Modeling with Two-Variable Linear Inequalities — Unit test Answers

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.

What is the y-value of the solution to the system of equations?3x + 5y = 17x + 4y = −13

What is the y-value in the solution to this system of linear equations?4x + 5y = −12-2x + 3y = −16

Which is the best approximation for the solution of the system of equations?y = x + 1y = 3x – 2

A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird feeder filled is $3.00 per week. The expected cost the keep the cylindrical bird feeder filled is $2.00 per week. The equation below models the break-even point.18 + 3x = 24 + 2x What does x represent?

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (2, negative 1). Everything to the left of the line is shaded.

Before any dinner service, the manager confirms when the number of reservations at a restaurant is subtracted from twice the number of loaves of bread on hand must be greater than 5. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?

Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for $3, and each cheeseburger sells for $3.50. Which system of inequalities represents the number of hamburgers, h, and the number of cheeseburgers, c, he must sell to have sales of at least $80?

The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28.Which solution can be used to fill in both blanks in the table?

Martin has a combination of 33 quarters and dimes worth a total of $6. Which system of linear equations can be used to find the number of quarters, q, and the number of dimes, d, Martin has?