Writing and Solving System of Equations 10/21/24

Mrs. Bennett wrote the following system of equations on the board:

4x – 3y = 12

y = 1/2 x + 3

What is the solution to the system of equations?

• (3, 0)

• (-12, -12)

• (0, 6)

• (12, 12)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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. Part A: 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

Tags

CCSS.HSA.CED.A.3

Part B: How many songs did guitarist write?

Mathematical Equivalence

ON

Tags

CCSS.6.EE.B.6

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

• 0.10x + 0.25y = 2.85

  y + x = 18

• 0.10x + 0.25y = 18

  x + y = 2.85

• 0.25x + 0.10y = 18

  x + y = 2.85

• 0.25x + 0.10y = 2.85

  x + y = 18

Tags

CCSS.HSA.CED.A.3

A system of linear equation is shown. Which statement about the solution to the system of equations is true?

–3y = –3x + 15

y = x – 5

• The system has one solution (5, 0).

• The system has an infinite number of solutions.

• The system has one solution (0, -5).

• The system has no solution

Tags

CCSS.8.EE.C.8B