Question 1

Consider a line with slope 1.20.What rise corresponds to a run of 4 feet? ​

Accepted Answer

A)  4.80 feet 
B)  0.30 feet 
C)  3.33 feet 
D)  5.61 feet 
A)  4.80 feet 
B)  0.30 feet 
C)  3.33 feet 
D)  5.61 feet A

Question 2

You are driving up a straight mountain road which has a slope of 58.00 feet per mile.If you are initially at an altitude of 725 feet, what is your altitude after you drive 4 horizontal miles? ​

Accepted Answer

A)  957.66 feet 
B)  787.00 feet 
C)  957.00 feet 
D)  787.27 feet 
A)  957.66 feet 
B)  787.00 feet 
C)  957.00 feet 
D)  787.27 feet C

Question 3

A line through   has slope 0.89.What is the vertical intercept? ​

Accepted Answer

A)  -2.85 
B)  2.66 
C)  2.97 
D)  -2.99 
A)  -2.85 
B)  2.66 
C)  2.97 
D)  -2.99 B

Question 4

You are driving up a straight road.You pass a sign that says Elevation 1504 feet.Also, 3 horizontal miles further you see a sign that says Elevation 2829 feet.The peak of the mountain is 7 horizontal miles from the first sign.What is the elevation of the mountain? ​

Accepted Answer

A)  8105.00 feet 
B)  4595.67 feet 
C)  8105.59 feet 
D)  4596.03 feet 
A)  8105.00 feet 
B)  4595.67 feet 
C)  8105.59 feet 
D)  4596.03 feet

Question 5

A line passes through the point   and has slope 1.28.For what y value does the point   lie on the line? ​

Accepted Answer

A)    
B)  ​   
C)  ​   
D)  ​   
A)    
B)  ​   
C)  ​   
D)  ​

Question 6

The slope of a line varies from point to point on the line.

Accepted Answer

A) True 
 B)False

Question 7

Consider a line with slope 1.70.What run corresponds to rise of 5 feet? ​

Accepted Answer

A)  8.50 feet 
B)  0.34 feet 
C)  2.94 feet 
D)  9.03 feet 
A)  8.50 feet 
B)  0.34 feet 
C)  2.94 feet 
D)  9.03 feet

Question 8

For a certain line, a run of 5 feet corresponds to a rise of 7 feet.What is the slope of this line? ​

Accepted Answer

A)  1.40 feet 
B)  0.71 feet 
C)  1.03 feet 
D)  1.53 feet 
A)  1.40 feet 
B)  0.71 feet 
C)  1.03 feet 
D)  1.53 feet

Question 9

A line through   has slope 0.38.What is the horizontal intercept? ​

Accepted Answer

A)  -9.37 
B)  3.72 
C)  3.82 
D)  -9.79 
A)  -9.37 
B)  3.72 
C)  3.82 
D)  -9.79

Question 10

The figure below shows a simplified pattern for a wrap skirt that is 20 inches long and has a top hem of 57 inches.The bottom hem has a length of 63 inches.Suppose you decide to alter the pattern to make a wrap skirt with the same top hem length but a length of 27 inches.How long should be the bottom hem?   ​

Accepted Answer

A)  65.51 inches 
B)  64.05 inches 
C)  63.17 inches 
D)  65.10 inches 
A)  65.51 inches 
B)  64.05 inches 
C)  63.17 inches 
D)  65.10 inches

Question 11

At the outside wall the roof is 10 feet high.The slope of the roof is 1.03 feet per foot.If the roof is extended beyond the outside wall, what is the height of the roof 3 horizontal feet from the outside wall toward the exterior of the room? ​

Accepted Answer

A)  13.82 feet 
B)  6.91 feet 
C)  7.84 feet 
D)  13.09 feet 
A)  13.82 feet 
B)  6.91 feet 
C)  7.84 feet 
D)  13.09 feet

Question 12

The peak of a roof is 19 feet tall.At the outside wall, 14 horizontal feet away, the roof is 8 feet tall.If the roof line were extended until it struck the ground, how many horizontal feet from the outside wall would that occur? ​

Accepted Answer

A)  10.72 feet 
B)  10.18 feet 
C)  14.00 feet 
D)  14.53 feet 
A)  10.72 feet 
B)  10.18 feet 
C)  14.00 feet 
D)  14.53 feet

Question 13

At a distance 5 miles west of town, oil-bearing deposits are found 3185 feet deep.Also, 8 miles west of town, the oil is found 3356 feet down.Assuming the oil-bearing stratum lies on a straight line, how far west of town would you expect to drill 3606 feet deep in order to find oil? ​

Accepted Answer

A)  12.39 miles 
B)  13.10 miles 
C)  10.38 miles 
D)  9.39 miles 
A)  12.39 miles 
B)  13.10 miles 
C)  10.38 miles 
D)  9.39 miles

Question 14

The slope of a line is the run over the rise.

Accepted Answer

A) True 
 B)False

Question 15

The bottom of a ladder sits on the ground 4 horizontal feet from a wall against which its top rests.The slope of the line made by the ladder is 3.37 feet per foot.What is the vertical height of the top of the ladder? (Assume that the positive direction points from the base of the ladder toward the wall.) ​

Accepted Answer

A)  8.14 feet 
B)  13.48 feet 
C)  7.37 feet 
D)  14.01 feet 
A)  8.14 feet 
B)  13.48 feet 
C)  7.37 feet 
D)  14.01 feet

Question 16

A vertical line has a slope of 0.

Accepted Answer

A) True 
 B)False

Question 17

Take west to be the positive direction.The height of a sloped roof above the place you are standing is 13 feet.If you move 5 feet to the west, the height is 7 feet.What is the slope of the roof line? ​

Accepted Answer

A)  -1.20 feet 
B)  1.20 feet 
C)  -0.63 feet 
D)  1.61 feet 
A)  -1.20 feet 
B)  1.20 feet 
C)  -0.63 feet 
D)  1.61 feet

Question 18

The rise of a line can be found by multiplying the run by the slope.

Accepted Answer

A) True 
 B)False

Question 19

At the outside wall the roof is 9 feet high.The slope of the roof is 1.28 feet per foot.What is the height of the roof 4 horizontal feet from the outside wall toward the interior of the room? ​

Accepted Answer

A)  15.06 feet 
B)  12.13 feet 
C)  12.44 feet 
D)  14.12 feet 
A)  15.06 feet 
B)  12.13 feet 
C)  12.44 feet 
D)  14.12 feet

Question 20

An ice cream cone is 4 inches deep and 2 inches across the top, as shown in the figure below.If we wanted to make a king-size cone which has the same shape but is 2.5 inches across the top, how deep would the cone be?   ​

Accepted Answer

A)  5 inches deep 
B)  4.5 inches deep 
C)  6 inches deep 
D)  5.5 inches deep 
A)  5 inches deep 
B)  4.5 inches deep 
C)  6 inches deep 
D)  5.5 inches deep

Exam 11: The Geometry of Lines

Consider a line with slope 1.20.What rise corresponds to a run of 4 feet? ​

You are driving up a straight mountain road which has a slope of 58.00 feet per mile.If you are initially at an altitude of 725 feet, what is your altitude after you drive 4 horizontal miles? ​

A line through has slope 0.89.What is the vertical intercept? ​

You are driving up a straight road.You pass a sign that says Elevation 1504 feet.Also, 3 horizontal miles further you see a sign that says Elevation 2829 feet.The peak of the mountain is 7 horizontal miles from the first sign.What is the elevation of the mountain? ​

A line passes through the point and has slope 1.28.For what y value does the point lie on the line? ​

The slope of a line varies from point to point on the line.

Consider a line with slope 1.70.What run corresponds to rise of 5 feet? ​

For a certain line, a run of 5 feet corresponds to a rise of 7 feet.What is the slope of this line? ​

A line through has slope 0.38.What is the horizontal intercept? ​

At the outside wall the roof is 10 feet high.The slope of the roof is 1.03 feet per foot.If the roof is extended beyond the outside wall, what is the height of the roof 3 horizontal feet from the outside wall toward the exterior of the room? ​

The peak of a roof is 19 feet tall.At the outside wall, 14 horizontal feet away, the roof is 8 feet tall.If the roof line were extended until it struck the ground, how many horizontal feet from the outside wall would that occur? ​

At a distance 5 miles west of town, oil-bearing deposits are found 3185 feet deep.Also, 8 miles west of town, the oil is found 3356 feet down.Assuming the oil-bearing stratum lies on a straight line, how far west of town would you expect to drill 3606 feet deep in order to find oil? ​

The slope of a line is the run over the rise.

A vertical line has a slope of 0.

Take west to be the positive direction.The height of a sloped roof above the place you are standing is 13 feet.If you move 5 feet to the west, the height is 7 feet.What is the slope of the roof line? ​

The rise of a line can be found by multiplying the run by the slope.

At the outside wall the roof is 9 feet high.The slope of the roof is 1.28 feet per foot.What is the height of the roof 4 horizontal feet from the outside wall toward the interior of the room? ​

An ice cream cone is 4 inches deep and 2 inches across the top, as shown in the figure below.If we wanted to make a king-size cone which has the same shape but is 2.5 inches across the top, how deep would the cone be? ​

Functions Given by Formulas

Functions Given by TableChas

Functions Given by Graphs

Functions Given by Words

Table and Trends

Graphs

Solving Linear Equations

Solving Nonlinear Equations

Inequalities

Optimization

Linear Functions

Modeling Data with Linear Functions

Linear Regression

Systems of Equations

Exponential Growth and Decay

Constant Percentage Change

Modeling Exponential Data

Modeling Nearly Exponential Data

Logarithmic Functions

Logistic Functions

Power Functions

Modeling Data with Power Functions

Combining and Decomposing Functions

Quadratic Functions

Higher Degree Polynomials and Rational Functions

Velocity

Rates of Change for Other Functions

Estimating Rates of Change

Equations of Change Linear and Exponential Functions

Equations of Change Graphical Solutions

Filters

Consider a line with slope 1.20.What rise corresponds to a run of 4 feet?

You are driving up a straight mountain road which has a slope of 58.00 feet per mile.If you are initially at an altitude of 725 feet, what is your altitude after you drive 4 horizontal miles?

A line through has slope 0.89.What is the vertical intercept?

You are driving up a straight road.You pass a sign that says Elevation 1504 feet.Also, 3 horizontal miles further you see a sign that says Elevation 2829 feet.The peak of the mountain is 7 horizontal miles from the first sign.What is the elevation of the mountain?

A line passes through the point and has slope 1.28.For what y value does the point lie on the line?

Consider a line with slope 1.70.What run corresponds to rise of 5 feet?

For a certain line, a run of 5 feet corresponds to a rise of 7 feet.What is the slope of this line?

A line through has slope 0.38.What is the horizontal intercept?

At the outside wall the roof is 10 feet high.The slope of the roof is 1.03 feet per foot.If the roof is extended beyond the outside wall, what is the height of the roof 3 horizontal feet from the outside wall toward the exterior of the room?

The peak of a roof is 19 feet tall.At the outside wall, 14 horizontal feet away, the roof is 8 feet tall.If the roof line were extended until it struck the ground, how many horizontal feet from the outside wall would that occur?

At a distance 5 miles west of town, oil-bearing deposits are found 3185 feet deep.Also, 8 miles west of town, the oil is found 3356 feet down.Assuming the oil-bearing stratum lies on a straight line, how far west of town would you expect to drill 3606 feet deep in order to find oil?

Take west to be the positive direction.The height of a sloped roof above the place you are standing is 13 feet.If you move 5 feet to the west, the height is 7 feet.What is the slope of the roof line?

At the outside wall the roof is 9 feet high.The slope of the roof is 1.28 feet per foot.What is the height of the roof 4 horizontal feet from the outside wall toward the interior of the room?

An ice cream cone is 4 inches deep and 2 inches across the top, as shown in the figure below.If we wanted to make a king-size cone which has the same shape but is 2.5 inches across the top, how deep would the cone be?