Mr. WoodruffWednesday, September 6th, 2012 –E1

AP Calculus Thursday, September 7th, 2012 – B2

Calculus Readiness Assignment

To prepare you for the upcoming year, I have created this assignment as a means of reviewing important skills and concepts that you have learned in previous mathematics classes. The assignment has been divided into two parts: Part 1 with No Calculator and Part 2 With Calculator. You are responsible for completing this entire packet.

This packet will be collected on Monday, September 10th, 2012 for period E1 and Tuesday, September 11th, 2012 for period B2. An formal assessment (quiz/quest) will be given to assess the student’s knowledge of the material. Be sure to SHOW ALL WORK to receive credit.

Part I - No Calculator

I.Coordinate Geometry

1)Identify the x- and y-intercepts for 3x – 8y = 12.x-int ______

y-int ______

2)Rewrite 10x + 6y = 20 in slope-intercept form.slope ______

Identify the slope and y-intercept.

y-int ______

3)A line has a slope of -3/5 and contains the points______

(-2, 6) and (x, 1). Find the value of x.

4)Write in standard form.______

5)Write in general form.______

6)Find the equation of the line with a slope of 5/6______

and a y-intercept of (0, -8).

7)Find the equation of a line with a slope of 2/3 and______

passing through (-15, 4).

8)Find the equation of a line through the points______

(-7, 12) and (2, 6).

9)Write the equation of the line through the point______

(16, -9) with zero slope.

10)Write the equation of the line parallel to the y-axis______

and through (8, -14).

11)Write the equation of the line perpendicular to______

3x + 2y = -4 and through the point (-6, 1).

12)Solve the system ______

II.Factoring and Polynomials

1)Factor each of the following completely.

a)y2 – 14y – 32b)3a2 + 11a + 6

c)5n2 – 45d)27x3 + 8y3

e)2m2n2 – 18m2n + 36m2

2)Solve each of the following equations using factoring or the Quadratic Formula.

a)x2 - 7x = 18b)2x2 - 4x + 3 = 0

c)3x3 + 2x2 - 27x - 18 = 0 d)4x2 - 23x – 6 = 0

III.Functions

1)Evaluate each of the following given:

f(x) = x2 - 7 / g(x) = 4x + 3 / h(x) =
a)f(-6) / b)h(-8) / c)f(g(1))

d)h(g(f(2)))e)f(4 + a)

2)State the domain of each of the following functions.

a)f(x) = 3x – 11 / b)g(x) = / c)h(x) =
D: ______/ D: ______/ D: ______
d)f(x) = | 8 – 2x | / e)g(x) = / f)h(x) = 4x2 – 7x + 1
D: ______/ D: ______/ D: ______

3)For each of the following functions, identify the shape of the graph. Also identify any transformations including shifts and reflections. Be sure to indicate the number of units and the direction.

a)f(x) = |x - 2| + 1Shape: ______

Transformations: ______

b)g(x) = -(x + 7)2 - 5Shape: ______

Transformations: ______

c)h(x) = (x - 3)2Shape: ______

Transformations: ______

d)k(x) = -|x| - 4Shape: ______

Transformations: ______

4)Determine the inverse of f(x) = 3x – 2.

IV.Rational Expressions

1)Simplify:

2)Simplify:

3)Simplify:

4)Simplify:

V.Logarithmic Functions

1)Evaluate each of the following.

a)log 2 8 ______/ b)log 17 174 ______/ c)log 9 9 ______
d)log 15 1 ______/ e)log 36 6 ______/ f)log 3 ______

2)Expand the expression: log . ______

3)Condense the expression: 2 log 5 – 4 log w – 3 log y ______

4)Solve each of the following equations.

a)23x = 82x + 4b)1 + 2 log 3 (x – 1) = 5

VI.Trigonometric Functions

Evaluate each of the following expressions.

1) ______/ 2) ______/ 3) ______
4)csc - ______/ 5) ______/ 6) ______

7) ______8) ______

Part II - With Calculator

I.Coordinate Geometry

1)Solve the system:

2)Solve the system:

II.Logarithmic Functions

Solve each of the following equations. Round your final answers to thousandths.

1)2 – 4 log (3x + 1) = -72)32x – 3 + 5 = 10

III.Trigonometric Functions

1)In ABC, mA = 90, a = 29, and b = 21. SolvemB

in the triangle.

mC ______

c ______

2)A surveyor is standing 50 feet from the base of a large tree. The surveyor measures the angle of elevation to the top of the tree as 71.5. How tall is the tree? Round your final answer to the thousandths place.

3)A zip-line steel cable is being constructed for a reality television competition show. The high end of the zip-line is attached to the top of a 50-foot pole while the lower end is anchored at ground level to a stake 50 feet from the base of the pole. Find the angle of elevation of the zip-line. Round your final answer to the thousandths place.

4)A triangle has sides of length 5, 8, and 10. What is the measure of its largest angle? Round your final answer to the thousandths place.