A farmer can plant up to 6 acres of land with soybeans and corn. Her use of a necessary pesticide is limited by federal regulations to 15 gallons for her entire 6 acres. Soybeans require 2 gallons of pesticide for every acre planted and corn requires 3 gallons per acre. The profit the farmer makes by earning $4,000 for every acre of soybeans he plants and $3,000 for every acre he plants with barley can be modeled by P=4000x+3000y . If x represents acres of soybeans and y represents acres of corns, which inequalities represent the possible solutions to her situation?

x≥0 y≥0 4000x+y≤6 2x+600y≤15

Algebra 2 Unit 1

Authored by Barbara White

Mathematics

8th - 11th Grade

CCSS covered

Used 1+ times

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17 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the solution to the system of equations?

One Solution

No solution

Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

Tags

CCSS.HSA.REI.D.12

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The solution to the system is

(-2, -8)

(-8, -2)

(2, -8)

No solution

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The solution (x, y) to a system of equations is the point where they...?

Run off the graph

Don't touch

Intersect

Exist

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If a system of equations has no solution, what does the graph look like?

intersecting lines

parallel lines

skew lines

crossing lines

Tags

CCSS.8.EE.C.8A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Identify the solution to the equation.

(-4,-3)

(4,3)

(0,8)

(3,4)

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve the system.

−7x + 6y = 29
10x + y = 16

(1,6)

(−1,−3)

x=1

x=-1

Tags

CCSS.HSA.REI.C.9

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Algebra 2 Unit 1

What is the solution to the system of equations?

Which system of inequalities matches the graph?

The solution to the system is

The solution (x, y) to a system of equations is the point where they...?

If a system of equations has no solution, what does the graph look like?

Identify the solution to the equation.

Solve the system.

−7x + 6y = 29
10x + y = 16

The solution to a system of equations is any ordered pair that makes both equations true.

Write the equation of the line passes through the point (3,-1) and has a slope of 2.

Graph. x + y = 2

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Algebra 2 Unit 1

What is the solution to the system of equations?

Which system of inequalities matches the graph?

The solution to the system is

The solution (x, y) to a system of equations is the point where they...?

If a system of equations has no solution, what does the graph look like?

Identify the solution to the equation.

Solve the system. −7x + 6y = 29 10x + y = 16

The solution to a system of equations is any ordered pair that makes both equations true.

Write the equation of the line passes through the point (3,-1) and has a slope of 2.

Graph. x + y = 2

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Solve the system.

−7x + 6y = 29
10x + y = 16