Writing and Solving Equations in Two Variables Answers

What is the value of a in the equation , when ?

Which shows the correct solution of the equation, when ?

What is the value of m in the equation , when ?

Chin canned a number of quart jars and a number of pint jars of tomatoes from his garden. A pint is 16 ounces and a quart is 32 ounces. The number of pints he canned is represented by p, and the number of quarts he canned is represented by q. Which equation models the scenario if Chin canned a total of 1,280 ounces?

An isosceles triangle in which the two equal sides, labeled x, are longer than side y.

Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let x represent the number of pairs of socks purchased, and let y represent the number of blouses purchased. Which equation models the purchases she made with $43.92?

What is the value of x in the equation x – y = 30, when y = 15?

What is the value of y in the equation 5x + 2y = 20, when x = 0.3?

What is the value of x in the equation 8x – 2y = 48, when y = 4?

The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of new-release and classic movies bought?