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

Solve the equation: 3(s + 2) - s = 38

Back

s = 16

Front

Simplify the expression: 5x + 3 - 2x + 1

Back

3x + 4

Front

Solve the equation: -8x - 8 + 3(x - 2) = -3x + 2

Back

x = -8

Front

What is the first step in solving the equation 2x - 3 + 4x = 27?

Back

Combine like terms to simplify the equation to 6x - 3 = 27.

Front

Solve the equation: 2x - 3 + 4x = 27

Back

x = 5

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable allows us to find its value by getting it alone on one side of the equation.

Front

Solve the equation: 5 = 4 - x

Back

x = -1

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing us to multiply a single term by two or more terms inside a set of parentheses.