Solving Equations

Front

What is an equation?

Back

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

Front

What is the first step in solving a linear equation?

Back

The first step is to isolate the variable on one side of the equation.

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that there are countless values for the variable that satisfy the equation, often occurring when both sides of the equation are equivalent.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 3s + 15 = 3(s + 5)?

Back

Infinitely Many Solutions.

Front

What is the solution to the equation f + 12 = 3f - 20?

Back

f = 16.

Front

What is the solution to the equation 2y + 7 = 11?

Back

y = 2.

Front

What is the solution to the equation h/4 + 9 = 11?

Back

h = 8.