Question 1

A sports magazine prints 12 issues per year, and a technology magazine prints 10 issues per year. The total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year. Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine. Which system of equations can be used to find s, the number of pages in each issue of the sports magazine, and t, the number of pages in each issue of the technology magazine?

Accepted Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/a0adbb7cdec534b043b367b3905d05c71fda6d02.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/05662dbae996aae564f7015737ef12015b387b0e.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/990203cfa1b939d76f7a746766b7d504c654ea9a.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/ca81b0b5be00b821b86f8acf6eb29dd2ebf9aeff.PNG

Question 2

A bag contains 18 coins consisting of quarters and dimes. The total value of the coins is $2.85. Which system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag?

Accepted Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/1994a0035681e665119e77caf595b910eb003c52.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/bd699774a1467f1b04c873b0fd0159f16a4d1b74.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/c8c7753edd972464df33e06d2a46b3961e2675c0.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/a8953767f39ae8683a020d0af24365504c4a9371.PNG

Question 3

A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote. They wrote a total of 46 songs.
Which system of equations models this situation if the drummer wrote d songs and the guitarist wrote g songs?

Accepted Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/21c5c622943a7521670228dc162bcc0005401ea0.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/dcad69fd4d5e1566e32336b430091c796df6b0ca.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/71f61722dd8a1b66afc7a8b4b2e41a1d7770e019.png

Answer

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Question 4

The graphs of lines k$_1$ and k$_2$ are shown on the grid. Which system of equations is best represented by this graph?

Accepted Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/189a856f4d6f31672a020523fe3de392574017ff.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/f8251661a46a249e0cc0cd38bbff8346219e9678.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/43132ec93352c2822f74e1e5346a3a7a70508d39.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/cc6b46a1faf291f41d7748ca39b55dc55e9d7227.png

Question 5

The tables of ordered pairs represent some points on the graphs of lines $q$ and $v$.
Which system of equations is represented by lines $q$ and $v$?

Accepted Answer

$3x - y= -27$  
$x + 2y = 16$

Answer

$9x - y= -27$  
$x + 2y = 8$

Answer

$21x - y= 9$  
$5x + 6y = 40$

Answer

$21x - y= 9$  
$5x + 6y = 20$

Question 6

There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7 inches or 12 inches. The diameter of all 15 plates combined is 140 inches.
Which system of equations can be used to find the number of 7-inch plates, $x$, and the number of 12-inch plates, $y$, that are in the cabinet?

Accepted Answer

$x + y = 15$
$7x + 12y = 140$

Answer

$x + y = 140$
$12x + 7y = 15$

Answer

$7x +12 y = 140$
$7x + 12y = 15$

Answer

$x + y = 15$
$12x + 7y = 140$

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