(04/28) ALG 2 Unit 6B: Solving System of Inequalities Day 2

Presentation

•

Mathematics

•

10th - 12th Grade

•

Medium

•

CCSS

HSA.REI.D.12, 8.EE.C.8C

Standards-aligned

Beatrice Thames

Used 9+ times

FREE Resource

5 Slides • 8 Questions

(04/28) ALG 2 Unit 6B: Solving System of Inequalities Day 2

The graph of a system of linear inequalities should show the region of the graph where the points are solutions to all the inequalities in the system.

Here is the system of the graph

$y<-2x-1$
$y\ge x-4$

Multiple Choice

Which point is a solution?

(0, 6)

(-3, 4)

(1, 0)

(-4, 3)

Multiple Choice

Chase and Sarah went to the candy store. Chase bought 5 pieces of fudge and 3 pieces of bubble gum for a total of $5.70. Sara bought 2 pieces of fudge and 10 pieces of bubble gum for $3.60. Which system of equations could be used to determine the cost of 1 piece of fudge, f, and 1 piece of bubble gum, g?

5g + 3g = 3.60

2f + 10g = 5.70

5f + 2g = 3.60

3f + 10g = 5.70

5f + 2g = 5.70

3f + 10g = 3.60

5f + 3g = 5.70

2f + 10g = 3.60

Multiple Choice

Jonah is going to the store to buy candles. Small candles cost $3.50 and large candles cost $5.00. He needs to buy at least 20 candles, and he cannot spend more than $80. Write a system of linear inequalities that represent the situation.

x+y\le20

3.5x+5y\ge80

$xy\ge20$
$3.5+5y\le80$

$x-y\ge20$
$3.5x+5y\le80$

$x+y\ge20$
$3.5x+5y\le80$

Multiple Choice

Marsha is buying plants and soil for her garden. The soil cost $4 per bag, and the plants cost $10 each. She wants to buy at least 5 plants and can spend no more than $100. Write a system of linear inequalities to model the situation.

4x+10y\ge100

x\le5

$4x-10y\le100$
$x\ge5$

$4x+10y\le100$
$y\ge5$

$4x-10y\ge100$
$y\le5$

Multiple Choice

Solve the system of inequalities by graphing.

Multiple Choice

Which ordered pair(s) is a solution to the given system?

(5, -5)

(0,0)

(-5, -2)

(3,-3)

How to set up inequalities

Example 1: You can work at most 20 hours next week. You need to earn at least $92 to cover your weekly expenses. Your dog-walking job pays $7.50 per hour and your job as a car wash attendant pays $6 per hour. Write a system of linear inequalities to model the situation.

Breaking up the problem

Example 1: You can work at most (can't go over 20 use less than or equal to symbol) 20 hours next week. You need to earn at least (you can make more than 92 dollars. Use greater than or equal to symbol) $92 to cover your weekly expenses. Your dog-walking job (represented by x) pays $7.50 per hour and your job as a car wash attendant (represented by y) pays $6 per hour. Write a system of linear inequalities to model the situation.

Multiple Choice

Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the maximum and minimum values of the function for this region.
3 ≤ y ≤ 6
y ≤ 3x + 12
y ≤ -2x + 6
f(x , y) = 4x - 2y

The maximum value is 0 at (0, 6). The minimum value is - 20 at (-3, 3).

The maximum value is 0 at (-3, 3). The minimum value is - 20 at (0, 6).

The maximum value is 0 at (-2, 6). The minimum value is - 20 at (1.5, 3).

The maximum value is 0 at (1.5, 3). The minimum value is - 20 at (-2, 6).

Multiple Choice

Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week.
Which inequality represents the situation?

x + y ≤ 8

x + y ≤ 6

2x + 3y ≤ 6

x + y ≤ 10

Writing the system with what we know

x = dog walking job ($7.5 an hour)
y = car wash attendant ($6.00 an hour)
$\le20$ used for working up to 20 hours
$\ge92$ used for what you need to earn to cover expenses
Put it all together to get:
$x+y\le20$
$7.50x+6.00y\ge92$

(04/28) ALG 2 Unit 6B: Solving System of Inequalities Day 2

Show answer

Auto Play

Slide 1 / 13

SLIDE

Similar Resources on Wayground

8 questions

sistemas de ecuaciones

Presentation

•

10th - 12th Grade

13 questions

slope

Presentation

•

9th - 12th Grade

9 questions

Geometry Chapter 1 Test Review

Presentation

•

10th - 12th Grade

10 questions

Subjuntivo

Presentation

•

9th - 12th Grade

12 questions

Exterior angles of a triangle day 2

Presentation

•

10th - 12th Grade

11 questions

Log Equations Video Lesson

Presentation

•

10th - 12th Grade

11 questions

Conics Review

Presentation

•

10th - 12th Grade

10 questions

Evaluating Trig Ratios with the Unit Circle

Presentation

•

9th - 12th Grade

Popular Resources on Wayground

24 questions

PBIS-HGMS Day 10

Quiz

•

6th - 8th Grade

10 questions

HCS SCI 03 Summer School Review 3

Quiz

•

3rd Grade

11 questions

Home Scope

Quiz

•

7th - 8th Grade

15 questions

HCS SCI 05 Summer School Assessment 3 Review

Quiz

•

5th Grade

35 questions

Lufkin Road Middle School Student Handbook & Policies Assessment

Quiz

•

7th Grade

18 questions

Geo 11.3 Area of Circles and Sectors

Quiz

•

9th - 11th Grade

Discover more resources for Mathematics

18 questions

Geo 11.3 Area of Circles and Sectors

Quiz

•

9th - 11th Grade