*24-25 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

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions when any value of the variable satisfies the equation, often occurring when both sides of the equation are equivalent.

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

What is the first step in solving the equation 0.4x + 1.6 = -1.6x + 53.2?

Back

The first step is to combine like terms by adding 1.6x to both sides of the equation.

Front

What is the significance of the constant term in an equation?

Back

The constant term is a fixed value that does not change and can affect the position of the graph of the equation.

Front

How do you write an equation from a word problem?

Back

To write an equation from a word problem, identify the variables, constants, and relationships described in the problem, then translate them into mathematical expressions.

Front

What is the solution to the equation 2x + 2y = 12 for x?

Back

The solution for x is x = -y + 6.

Front

What is the purpose of using literal equations?

Back

Literal equations are used to express relationships between variables and can be solved for one variable in terms of others.

Front

How do you check if your solution to an equation is correct?

Back

To check if your solution is correct, substitute the solution back into the original equation and verify if both sides are equal.

Front

What does it mean to solve for a variable?

Back

To solve for a variable means to find the value of that variable that makes the equation true.