(04/26) ALG 2 Unit 6B: Solving Inequalities Day 1 Lesson

(04/26) ALG 2 Unit 6B: Solving Inequalities Day 1 Lesson

Let's review system of equations 1st!!

Multiple Choice

How many solutions will this system have?

• One Solution

• No Solution

• Infinite Number of Solutions

Multiple Choice

Berkmar High School is planning to sell spirit shirts and shorts to the student body.

· Jessica purchased 4 shirts and 2 shorts for a total of $50.

· Elizabeth purchased 3 shirts and 3 shorts for a total of $40.

Which system of equations models Jessica’s purchase and Jane’s purchase of Berkmar’s spirit wear.

• $4x+3y=50$
  $3x+2y=40$
  

• $3x+2y=40$
  $4x+3y=50$
  

• $4x+2y=40$
  $3x+3y=50$
  

• $4x+2y=50$
  $3x+3y=40$
  

Multiple Choice

There are two companies that provide natural gas to Georgia: GSC and CGL. Determine which system of equations best represents the gas companies graphed in the picture shown.

• A

• B

• C

• D

Multiple Choice

Using the system of equations below, determine the number of solutions or no solution for:

System A:

 $y=-3x+4$  
 $y=\left(x-5\right)^2+5$  

• One Point of Intersection

• Two Points of Intersection

• No Solution

How do we graph a system of inequalities??

Let's review using this video!!

Multiple Choice

When graphing an inequality, you use a dotted (dashed) line when you use which symbol?

• <, >

• ≤, ≥

Multiple Choice

When you graph an inequality, you use a solid line when you use which symbols?

• ≤, ≥

• <, >

Multiple Choice

Which inequality is graphed on the given coordinate plane?

**Use DESMOS Graphing Calculator!!!

• y > x + 1

• y < x + 1

• y ≥ -x + 1

• y ≤ -x + 1

Multiple Choice

Which inequality is graphed on the given coordinate plane?

**USE DESMOS Graphing Calculator!!

• y < 2x +2

• y > ¹/₂x - 2

• y ≥ - 2x +2

• y ≥ 2x - 2

Multiple Choice

Which point below is NOT part of the solution set?

• (0, 0)

• (5, 1)

• (-1, -3)

• (20, -5)

Multiple Choice

Which system of linear inequalities is represented by the graph?

HINT: Look for the overlapping color region on DESMOS!!

• 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

Which is the graph of the system of inequalities?

What's NEXT??

• Complete questions # 1-10 on the test review on -e-class!! Answers will be submitted FRIDAY on Quizizz!!

• Please continue to submit March & April old assignments!!

• Google form request will be sent out during 2nd period today!! If you have completed the assignment you can email us as well!!

• Unit 6B test will be next Tuesday (05/04)

• 2nd Semester Performance Final will be given on May 10th!! Review coming next week!!