SOL Review Flashcard 2: Problems

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

Define direct variation.

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other, expressed as y = kx, where k is a non-zero constant.

Front

What does it mean if a graph represents direct variation?

Back

If a graph represents direct variation, it will pass through the origin (0,0) and will be a straight line.

Front

How do you set up a system of equations for a word problem?

Back

Identify the variables, translate the problem into equations based on the relationships described, and ensure the equations represent the same scenario.

Front

What is the formula for calculating total revenue from ticket sales?

Back

Total Revenue = (Price per ticket for students * Number of student tickets) + (Price per ticket for adults * Number of adult tickets).

Front

If S represents student tickets and A represents adult tickets, what does the equation S + A = 700 represent?

Back

This equation represents the total number of tickets sold, where S is the number of student tickets and A is the number of adult tickets.

Front

What does the equation 4S + 6A = 1940 represent in the context of ticket sales?

Back

This equation represents the total revenue generated from ticket sales, where 4 is the price of student tickets and 6 is the price of adult tickets.

Front

What is the significance of the slope in a direct variation graph?

Back

The slope in a direct variation graph represents the constant of variation (k), indicating how much y changes for a unit change in x.

Front

How can you determine if a graph is a direct variation?

Back

A graph is a direct variation if it is a straight line that passes through the origin (0,0).

Front

What is the first step in solving a system of equations?

Back

The first step is to express both equations in a standard form, if necessary, and then decide on a method to solve them (substitution, elimination, etc.).