Writing Equations with One Variable

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 a variable in mathematics?

Back

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

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation includes an equality sign.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform operations to get the variable on one side of the equation and all other terms on the opposite side.

Front

What does it mean to 'balance' an equation?

Back

Balancing an equation means ensuring that both sides of the equation remain equal after performing operations.

Front

What is the first step in solving the equation x + 5 = 12?

Back

The first step is to subtract 5 from both sides to isolate x.

Front

If 3x = 12, what is the value of x?

Back

x = 4, because you divide both sides by 3.

Front

What is the equation for the sum of a number k and 5 being equal to 11?

Back

5 + k = 11.

Front

How do you represent 'the difference of a number x and 2 is 7' in equation form?

Back

x - 2 = 7.