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

Front

What is a literal equation?

Back

A literal equation is an equation that contains two or more variables, and it is solved for one variable in terms of the others.

Front

How do you isolate a variable in a literal equation?

Back

To isolate a variable, you can use inverse operations to move other terms to the opposite side of the equation.

Front

What is the first step in solving a multi-step equation?

Back

The first step is to simplify both sides of the equation, if possible, by combining like terms and eliminating parentheses.

Front

What does it mean to solve for a variable?

Back

To solve for a variable means to find its value in terms of other variables or constants.

Front

How do you solve the equation 0.4x + 1.6 = -1.6x + 53.2?

Back

Combine like terms and isolate x: 0.4x + 1.6 + 1.6x = 53.2; then solve for x to get x = 25.8.

Front

What is the formula for calculating total cost in a scenario involving fixed and variable costs?

Back

Total Cost = Fixed Cost + (Variable Cost per unit * Number of units).

Front

In the equation 0.50x + 20 = 35, what does x represent?

Back

x represents the number of ride tickets Penelope buys at the carnival.

Front

What is the process for solving a system of equations?

Back

You can use substitution, elimination, or graphing to find the values of the variables that satisfy both equations.

Front

How do you express y in terms of x in the equation 2x + 2y = 12?

Back

To express y in terms of x, rearrange the equation to get y = -x + 6.

Front

What is the significance of the solution to a literal equation?

Back

The solution provides a relationship between the variables, allowing you to calculate one variable if the others are known.