Equations with variable on both sides

Front

What is an equation with variables on both sides?

Back

An equation that has variables on both the left and right sides, requiring manipulation to isolate the variable.

Front

How do you solve the equation 4k + 39 = 7k + 6?

Back

k = 11

Front

What is the first step in solving 14p - 8 = 22 + 20p?

Back

Combine like terms and isolate the variable.

Front

What is the solution to the equation 9 + 2a = -3 - 4a?

Back

a = -2

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is alone on one side of the equation.

Front

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

Back

x = -7

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 8b + 10 = 3b + 25?

Back

b = 3

Front

What is a like term in an equation?

Back

Terms that have the same variable raised to the same power.

Front

What is the purpose of simplifying an equation?

Back

To make it easier to solve by reducing it to its simplest form.