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 12x - 15 = 3(2x + 3)?

Back

Distribute the 3 on the right side: 12x - 15 = 6x + 9.

Front

What is the solution to the equation 12x - 15 = 3(2x + 3)?

Back

x = 4.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation 4(1 - x) + 3x = -2(x + 1)?

Back

x = -6.

Front

What is the process of combining like terms in an equation?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

What is the solution to the equation 10x + 9 = 4x - 9?

Back

x = -3.

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides have the same value after performing operations.

Front

What is the solution to the equation 2x = x + 3?

Back

x = 3.