Deck 10: Systems and Matrices

Question 1

The following graph shows the populations of the metropolitan areas of City X and City Y over six years.
In what years was the population of the City X metropolitan area less than that of the City Y metropolitan area?

A) Years 1-3
B) Years 1-5
C) Years 5-6
D) Years 3-5

Answer 1

C

Question 2

Solve the system by substitution.

Answer 2

D

Question 3

Solve the system by elimination.

Answer 3

A

Question 4

The following graph shows the populations of the metropolitan areas of City X and City Y over six years.
If equations of the form y = f(t) were determined that modeled either of the two graphs, then the variable t would represent and the variable y would represent .

A) population (in millions); year
B) City X; City Y
C) City Y; City X
D) year; population (in millions)

Question 5

Solve the system by substitution.

Question 6

Solve the system by substitution.

Question 7

Solve the system by substitution.

Question 8

Solve the system by elimination.

Question 9

Solve the system by substitution.

Question 10

Solve the system by elimination.

Question 11

Solve the system by elimination.

Question 12

Solve the system by elimination.

Question 13

Solve the system by substitution.

Question 14

Solve the system by elimination.

Question 15

Solve the system by substitution.

Question 16

Solve the system by elimination.

Question 17

The following graph shows the populations of the metropolitan areas of City X and City Y over six years.
At the time when the populations of the two metropolitan areas were equal, what was the approximate population of each area?

A) about 0.92 million
B) about 0.87 million
C) about 0.95 million
D) about 1.03 million

Question 18

Solve the system by elimination.

Question 19

The following graph shows the populations of the metropolitan areas of City X and City Y over six years.
Express the solution of the system as an ordered pair.

A) approximately (3.1, 0.95)
B) approximately (3.9, 0.92)
C) approximately (1.2, 1.03)
D) approximately (4.6, 0.87)

Question 20

The following graph shows the populations of the metropolitan areas of City X and City Y over six years.
Use the terms increasing, decreasing, and/or constant to describe the trends for the population of the City X metropolitan area.

A) The population of the City X metropolitan area was increasing from Year 1 to Year 5 and was constant from Year 5 to Year 6.
B) The population of the City X metropolitan area was decreasing from Year 1 to Year 6.
C) The population of the City X metropolitan area was increasing from Year 1 to Year 6.
D) The population of the City X metropolitan area was decreasing from Year 1 to Year 5 and was constant from Year 5 to Year 6.

Question 21

Use a graphing calculator to Express solutions with approximations to the nearest thousandth.

Question 22

Use a graphing calculator to Express solutions with approximations to the nearest thousandth.

Question 23

If the system has infinitely many solutions, write the solution set with x arbitrary.

Question 24

If the system has infinitely many solutions, write the solution set with x arbitrary.

Question 25

If the system has infinitely many solutions, write the solution set with x arbitrary.

Question 26

Solve the system by elimination.

Question 27

If the system has infinitely many solutions, write the solution set with x arbitrary.

Question 28

If the system has infinitely many solutions, write the solution set with x arbitrary.

Question 29

If the system has infinitely many solutions, write the solution set with x arbitrary.

Question 30

If the system has infinitely many solutions, write the solution set with x arbitrary.

Question 31

Use a graphing calculator to Express solutions with approximations to the nearest thousandth.

Question 32

Use a graphing calculator to Express solutions with approximations to the nearest thousandth.

Question 33

Use a graphing calculator to Express solutions with approximations to the nearest thousandth.

Question 34

Use a graphing calculator to Express solutions with approximations to the nearest thousandth.

Question 35

Use a graphing calculator to Express solutions with approximations to the nearest thousandth.

Question 36

If the system has infinitely many solutions, write the solution set with x arbitrary.

Question 37

Use a graphing calculator to Express solutions with approximations to the nearest thousandth.

Question 38

Use a graphing calculator to Express solutions with approximations to the nearest thousandth.

Question 39

If the system has infinitely many solutions, write the solution set with x arbitrary.

Question 40

If the system has infinitely many solutions, write the solution set with x arbitrary.

Question 41

Solve the system in terms of the arbitrary variable x.

Question 42

If the system has infinitely many solutions, write the solution set with x arbitrary.

Question 43

Solve the problem.

A) 12
B) 11
C) 9
D) 10

Question 44

If the system has infinitely many solutions, write the solution set with x arbitrary.

Question 45

Solve the problem.

Question 46

Solve the problem.

Question 47

If the system has infinitely many solutions, write the solution set with x arbitrary.

Question 48

If the system has infinitely many solutions, write the solution set with x arbitrary.

Question 49

Use a graphing calculator to Express solutions with approximations to the nearest thousandth.

Question 50

Use a graphing calculator to Express solutions with approximations to the nearest thousandth.

Question 51

Use a graphing calculator to Express solutions with approximations to the nearest thousandth.

Question 52

If the system has infinitely many solutions, write the solution set with x arbitrary.

Question 53

If the system has infinitely many solutions, write the solution set with x arbitrary.

Question 54

If the system has infinitely many solutions, write the solution set with x arbitrary.

Question 55

If the system has infinitely many solutions, write the solution set with x arbitrary.

Question 56

Solve the problem.

Question 57

If the system has infinitely many solutions, write the solution set with x arbitrary.

Question 58

Use a graphing calculator to Express solutions with approximations to the nearest thousandth.

Question 59

Solve the problem.

Question 60

Solve the system in terms of the arbitrary variable x.

Question 61

Solve the problem.

Question 62

Solve the problem.

Question 63

Solve the problem.

Question 64

Solve the problem.

Question 65

Solve the problem.
n 64)

A) 55.2 lb
B) 59 lb
C) 57.5 lb
D) 57.9 lb

Question 66

Solve the problem.

Question 67

Solve the problem.

A) -1.6
B) -1.2
C) 2.3
D) 1.9

Question 68

Solve the problem.

Question 69

Solve the problem.

A) 12.8
B) 14
C) 20
D) 23.6

Question 70

Solve the problem.

Question 71

Solve the problem.

Question 72

Solve the problem.

Question 73

Solve the problem.

Question 74

Solve the problem.

Question 75

Solve the problem.

Question 76

Solve the problem.

Question 77

Solve the problem.

Question 78

Solve the problem.

Question 79

Solve the problem.

Question 80

Solve the problem.

A) 69,700 collars
B) 100,100 collars
C) 64,700 collars
D) 49,700 collars