Question 1

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

Accepted Answer

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

Question 2

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

Accepted Answer

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 3

The pressure of a certain amount of gas is directly proportional to the temperature (measured in degrees Kelvin) and inversely proportional to the volume. A sample of gas at a pressure of 1 atmosphere occupies a volume of 1 cubic meter at a temperature of 277 Kelvin. When heated, the gas expands to twice its volume, but the pressure remains constant. To what temperature is it heated?

Accepted Answer

A)  569 Kelvin 
B)  554 Kelvin 
C)  590 Kelvin 
D)  632 Kelvin 
E)  533 Kelvin

Question 4

Express the sentence as a formula. B varies directly with m and inversely with n .

Accepted Answer

The answer of Express the sentence as a formula. B...

Question 5

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 = __________

Accepted Answer

The answer of Find the slope of a vertical line....

Question 6

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.

Accepted Answer

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

Question 7

Express the formula in words. k is the constant of variation.

Accepted Answer

A)  L varies directly with  and inversely with m . 
B)  L varies inversely with m and directly with  . 
C)  L varies directly with m and inversely with  . 
D)  none of these.

Question 8

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

Accepted Answer

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

Question 9

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

Accepted Answer

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 10

Graph the function and find its domain and range. f ( x ) = -2| x | + 5

Accepted Answer

A)   D = (-∞, ∞), R = (-5, ∞) 
B)   D = (-∞, ∞), R = (-∞, 5) 
C)   D = (-∞, ∞), R = (-∞, 5) 
D)   D = (-∞, ∞), R = (-∞, 5)

Question 11

The distance that a bus can go without refueling varies directly with the number of gallons of gasoline in the tank. If the bus can go 247 miles on a full tank of gas (13 gallons), how far can it go on 8 gallons of gas?

Accepted Answer

A)  152 miles 
B)  161 miles 
C)  133 miles 
D)  157 miles 
E)  none of these

Question 12

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

Accepted Answer

A)  neither 
B)  parallel 
C)  perpendicular

Question 13

Find the slope of the line.

Accepted Answer

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

Question 14

True or false? The indicated graph does not represent a function of x .

Accepted Answer

A) True 
 B)False

Question 15

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?

Accepted Answer

A) True 
 B)False

Question 16

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

Accepted Answer

A)   
B)   
C)   
D)   
E)  undefined

Question 17

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

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 18

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

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 19

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

Accepted Answer

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

Question 20

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

Accepted Answer

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

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

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

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

Express the sentence as a formula. B varies directly with m and inversely with n .

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 = __________

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.

Express the formula in words. k is the constant of variation.

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

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

Graph the function and find its domain and range. f ( x ) = -2| x | + 5

The distance that a bus can go without refueling varies directly with the number of gallons of gasoline in the tank. If the bus can go 247 miles on a full tank of gas (13 gallons) , how far can it go on 8 gallons of gas?

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

Find the slope of the line.

True or false? The indicated graph does not represent a function of x .

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?

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

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

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

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

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