College Algebra

13 Sep College Algebra

Question 1 of 25 4.0/ 4.0 Points

Write the equation of the line with a slope of 15 and passing through the point (0, 0).

• A. y = 0
• B. y = 15x
• C. None of these.
• D. x = 0
• E. y = 15

Question 2 deleted

Question 3 of 25 4.0/ 4.0 Points

Write the equation in slope-intercept form, of the line passing through (7, 8) that is perpendicular to the line y = – x + 11.

The perpendicular line is  y=x+1

Question 4 of 25 0.0/ 4.0 Points

The graph of a line has a slope of 5/2 and a y-intercept of (0, 3). Rewrite the equation in standard form (Ax + By = C) with a positive x-term. A, B, and C must all be integers – not decimals or fractions!

The equation of the line in standard form is  2y – 5x = 6 .

Question 5 of 25 4.0/ 4.0 Points

Write an equation in slope-intercept form of the line passing through the points (6, 26) and (7, 30).

The equation is y =  4x + 2

Question 6 of 25 4.0/ 4.0

PointsTrue or False: The point (4, 4) is a solution to the linear inequality
x – y ≤ – 1

True 

False

Question 7 of 25 4.0/ 4.0

Points True or False:

This relation is a function:
{(-2, 1), (3, -4), (4, 2), (8, 1), (11, 9)}

True

False

Question 8 of 25 4.0/ 4.0 Points

Given the inequality: y >  5x + 7, which quadrants would be partially shaded?

• A. Quadrants I, III, and IV
• B. Quadrants II, III, and IV
• C. Quadrants I, II, and III
• D. Quadrants I, II, and IV

Question 9 of 25 4.0/ 4.0

PointsWhat is the equation of the line that passes through the point (3, 5) and has zero slope?

• A. x = 3
• B. y = 3
• C. x = 5
• D. y = 5

Funky functions
Question 10 of 25 0.0/ 4.0 Points

Find f(x + 1) when f(x) = 2x + 3

f(x + 1) =  2x+4

Question 11 of 25 0.0/ 4.0

PointsWhat is the range of the following relation: {(1, 8), (2, 6), (3, 9), (1, 6)}

• A. {8, 6, 9, 6}
• B. {6, 8, 9}
• C. {1, 2, 3, 1}
• D. {1, 2, 3}

Question 12 of 25 4.0/ 4.0 Points

The boundary of the graph of a linear inequality is either a solid or dashed line and the shaded area is either above or below the line.

Select the correct line and shading for the following inequality: y < x + 15

• A. dashed; below
• B. solid; above
• C. dashed; above
• D. solid; below

Question 13 of 250.0/ 4.0

PointsFind the equation of a line passing through the point (- 10, 1) and perpendicular to the line y = 2.

• A. x = – 10
• B. y = – 10
• C. None of these.
• D. x = 1
• E. y = 1

Question 14 of 250.0/ 4.0

PointsFind f(-15) when f(x) = – 4x + 10

• A. 70
• B. – 50
• C. 50
• D. None of these.
• E. – 70

Question 15 of 25 0.0/ 4.0

PointsWrite the equation of the line with slope = – 4 and containing the point (- 2, 5).

• A. y – 5 = mx + 2
• B. y = – 4x – 25
• C. y = – 4x – 3
• D. None of these
• E. y – 5 = x + 2

Question 16 of 25 0.0/ 4.0 Points

Write the equation of the line passing through the points (2, 3) and (- 1, 3).

• A. y = x + 3
• B. y = 0
• C. y = 3
• D. x = 3

Question 17 of 25 0.0/ 4.0 Points

All-Hands Moving charges a flat fee of $60 plus $35 per hour.

Choose an equation for the cost in dollars, y, for using All-Hands for x hours.

• A. y = 60x + 35
• B. y = 60x
• C. y = 35x
• D. None of these.
• E. y = 35x + 60

Question 18 of 25 0.0/ 4.0 Points

Use your knowledge of the process of “Writing an equation given two points” to solve the following problem:

A vendor has learned that, by pricing  his deep fried bananas on a stick at $1.50, sales will reach 110 per day.  Raising the price to $2.50 will cause the sales to fall to 70 per day.  Let y be the number of  the vendor sells at x dollars each.  Write a linear equation that models the number of  sold per day when the price is x dollars each.

The linear equation is y =   .

Question 19 of 25 0.0/ 4.0 Points

Choose the equation of a line with a slope of 3 and a y-intercept at (0, 4).

• A. y = 4x + 3
• B. y = – 3x – 4
• C. y = 3x + 4
• D. y = – 4x – 3

Question 20 of 25 0.0/ 4.0 Points

Choose the equation of the line that has an undefined slope and contains the point (9, –  2).

• A. x = 9
• B. y = – 2
• C. x = – 2
• D. y = 9

Question 21 of 25 0.0/ 4.0

PointsThe formula for converting Celsius temperature to Fahrenheit is:

F = 1.8C + 32

Find the Fahrenheit temperature when the Celsius temperature is 58 degrees.

• A. 52.6
• B. 72.4
• C. 136.4
• D. None of these.
• E. 17

Question 22 of 25 0.0/ 4.0

PointsThe cost y, in dollars, to produce graphing calculators is given by the equation y = 48x + 2500, where x is the number of calculators produced. What is the cost to produce 1100 calculators?

• A. $55,650
• B. $55,300
• C. $50,300
• D. $52,800
• E. None of these.

Question 23 of 25 0.0/ 4.0 Points

The cost (in hundreds of dollars) of tuition at the community college is given by T = 1.25c + 3, where c is the number of credits the student has registered for.

If a student is planning to take out a loan to cover the cost of 13 credits, use the model to determine how much money he should borrow.

Notice that the dollar sign is already there! Also, remember, when writing answers that involve money, it is customary to use 2 decimal places!

To pay for exactly 13 credits, the student should borrow $   .

Question 24 of 25 0.0/ 4.0 Points

The cost X, in dollars, to produce graphing calculators is given by the function C(x) = 51x + 3500, where x is the number of calculators produced. How much does it cost to produce 2300 calculators?

2300 calculators can be produced for $   .

Question 25 of 25 0.0/ 4.0 Points

The cost X, in dollars, to produce graphing calculators is given by the function C(x) = 51x + 2000, where x is the number of calculators produced. How many calculators can be produced for $104,000?

The number of calculators that can be produced is