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 the first step in solving the equation 2(2x + 3) = -6(x + 9)?

Back

Distribute both sides: 4x + 6 = -6x - 54.

Front

How do you isolate a variable in an equation?

Back

You isolate a variable by performing inverse operations to both sides of the equation until the variable is alone.

Front

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

Back

x = -5.

Front

What is the first step to solve the equation -11 - 3x = 44?

Back

Add 11 to both sides to get -3x = 55.

Front

What does it mean to add or subtract the same number from both sides of an equation?

Back

It maintains the equality of the equation, allowing you to simplify or isolate variables.

Front

What is the solution to the equation -4x = 24?

Back

x = -6.

Front

True or False: You can multiply or divide both sides of an equation by the same non-zero number without changing the equality.

Back

True.

Front

What is the purpose of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation.