Deck 7: Systems of Linear Equations and Inequalities in Two Variables

Question 1

Determine whether the ordered pair is a solution of the system of equations shown below. Ordered pair System of equations

A) No
B) Yes
C) Cannot be determined

Answer 1

Yes

Question 2

Solve the system by graphing:

A)
B)
C)
D)

Answer 2

Question 3

The ordered pair (1, 3) is a solution of the given system.

Answer 3

True

Question 4

Graph the inequality.

A)
B)
C)
D)
E)

Question 5

Solve the system by graphing:

A)
B)
C)
D)

Question 6

Use two equations in two variables to solve the following problem. A rancher raises five times as many cows as horses. If he has 204 animals (cows and horses only), how many cows does he have?

A) 170 cows
B) 190 cows
C) 210 cows
D) 180 cows
E) 140 cows

Question 7

Tell whether the ordered pair (- 5, 3) is a solution of the given system.

A) no
B) yes

Question 8

Solve the system by graphing:

A)
B)
C)
D)

Question 9

Last month, a bookstore ran the ad shown in Illustration and sold calculators, generating $ in sales. How many of each type of calculator did the bookstore sell?

A) $14 calculators, $72 calculators
B) $14 calculators, $72 calculators
C) $14 calculators, $72 calculators
D) $14 calculators, $72 calculators
E) $14 calculators, $72 calculators

Question 10

Solve the system by graphing:

A)
B)
C)
D)

Question 11

Solve the system by graphing:

A)
B)
C)
D)

Question 12

Solve the system by graphing:

A)
B)
C)
D)

Question 13

Graph the inequality.

A)
B)
C)
D)
E)

Question 14

Solve the system by graphing:

A)
B)
C)
D)

Question 15

Solve the system by graphing:

A)
B)
C)
D)

Question 16

Decide whether the ordered pair is a solution of the inequality.

Question 17

Sue bought 3 packages of cookies and 2 sacks of potato chips for $3.63. Later she bought 5 more packages of cookies and 3 additional sacks of potato chips for $5.87. Find the price of a package of cookies.

A) A package of cookies cost $0.85.
B) A package of cookies cost $0.52.
C) A package of cookies cost $0.54.
D) A package of cookies cost $0.84.
E) A package of cookies cost $0.83.

Question 18

Solve the system by graphing:

A)
B)
C)
D)

Question 19

The graph of a linear inequality is shown. Tell whether point satisfies the inequality.

Question 20

Decide whether each ordered pair is a solution of the inequality. Answer yes or no . __________ __________ __________ __________

Question 21

Find the solution set of the system of inequalities.

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

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 24

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 25

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 26

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 27

Graph the inequality.

A)
B)
C)
D)
E)

Question 28

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 29

Find the solution set of the system of inequalities.

A)
B)
C)

Question 30

Find the solution set of the system of inequalities.

A)
B)
C)
D)
E)