Solving Multistep/Variables on both sides Equations

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 an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation 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, allowing you to multiply a single term by each term inside a parenthesis.

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

Solve for x: 5 = 4 - x

Back

x = -1

Front

What is the first step in solving the equation 2x + 3(5x - 7) = 47?

Back

First, apply the distributive property: 2x + 15x - 21 = 47.

Front

Solve for x: 2x + 3(5x - 7) = 47

Back

x = 4

Front

What is the solution to the equation 5y + 34 = -2(-7y + 1)?

Back

y = 4

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.