Equations with variables 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 2x = x + 3?

Back

Subtract x from both sides to get x = 3.

Front

What is the solution to the equation -3(1+n) - 2n = -6(n - 2)?

Back

The solution is n = 15.

Front

How do you simplify the equation -6(1 - 6r) = -2(r + 3)?

Back

Distribute and combine like terms to find r = 0.

Front

What is the first step in solving the equation 5 - 2t = 3t?

Back

Add 2t to both sides to get 5 = 5t.

Front

What is the solution to the equation x/8 = -2?

Back

Multiply both sides by 8 to find x = -16.

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.

Front

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

Back

To verify that the solution satisfies the original equation.

Front

What is a linear equation?

Back

An equation that graphs to a straight line, typically in the form y = mx + b.

Front

What is the distributive property?

Back

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