Deck 5: Coordinate Geometry and Linear Systems

Question 1

The system of associating points with ordered pairs of numbers is called the rectangular coordinate system.

Answer 1

True

Question 2

Determine which of the ordered pairs satisfy the given equation and then graph the equation by plotting the points that satisfy the equation. $y = \frac { 3 } { 5 } x - \frac { 1 } { 5 } ; \left( 1 , \frac { 2 } { 5 } \right) , \left( - 3 , \frac { 1 } { 5 } \right) , \left( - 1 , - \frac { 4 } { 5 } \right) , \left( 2 , \frac { 1 } { 5 } \right) , ( - 3 , - 2 )$

A)
B)
C)
D)
E)

Answer 2

Question 3

Graph of what equation is represented on the figure?

A) $y = \frac { 1 } { 2 } x + 4$
B) $y = x + 4$
C) $y = x + 5$
D) $y = \frac { 1 } { 2 } x + 5$

Answer 3

$y = \frac { 1 } { 2 } x + 5$

Question 4

Determine which of the ordered pairs satisfy the given equation and then graph the equation by plotting the points that satisfy the equation. $y = - x + 4 ; ( 1,3 ) , ( 0,4 ) , ( 2 , - 6 ) , ( - 2,6 ) , ( - 1,5 )$

A)
B)
C)
D)
E)

Question 5

Solve the given equation for the variable indicated. 6 x $-$ 3 y = $-$ 10 for y

A) $y = \frac { 6 x + 10 } { 6 }$
B) $y = \frac { x + 10 } { 3 }$
C) $y = \frac { 6 x + 10 } { 3 }$

Question 6

Solve the given equation for the variable indicated. $-$ x + 5 y = 4 for y

A) $y = \frac { 4 + x } { 5 }$
B) $y = \frac { 5 + x } { 5 }$
C) $y = \frac { 5 + x } { 4 }$

Question 7

Quadrants are named with Roman numerals and numbered counter-clockwise.

Question 8

Graph of what equation is represented on the figure?

A) $y = x ^ { 2 } + 2$
B) $y = x ^ { 2 } - 4$
C) $y = x ^ { 2 } + 4$
D) $y = x ^ { 2 } - 2$
E) $y = x ^ { 2 } - 3$

Question 9

Chase is studying the monthly percent changes in the stock price for two different companies. Using the data in the table below, plot the points for each month. Let the percent change for XM Inc. be the first number of the ordered pair, and let the percent change for Icom be the second number in the ordered pair. Jan. Feb. Mar. Apr. May Jun. XM Inc. $3$ $- 3$ $- 3$ $5$ $- 1$ 0 Icom $- 2$ $5$ $2$ $- 6$ $- 1$ $1$

A)
B)
C)
D)
E)

Question 10

David is studying the monthly percent changes in the corn prices for two different markets. Using the data in the table below, plot the points for each month. Let the percent change for BMF be the first number of the ordered pair, and let the percent change for ELCM be the second number in the ordered pair. Jan. Feb. Mar. Apr. May. Jun. BMF $1$ $- 2$ $- 1$ $4$ $- 3$ $0$ ELCM $- 3$ $4$ $1$ $- 2$ $- 5$ $5$

A)
B)
C)
D)
E)

Question 11

The abscissa is the directed distance of the point from the horizontal axis measured parallel to the vertical axis.

Question 12

Solve the given equation for the variable indicated. $-$ x $-$ y = 1 for x

A) $x = - 1 + y$
B) $x = 1 + y$
C) $x = - 1 - y$

Question 13

Solve the given equation for the variable indicated. $-$ 6 x $-$ y = 8 for y

A) $y = - 8 - 6 x$
B) $y = - 8 + 6 x$
C) $y = - 9 - 6 x$

Question 14

Solve the given equation for the variable indicated. $-$ 9 x + y = 9 for x

A) $x = \frac { - 9 + y } { 9 }$
B) $x = \frac { - 10 + y } { 9 }$
C) $x = \frac { - 9 + y } { 10 }$

Question 15

Plot the points on a rectangular coordinate system, and determine if the points fall in a straight line. $( - 1,4 ) , ( - 4,1 ) , ( - 5,0 ) , ( - 6 , - 1 )$

A) Yes
B) No
C) Yes
D) No

Question 16

Plot the points on a rectangular coordinate system, and determine if the points fall in a straight line. $( 0,1 ) , ( - 2,5 ) , ( 2 , - 5 )$

A) Yes
B) No
C) No
D) Yes
E) No

Question 17

Solve the given equation for the variable indicated. 3 x + 8 y = 11 for y

A) $y = \frac { 11 - 3 x } { 8 }$
B) $y = \frac { 12 - 3 x } { 9 }$
C) $y = \frac { 11 - 8 x } { 3 }$

Question 18

The signs of the ordered pair in Quadrant II is $( + , - )$ .

Question 19

Solve the given equation for the variable indicated. x $-$ 9 y = 11 for x

A) $x = 9 + 11 y$
B) $x = 12 + 9 y$
C) $x = 11 + 9 y$

Question 20

Determine which of the ordered pairs satisfy the given equation and then graph the equation by plotting the points that satisfy the equation. $y = \frac { 4 } { 3 } x ; ( 1,2 ) , ( - 3 , - 4 ) , ( 0,0 ) , ( 3,5 ) , ( - 6 , - 5 )$

A)
B)
C)
D)
E)

Question 21

Match the equations with their graphs.

-

A) $y = x ^ { 2 } + 7$
B) $y = x ^ { 2 } - 7$

Question 22

Match the equations with their graphs.

-

A) $y = x ^ { 2 } + 7$
B) $y = x ^ { 2 } - 7$

Question 23

Solve the given equation for the variable indicated. 3 x y = 2 for y

Question 24

Graph of what equation is represented on the figure?

A) $y = - x$
B) $y = x + 4$
C) $y = x$

Question 25

Match the equations with their graphs.

-

A) $y = \frac { 1 } { 3 } x + 3$
B) $y = \frac { 1 } { 3 } x + 2$
C) $y = x + 3$

Question 26

Solve the given equation for the variable indicated. x 2 y = 6 for x

Question 27

Solve the given equation for the variable indicated. 7 x + y = 4 for x

Question 28

Solve the given equation for the variable indicated. 7 x + 8 y = 1 for x

Question 29

Graph of what equation is represented on the figure?

A) $y = - 5 x ^ { 3 }$
B) $y = 5 x ^ { 2 }$
C) $y = - 5 x ^ { 2 }$
D) $y = 5 x ^ { 3 }$

Question 30

Solve the given equation for the variable indicated. x + 3 y = 17 for x

Question 31

Graph of what equation is represented on the figure?

A) $y = - 2 x ^ { 2 }$
B) $y = 2 x ^ { 2 }$
C) $y = 2 x ^ { 3 }$

Question 32

Solve the given equation for the variable indicated. x y = 2 for x

Question 33

Graph of what equation is represented on the figure?

A) $y = - 3 x + 2$
B) $y = 3 x + 2$
C) $y = - 3 x - 2$

Question 34

Graph of what equation is represented on the figure?

A) $x - 3 y = 6$
B) $3 y - x = 6$
C) $x + 3 y = 6$

Question 35

Graph of what equation is represented on the figure?

A) $3 x + 5 y = 10$
B) $- 3 x - 5 y = 10$
C) $3 x - 5 y = 10$

Question 36

Graph of what equation is represented on the figure?

A) $y = - 4 x ^ { 2 }$
B) $y = 4 x ^ { 2 }$

Question 37

Match the equations with their graphs.

-

A) $y = \frac { 1 } { 3 } x + 3$
B) $y = \frac { 1 } { 3 } x + 2$
C) $y = x + 3$

Question 38

Match the equations with their graphs.

-

A) $y = \frac { 1 } { 3 } x + 3$
B) $y = \frac { 1 } { 3 } x + 2$
C) $y = x + 3$

Question 39

Solve the given equation for the variable indicated. 2 x 3 y = 4 for y

Question 40

Match the equations with their graphs.

-

A) $x + 3 y = 6$
B) $x + 3 y = 12$
C) $x + 2 y = 2$

Question 41

Match the equations with their graphs.

-

A) $y = x$
B) $y = - x$
C) $y = x + 5$

Question 42

Match the equations with their graphs.

-

A) $y = - x ^ { 3 }$
B) $y = - x ^ { 2 }$
C) $y = 4 x ^ { 3 }$

Question 43

Match the equations with their graphs.

-

A) $x + 3 y = 6$
B) $x + 3 y = 12$
C) $x + 2 y = 2$

Question 44

Match the equations with their graphs.

-

A) $y = 2 x ^ { 2 }$
B) $y = - 2 x ^ { 2 }$

Question 45

Match the equations with their graphs.

-

A) $3 x - 5 y = 12$
B) $5 x - 3 y = 12$
C) $3 x + 5 y = 12$

Question 46

Match the equations with their graphs.

-

A) $x + 3 y = 6$
B) $x + 3 y = 12$
C) $x + 2 y = 2$

Question 47

Match the equations with their graphs.

-

A) $y = - 4 x + 2$
B) $y = - 4 x - 2$
C) $y = 4 x + 2$

Question 48

Match the equations with their graphs.

-

A) $y = - 4 x + 2$
B) $y = - 4 x - 2$
C) $y = 4 x + 2$

Question 49

Match the equations with their graphs.

-

A) $y = 2 x ^ { 2 }$
B) $y = - 2 x ^ { 2 }$

Question 50

Match the equations with their graphs.

-

A) $3 x - 5 y = 12$
B) $5 x - 3 y = 12$
C) $3 x + 5 y = 12$

Question 51

Match the equations with their graphs.

-

A) $y = x$
B) $y = - x$
C) $y = x + 5$

Question 52

Match the equations with their graphs.

-

A) $y = x$
B) $y = - x$
C) $y = x + 5$

Question 53

Determining three points is necessary to graph a straight line.

Question 54

Match the equations with their graphs.

-

A) $3 x - 5 y = 12$
B) $5 x - 3 y = 12$
C) $3 x + 5 y = 12$

Question 55

Match the equations with their graphs.

-

A) $y = x ^ { 3 }$
B) $y = - 2 x ^ { 2 }$
C) $y = 3 x ^ { 2 }$

Question 56

Match the equations with their graphs.

-

A) $y = x ^ { 3 }$
B) $y = - 2 x ^ { 2 }$
C) $y = 3 x ^ { 2 }$

Question 57

Match the equations with their graphs.

-

A) $y = x ^ { 3 }$
B) $y = - 2 x ^ { 2 }$
C) $y = 3 x ^ { 2 }$

Question 58

Match the equations with their graphs.

-

A) $y = - 4 x + 2$
B) $y = - 4 x - 2$
C) $y = 4 x + 2$

Question 59

Match the equations with their graphs.

-

A) $y = - x ^ { 3 }$
B) $y = - x ^ { 2 }$
C) $y = 4 x ^ { 3 }$

Question 60

Match the equations with their graphs.

-

A) $y = - x ^ { 3 }$
B) $y = - x ^ { 2 }$
C) $y = 4 x ^ { 3 }$

Question 61

Graph the linear equation. $x = - 3$

A)
B)
C)
D)
E)

Question 62

Find the equation for the graph.

A) y $-$ x = 12
B) x $-$ y = 6
C) x + y = 6
D) none of these

Question 63

Graph the linear equation. $y = \frac { 1 } { 4 } x + 4$

A)
B)
C)
D)
E)

Question 64

The ordinate of the point $( 0 , b )$ is the y intercept.

Question 65

Find the equation for the graph.

A) $y = \frac { 1 } { 2 } x - 1$
B) $y = - \frac { 1 } { 2 } x - 1$
C) $y = - \frac { 1 } { 2 } x + 1$
D) none of these

Question 66

The coordinate axes do not have to be labeled x axis and y axis.

Question 67

Find the equation for the graph.

A) y = $-$ 4 x $-$ 1
B) y = 4 x $-$ 1
C) y = $-$ 4 x + 1
D) none of these

Question 68

Graph the linear equation. $y = - 4$

A)
B)
C)
D)
E)

Question 69

Graph the linear equation. $x = 3 y$

A)
B)
C)
D)
E)

Question 70

Graph the linear equation. $- x + y = 5$

A)
B)
C)
D)
E)

Question 71

Graph the linear equation. $y = - \frac { 1 } { 2 } x - 1$

A)
B)
C)
D)
E)

Question 72

Graph the linear equation. $y = - 2 x - 3$

A)
B)
C)
D)
E)

Question 73

Find the equation for the graph.

A) x - y = 0
B) x $-$ y = 1
C) x + y = 0
D) none of these

Question 74

Graph the linear equation. $y = - 5 x$

A)
B)
C)
D)
E)

Question 75

The graph of $y = 2 x$ is a parabola.

Question 76

Graph the linear equation. $2 y + 3 x = 0$

A)
B)
C)
D)
E)

Question 77

Graph the linear equation. $- 2 x + y = - 4$

A)
B)
C)
D)
E)

Question 78

Graph the linear equation. $2 x - y = 6$

A)
B)
C)
D)
E)

Question 79

Graph the linear equation. $x - 4 y = 0$

A)
B)
C)
D)
E)

Question 80

Graph the linear equation. $3 x + y = 4$

A)
B)
C)
D)
E)