Let x represent the number of 2point field goals and y represent the number of 3 point field goals. Write a system of
equations, in terms of x and y, to model the situation.
Algebra House 

In a basketball game, Marlene made 16 field goals. Each of the field goals were worth either 2 points or 3 points, and Marlene scored a total of 39 points from field goals.
Let x represent the number of 2point field goals and y represent the number of 3 point field goals. Write a system of equations, in terms of x and y, to model the situation.
The figure shows the graphs of the functions y = f(x) and y = g(x). The four indicated points all have integer coefficients.
If g(x) = k(f(x), what is the value of k?
What factorization can be used to reveal the zeros of f(x) = 12x²  11x + 15 ?
A.) f(x) = x(12x + 11) + 15 B.) f(x) = (4x + 3)(3x + 5) C.) f(x) = (4x + 3)(3x + 5) D.) f(x) = (4x + 3)(3x + 5)
The diagram represents a right rectangular prism with dimensions labeled as algebraic expressions.
Which of these expressions represents the volume of the prism?
A.) 7x B.) 4x²  25 C.) 12x³  75x D.) 3x(4x²  25) E.) (2x + 5)(6x²  25x) F.) 12x³ + 60x³ + 75x G.) 12x³  30x³ + 10x  25
A rectangular garden has a length that is 3 feet longer than its width. Let w represent the width of the garden, in feet. The entire garden is surrounded by a 2footwide cement walkway. What does the algebraic expression (w + 4)(w + 7) represent in this context?
A.) the area of the garden only B.) the total area of the garden and walkway C.) the perimeter of the garden only D.) the perimeter of the walkway only
A 12 foot long wooden beam is supported on both ends. When a weight load is placed in the center of the beam, it causes the beam to sag. The sag is called deflection. The graph shows the deflection of the beam, in inches, as a deflection of the weight load, in pounds, placed in the center of the beam.
For every 50pound increase in the weight load, what will be the change in deflection?
A.) an increase of 0.5 inch B.) a decrease of 0.5 inch C.) an increase of 0.25 inch D.) a decrease of 0.25 inch
A company has developed a new video game console. After completing cost analysis and demand forecasts, the company has determined that the profit function for the new console
is f(g) = 250g² + 70,000g  4,570,000 where g is the number of consoles sold. What is the domain of the profit function? A.) all integers B.) all rational numbers C.) all integers greater than or equal to 0 D.) all rational numbers greater than or equal to 0
The function f is defined as f(x) = x(x²  4)  3x(x  2).

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