PRACTICE FLASHCARD for Flashcard #5 - 2nd Qtr - ALG

Front

If a system of equations has no solution, what does the graph look like?

Back

The graph consists of parallel lines.

Front

What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies if Azel sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56, and Brooke sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60?

Back

Sugar Cookies $4, Oatmeal Cookies $8

Front

What is the solution to the system of equations: x - 4y = 16 and 5x + 4y = 8?

Back

(4,-3)

Front

Which equations could be used to determine the cost of each cup of coffee and each doughnut if Stephen bought 10 cups of coffee and 5 doughnuts for $16.50, and Karessa bought 5 cups of coffee and 10 doughnuts for $14.25?

Back

10x + 5y = 16.50, 5x + 10y = 14.25

Front

What is the slope of the equation -2(x + 3y) = 18?

Back

-1/3

Front

What does it mean if two lines are parallel in a system of equations?

Back

It means that the system has no solution.

Front

How do you find the price of individual items from a system of equations?

Back

You can solve the system using substitution or elimination methods.

Front

What is the definition of a system of equations?

Back

A set of two or more equations with the same variables.

Front

What is the elimination method in solving systems of equations?

Back

A method where you add or subtract equations to eliminate one variable.

Front

What is the substitution method in solving systems of equations?

Back

A method where you solve one equation for one variable and substitute it into the other equation.