Equations with variable on both sides

Front

What is an equation with variables on both sides?

Back

An equation where the variable appears on both sides of the equal sign, requiring manipulation to isolate the variable.

Front

How do you solve the equation 9 + 2a = -3 - 4a?

Back

Combine like terms: 9 + 2a + 4a = -3; 6a = -12; a = -2.

Front

What is the first step in solving 7x - 4 = 3 + 8x?

Back

Isolate the variable by moving all terms involving x to one side: 7x - 8x = 3 + 4.

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 equal sign.

Front

Solve for k: 4k + 39 = 7k + 6.

Back

k = 11.

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

x = -6.

Front

What is the process of combining like terms?

Back

Adding or subtracting terms that have the same variable raised to the same power.

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 f - 4 = 6f + 26?

Back

f = -6.

Front

What does it mean to have a variable on both sides of an equation?

Back

It indicates that the equation can be solved by rearranging terms to isolate the variable.