equations with variables on both sides

Front

What is an equation with variables on both sides?

Back

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

Front

What is the first step to solve the equation 1 + 4n - 6n = 1 - 8n?

Back

Combine the like terms 4n + -6n.

Front

Back

x = -8.

Front

What operation did Jacob perform to go from Step 1 to Step 2 in the equation 5x + 9 = 2x - 3?

Back

Subtracted 2x from both sides of the equation.

Front

Identify the first mistake in the equation 29x + 3(5 - 35x) = -119 - 9x.

Back

Dividing by -50.

Front

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

Back

It means to simplify the equation by adding or subtracting terms that have the same variable and exponent.

Front

What is the purpose of isolating the variable in an equation?

Back

To find the value of the variable that makes the equation true.

Front

What is the distributive property?

Back

A property that states a(b + c) = ab + ac, used to eliminate parentheses in equations.

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 result of solving the equation 3x + 9 = 0?

Back

x = -3.