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 the first step in solving the equation 19 = 14 + t?

Back

The first step is to isolate the variable t by subtracting 14 from both sides.

Front

What is the solution to the equation 6k = 30?

Back

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

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 purpose of using variables in equations?

Back

Variables represent unknown values that we can solve for in mathematical problems.

Front

What does the term 'isolate the variable' mean?

Back

Isolating the variable means rearranging the equation so that the variable is on one side by itself.

Front

How do you solve the equation x + 8 = -3?

Back

Subtract 8 from both sides to find x = -11.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one and graphs as a straight line.

Front

What is the flat fee in Mark's phone bill problem?

Back

The flat fee is $12, which is charged every month regardless of usage.