Deck 4: Inequalities

Question 1

Solve the equation, if possible.

A) 6, -16
B) 6
C) 6, 16
D) 6, 16
E) no solution

Answer 1

6, -16

Question 2

Graph the inequality. or

A)
B)
C)
D)
E)

Answer 2

Question 3

Solve the equation.

A) x = -2, x = 12
B) x = 12
C) x = 2, x = 12
D) x = 2
E) x = -2, x = -12

Answer 3

x = 2, x = 12

Question 4

Solve the equation, if possible.

A)
B)
C)
D)
E) no solution

Question 5

Solve the equation, if possible.

A)
B)
C)
D)
E) no solution

Question 6

Graph .

A)
B)
C)
D)

Question 7

Solve the inequality. Graph the result.

A)
B)
C)
D)
E)

Question 8

Graph the inequality.

A)
B)
C)
D)
E)

Question 9

A college provides its employees with a choice of the two medical plans shown in the table. For what size hospital bills is Plan 2 better than Plan 1? ( Hint: The cost to the employee includes both the deductible payment and the employee's insurance co-payment.)

A) Anything over $900
B) Anything less $1,200
C) Anything over $600
D) Anything over $1,000
E) Anything less $1,300

Question 10

Solve the inequality. Graph the solution set.

A)
B)
C)
D)

Question 11

Graph .

A)
B)
C)
D)

Question 12

Graph .

A)
B)
C)
D)

Question 13

To hold the temperature of a room between and what Fahrenheit temperatures must be maintained?

A)
B)
C)
D)
E)

Question 14

Solve the inequality. Graph the result. or

A)
B)
C)
D)
E)

Question 15

Solve the inequality and graph the solution set.

A)
B)
C)
D)
E) Ø

Question 16

Solve the inequality and write the solution set using interval notation.

A)
B)
C)
D)
E) Ø

Question 17

Solve the inequality and graph the solution set.

A)
B)
C)
D)
E) Ø

Question 18

Graph the inequality. x > 4 or x

A)
B)
C)
D)

Question 19

A student can afford to spend up to $370 on a stereo system and some compact discs. If the stereo costs $155 and the discs are $9.50 each, find the greatest number of discs he can buy.

A) 22
B) 20
C) 26
D) 25
E) 21

Question 20

Solve the equation, if possible.

A)
B)
C)
D)
E) no solution

Question 21

On average, it takes an accountant 1 hour to complete a simple tax return and 4 hours to complete a complicated return. If the accountant wants to work no more than 8 hours per day, graph an inequality that shows the possible ways that simple returns ( x ) and complicated returns ( y ) can be completed each day. Graph the inequality for nonnegative values of x and y .

A)
B)
C)
D)
E)

Question 22

Tickets to a concert cost $6 for reserved seats and $4 for general admission. If receipts must be at least $10,200 to meet expenses, graph an inequality that shows the possible ways that the box office can sell reserved seats ( x ) and general admission tickets ( y ). Graph the inequality for nonnegative values of x and y .

A)
B)
C)
D)
E)

Question 23

Solve the equation, if possible.

A)
B)
C)
D)
E) no solution

Question 24

A distributor wholesales desk chairs for $200 and side chairs for $100. Best Furniture wants to order no more than $1,200 worth of chairs and wants to order more side chairs than desk chairs. Find a system of inequalities whose graph will show the possible combination of desk chairs ( x ) and side chairs ( y ) that can be ordered, graph the system of inequalities, and determine whether the ordered pairs satisfy the inequality.

A)
B)
C)
D)
E)

Question 25

Solve the inequality.

A)
B)
C)
D)
E)

Question 26

Graph the solution set of the system.

A)
B)
C)
D)

Question 27

Identify the graph of the inequality. x > 5 and y

A)
B)
C)
D)
E)

Question 28

Solve the equation.

A)
B)
C)
D)
E)

Question 29

Graph the inequality.

A)
B)
C)
D)
E)

Question 30

Find the solution set of the system of inequalities.

A)
B)
C)
D)
E)

Question 31

Identify the graph of the inequality.

A)
B)
C)
D)
E)

Question 32

Solve the equation. Give the solution in interval notation.

A)
B)
C)
D)
E) no solution

Question 33

Graph the solution set of the system.

A)
B)
C)
D)

Question 34

A sporting goods manufacturer allocates at least 1,200 units of time per day to make fishing rods and reels. If it takes 15 units of time to make a rod and 30 units of time to make a reel, graph an inequality that shows the possible ways to schedule the time to make rods ( x ) and reels ( y ). Graph the inequality for nonnegative values of x and y .

A)
B)
C)
D)
E)

Question 35

Find the solution set of the system of inequalities.

A)
B)
C)
D)
E)

Question 36

Graph the solution set of the system.

A)
B)
C)
D)

Question 37

Identify the graph of the inequality.

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B)
C)
D)
E)

Question 38

Graph the inequality.

A)
B)
C)
D)
E)

Question 39

Find the solution set of the system of inequalities.

A)
B)
C)

Question 40

Graph the inequality.

A)
B)
C)
D)
E)

Question 41

Minimize P subject to the constraints.

A) at
B) at
C) at
D) at
E) at

Question 42

Melodic Music has compact discs on sale for either $15 or $20. If a customer wants to spend at least $60 but no more than $120 on CDs, graph a system of inequalities that will show the possible ways a customer can buy $15 CDs ( x ) and $20 CDs ( y ).

A)
B)
C)
D)
E)

Question 43

Maximize P subject to the constraints.

A) at
B) at
C) at
D) at
E) at

Question 44

A small country exports soybeans and flowers. Soybeans require 8 workers per acre, flowers require 12 workers per acre, and 100,000 workers are available. Government contracts require that there be at least 3 times as many acres of soybeans as flowers planted. It costs $250 per acre to plant soybeans and $300 per acre to plant flowers, and there is a budget of $3 million. If the profit from soybeans is $1,600 per acre and the profit from flowers is $2,400 per acre, find the maximum profit. Round the answer to the nearest tenth of million.

A) $20 million
B) $24.4 million
C) $23 million
D) $22.1 million
E) $21.1 million

Question 45

Two woodworkers, Tom and Carlos, bring in $100 for making a table and $80 for making a chair. On average, Tom must work 3 hours and Carlos 2 hours to make a chair. Tom must work 2 hours and Carlos 6 hours to make a table. If neither wishes to work more than 42 hours per week, find the maximum income.

A) $1,560
B) $1,660
C) $1,160
D) $1,060
E) $1,260

Question 46

Dry Boat Works wholesales aluminum boats for $500 and fiberglass boats for $300. Northland Marina wants to order at least $750 worth but no more than $1,500 worth of boats. Write a system of linear inequalities which describes all possible combinations of aluminum boats ( x ) and fiberglass boats ( y ) that can be ordered, graph the system of inequalities, and determine whether the ordered pairs satisfy the inequality.

A)
B)
C)
D)
E)

Question 47

Maximize P subject to the constraints.

A) at
B) at
C) at
D) at
E) at

Question 48

An electronics store manager stocks from 30 to 40 IBM-compatible computers and from 40 to 50 Macintosh computers. There is room in the store to stock up to 80 computers. The manager receives a commission of $60 on the sale of each IBM-compatible computer and $30 on the sale of each Macintosh computer. If the manager can sell all of the computers, find the maximum commission.

A) $3,700
B) $3,300
C) $3,200
D) $3,600
E) $3,800