through the points ( 5,6) and (8, 2).

Transcription

1 Honors Precalculus January 7, 2019 Complete the following without a calculator. 1. Evaluate if x = 0, y = 8, and z = 2 2. Evaluate if x = 3, y =3, and z = 2 3. Find the equation of the line in slope intercept form that passes through the points ( 5,6) and (8, 2). 4. Find the equation of the line that passes through the point ( 6,7) and is parallel to the line 4x 5y = 16. 1

2 Honors Precalculus January 8, Find the equation of the line that passes through the point ( 3, 7) and is perpendicular to the line passing through the points and. For #2 4, find the x and y intercepts of the following. Which of the following are functions?

3 Honors Precalculus (Adv) January 9, Find the equation of the line that is the perpendicular bisector of the line segment with endpoints of ( 6,7) and ( 8,1). 2. A circle of radius 13 is centered at the origin. The point ( 5,12) is a point on the circle. Find the equation of the tangent line to the circle at the given point. 3. Given A = ( 2,8], B = (,12], C = [ 3,5), and D = (9, ), find... (a) A B (b) B D (c) A D (d) B C (e) A D 3

4 Honors Precalculus (Adv.) January 10, Show that the triangle with vertices A(6, 7), B(11, 3), and C(2, 2) is a right triangle. Is the triangle isosceles or scalene? Solve the following equations Find the intercepts: 4

5 Honors Precalculus Adv. January 11, 2019 Solve the following systems of equations using any method Find. Write your answer in interval notation. 4. Given and, find A B. Write your answer in set builder notation. 5

6 Honors Precalculus Adv. January 14, 2019 Simplify the following A pasture is twice as long as it is wide. Its area is 115,200 ft 2. What is the perimeter of the pasture? 6

7 Honors Precalculus Adv. January 15, In a California town, the monthly charge for a waste collection is $8 for 32 gallons of waste and $12.32 for 68 gallons of waste. Find a linear model that relates the amount of waste w and the monthly charge c. Interpret the meaning of the slope. What would be the monthly charge for 96 gallons of waste? 2. The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $380 to drive 480 miles and in June it cost her $460 to drive 800 miles. Find a linear model for the data. Predict the cost of driving 1500 miles per month. What do the slope and y intercept represent? 7

8 Honors Precalculus (Adv) January 16, 2019 Factor the following completely Solve the following equations

9 Honors Precalculus (Adv) January 18, In 1972, the life expectancy in the United States was In 1993, the life expectancy was Find a linear model for the data and use it to predict the life expectancy in Interpret the meaning of the slope. Factor the following expressions

10 Honors Precalculus Adv. January 22, Simplify the following: (a) (b) (c) 2. Rationalize the numerator: 3. For what values of b is the expression x 2 + bx +12 factorable? 4. Name four values of b which make the expression x 2 3x + b factorable. 10

11 Honors Precalculus August 31, 2012 Factor the following expressions completely UNUSED Simplify the following expressions: (a) (b) 11

12 Honors Precalculus Class UNUSED Starter September 12, Solve the following equations or inequalities. (a) (b) (c) (d) 2. Show that the triangle with vertices A(0,2), B( 3, 1), and C( 4,3) is an isosceles triangle. 12

13 Honors Precalculus Class UNUSED Starter September 13, In 1972, the life expectancy in the United States was In 1993, the life expectancy was Find a linear model for the data and use it to predict the life expectancy in A cylindrical can has a volume of 40 π cm 3 and is 10 cm tall. What is its diameter? 3. Al paints with watercolors on a sheet of paper 20 in. wide by 15 in. high. He then places the sheet on a mat so that a uniformly wide strip of the mat shows all around the picture. The perimeter of the mat is 102 in. How wide is the strip of the mat showing around the picture? 13

14 UNUSED Honors Precalculus September 14, A used car salesperson is paid a commission of $25 plus 40% of the selling price in excess of owner's cost. The owner claims that used cars typically sell for at least owner's cost plus $70 and at most owner's cost plus $300. For each sale made, over what range can the salesperson expect the commission to vary? 3. A woman earns 15% more than her husband. Together they make $69,875 per year. What is the husband's annual salary? 14

15 UNUSED Honors Precalculus September 17, After robbing the Wild West Saloon, the robber gallops off at 14 mph. Fifteen minutes later, the marshal leaves in hot pursuit at 16 mph. How long does it take the marshal to catch up with the robber? 2. If a ball is thrown from the top of a 164 ft tall building, with a velocity given by v i, the height of the ball is given by To the nearest tenth, find the velocity with which the ball is thrown if the maximum height the ball attains is 200 ft? 3. Solve the following: (a) (b) 15

16 Honors Precalculus Class UNUSED Starter January 27, Solve the following inequalities. (a) (b) (c) (d) 2. Jack invests $1000 at a certain annual interest rate, and he invests another $2000 at an annual interest rate that is one half percent higher. If he receives a total of $190 interest in one year, at what rate is the $1000 invested? 16

17 3. A container ship left a pier and traveled north. An aircraft carrier left four hours later traveling at 30 mph in an effort to catch up UNUSED to the container ship. After traveling for eight hours the aircraft carrier finally caught up. What was the contain ship's average speed? 4. Karl mixed together 9 gallons of Brand A fruit drink and 6 gallons of Brand B fruit drink which contains 5% fruit juice. Find the percent of fruit juice in Brand A if the mixture contained 11% fruit juice. 4. Two planes leave simultaneously from Chicago, one flying due north and the other due east. The northbound plane is flying 50 mph faster than the eastbound plane. After 3 hours, the planes are 2440 miles apart. Find the speed of each plane. 17

18 Honors Precalculus Class UNUSED Starter January 12, Simplify: 2. Simplify without using a calculator: 3. Solve: 4. Solve: 5. Solve: 18

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