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

How do you isolate a variable in an equation?

Back

By performing inverse operations on both sides of the equation to get the variable alone.

Front

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

Back

Combine like terms by adding 2t to both sides, resulting in 5 = 5t.

Front

What does it mean to combine like terms?

Back

To simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Solve for t: 5 - 2t = 3t.

Back

t = 1.

Front

What is the solution to the equation 2(x + 6) + 3 = 9 + 5x?

Back

x = 2.

Front

How do you distribute in an equation?

Back

Multiply each term inside the parentheses by the term outside the parentheses.

Front

What is the solution to the equation 2a - 9 = 5a?

Back

a = -3.

Front

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

Back

To verify that the solution satisfies the original equation.

Front

Solve for n: -3(1+n) - 2n = -6(n - 2).

Back

n = 15.