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 2(4x-3) - 8 = 4 + 2x?

Back

Distribute the 2 on the left side: 8x - 6 - 8 = 4 + 2x.

Front

What is the solution to the equation 2(4x-3) - 8 = 4 + 2x?

Back

x = 3.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, 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 8x - 8 = -4x + 16?

Back

x = 2.

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

Back

x = 3.

Front

What is the solution to the equation 7x - 4 = 3 + 8x?

Back

x = -7.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.