Tuesday is the day that I set aside for Algebra. Since the easy level does not use actual material from an Algebra course, I have included things that students need to know for an algebra course (fractions and decimals, order of operations, etc.). I have also tried to make the arithmetic challenging in that section to make the actual task a little harder than normal.
First, calculate the value of m and n using the values of a and p. Reduce the fractions once you have found them.
m = –––––––
n = ––––
Now, solve for y and z using the rules for subtracting and dividing fractions.
y = m - n
z = m ÷ n
m = _____
n = _____
y = _____
z = _____
Substitute the values of p and h into the following equation, and then solve for the value of t.
p(ht + 705) = (3t - 56)(6h - 2p)3
t = _____
First, find the value of q0 using the value of p from yesterday.
9p + 47
q0 = –––––––
Now, q0 is the zeroth term in a geometric sequence. The recursive formula for this sequence is the following:
qn = (½)qn-1
Knowing the values of the geometric sequence, simplify the following rational function (you can leave it factored, but make sure x is the only variable):
(x - q11)(x - q9)
f(x) = ––––––––––––––––––––––
(q11x + p)(x - q10)(x + q11)
Now, determine the vertical and horizontal asymptotes of this function. Use x1, x2, x3 and so on for the equations for the vertical asymptotes (if the asymptotes were 2 and 5, but x1= 2 and x2= 5), and y1, y2, y3 and so on for the equations for the horizontal asymptotes. Make sure that the asymptotes are arranged from least to greatest in relation to the variable subscripts.
I am not going to put down the variables to find with the blank. Just find as many values of q, x, and y that exist or are necessary for the problem.