Deck 3: Graphs; Equations of Lines; Functions; Variation

Question 1

The charges for renting a video are shown in the graph. Find the charge if the video is kept for 6 days.

A) $5
B) $9
C) $6
D) $8
E) $7

Answer 1

$8

Question 2

The graph below gives the heart rate of a woman before, during and after an aerobic workout. Is it true that her heart rate 15 minutes after beginning her workout was 150?

Answer 2

True

Question 3

Graph the linear equation.

A)
B)
C)
D)
E)

Answer 3

Question 4

The ordered pair (3, -4) satisfies the equation y = 3 x + 5.

Question 5

The graph below shows how the path of a stream of water changes when the hose is held at two different angles. The stream shot up higher at the angle.

Question 6

The graph shown gives the first-class postage rates in the year 1999 for mailing items weighing up to 5 ounces. According to the graph, which of the statements is incorrect? Weight (oz) and Postage Rate (cents)

A) The postage cost for mailing a 2-ounce letter is 55 cents .
B) The heaviest letter that could be mailed for 80 cents first class weighs 2 ounces.
C) The postage cost for mailing a 1-ounce letter is 33 cents.
D) The difference in postage for a 3.16-ounce letter and a 4.37-ounce letter is 20 cents .
E) The postage cost for mailing a 4-ounce letter is $1.00.

Question 7

Graph the equation.

A)
B)
C)
D)
E)

Question 8

The graph below gives the heart rate of a woman before, during, and after an aerobic workout. Use the graph to answer the question. What was her heart rate before beginning the workout? __________ beats/min

Question 9

Refer to the line graph. In approximately what year did miners begin to earn more than construction workers?

A) in 1984
B) in 1982
C) in 1988
D) in 1985
E) in 1990

Question 10

The charges for renting a CD are shown in the graph. Find the charge if the CD is kept for 7 days.

A) $7
B) $6
C) $3
D) $5
E) $4

Question 11

Graph the equation using the intercept method. Label the intercepts on the graph.

A)
B)
C)
D)
E)

Question 12

Complete the table.

A)
B)
C)
D)

Question 13

To correct her swing, a golfer is videotaped and then has her image displayed on a computer monitor so that it can be analyzed by a golf pro. Refer to the illustration to find the y -coordinate of the highlighted point where the x -coordinate is -7. __________ units

Question 14

Graph the equation using the intercept method. Label the intercepts on the graph.

A)
B)
C)
D)
E)

Question 15

The cost ( c ) of playing an online computer game for a time ( t ) in hours is given by the equation c = 3 t + 5. Label the horizontal axis t and the vertical axis c , and graph the equation for nonnegative values of t .

A)
B)
C)
D)
E)

Question 16

Graph the equation using the intercept method. Label the intercepts on the graph.

A)
B)
C)
D)
E)

Question 17

The equation can be used to convert from degrees in Celsius to degrees in Fahrenheit. Identify the graph of the equation.

A)
B)
C)
D)
E)

Question 18

Refer to the line graph. At what times (A, B, C or D) do you find the following conditions: runner 1 stopped and runner 2 running?

A) A and B
B) A and C
C) A only
D) A and D
E) D and B

Question 19

Scoliosis is a lateral curvature of the spine that can be more easily detected when a grid is superimposed over an X ray. Select the ordered pair that is not one of the "center points" of the labeled vertebrae. Note that T3 means the third thoracic vertebra, L4 means the fourth lumbar vertebra, and so on.

A)
B)
C) (3,10)
D) (3,16)
E) (0,0)

Question 20

Graph the equation.

A)
B)
C)
D)
E)

Question 21

Find the slope of the line by finding the coordinates of two points on it. 10 x + 7 y = 1

A)
B)
C)
D)
E)

Question 22

Find the slope of the line determined by this pair of points. (1, 3), (6, 6)

A)
B)
C)
D)
E)

Question 23

The grade of a highway up a hill is 26%. How much change in horizontal distance is there if the vertical height of the hill is 600 feet? Express the answer to the nearest foot.

A) 2,327 ft
B) 2,308 ft
C) 2,208 ft
D) 2,318 ft
E) 2,283 ft

Question 24

Graph the line that passes through the given point and has the given slope.

A)
B)
C)
D)
E)

Question 25

Find the slope of the line determined by this pair of points.

A)
B)
C)
D)
E) undefined

Question 26

Tell whether the graphs of the following pair of equations are parallel, perpendicular, or neither.

A) neither
B) parallel
C) perpendicular

Question 27

Tell whether the lines with the given slopes are parallel, perpendicular, or neither.

A) perpendicular
B) parallel
C) neither

Question 28

Find the slope of the line determined by this pair of points. (1.7, 5.7), (11.7, 14.7)

A)
B)
C)
D)
E)

Question 29

Find the equation of the line that contains the given point and has the given slope.

A) x = 8
B) y = 8
C) x = -4
D) y = -4
E) y = -8

Question 30

If the rise of the roof shown in the illustration is 5 feet, and the run is 9 feet, find the pitch of the roof.

A)
B) 45
C)
D) 14
E)

Question 31

Find the slope of the line determined by the equation.

A)
B)
C)
D)
E)

Question 32

Find the equation of the line that contains the given point and has the given slope.

A)
B)
C)
D)
E)

Question 33

Find the slope of the line passing through the given points: A (16, 4); B (16, 9)

A)
B)
C)
D)
E) m = undefined

Question 34

Find the slope of the line determined by this pair of points. (1, -6), (9, -6) slope = __________

Question 35

For the following pair of equations, predict whether they represent parallel lines, perpendicular lines, or lines that intersect but are not perpendicular. 3.8 x + 1.1 y = 8.1 and 1.1 x - 3.8 y = 1.2

A) parallel lines
B) lines that intersect but are not perpendicular
C) perpendicular lines

Question 36

If the ratio of rise to run is to be for some stairs and the measure of the run is 24 centimeters, find the measure of the rise to the nearest centimeter.

A) 88 cm
B) 6 cm
C) 7 cm
D) 17 cm
E) 22 cm

Question 37

Find the slope of the line.

A) - 8
B) undefined
C) 16
D) 8
E) 0

Question 38

Find the slope of the line.

A)
B)
C)
D)
E) none of these

Question 39

Find the slope of the line by finding the coordinates of two points on it. y = 2 x

A)
B)
C)
D)
E)

Question 40

Find the slope of a vertical line. Enter the value (as a whole number or simplified fraction). If the slope is undefined, enter undefined. m = __________

Question 41

Find the slope m and the y -intercept of the line y = -3.575 + 3.7182 x

A) m = 3.7182, y int = -3.575
B) m = -3.575; y int = 3.7182
C) m = -3.7182, y int = -3.575
D) m = 3.7182, y int = 0

Question 42

Graph a line given the point-slope form of an equation.

A)
B)
C)
D)

Question 43

Find the slope and the y -intercept of the line of the equation. y = -0.00008 x 0.0001

Question 44

Use point-slope form to write an equation of the given line. Solve each equation for .

A)
B)
C)
D)

Question 45

Find the equation of the line that contains the two given points.

A) 3 y + 7 x = -26
B) 7 x - 3 y = -26
C) 3 y - 7 x = -26
D) 3 y - 7 x = 44
E) 3 y + 7 x = 44

Question 46

Find the slope and the y -intercept of the line determined by the given equation.

A) slope: ; y -intercept:
B) slope: ; y -intercept:
C) slope: ; y -intercept:
D) slope: ; y -intercept:
E) slope: ; y -intercept:

Question 47

Graph a line given the point-slope form of an equation.

A)
B)
C)
D)

Question 48

Use point-slope form to write an equation of the given line. Solve each equation for .

A)
B)
C)
D)

Question 49

Find the equation of the line that contains the two given points. Express the equation in the form , where A , B , and C are integers.

Question 50

Graph a line given the point-slope form of an equation.

A)
B)
C)
D)

Question 51

If the ratio of rise to run is to be for some stairs and the measure of the run is 29 centimeters, find the measure of the rise to the nearest centimeter.

A) 160 cm
B) 4 cm
C) 5 cm
D) 15 cm
E) 20 cm

Question 52

Find the equation of the line that contains the given point and has the given slope. Express equation in the form , where A , B , and C are integers.

Question 53

Determine which of the ordered pairs satisfy the given equation and then graph the equation by plotting the points that satisfy the equation.

A)
B)
C)
D)
E)

Question 54

Find the equation of the line that contains the two given points.

A) 4 y + 11 x = -44
B) 4 y + 11 x = 44
C) 4 y - 11 x = -11
D) 4 y - 11 x = -44
E) 4 y - 11 x = 44

Question 55

Find the equation of the line that contains the given point and has the given slope. Express equation in the form , where A , B , and C are integers.

Question 56

Find the equation of the line that contains the given point and has the given slope.

A) x = 6
B) y = 6
C) x = -8
D) y = -8
E) y = -6

Question 57

Find the equation of the line that contains the given point and has the given slope.

A)
B)
C)
D)
E)

Question 58

The grade of a highway up a hill is 70%. How much change in horizontal distance is there if the vertical height of the hill is 200 feet? Express the answer to the nearest foot.

A) 305 ft
B) 286 ft
C) 186 ft
D) 296 ft
E) 261 ft

Question 59

Use point-slope form to write an equation of the given line. Solve each equation for .

A)
B)
C)
D)

Question 60

Graph a linear equation using the slope and -intercept.

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

Question 61

Graph a linear equation using the slope and -intercept.

A)
B)
C)
D)

Question 62

Graph a linear equation using the slope and -intercept.

A)
B)
C)
D)

Question 63

Tell whether the equation determines y to be a function of x . y = 8.5 x + 10

A) no
B) yes

Question 64

Tell whether the equation determines y to be a function of x .

A) no
B) yes

Question 65

If you have the following function, f ( x ) = - x ² - 6 x + 4, compute f (3), f (-1), f (7), f (-5).

A) f (3) = -3, f (-1) = 14, f (7) = 13, f (-5) = 62
B) f (3) = -5, f (-1) = 11, f (7) = 11, f (-5) = 59
C) f (3) = -2, f (-1) = 13, f (7) = 14, f (-5) = 61
D) f (3) = -4, f (-1) = 12, f (7) = 12, f (-5) = 60
E) f (3) = -6, f (-1) = 9, f (7) = 9, f (-5) = 58

Question 66

If you have the following function, f ( x ) = -9| x | + 5, compute f (4), f (-2), f (9), f (-7)

A) f (4) = -31, f (-2) = -13, f (9) = -76, f (-7) = -58
B) f (4) = -30, f (-2) = -14, f (9) = -75, f (-7) = -59
C) f (4) = -30, f (-2) = -11, f (9) = -77, f (-7) = -56
D) f (4) = -28, f (-2) = -15, f (9) = -73, f (-7) = -60
E) f (4) = 31, f (-2) = 13, f (9) = 76, f (-7) = 58

Question 67

The grade of a highway up a hill is 76%. How much change in horizontal distance is there if the vertical height of the hill is 550 feet? Express the answer to the nearest foot.

A) 743 ft
B) 724 ft
C) 624 ft
D) 734 ft
E) 699 ft

Question 68

Tell whether the graphs of the following pair of equations are parallel , perpendicular , or neither .

A) neither
B) parallel
C) perpendicular

Question 69

Specify the domain for the relation. {( x , y ) | 4 y - 2 x = 20}

A)
B)
C)
D)
E)

Question 70

For the following pair of equations, predict whether they represent parallel lines, perpendicular lines, or lines that intersect but are not perpendicular. 4.9 x + 2.1 y = 5.4 and 2.1 x - 4.9 y = 8.7

A) parallel lines
B) lines that intersect but are not perpendicular
C) perpendicular lines

Question 71

Find an equation of the line that passes through the given point and is parallel to the given line. Write the equation in slope-intercept form.

A)
B)
C)
D)
E)

Question 72

Tell whether the equation determines y to be a function of x .

A) no
B) yes

Question 73

Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. contains the point (1, 4) and is parallel to the line x -8 y = 1

A) x -8 y = -31
B) -8 x - y = -12
C) -8 x --9 y = -12
D) x -8 y = 1
E) -8 x - y = 31

Question 74

Since 1990, when the average monthly price for basic cable TV programming in one country was $15.91, the cost has risen by about $1.22 a year. Write an equation in slope-intercept form to predict cable TV costs in the future. Use t to represent time in years after 1990 and C to represent the average basic monthly cost.

A)
B)
C)
D)
E)

Question 75

Specify the domain for the relation. { ( x , y ) | 9 x ² = 5 y ³ }

A)
B)
C)
D)
E)

Question 76

If you have the following function f ( x ) = 2 x + 7, compute f (0), f (-4), f (5), f (-9).

A) f (0) = 10, f (-4) = -3, f (5) = 20, f (-9) = -13
B) f (0) = 7, f (-4) = -1, f (5) = 17, f (-9) = -11
C) f (0) = 6, f (-4) = -0, f (5) = 16, f (-9) = -10
D) f (0) = 8, f (-4) = -2, f (5) = 18, f (-9) = -12
E) f (0) = -7, f (-4) = 1, f (5) = - 17, f (-9) = 11

Question 77

Tell whether the lines with the given slopes are parallel, perpendicular, or neither.

A) neither
B) parallel
C) perpendicular

Question 78

Specify the range for the relation. {(3, 2), (5, 7), (13, 10), (16, 19)}

A) R = {3, 5, 13, 16}
B) R = {2, 19}
C) R = {2, 7, 10, 19}
D) R = {3, 5, 13, 16, 2, 7, 10, 19}
E) R = {3, 16}

Question 79

Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. contains the point (-1, 9) and is perpendicular to the line 8 x - 7 y = -4

A) 7 x + 8 y = 65
B) 7 x + 8 y = -79
C) 7 x - 8 y = 65
D) x + 8 y = -79
E) 7 x - 8 y = -79

Question 80

In the problem described below, assume that the relationship can be expressed as a linear equation in two variables, and use the given information to determine the equation. Express the equation in slope-intercept form. A new diet fad claims that a person weighing 170 pounds should consume 1,420 daily calories and that a 210-pound person should consume 1,600 calories. Let y represent the calories and x the weight of the person in pounds.

A)
B)
C)
D)
E)