Solving Systems of Linear Inequalities — Unit test Answers

Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown.Shop Shawn used: y=10+3.5xShop Dorian used: y=6x

y = 5x + 23x = –y + 10

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

On a coordinate plane, 2 dashed straight lines are shown. The first line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything to the right of the line is shaded. The second line has a negative slope and goes through (negative 2, 0) and (2, negative 4). Everything to the right of the line is shaded.

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?

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?

The solution to the system of equations shown is (2, 0).3x − 2y = 6 x + 4y = 2When the first equation is multiplied by 2, the sum of the two equations is equivalent to 7x = 14.

What is the solution to the system of equations?y = 2x – 3.5x – 2y = –14

Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown. Shop Shawn used: y = 10 + 3.5xShop Dorian used: y = 6x If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental? $

2x + 4y = 12y = x – 3

Which statements are true about the graph of the system of linear inequalities? Select two options.y > 3x – 4y 3x − 4 has shading above a dashed line.The graph of y < x + 1 has shading below a dashed line.The graphs of the inequalities will intersect.There are no solutions to the system.The graphs of the two inequalities intersect the y-axis at (0, 1) and (0, 4).

The table can be used to determine the solution to the system of equations, 2y − x = 8, and y − 2x = −5.Which solution can be used to fill in both blanks in the table?

Which is true about the solution to the system of inequalities shown?y > 3x + 1y < 3x – 3

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?