Solving Variables in Equations

Front

What is a variable in an equation?

Back

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

Front

What does it mean to solve for a variable?

Back

To solve for a variable means to find the value of that variable that makes the equation true.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions.

Front

What is the order of operations in mathematics?

Back

The order of operations is the rules that dictate the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right) - often abbreviated as PEMDAS.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform operations to both sides of the equation to get the variable alone on one side.

Front

What is the solution to the equation 6 = 36 ÷ (h - 3)?

Back

h = 9.

Front

What is the solution to the equation 15 = (2k) - (6 ÷ 2)?

Back

k = 9.

Front

What is the solution to the equation 8 = m ÷ (2 x 5)?

Back

m = 80.

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides have the same value.

Front

What is a mathematical expression?

Back

A mathematical expression is a combination of numbers, variables, and operators (like +, -, ×, ÷) that represents a value.