*24-25 Retake- Solving Multi-step Equations/Literal/Applications

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 operations such as addition, subtraction, multiplication, and division.

Front

How do you determine if an equation has one, no, or infinite solutions?

Back

To determine the number of solutions, simplify the equation. If you end up with a true statement (e.g., 0 = 0), it has infinite solutions. If you get a false statement (e.g., 0 = 5), it has no solutions. If you find a specific value for the variable, it has one solution.

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

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to simplify an equation?

Back

Simplifying an equation means to combine like terms and reduce the equation to its simplest form.

Front

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

Back

The first step is to apply the distributive property to the right side of the equation.

Front

What is the solution to the equation 3(2e + 5) - (-8 + 8e) = 1?

Back

The solution is e = 11.

Front

How do you solve for y in the equation 5x - y = 16?

Back

To solve for y, rearrange the equation to y = 5x - 16.

Front

What is the solution to the equation 3 ( x - 2 ) - 8 = 6 ( x - 2 ) - 20?

Back

The solution is x = 6.

Front

What is the process for solving the equation 3x + 2(4x - 4) = 3?

Back

First, apply the distributive property, then combine like terms and isolate x.