Flashback Friday 1-Linear Inequalities

Flashback Friday 1
Linear Inequalities

PAR.4.1 Create and solve linear inequalities in two variables to represent relationships between quantities including mathematically applicable situations: graph inequalities on coordinate axes with labels and scales

PAR.4.2 Represent constraints of linear inequalities and interpret data points as possible or not possible.

Draw

Graph the inequality by hand: $$y\ge x-2$$

Draw

Graph the inequality using Desmos: $$y\le\frac{1}{2}x+1$$

Multiple Select

When graphing $$y\ge-\frac{2}{7}x+1$$  , you will draw which of the following.

• A dotted line

• A solid line

• Shade up

• Shade down

Multiple Choice

Which of the following inequalities match the given graph?

• $$y\ge\frac{2}{5}x+1$$

• $$y\ge-\frac{2}{5}x+1$$

• $$y\le\frac{2}{5}x+1$$

• $$y\ge-\frac{2}{5}x-1$$

Multiple Choice

Which inequality describes this graph?

• y < 3x - 2

• y > 3x + 2

• y < 3x + 2

• y > 3x -2

Multiple Select

According to the graph, which point is a solution? Choose all that apply.

• (0, 0)

• (3, 2)

• (-1, -5)

• (-3, 0)

Multiple Choice

Which point below is NOT a part of the solution set?

• (0, 0)
• (0, 1)
• (-2, -3)

• (5, 4)

Multiple Choice

Which ordered pair is a solution of the inequality?

y ≥ 4x – 5

• (3, 4)

• (3, 0)

• (2, 1)

• (1, 1)

Multiple Choice

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2
• y < 2x - 4
  y < 2
• y > 2x - 4
  y <  2 
• y < 2x - 4
  y <   -2

Multiple Choice

Which system of linear inequalities is represented by the graph?

• y≤2x-1
  y>-2x+3
• y>2x-1
  y≤-2x+3
• y<2x-1
  y≥-2x+3
• y≤2x-1
  y>2x+3

Multiple Choice

Is (0,0) a solution to the system?

• Solution
• Not a solution

Multiple Choice

Which of the following is not a solution to this system of inequalities?

• (0,-1)
• (0,3)
• (4,0)
• (6,-2)

Multiple Choice

Jordan works for a landscape company during his summer vacation. He is paid $12 per hour for mowing lawns and $14 per hour for planting gardens. He can work a maximum of 40 hours per week, and would like to earn at least $250 this week. If m represents the number of hours mowing lawns and g represents the number of hours planting gardens, which system of inequalities could be used to represent the given conditions?

• 
  

  $$m+g\le40$$
  

  $$12m+14g\ge250$$
  

• $$m+g\ge40$$
  $$12m+14g\le250$$
  

• $$m+g\le40$$
  $$12m+14g\le250$$
  

• $$m+g\ge40$$
  $$12m+14g\ge250$$
  

Multiple Choice

Kim wants to earn at least $65 from her two jobs next week. At most, she can work 15 hours. Her first job (x) pays $5 per hour, and her second job (y) pays $7 per hour. Which system of inequalities describes Kim's situation?

• x + y > 15

  5x + 7y < 65

• $$x+y\le15$$
  $$5x+7y\ge65$$
  

• $$x+y\le65$$
  $$5x+7y\ge15$$
  

• x + y > 65

  5x + 7y < 15