Unit Test — Unit test Answers

Vlad has 9 coins, all quarters and dimes, worth a total of $1.80. This is shown by the system of linear equations, x + y = 9 and 0.25x + 0.1y = 1.8, on the graph.

Gina started hiking down a mountain trail at the same time that Melissa started hiking up the trail.Melissa's elevation is represented by the equation h = 2 + t, and Gina's elevation is represented by h = 9.5 – 1.5t, where t represents the number of hours they have been hiking.

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?

Heather writes the equations below to represent two lines drawn on the coordinate plane.–6x + 18y = 0 4x – 12y = 20

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

A sports apparel supplier offers teams the option of purchasing extra apparel for players. A volleyball team purchases 15 jackets and 12 pairs of sweatpants for $348. A basketball team purchases 8 jackets and 8 pairs of sweatpants for $200. Let x represent the price of a jacket and let y represent the price of a pair of sweatpants. Which system of equations can be used to find the price of each item?

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?

A system of equations has infinitely many solutions. If 2y – 4x = 6 is one of the equations, which could be the other equation?

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?

What is the x-value of the solution to the system of equations?5x + 4y = 82x − 3y = 17

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

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

y = 5x + 23x = –y + 10

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.