Nichols School Mathematics Department Summer Work Assignment. Warm-up for Honors Geometry

Transcription

1 Summer Work Assignment Warm-up for Honors Geometry Who should complete this packet? Students who will be taking Honors Geometry in the fall of 016. Due Date: The first day of school How many of the problems should I do? ALL OF THEM. How should I organize my work? You should show all work in a separate sheets of graph paper. Keep your materials in folder with 3-prongs or report cover. How will my teacher know that I ve done the work? Your teacher will collect your notebook on the first day of school. Your teacher may choose to QUIZ or TEST you on this material if he or she feels it is necessary BE PREPARED! How well should I know this material when I return? You should recognize that you ve seen this material before, and you should also be able to answer questions like the ones in this packet. If the material is revisited in your net class, it will only be for a brief amount of time your teacher will assume that all you need is a quick refresher. Note from your teachers: We feel that this summer work will truly help you succeed this year. We understand that summer is a time for relaation and fun, but it is imperative that you spend some time before you return reviewing your materials. This packet is mandatory, and you must treat it as you would any other etremely important homework assignment. You will be held accountable for this material. We also highly suggest that you do a bit of it at a time in the weeks leading up to school don t leave it for the last day!!!

2 Warm-up for Advanced Geometry Instructions: Complete the problems on graph paper in pencil. If a problem requires a diagram, please use a ruler and draw the diagram carefully. At the top of each page of your work, write your name and the page number. Complete all the problems carefully. Show enough work to indicate your method of solution. Make sure your work justifies your answer. Keep the packet and your work in a folder. Place your completed work in page order in a report cover or folder with 3 prongs. Remember, your teacher will collect your work on the first day of school! Late work will be penalized and may NOT be accepted. What if I get stuck? - You should check out other additional study materials. Consult a standard algebra or geometry tetbook. Find a study buddy or a classmate to help you remember the material. Consult the following websites for hints and eamples:

3 page1 1. Simplify the epression a e d. 9a757a3 3 f. 8 g h. 53 z z i Translate each sentence into an equation and then solve. a. Seven more than three times a number is equal to thirty-four. One-fourth of the sum of a number and five is equal to eight. The quotient of three less than a number and three is the same as the number divided by si. 3. The ratio of boys to girls in a summer camp is 4:5. If there are 15 girls, what is the total number of students in this camp? 4. Simplify a. 3p a 3 3ab 3 6ab 6 36abc 4 3 4ab c Solve each open sentence: a n8 n d. p p e. 9 3 f

4 page 6. For delivering a load of bricks, the Redstone Brick Co. charges a flat fee of $5 plus $.4 per brick. Let b represent the number of bricks, and let c represent the cost. Write an equation that describes cost in terms of b, the number of bricks. 7. Graph 3y 3 in the coordinate plane. 8. Graph each line: a. y 3 3 4y 8 3y 4 9. Find the and y intercepts of the line 3 5y The length of a rectangle is feet more than twice the width. The perimeter is 34 feet. Find the dimensions of the rectangle. 11. Compute the slope between the given points. a. (3, ) & (5,9) (, 4) & ( 6,5) 5 1, &, Graph each line described and write the equation: a. passes through the origin and has slope 1 4. passes through the points 4,8 and ( 8,). 13. Write the equation of the line 3y 4 1in slope intercept form. 14. Use the method of substitution to solve the system of equations: 5 y 7 y 3

5 page3 15. Use the method of elimination to solve the system of equations. 8 y 9 y A shipment of math books contains both algebra books for $80 and calculus books for $140. The packing slip has been lost but the book seller knows that there are 0 books in the shipment, and the total bill is $080. How many of each type of book are there? 17. Simplify each radical epression. a d. 48 e f Multiply and simplify each epression. a. (91)(7 4) ( w 6)(4w w 7) 7 d Factor: a y 4 y 1 5m 9 18 d Solve each equation. Simplify your answer. a The area of a rectangular garden is 81 ft. Its length is three times the width. Find the perimeter.