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- 1. Multiple ChoiceA farmer has asked you for advice on the best strategy for planting wheat and corn on her 500-acre farm. To make it through harvest time, each acre of wheat she plants will require 1 person-day of labor and other expenses of $20. Each acre of corn she plants will require 5 person-days of labor and expenses of $30. The farmer has $11,400 and 1480 person-days of labor available, and she expects to make a profit of $90 per acre of wheat and $120 per acre of corn. If x = acres of wheat and y = acres of corn, which of the following is NOT a constraint?x + y ≤ 50020x + 30y ≤ 11,400y ≥ 5x + 30x + 5y ≤ 1480
- 2. Multiple ChoiceA farmer has asked you for advice on the best strategy for planting wheat and corn on her 500-acre farm. To make it through harvest time, each acre of wheat she plants will require 1 person-day of labor and other expenses of $20. Each acre of corn she plants will require 5 person-days of labor and expenses of $30. The farmer has $11,400 and 1480 person-days of labor available, and she expects to make a profit of $90 per acre of wheat and $120 per acre of corn. What is the maximum profit?$47,400$49,200$51,000$52,300
- 3. Multiple Choice
What is the solution to this system of equations?(4, -1)(-1, 4)(-4, 1)(-4, -1) - 4. Multiple ChoiceA gym charges a one-time registration fee as well as a monthly fee. The cost of joining the gym for 4 months is $370, and the cost of joining for 6 months is $530. Write a system of equations to find the registration fee and monthly fee. m= months; r = registration fee.r - 4m = 370
r - 6m = 530r + 4m = 370
r + 6m = 530m + 4r = 370
m + 6r = 530m - 4r = 370
m - 6r = 530 - 5. Multiple ChoiceDiego scores 11 more points than Travis. Together they score 21 points. How many points did each person score?Diego: 11, Travis: 10Diego: 10, Travis: 11Diego: 5, Travis: 16Diego: 16, Travis: 5
- 6. Multiple ChoiceTwo brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?$5$10$15$20
- 7. Multiple ChoiceIn a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses?10 horses, 18 chickens16 horses, 12 chickens12 horses, 16 chickens18 horses, 10 chickens
- 8. Multiple ChoiceErin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.x + y = 33
y = 2x - 3x + y = 33
x = 2y - 3x + y = 33
x = 3 - 2yx + y = 3
x = 33 - 2y - 9. Multiple ChoiceSolve for x and y
3x + 2y = 16
7x + y = 19(-2,5)(-2,-5)(2,-5)(2,5) - 10. Multiple ChoiceSolve for x and y
y = 2x + 1
y = 4x - 1(1,3)(-1,-3)(-1,3)(3,1) - 11. Multiple ChoiceSolve the system by substitution.
2x − y = −5
y = 2x + 5Infinite number of solutions
(−4, −8)
(−4, 5)(−4, 3) - 12. Multiple ChoiceSolve the system by substitution.
y = −6x + 3
−18x − 3y = 4(−3, 8)(−8, −3)(2, −3)No Solution - 13. Multiple ChoiceSolve the system by substitution.
5x + 4y= −14
y = −7x − 15(-2, -1)(1, -2)(-2, 1)(-1, -2) - Answer choicesTagsAnswer choicesTags