Multistep Equations with Variables on both sides

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve for the variable. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

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

Back

Having variables on both sides of an equation means that the variable appears on both the left and right sides of the equation, requiring manipulation to isolate the variable.

Front

How do you isolate a variable in a multistep equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation, such as adding, subtracting, multiplying, or dividing, until the variable is alone on one side.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a set of parentheses.

Front

Solve for x: 20 - 4x = 6x

Back

x = 2

Front

Solve for x: 4(1 - x) + 3x = -2x - 2

Back

x = -6

Front

Solve for x: -7x - 36 = 20 - 3x

Back

x = -14

Front

Solve for v: -15v - 40 = 23 - 8v

Back

v = -9

Front

Solve for a: 6a + 3 - 4a = 9

Back

a = 3

Front

What is combining like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power to simplify an expression.