Solving Multistep Equations

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

What is the first step in solving the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

Solve the equation: 5x - 4 + 2x = 3

Back

x = 1

Front

Solve the equation: 2m + 6m = 32

Back

m = 4

Front

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

Back

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

Front

What is the solution to the equation 4 = 2(x + 3)?

Back

x = -1

Front

How do you combine like terms in an equation?

Back

You add or subtract the coefficients of the same variable.

Front

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

Back

To verify that the solution satisfies the original equation.

Front

Solve the equation: 3(x - 2) + 4 = 10

Back

x = 6

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 two or more terms inside a set of parentheses.