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WorksheetsLP_1
Total questions: 10
Worksheet time: 14mins
Name
Class
Date
1.
Rachel owns a car and a moped. She has at most 12 gallons of gas to be used between the car and the moped. The car's tank holds at most 10 gallons and the moped's 3 gallons. The mileage for the car is 20 mpg and for the moped is 100 mpg.
What is the objective function?
What is the objective function?
a)
M = 3x + 10y
b)
M = 10x + 3y
c)
M = 20x + 100y
d)
M = 100x + 20y
2.
Rachel owns a car and a moped. She has at most 12 gallons of gas to be used between the car and the moped. The car's tank holds at most 10 gallons and the moped's 3 gallons. The mileage for the car is 20 mpg and for the moped is 100 mpg. Which of the following points is NOT a vertex of the shaded region?
a)
(10,2)
b)
(6, 6)
c)
(0,0)
d)
(0,3)
3.
It takes Sarah 2 hours to make small purses and 3 hours to make big purses. She has a maximum of 18 hours a week. Which inequality represents this situation?
a)
2x + 3y ≤ 18
b)
x + y ≤ 6
c)
x + y ≤ 9
d)
3x + 2y ≤ 18
4.
Sarah makes $30 for each small purse (x) and $50 for each big purse (y). What is the objective quantity?
a)
30x + 50y
b)
50x + 30y
5.
Objective quantity:
30x + 50y
Corner that maximizes profit: (0, 6)
What is the profit?
30x + 50y
Corner that maximizes profit: (0, 6)
What is the profit?
a)
300
b)
280
c)
400
d)
240
6.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
7.
The graph of
y ≥ x - 3
uses a __?__ line
y ≥ x - 3
uses a __?__ line
a)
Dashed
b)
Solid
c)
Horizontal
d)
Vertical
8.
Which system of inequality is shown?
a)
y > -1/5x - 1/2
y ≥ -2x - 4
y ≥ -2x - 4
b)
y > -1/5x - 1/2
y ≤ -2x - 4
y ≤ -2x - 4
c)
y ≥ -1/5x - 1/2
y ≤ -2x - 4
y ≤ -2x - 4
d)
y < -1/5x - 1/2
y ≥ -2x - 4
y ≥ -2x - 4
9.
This system has _____ solutions
a)
0
b)
1
c)
2
d)
Infinitely many
10.
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 . What is the maximum profit that she can earn?
a)
$15,000
b)
$21,000
c)
$18,000
d)
$25,000
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