide both sides by 2 to find x = 2.

Front

What does it mean to simplify an expression?

Back

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

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 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 combine like terms?

Back

Combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

Front

What is the first step in solving the equation 11 - 3x = 44?

Back

Subtract 11 from both sides to isolate the term with x.

Front

What is the solution to the equation 3x + 2(4x - 4) = 3?

Back

x = 1.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate an equation so that the variable is on one side and all other terms are on the opposite side.