Deck 3: Graphs and Functions

Question 1

Plot each ordered pair and name the quadrant (or axis) in which the point lies.
(a) (-1, -4)
(b) (-2.5, 3)
(c) (0, 1)
(d) (-3½ , 0)

Answer 1

a. quadrant III
b. quadrant II
c. y-axis
d. x-axis

Question 2

Given that x is a positive number and y is a positive number, determine the quadrant (or axis) in which each point lies.
-(x, y)

Answer 2

quadrant I

Question 3

Given that x is a positive number and y is a positive number, determine the quadrant (or axis) in which each point lies.
-(x, -y)

Answer 3

quadrant IV

Question 4

Given that x is a positive number and y is a positive number, determine the quadrant (or axis) in which each point lies.
-(0, y)

Question 5

Given that x is a positive number and y is a positive number, determine the quadrant (or axis) in which each point lies.
-Create a scatter diagram for the given paired data.
US Imports (billions of dollars)

Question 6

Determine whether each ordered pair is a solution of the given equation.
-y = 4x-1; (-1, -5), (1, -3)

Question 7

Determine whether each ordered pair is a solution of the given equation.
-3x-2y = 6; (0, -3), (-4, -9)

Question 8

Determine whether each ordered pair is a solution of the given equation.
-y = -5; (-5, 0), (0, -5)

Question 9

Graph each linear equation
-2x-y = 4

Question 10

Graph each linear equation
-y = -x+3

Question 11

Graph each linear equation
-x = -2

Question 12

Graph each linear equation
-y = 3x

Question 13

Graph each linear equation
-x = 2y

Question 14

Graph each linear equation
-2y = x-1

Question 15

Graph each linear equation
-3y-6 = 0

Question 16

Graph each linear equation
-3x+4y = 12

Question 17

Graph each linear equation
-y = (3/2)x - 1

Question 18

Graph each linear equation
-y = (-5/2)x + 4

Question 19

Graph each linear equation
-6x-2y = 12

Question 20

Graph each linear equation
-5x+2y = -10

Question 21

Find the slope of the line containing each pair of points.
-(4, 2), (3, 1)

Question 22

Find the slope of the line containing each pair of points.
-(8, 0), (4, 2)

Question 23

Find the slope of the line containing each pair of points.
-(-1, 5), (6, 3)

Question 24

Find the slope of the line containing each pair of points.
-(-2, -7), (0, -1)

Question 25

Find the slope of the line containing each pair of points.
-

Question 26

Find the slope of the line containing each pair of points.
-

Question 27

Find the slope of the line containing each pair of points.
-A ramp to a 4-foot high platform begins at ground level 12 feet from the base of the platform. Find the slope of the ramp.

Question 28

Find the slope and y-intercept of each line
-y = 4x + 1/2

Question 29

Find the slope and y-intercept of each line
-y = -x - 2

Question 30

Find the slope and y-intercept of each line
-3x-5y = 15

Question 31

Find the slope and y-intercept of each line
-x = 4y

Question 32

Find the slope and y-intercept of each line

-Match the graph with its equation.

A) y = -x - 2
B) y = x - 2
C) y = -x + 2
D) y = x + 2

Question 33

Find the slope and the y-intercept of each line
-y = -1/2

Question 34

Find the slope and the y-intercept of each line
-2y = 3x + 1

Question 35

Find the slope and the y-intercept of each line
-x+3 = 0

Question 36

Find the slope and the y-intercept of each line
--6x - 12y = 35

Question 37

Determine whether each pair of lines is parallel, perpendicular, or neither.
-3x - 2y = 6
y = (3/2)x + 1

Question 38

Determine whether each pair of lines is parallel, perpendicular, or neither.
-2x - y = 4
y = (-1/2)x - 1

Question 39

Determine whether each pair of lines is parallel, perpendicular, or neither.
-Find the slope of a line parallel to 4x - 7y = 28

Question 40

Determine whether each pair of lines is parallel, perpendicular, or neither.
-Find the slope of a line perpendicular to -3x + 2y = 6

Question 41

Graph each line passing through the given point with the given slope.
-Through (-1, 2) with slope -1/2

Question 42

Graph each line passing through the given point with the given slope.
-Through (0, 3) with slope 1

Question 43

Graph each line passing through the given point with the given slope.
-Through (-1, 0) with slope 1/3

Question 44

Graph each line passing through the given point with the given slope.
-Through (0, 4) with slope 0

Question 45

Graph each linear equation using the slope and y-intercept
-y = -3x

Question 46

Graph each linear equation using the slope and y-intercept
-y = 2x-4

Question 47

Graph each linear equation using the slope and y-intercept
-y = (2/3)x

Question 48

Graph each linear equation using the slope and y-intercept
-y = (5/2)x - 3

Question 49

Graph each linear equation using the slope and y-intercept
-x+y = 2

Question 50

Graph each linear equation using the slope and y-intercept
-x+2y = -6

Question 51

Graph each linear equation using the slope and y-intercept
-x+2y = -4

Question 52

Graph each linear equation using the slope and y-intercept
-y = 3/2

Question 53

Use the slope-intercept form of a linear equation to write the equation of each line with the given slope and y-intercept
-Slope -2/5; y-intercept 0

Question 54

Use the slope-intercept form of a linear equation to write the equation of each line with the given slope and y-intercept
-Slope 1; y-intercept 9

Question 55

Use the slope-intercept form of a linear equation to write the equation of each line with the given slope and y-intercept
-Slope 0; y-intercept -4

Question 56

Use the slope-intercept form of a linear equation to write the equation of each line with the given slope and y-intercept
-Slope 4/5; y-intercept -1/3

Question 57

The monthly profit of a cookie factory can be estimated by the linear equation y = 0.1x - 500 . where x is the number of packages of cookies sold
-Find the monthly profit if 10,000 packages of cookies are sold.

Question 58

The monthly profit of a cookie factory can be estimated by the linear equation y = 0.1x - 500 . where x is the number of packages of cookies sold
-Find and interpret the slope of the equation.

Question 59

The monthly profit of a cookie factory can be estimated by the linear equation y = 0.1x - 500 . where x is the number of packages of cookies sold
-Find and interpret the y-intercept of the equation.

Question 60

The monthly profit of a cookie factory can be estimated by the linear equation y = 0.1x - 500 . where x is the number of packages of cookies sold
-Find the number of packages of cookies which must be sold in order to have a profit of $2,000 per month

Question 61

Write an equation of each line with the given slope and containing the given point. Write the equation in the form y = mx + b.
-Slope 5; through (-1, -6)

Question 62

Write an equation of each line with the given slope and containing the given point. Write the equation in the form y = mx + b.
-Slope -7; through (1, 5)

Question 63

Write an equation of each line with the given slope and containing the given point. Write the equation in the form y = mx + b.
-Slope 3/4; through (-4, 2)

Question 64

Write an equation of each line with the given slope and containing the given point. Write the equation in the form y = mx + b.
-Slope − 2/3 ; through (6, -7)

Question 65

Write an equation of each line with the given slope and containing the given point. Write the equation in the form y = mx + b.
-Slope − 1/2 ; through (-2, 0)

Question 66

Write an equation of the line passing through the given points. Write the equation in the form Ax + Bx = C.
-(0, 2) and (1,4)

Question 67

Write an equation of the line passing through the given points. Write the equation in the form Ax + Bx = C.
-(3, -4) and (5, -2)

Question 68

Write an equation of the line passing through the given points. Write the equation in the form Ax + Bx = C.
-(-1, 2) and (3, 0)

Question 69

Write an equation of the line passing through the given points. Write the equation in the form Ax + Bx = C.
-(-3, 5) and (-1, -1)

Question 70

Write an equation of the line passing through the given points. Write the equation in the form Ax + Bx = C.
-(1/3, 2/3) and (-4/3, -1/3)

Question 71

Write an equation of each line.
-Horizontal; through (7, 4)

Question 72

Write an equation of each line.
-Vertical; through (2, 5)

Question 73

Write an equation of each line.
-Undefined slope; through (1, -3)

Question 74

Write an equation of each line in the form x = a, y = b, or y = mx + b.
-Through (2, 7); parallel to y = 3x - 4

Question 75

Write an equation of each line in the form x = a, y = b, or y = mx + b.
-Through (-1, -5); perpendicular to y = (1/2)x + 9

Question 76

Write an equation of each line in the form x = a, y = b, or y = mx + b.
-Through (4, -3); parallel to x - 2y = 4

Question 77

Write an equation of each line in the form x = a, y = b, or y = mx + b.
-Through (6, 0); parallel to x = 4.

Question 78

Write an equation of each line in the form x = a, y = b, or y = mx + b.
-Through (-2, 3); perpendicular to y = 7.

Question 79

Chainey found that if she studied 1 hour for a history test, her score was 85. If she studied 3 hours, her score was 95
-Write a linear equation that relates her score and study time.

Question 80

Chainey found that if she studied 1 hour for a history test, her score was 85. If she studied 3 hours, her score was 95
-Predict here score if she studied 2 hours.