Sat Heart of Algebra

The table above shows shipping charges for an online retailer that sells used textbooks. There is a linear relationship between the shipping charge and the weight of the merchandise. Write a function in slope-intercept form that relates y, the shipping charge in dollars, and x, the merchandise weight in pounds.

• y = 1.50x

• x = 1.50y + 9.80

• y = 1.50x + 8.99

• y = -1.50x + 8.99

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?

• 68

• 2

• 48

• 4

y + 3x = 2

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

• Zero

• Exactly One

• Exactly Two

• Infinitely Many

What is the value of y in the solution to this system of equations? 3x - 5y = 22 y = -5x + 32

Mathematical Equivalence

ON

Graph the solution to the system. The first equation has been plotted for you.

y = -3x-3

y= 4x +4

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

Which of the following is an equation of line shown?