TEKS A.2I: Writing Systems of Equations

A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were black-and-white copies, and the rest were color copies.

1) Each black-and-white copy cost $0.08.

2) Each color copy cost $0.15.

Which system of equations can be used to find b, the number of black-and-white copies and c, the number of color copies that the customer paid for at the print shop?

• b + c = 6.00

  0.08b + 0.15c = 68

• b + c = 68

  0.15b + 0.08c = 6.00

• b + c = 6.00

  0.15b + 0.08c = 68

• b + c = 68

  0.08b + 0.15c = 6.00

The tables of ordered pairs represent some points on the graphs of lines f and g.

Which system of equations represents lines f and g?

• y = 1.75x + 3.5

  y = -4x - 8

• y = 1.75x + 3.5

  y = -4x - 2

• y = 3.5x + 1.75

  y = -4x - 8

• y = 3.5x + 1.75

  y = -4x - 2

A system of equations is graphed on the grid.

Which system of equations does the graph represent?

• y = -x - 4

  y = 2x - 2

• y = -x + 4

  y = 2x - 4

• y = x - 4

  y = -2x - 2

• y = x + 4

  y = -2x - 4

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The rice of each large candle is the same, and the price of each small candle is the same.

Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

• 4y = 3x + 64

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

The table 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?

• 21x - y = 9

  5x + 6y = 40

• 3x - y = -27

  x + 2y = 16

• 21x - y = 9

  5x + 6y = 20

• 9x - y = -27

  x + 2y = 8

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?

• x + y = 140

  12x + 7y = 15

• 7x + 12y = 140

  7x + 12y = 15

• x + y = 15

  7x + 12y = 140

• x + y = 15

  12x + 7y = 140

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?

• g = 2d - 8

  g + d = 46

• g = 8 - 2d

  g = 46 - d

• d = 2g - 8

  d = 46 - g

• d = 8 - 2g

  d + g = 46

• 3x - y = 2

  4x + 9y = 36

• 3x - y = 6

  4x + 9y = 4

• x - 3y = -18

  9x + 4y = 9

• x + y = 10

  9x + 4y = 13

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 issues 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?

• s = t - 18

  12s = 10t + 32

• t = s - 18

  10t = 12s + 32

• s = t - 18

  10s = 12t + 32

• t = s - 18

  12t = 10s + 32

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?

• 0.10q + 0.25d = 2.85

  q + d = 18

• 0.10q + 0.25d = 18

  q + d = 2.85

• 0.25q + 0.10d = 2.85

  q + d = 18

• 0.25q + 0.10d = 18

  q + d = 2.85