Colin needs to save at least $200 for homecoming. He works 2 jobs earning $9/hour at Wawa and $25/hour mowing lawns. He only has time to work 16 hours before homecoming.

100x + 25 y ≤ 200 2x + 9y ≤ 16

A deli sells ham subs (h) for $6 each and meatball subs (m) for $8 each. The deli sells less than 40 subs on Monday. The total amount for all sales is less than $200. Which system of inequalities models this situation?

h + m < 40 h\ +\ m\ <\ 40 h + m < 4 0 6 h + 8 m < 200 6h\ +\ 8m\ <\ 200 6 h + 8 m < 2 0 0

h + m > 40 h\ +\ m\ >\ 40 h + m > 4 0 6 h + 8 m > 200 6h\ +\ 8m\ >\ 200 6 h + 8 m > 2 0 0

h + m ≤ 40 h\ +\ m\ \le\ 40 h + m ≤ 4 0 6 h + 8 m < 200 6h\ +\ 8m\ <\ 200 6 h + 8 m < 2 0 0

h + m ≤ 40 h\ +\ m\ \le40 h + m ≤ 4 0 6 h + 8 m ≤ 200 6h\ +\ 8m\ \le\ 200 6 h + 8 m ≤ 2 0 0

The solution set to the system of inequalities is graphed. y > 3 2 x + 2.5 y\ >\ \frac{3}{2}x\ +\ 2.5 y > 2 3 x + 2 . 5 y < − 1 4 x + 2 y\ <\ -\frac{1}{4}x\ +\ 2 y < − 4 1 x + 2 What is wrong with the graph?

The line(s) are graphed incorrectly.

One line should be solid and the other dashed.

Which system of inequalities is represented by the graph?

y ≥ x y\ \ge\ x y ≥ x y ≤ x + 4 y\ \le\ x\ +\ 4 y ≤ x + 4

y > x y\ >\ x y > x y < x + 4 y\ <\ x\ +\ 4 y < x + 4

y < x y\ <\ x y < x y > x + 4 y\ >\ x\ +\ 4 y > x + 4

y ≤ x y\le x y ≤ x y ≥ x + 4 y\ \ge x\ +\ 4 y ≥ x + 4

Which systems of inequalities in represented in the graph?

x > 3 x\ >\ 3 x > 3 y < − 1 y\ <\ -1 y < − 1

x < 3 x\ <\ 3 x < 3 y < − 1 y\ <\ -1 y < − 1

x < − 1 x\ <\ -1 x < − 1 y > 3 y\ >\ 3 y > 3

x > − 1 x\ >\ -1 x > − 1 y < 3 y\ <\ 3 y < 3

Systems of Linear Inequalities

Authored by Erika Garmers

Mathematics

9th Grade

CCSS covered

Used 31+ times

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

≤, ≥

<, >

Tags

CCSS.HSA.REI.D.12

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

<, >

≤, ≥

Tags

CCSS.HSA.REI.D.12

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Is (-2,4) a solution to the system?

Solution

Not a solution

Tags

CCSS.HSA.REI.D.12

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

(0,-1)

(0,3)

(4,0)

(6,-2)

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which region represents the solution to the following system of inequalities?
y ≤ x + 2
y ≤ -x+ + 4

Region F

Region G

Region H

Region J

Tags

CCSS.HSA.REI.D.12

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which region in the graph shown represents the solution to the following system of linear inequalities?
2x - y > 6
3y ≤ x - 6

Region A

Region B

Region C

Region D

Tags

CCSS.HSA.REI.D.12

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

This system has an infinite number of solutions, TRUE or FALSE?

TRUE

FALSE

Tags

CCSS.8.EE.C.8A

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Systems of Linear Inequalities

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

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

Is (-2,4) a solution to the system?

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

Which region represents the solution to the following system of inequalities?
y ≤ x + 2
y ≤ -x+ + 4

Which region in the graph shown represents the solution to the following system of linear inequalities?
2x - y > 6
3y ≤ x - 6

This system has an infinite number of solutions, TRUE or FALSE?

Which system of inequalities matches the graph?

Which system of linear inequalities is represented by the graph?

Solve the system of inequalities by graphing.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Systems of Linear Inequalities

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

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

Is (-2,4) a solution to the system?

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

Which region represents the solution to the following system of inequalities?y ≤ x + 2y ≤ -x+ + 4

Which region in the graph shown represents the solution to the following system of linear inequalities?2x - y > 63y ≤ x - 6

This system has an infinite number of solutions, TRUE or FALSE?

Which system of inequalities matches the graph?

Which system of linear inequalities is represented by the graph?

Solve the system of inequalities by graphing.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Which region represents the solution to the following system of inequalities?
y ≤ x + 2
y ≤ -x+ + 4

Which region in the graph shown represents the solution to the following system of linear inequalities?
2x - y > 6
3y ≤ x - 6