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 solution in the context of equations?

Back

A solution is a value or set of values that satisfy the equation when substituted for the variable.

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 does 'no solution' mean in an equation?

Back

'No solution' means that there are no values for the variable that can satisfy the equation.

Front

What does 'infinite solutions' mean in an equation?

Back

'Infinite solutions' means that there are countless values for the variable that satisfy the equation, often occurring in identities.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the first step in solving the equation 33 = 4a - 7?

Back

The first step is to add 7 to both sides to eliminate the constant on the right side.

Front

What is the solution to the equation r - 11 = 5?

Back

The solution is r = 16.

Front

How do you check if your solution is correct?

Back

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