Solutions to Linear Functions and Inequalities

The solutions to a function are all the points on the graph of the function. IF you have 2 functions graphed on top of each other, the solutions are the points where the 2 functions intersect. What is the solution of this system of linear equations?

• (0,0)

• (4,0)

• (0,4)

• (2,2)

Because the point (4,2) is on a dashed line, it ...

• is a solution to the system

• is NOT a solution to the system

Select ALL points below that are a solution to the graphed inequality.

• (0, 3)

• (-3, 0)

• (0, 0)

• (0, -3)

Solve the system of equations.

3x - 3y = 33

6x - 3y = 57

• (8,-3)

• (-3,8)

• (10,1)

• (10,-1)

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

• (4, 0)

• (0, -3)

• (2, -3)

• (0, 0)

• (-6, 1)

• (-12, -12)

• (1, -6)

• No solution

• Infinite solutions

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

• x + y ≥ 6
  32x + 20y ≤ 150

• x + y ≥ 632
  x + 20y ≥ 150

• x + y ≤ 6
  32x + 20y ≤ 150

• x + y ≤ 6
  32x + 20y ≥ 150

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

• 1s + 3c = 38

  2s + 3c = 52

• 3s + 1c = 38

  3s + 2c = 52

• s + c = 38

  s + c = 52

• 3s + 3c = 38

  1s + 2c = 52

Solve the system of equations
  4x+8y=20
-4x+2y=-30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)