SAT (Heart of Algebra)

A builder uses the function g defined by g (x) = 80x + 10,000 to estimate the cost g(x), in dollars, to build a one-story home of planned floor area of x square feet. If the builder estimates that the cost to build a certain one-story home is $106,000, what is the planned floor area, in square feet, of the home?

• 272

• 136

• 144

• 16

A small raindrop measuring 1.2 mm in diameter has a terminal velocity of 10.22 miles per hour. A large raindrop measuring 5.0 mm in diameter has a terminal velocity of 20.1 miles per hour. If there is a linear relationship between the diameter of a raindrop and its terminal velocity, what is the terminal velocity (in miles per hour) of a raindrop measuring 3.0 mm in diameter?

• 17.7

• 14.9

• 11.4

• 7.6

• 68

• 2

• 48

• 4

2y + 6x = 3

y + 3x = 2

How many solutions (x, y) does the given system of equations have?

• Zero

• Exactly One

• Exactly Two

• Infinitely Many

A printing company charges $0.20 per page printed with black ink and $0.50 per page printed in color. The company also charges an additional fixed price for the

cost of printing the title and cover pages. The cost of printing a book, P, can be expressed as P = 3.5 + 0.5x + 0.2y . If a discount of m% is applied to the entire order, which equation represents the total cost of the order?

3s - 2t = a

-15s + bt = -7

n the system of equations above, a and b are constants. If the system has infinitely many solutions, what is the value of a?

A voter registration drive was held in Town Y. The number of voters, V, registered T days after the drive began can be estimated by the equation V = 3,450 + 65T. What is the best interpretation of the number 65 in this context?

• The number of registered voters at the beginning of the registration drive

• The number of registered voters at the end of the registration drive

• The total number of voters registered during the drive

• The number of voters registered each day during the drive

Maizah bought a pair of pants and a briefcase at a department store. The sum of the prices of the pants and the briefcase before sales tax was $130.00. There was no sales tax on the pants and a 9% sales tax on the briefcase. The total Maizah paid, including the sales tax, was $136.75. What was the price, in dollars, of the pants?

The graph above displays the total cost, C, in dollars, of renting a beach chair for h hours. Which of the following show the relationship between h and C?

• C = -2h +20

• C = 2h + 20

• C = 2h

• h = 40c