Solving Multi-Step Equations

Front

What is a multi-step equation?

Back

A multi-step 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 is the first step in solving the equation 2z - 1 = -9 + z?

Back

The first step is to get all terms involving z on one side and constant terms on the other side. This can be done by subtracting z from both sides.

Front

Solve for z: 2z - 1 = -9 + z

Back

z = -8

Front

What does it mean to combine like terms in an equation?

Back

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

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 k: 38 + 7k = 8(k + 4)

Back

k = 6

Front

What is the solution to the equation 4x - 9x + 3 = -32?

Back

x = 7

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

Solve for x: 6x + 3(-x + 11) = 3

Back

x = -10

Front

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

Back

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