CUA 4 Test Corrections

Front

What is the cost of one hot dog and one soda at the concession stand?

Back

A hot dog costs $1.50 and a soda costs $0.50.

Front

If the total revenue from selling hot dogs and sodas is $78.50, what equation can represent this situation?

Back

1.50h + 0.50s = 78.50, where h is the number of hot dogs and s is the number of sodas.

Front

What is the total number of hot dogs and sodas sold if the total is 87?

Back

h + s = 87, where h is the number of hot dogs and s is the number of sodas.

Front

How do you solve a system of linear equations?

Back

You can use substitution, elimination, or graphing methods to find the solution.

Front

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

Back

It means the system has infinite solutions.

Front

What is the value of y in the system 6x + 10y = -32 and 6x + 9y = -27?

Back

y = -5.

Front

What is the x-coordinate of the solution to the system 2x + 3y = 15 and -x + 3y = 3?

Back

The x-coordinate is 4.

Front

What is the solution to the system of equations represented by (4, -1)?

Back

The solution is x = 4 and y = -1.

Front

What is the significance of the coefficients in a linear equation?

Back

Coefficients represent the rate of change of the dependent variable with respect to the independent variable.

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel, the system has no solution.