Unit Test Answers

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

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

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.

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

Which statements about the system are true? Select two options.y = x – 43y – x = –7The system has one solution. The system consists of parallel lines.Both lines have the same slope. Both lines have the same y–intercept.The equations represent the same line.

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.

Irina has 10 coins, all nickels and dimes, worth a total of $0.70. This is shown by the system of linear equations, x + y = 10 and 0.05x + 0.1y = 0.7, on the graph.

2x + 4y = 12y = x – 3

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?

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?

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 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?