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 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 principle of balancing equations?

Back

The principle of balancing equations states that whatever you do to one side of the equation, you must do to the other side to maintain equality.

Front

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

Back

An equation has infinitely many solutions if 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 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 solution to the equation 6k = 30?

Back

k = 5.

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 -11 + 3(b + 5) = 7?

Back

b = 1.

Front

What is the solution to the equation 3m - 4 = 5m + 10?

Back

m = -7.