Monroe Township High School Monroe Township, New Jersey

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1 Monroe Township High School Monroe Township, New Jersey Honors Geometry *SUMMER PREPARATION PACKET* Honors Geometry is a fast- paced, rigorous course that will provide you with the fundamental tools of geometric understanding that will support you in all future advanced mathematics courses. Since you will be taking Honors Geometry after successful completion of Algebra I, the Honors Geometry Preparation Packet contains review material of the algebraic concepts, skills, and procedures that should be mastered BEFORE entering Honors Geometry in the fall. This practice problem packet is the only formal review of the concepts, procedures, and skills that you will have before beginning your Honors Geometry course. Your teacher will epect you to have mastered all topics included here. The Monroe Township library also has copies of the Algebra and Geometry materials used in our courses: The tetbooks, McDougal Littell Algebra I (004) and Glencoe Geometry (005) are available online and additional support material is available on the Monroe website. Both tetbook links are provided below: o USERNAME: GEOM05 *PASSWORD: N6despeZ Alternate online resources are available at: Math.html mthsgeometry This collection of problems will identify those concepts that you have mastered as well as those you will need to practice and review. You are epected to seek etra help immediately on those concepts with which you have not demonstrated proficiency. Be resourceful use the online resources provided on the webpage! Problems here are very representative of the types of items you will need to have mastered BEFORE geometry so we strongly encourage that you include it in your summer festivities! Good luck and enjoy! J *** Remember to make a photocopy of the packet when you are finished. Page 1

2 *** ALL WORK MUST BE SHOWN THROUGHOUT THE PACKET *** OPERATIONS ON NUMBERS AND EXPRESSIONS Simplify each epression. Leave answers in simplified radical form (4+ 3) (3 ) + ( 5) Simplify each epression. All answers should contain positive eponents ( 5 y ) yz 8 3 4yz 5 3 Page

3 9. Find the circumference of a circle with A = 36 cm. CIRCUMFERENCE: Round to the nearest tenths if necessary. 10. Use the Pythagorean Theorem to determine the length of the = missing side of the right triangle Find the perimeter and area of the given rectangle. PERIMETER: Round to the nearest tenths if necessary. AREA: 10"m 8"m 1. Graph Quadrilateral FGHJ that has vertices F ( 4, 1), G(, 5), H (4, ), and J (,). 13. Find the slope for each of the following sides: FJ, JH, GH. 14. Identify which sides, if any, are parallel, perpendicular, or neither. 15. Find the lengths (distance) of the following sides: FJ, JH. Page 3

4 LINEAR RELATIONSHIPS 16. Solve the equation: 1 (7+ 18) = 1 + 6( 4) = The area of a triangle is 1 A= bh. Solve the area formula for b. 18. Graph using the - and y- intercepts for the equation 3 4y= 9 X- Intercept: Y- Intercept: 19. Write an equation for the perimeter of the regular heagon at the right. Does your equation model direct variation? PERIMETER EQUATION: DIRECT VARIATION? (Yes or No) Page 4

5 For # 0-1, use the given information to write an equation in point- slope form. Then, rewrite the equation into slope- intercept form and then standard form. 0. Write the equation of the line that passes through (3, - 9) and is parallel to y = 3 + Point- Slope form: Slope- Intercept form: Standard form: 1. Write the equation of the line that passes through (- 4, 7) and is perpendicular to the line formed by the points (3, 6) and (11, ) Point- Slope form: Slope- Intercept form: Standard form:. Solve the inequality: Solve: 5 < 4 11< 13 Page 5

6 4. Solve the system by substitution. Check your solution! 8+ 4y = 4 y = Solve the system by elimination. Check your solution! y = = y 6. The total cost of 10 gallons of regular gasoline and 15 gallons of premium gasoline is $3.75. Premium gasoline costs $0.0 more per gallon than regular. What is the cost per gallon of each type of gasoline? Be sure to define your variables! 7. What is the AREA of the region described by the system 3 of linear inequalities: y 1? + y 0 Page 6

7 NON- LINEAR RELATIONSHIPS 8. Solve the proportion: 3 = Write a trinomial to represent the AREA of the trapezoid represented. Recall that the area of a trapezoid is A= 1 h ( b ) 1+ b Multiply. 30. (3 4) 31. ( + 6 8)( 6) Factor each epression Solve each equation = = = Page 7

Monroe Township Middle School Monroe Township, New Jersey

Monroe Township Middle School Monroe Township, New Jersey Preparing for Middle School Geometry *PREPARATION PACKET* Middle School Geometry is a fast- paced, rigorous course that will provide you with the