Deck 4: Systems of Linear Equations and Inequalities

Question 1

Provide an appropriate response.


-Which month in 2007 had the highest sales?

A) Month 12
B) Month 3
C) Month 6
D) Month 5

Answer 1

Month 12

Question 2

Provide an appropriate response.


-What was the increase in sales between month 5 and month 6 of 2007?

A) $4
B) $800
C) $8000
D) $4000

Answer 2

$4000

Question 3

Provide an appropriate response.


-What were the total sales for the first 6 months of 2006?

A) $290,000
B) $46,000
C) $366,000
D) $240,000

Answer 3

$290,000

Question 4

Provide an appropriate response.


-What were the total sales for the first 6 months of 2007?

A) $64,000
B) $302,000
C) $286,000
D) $366,000

Question 5

Provide an appropriate response.


-What were the total sales for 2006?

A) $48,000
B) $582,000
C) $50,000
D) $764,000

Question 6

Decide whether or not the ordered pair is a solution to the equation

-x + y = 7; (2, 5)

Question 7

Decide whether or not the ordered pair is a solution to the equation

-x + y = 8; (4, 2)

Question 8

Decide whether or not the ordered pair is a solution to the equation

-x - y = 16; (4, 6)

Question 9

Decide whether or not the ordered pair is a solution to the equation

-3x + y = 14; (4, 2)

Question 10

Decide whether or not the ordered pair is a solution to the equation

-3x + 5y = 16; (2, 2)

Question 11

Decide whether or not the ordered pair is a solution to the equation

-2x - 2y = 10; (2, 3)

Question 12

Decide whether or not the ordered pair is a solution to the equation

-- 7x - 19y = 130; (- 5, - 5)

Question 13

Decide whether or not the ordered pair is a solution to the equation

-y = 3x; (- 1, - 3)

Question 14

Decide whether or not the ordered pair is a solution to the equation

-y = - 5; (- 3, 1)

Question 15

Decide whether or not the ordered pair is a solution to the equation

-x + 7 = 0; (- 7, 5)

Question 16

Complete the ordered pair for the given equation

-y = - x + 8 (5, )

A) (5, 5)
B) (5, - 3)
C) (5, 15)
D) (5, 3)

Question 17

Complete the ordered pair for the given equation

-y = - x - 8 (- 9, )

A) (- 9, - 11)
B) (- 9, 11)
C) (- 9, 1)
D) ( - 9, - 1)

Question 18

Complete the ordered pair for the given equation

-y = - 4x - 15 (- 3, )

A) (- 3, 60)
B) (- 3, - 15)
C) (- 3, - 3)
D) ( - 3, 3)

Question 19

Complete the ordered pair for the given equation

-y = - 3x - 22 (- 9, )

A) (- 9, 5)
B) (- 9, 6)
C) (- 9, - 22)
D) ( - 9, - 9)

Question 20

Complete the ordered pair for the given equation

-8x + y = - 62 (0, )

A) (0, - 8)
B) (0, - 70)
C) (0, - 62)
D) (0, - 496)

Question 21

Complete the ordered pair for the given equation

-5x + y = - 37 ( , - 37)

A) (5, - 37)
B) (- 185, - 37)
C) (0, -37)
D) (-8, -37)

Question 22

Complete the table of values for the given equation

-

A) 0; 0; 0
B) 4; 4; 4
C) 1; 3; 5
D) -3; -3; -3

Question 23

Complete the table of values for the given equation

-

A) 5; 5; 5
B) 9; 4; 1
C) 2; 4; 6
D) 9; 4; 0

Question 24

Complete the table of values for the given equation

-

A) 9; 4; 1
B) 9; 4; 0
C) 0; 5; 9
D) 9; 20; 0

Question 25

Complete the table of values for the given equation

-

A) 3; 1; 0
B) 3; - 1; 0
C) 3; - 4; - 1
D) 3; - 1; - 4

Question 26

Complete the table of values for the given equation

-

A) 6; - 36; - 43
B) 6; 0; - 43
C) 6; - 48; - 43
D) - 6; - 36; - 43

Question 27

Complete the table of values for the given equation

-

A) 0; 5; - 5
B) 0; - 5; 5
C) 10; - 5; 5
D) 10; 5; - 5

Question 28

Give the ordered pairs for the points labeled on the graph.

-

A) A(2, 28); B(1, - 6)
B) A(6, 2); B(1, - 6)
C) A(6, 2); B(- 6, 1)
D) A(6, 1); B(2, 1)

Question 29

Give the ordered pairs for the points labeled on the graph.

-

A) C(- 5, 4); D(- 5, 2)
B) C(- 5, 4); D(2, - 5)
C) C(- 5, - 5); D(4, - 5)
D) C(4, 6); D( - 5, 2)

Question 30

Give the ordered pairs for the points labeled on the graph.

-

A) G(6, - 2); H(- 7, - 2)
B) G(- 7, 28); H(- 2, - 6)
C) G(6, - 7); H(- 2, - 6)
D) G(6, - 7); H( - 6, - 2)

Question 31

Give the ordered pairs for the points labeled on the graph.

-

A) A(- 4, 0); B(5, - 6)
B) A(- 4, 4); B(5, - 6)
C) A(- 4, 0); B(- 5, - 6)
D) A(4, 0); B(5, - 6)

Question 32

Give the ordered pairs for the points labeled on the graph.

-

A) A(1, - 5); B(1, - 5)
B) A(- 1, 5); B(0, 5)
C) A(1, 5); B(0, - 5)
D) A(1, 5); B(0, 5)

Question 33

Plot the ordered pairs on the rectangular coordinate system provided.

-A(6, 4), B(- 3, 6)

A)
B)
C)
D)

Question 34

Plot the ordered pairs on the rectangular coordinate system provided.

-A(3, - 5), B(- 5, 5)

A)

B)

C)

D)

Question 35

Plot the ordered pairs on the rectangular coordinate system provided.

-A( - 4, - 6), B( - 5, 3)

A)

B)

C)

D)

Question 36

Plot the ordered pairs on the rectangular coordinate system provided.

-A(6, 6), B(5, - 3)

A)

B)

C)

D)

Question 37

Plot the ordered pairs on the rectangular coordinate system provided.

-A(3, 6), B(- 4, - 5)

A)

B)

C)

D)

Question 38

Plot the ordered pairs on the rectangular coordinate system provided.

-

A)

B)

C)

D)

Question 39

Plot the ordered pairs on the rectangular coordinate system provided.

-A(- 4, 0), B (0, 3)

A)

B)
C)
D)

Question 40

Plot the ordered pairs on the rectangular coordinate system provided.

-A(0, - 4), B (4, 0)

A)

B)

C)

D)

Question 41

For the given equation, complete the table of values and plot the resulting ordered pairs.

-x + 1 = 0

A)

B)

C)

D)

Question 42

For the given equation, complete the table of values and plot the resulting ordered pairs.

-y + 1 = 0

A)

B)

C)

D)

Question 43

For the given equation, complete the table of values and plot the resulting ordered pairs.

-x - y = 5

A)

B)

C)

D)

Question 44

Solve the problem.

-Suppose that during a certain step in a chemical manufacturing process the amount of chlorine dissolved in a solution, measured in parts per million (ppm), is related to the elapsed time measured from the beginning of the step. Use the following table as a representation of this relationship. Write the data from the table as ordered pairs (x, y), where x represents the time and y represents the amount dissolved.

A) (1, 18.0), (2, 20.4), (3, 22.4), (4, 24.4), (5, 26.2)
B) (18.0, 4), (20.4, 8), (22.4, 12), (24.4, 16), (26.2, 20)
C) (0, 18.0), (4, 20.4), (8, 22.4), (12, 24.4), (16, 26.2)
D) (4, 18.0), (8, 20.4), (12, 22.4), (16, 24.4), (20, 26.2)

Question 45

Solve the problem.

-Suppose that during a certain step in a chemical manufacturing process the amount of chlorine dissolved in a solution, measured in parts per million (ppm), is related to the elapsed time measured from the beginning of the step. Use the following table as a representation of this relationship. What does the ordered pair (9, 26.4) mean in the context of this situation?

A) (9, 26.4) indicates that 9 ppm of chlorine was dissolved after 26.4 minutes elapsed.
B) (9, 26.4) indicates that 26.4 ppm of chlorine was dissolved after 15 minutes elapsed.
C) (9, 26.4) indicates that 26.4 ppm of chlorine was dissolved after 9 seconds elapsed.
D) (9, 26.4) indicates that 26.4 ppm of chlorine was dissolved after 9 minutes elapsed.

Question 46

Solve the problem.

-Suppose that during a certain step in a chemical manufacturing process the amount of chlorine dissolved in a solution, measured in parts per million (ppm), is related to the elapsed time measured from the beginning of the step. Use the following table as a representation of this relationship. Make a scatter diagram of the data. What is happening to the amount of chlorine in solution during this time frame?

A)
B)
C)
D)

Question 47

Solve the problem.

-Suppose that the speed of a car, measured in miles per hour (mph), is monitored for some short period of time after the driver applies the brakes. The following table relates the speed of the car to the amount of time, measured in seconds (sec), elapsed from the moment that the brakes are applied. Make a scatter diagram of the data. What is happening to the speed of the car during this time frame?

A)
B)
C)
D)

Question 48

Solve the problem.

-Suppose that the speed of a car, measured in miles per hour (mph), is monitored for some short period of time after the driver applies the brakes. The following table and graph relate the speed of the car to the amount of time, measured in seconds (sec), elapsed from the moment that the brakes are applied. What is happening to the speed of the car during this time frame? In which of the time intervals does the speed change the most?

A) With increasing elapsed time, the speed decreases. The speed changes most during the time interval from 12 seconds to 15 seconds.
B) With increasing elapsed time, the speed increases. The speed changes most during the time interval from 3 seconds to 6 seconds.
C) With increasing elapsed time, the speed decreases. The speed changes most during the time interval from 3 seconds to 6 seconds.
D) With increasing elapsed time, the speed increases. The speed changes most during the time interval from 12 seconds to 15 seconds.

Question 49

Solve the problem.

-A hardware store owner advertises a certain brand of drill. Each month he changes the price (in dollars) of the drill and tracks the number of units sold. His sales can be approximated by the equation y = - 3x + 34, where x represents price and y represents sale. Complete the table, and make a scatter diagram of the data.

Question 50

Answer the question.
-The ordered pair (3, 4) is a solution of the equation 2x - 3y = .

Question 51

Answer the question.
-The ordered pair (1, ) is a solution of the equation y = 7.

Question 52

Answer the question.

-In quadrant IV, the y- coordinate is always positive.

Question 53

Answer the question.

-The ordered pair (- 5, 8) determines a point in quadrant II with x- coordinate - 5 and y- coordinate 8.

Question 54

Answer the question.

-The ordered pair (- 4, - 3) determines a point in quadrant III with x- coordinate - 3 and y- coordinate
- 4.

Question 55

Answer the question.

-In quadrant II, the y- coordinate of a point is always negative.

Question 56

Complete the ordered pairs. Then graph the equation by plotting the points and drawing a line through them

-x + y = 6 (0, ), ( , 0), (4, )

A) (0, 6), (6, 0), (4, 2)

B) (0, - 6), (6, 0), (4, - 2)

C) (0, 6), (- 6, 0), (4, 10)

D) (0, - 6), (- 6, 0), (4, - 10)

Question 57

Complete the ordered pairs. Then graph the equation by plotting the points and drawing a line through them

-y = x - 4 (0, ), ( , 0), (2, )

A) (0, -4), (-4, 0), (2, -6)

B) (0, 4), (- 4, 0), (2, 6)

C) (0, 4), (4, 0), (2, 2)

D) (0, - 4), (4, 0), (2, - 2)

Question 58

Complete the ordered pairs. Then graph the equation by plotting the points and drawing a line through them

-y + 6 = x (0, ), ( , 0), (5, )

A) (0, 6), (- 6, 0), (5, 11)

B) (0, - 6), (6, 0), (5, - 1)

C) (0, 6), (6, 0), (5, 1)

D)

Question 59

Complete the ordered pairs. Then graph the equation by plotting the points and drawing a line through them

-y = 2x + 6 (0, ), ( , 0), (2, )

A) (0, 6), (- 3, 0), (2, 10)

B) (0, - 6), (3, 0), (2, - 2)

C) ?
D) (0, 6), (3, 0), (2, 2)

Question 60

Complete the ordered pairs. Then graph the equation by plotting the points and drawing a line through them

-2x - y = - 4 (0, ), ( , 0), (4, )

A) (0, 4), (2, 0), (4, - 4)

B) (0, 4), (-2, 0), (4, 12)

C) (0, - 4), (2, 0), (4, 4)

D) (0, 4), (8, 0), (4, 6)

Question 61

Complete the ordered pairs. Then graph the equation by plotting the points and drawing a line through them

-?

A)
B)
C)
D)

Question 62

Complete the ordered pairs. Then graph the equation by plotting the points and drawing a line through them

-?

A)
B)
C)
D)

Question 63

Find the intercepts for the graph of the equation.

-x + y = 4

A) (2, 0) (2, 0)
B) (4, 0) (0, 4)
C) (4, 2) (2, 4)
D) (0, 2) (0, 2)

Question 64

Find the intercepts for the graph of the equation.

-x + y = 0

A) (0, 0) (0, 0)
B) (0, - 5) (0, 5)
C) (- 5, 0) (5, 0)
D) (0, 5) ( - 5, 0)

Question 65

Find the intercepts for the graph of the equation.

-x + y = 1

A) (1, 2) (- 1, 1)
B) (0, - 1) (0, 2)
C) (1, 0) (0, 1)
D) ( - 1, 0) (2, 0)

Question 66

Find the intercepts for the graph of the equation.

-3x + y = 9

A) (0, 4) (0, - 3)
B) (3, 0) (0, 9)
C) (9, - 3) (4, 9)
D) (4, 0) ( - 3, 0)

Question 67

Find the intercepts for the graph of the equation.

-3x + y = 0

A) (0, 9) (- 3, 0)
B) (0, - 3) (0, 9)
C) (0, 0) (0, 0)
D) ( - 3, 0) (9, 0)

Question 68

Find the intercepts for the graph of the equation.

-- 3x + y = 3

A) (- 1, 0) (0, 3)
B) (3, - 3) (- 2, 3)
C) (0, - 2) (0, - 3)
D) ( - 2, 0) ( - 3, 0)

Question 69

Find the intercepts for the graph of the equation.

-- 3x + 3y = - 6

A) (2, 0) (0, - 2)
B) (0, - 1) (0, - 9)
C) (2, - 9) (- 1, - 6)
D) ( - 1, 0) ( - 9, 0)

Question 70

Find the intercepts for the graph of the equation.

-- 2x - 3y = 6

A) (- 5, 0) (- 4, 0)
B) (- 3, 0) (0, - 2)
C) (0, - 5) (0, - 4)
D) ( - 3, - 4) ( - 5, 6)

Question 71

Graph the linear equation.

-

A)

B)

C)

D)

Question 72

Graph the linear equation.

-4x - y = 0

A)

B)
C)

D)

Question 73

Graph the linear equation.

--7x + y = 0

A)
B)

C)

D)

Question 74

Graph the linear equation.

-y = 8x

A)

B)
C)

D)

Question 75

Graph the linear equation.

-x + y = 7

A)

B)

C)
D)

Question 76

Graph the linear equation.

-y = x + 6

A)
B)

C)

D)

Question 77

Graph the linear equation.

-y - 4 = x

A)

B)

C)

D)

Question 78

Graph the linear equation.

-2x - y = -4

A)

B)

C)

D)

Question 79

Graph the linear equation.

-y + 4 = 0

A)

B)

C)

D)

Question 80

Graph the linear equation.

-x = - 8

A)

B)

C)

D)