DCMAM - Multi-step EQs

Front

What is the first step in solving a linear equation?

Back

Identify and isolate the variable.

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

How do you solve the equation 12x - 15 = 6x + 9?

Back

Combine like terms and isolate x to find x = 4.

Front

What is the solution to the equation 12 + 5w = 15 + 4w?

Back

w = 3.

Front

What is the solution to the equation 0 + 10x = 60 - 2x?

Back

x = 5.

Front

How do you solve the equation 2(4x - 3) - 8 = 4 + 2x?

Back

Distribute, combine like terms, and isolate x to find x = 3.

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 does it mean to distribute in an equation?

Back

To multiply each term inside parentheses by the term outside the parentheses.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form ax + b = c.

Front

What is the general form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.