Graphing Systems of Equations and Inequalities Word Problems

Write the inequality

• y>-5x-3

• y≥-5x-3

• y<-5x-3

• y≤-5x-3

Write the inequalities

• y≥-2x+3
  y≤x-3

• y>2x+3
  y≥x-3

• y>-2x+3
  y≥x-3

• y<-2x+3
  y≤x-3

Which system of inequalities represents the graph shown above?

• x+y<-2

  5x+y>2

• x+y>-2

  5x+y<2

• x+y≤-2

  5x+y≥2

• x+y≥-2

  5x+y≤2

Which of the following system of inequalities represents the graph above?

• 3x-y<-4

  2x+y<-3

• 3x-y>-4

  2x+y>-3

• 3x-y≤-4

  2x+y≤-3

• 3x-y≥-4

  2x+y≥-3

Which of the following equations match the given graph?

• y ≥ 2/5x + 1

• y ≥ -2/5x + 1

• y≤  2/5x + 1

• y ≥ -2/5x - 1

Which system of inequalities is shown?

• y ≥ -x - 1
  y < x + 4

• y < -x - 1
   y ≥ x + 4

• y > -x - 1
  y ≥ x + 4

• y > -x - 1
  y ≥ x + 3

Mr. Shah is ordering chicken wings and fries for his son’s birthday party and has a budget of $81. An order of a bucket of chicken wings costs $13 and an order of basket of fries costs $7. Inequality: 13x+7y≤81 b) Graph in Desmos!! c) Choose all possible solutions below:

• 3 buckets of chicken wings & 2 baskets of fries

• 5 buckets of chicken wings &

  1 basket of fries

• 10 buckets of chicken wings &

  0 baskets of fries

• 0 buckets of chicken wings &

  10 baskets of fries

• 5 buckets of chicken wings &

  5 baskets of fries

Which point is not a solution?

• (1, 3)

• (-1, 2)

• (3, -2)

• (5, 0)

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• 1.5x+0.5y=78.5
  x+y=87

• 1.5x+0.5y=78.5
  1.5x+0.5y=87

• x+y=78.5
  1.5x+0.5y=87

• x+y=78.5
  x+y=87

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

• x+y≤300
  7.5x+5.5y≥2000

• x+y<300
  7.5x+5.5y≥2000

• x+y≤300
  7.5x+5.5y≤2000

• x+y>2000
  7.5x+5.5y≤300