Solving Equations

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 the first step in solving the equation 36 = 9 + m?

Back

Subtract 9 from both sides to isolate m.

Front

How do you isolate a variable in an equation?

Back

You isolate a variable by performing inverse operations to both sides of the equation.

Front

What is the solution to the equation 5x = 30?

Back

x = 6, found by dividing both sides by 5.

Front

What operation would you use to solve the equation a - 5 = -9?

Back

Add 5 to both sides to isolate a.

Front

What is the solution to the equation 25 + k = 18?

Back

k = -7, found by subtracting 25 from both sides.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo operations and isolate the variable.

Front

What does it mean if an equation has no solution?

Back

It means there is no value for the variable that can make the equation true.

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.