PA: 19.variables on both sides

Front

What is a variable in an equation?

Back

A symbol used to represent an unknown value in mathematical expressions or equations.

Front

What does it mean to solve an equation?

Back

Finding the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation 12x - 15 = 3(2x + 3)?

Back

Distribute the 3 on the right side to get 12x - 15 = 6x + 9.

Front

How do you isolate the variable x in the equation 3x - 7 = -5x + 17?

Back

Add 5x to both sides to combine like terms, resulting in 8x - 7 = 17.

Front

What is the solution to the equation 8w - 13 + w = 3w + 5?

Back

w = 3.

Front

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

Back

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

Front

What is the solution to the equation 7x - 11 = 5x + 25?

Back

x = 18.

Front

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

Back

It means that the variable appears in expressions on both the left and right sides of the equation.

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 7w + 5 = 3w - 15?

Back

w = -5.