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 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

What is the second step in solving the equation -3x + 5 = 20?

Back

Divide both sides by -3.

Front

What is the solution to the equation 3x - 7 = 32?

Back

x = 13.

Front

What operation would you perform first to solve the equation 5b - 6 = 24?

Back

Add 6 to both sides.

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable allows you to find its value by getting it alone on one side of the equation.

Front

What does it mean to 'balance' an equation?

Back

Balancing an equation means performing the same operation on both sides to maintain equality.

Front

What is the result of adding the same number to both sides of an equation?

Back

The equation remains balanced and true.

Front

What is the result of multiplying both sides of an equation by zero?

Back

Both sides will equal zero, which can lead to loss of information about the original equation.