Systems of Equations

A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of song 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

Which system of equations is best represented by this graph?

• 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 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

What is the solution to this system of equations?

• The ordered pair (-½, 0) is the solution

• The ordered pair (0 ,²∕₇) is the solution

• There are an infinite number of solutions

• There is no solution

A new spiral notebook contains 30 more sheets of paper than a new memo book. The total number of sheets of paper in 3 new spiral notbooks and 5 new memo books is $810. Which system of equations can be used to find s, the number of spiral notebook, and m, the number of sheets of paper in one new memo book?

• s - m = 30

  3s + 5m = 810

• s + m = 30

  3s + 5m = 810

• s - m = 30

  5s + 3m = 810

• s + m = 30

  5s + 3m = 810

4.4 mi

4.5 mi

6.4 mi

6.8 mi

• 4.4 mi

• 4.5 mi

• 6.4 mi

• 6.8 mi

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A.2(I)

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A.2(I)

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A.2(I)

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A.2(I)