SAT Prep

b = 2.35 + .25x
c = 1.75 + .40x
In the equations above, b and c represent the price per pound, in dollars, of beef and chicken, respectively, x weeks after July 1 during last summer.  What was the price per pound of beef when it was equal to the price per pound of chicken?

• $2.60
• 2.85
• 2.95
• 3.35

A line in the xy plane passes through the origin and has a slope of 1/7.  Which of the following points lies on the line?

• (0,7)
• (1,7)
• (7,7)
• (14,2)

If (ax +2)(bx + 7) = 15x² +cx + 14 for all values of x, and a + b = 8, what are two possible values for c?

• 3 and 5
• 6 and 35
• 10 and 21
• 31 and 41

For what value of n is |n - 1| + 1 equal to 0?

• 0
• 1
• 2
• THERE IS NO SUCH VALUE OF N

A food truck sells salads for $6.50 each and drinks for $2.00 each.  The food truck's revenues from selling a total of 209 salads and drinks in one day was $836.50.  How many salads were sold that day?

• 77
• 93
• 99
• 105

y  < -x + a
y > x + b
In an xy plane, if (0,0) is a solution to the system of inequalities above, which of the following relationships between a and b must be true?

• a > b
• b > a
• |a| > |b|
• a = -b

Which of the following is an equation of a circle in the xy-plane with center (0,4) and a radius with end point (4/3, 5)?

• x² + (y - 4)² = 25/9
• x² + (y + 4)² = 25/9
• x² + (y - 4)² = 5/3
• x² + (y + 4)² = 3/5

h = -4.9t² +25t
The equation above expresses the approximate height h, in meters, of a ball t seconds after it is launched vertically upward from the ground with an initial velocity of 25 meters per second.  After approcimately how many seconds with the ball hit the ground?

• 3.5
• 4.0
• 4.5
• 5.0

For a polynomial p(x), the value of p(3) is -2.  Which of the following must be true about 
p(x)?

• x - 5 is a factor of p(x)
• x - 2 is a factor of p(x)
• x + 2 is a factor of p(x)
• the remainder when p(x) is divided by x - 3 is -2

In the xy plane, the graph of function f has x-intercepts at −3, −1,and1. Which of the following could define f ? 

• f(x) = (x -3)(x -1 )(x +1)
• f(x) = (x -3)(x -1 )²
• f(x) = (x +3)(x -1 )(x +1)
• f(x) = (x -3)(x +1)²