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 4x + 3 = -5?

Back

Subtract 3 from both sides to isolate the term with the variable.

Front

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

Back

x = -2.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation to get the variable by itself.

Front

What is the solution to the equation 33 = 4a - 7?

Back

a = 10.

Front

What is the combined like terms in the equation 2x - 3 + 4x = 27?

Back

The like terms are 2x and 4x, which combine to 6x.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

x = 5.

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac.

Front

How do you apply the distributive property in the equation 7(2x - 4) = 42?

Back

Multiply 7 by both 2x and -4.