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, often involving 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, 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, aiming to get the variable alone on one side.

Front

What is the first step in solving the equation 10w - 6w = 23 + 5?

Back

Combine like terms on the left side: 10w - 6w becomes 4w.

Front

What is the solution to the equation 4w = 28?

Back

w = 7.

Front

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

Back

First, combine like terms by adding 4a to both sides and subtracting 9 from both sides.

Front

What is the solution to the equation 2a + 4a = -3 - 9?

Back

a = -2.

Front

What does it mean if an equation has 'no solution'?

Back

An equation has 'no solution' if there are no values that can satisfy the equation, often resulting in a contradiction.

Front

What is the solution to the equation 5(2x - 1) = -5 + 10x?

Back

All real numbers, as the equation simplifies to a true statement.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.