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 in solving the equation 12k + 15 = 35 + 2k?

Back

Subtract 2k from both sides to get 10k + 15 = 35.

Front

Solve for k: 12k + 15 = 35 + 2k

Back

k = 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 30a - 24 = 5a + 26?

Back

a = 2

Front

What is the purpose of combining like terms in an equation?

Back

To simplify the equation and make it easier to solve.

Front

What is the first step to solve -11 - 3x = 44 - 2x?

Back

Get the variables on one side.

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

What is the solution to the equation 30 + 6t = 11t?

Back

t = 6

Front

What does it mean to check your solution in an equation?

Back

To substitute the solution back into the original equation to verify that both sides are equal.