BLUE KNIGHTS Dear Students Southington High School 0 Pleasant Street Southington CT 0 Phone: (0) - Fax: (0) - Home Page: www.southingtonschools.org Principal Brian R. Stranieri Assistant Principals Richard Aroian Michael Halloran Dianne Holst-Grubbe Jeffrey Shaw Enclosed you will find a comprehensive set of problems which reflect critical math skills that must be mastered prior to entering your Algebra I class at Southington High School. You are encouraged to develop a wide range of ways for finding the correct answer including techniques both with and without the aid of a calculator*. Working with a friend sibling or parent might be a helpful way to complete this assignment! On the second day of school your teachers will check your packets for completion and count it as your first three homework grades. In order to receive full credit for the assignment you must attempt each problem and show all work used to complete it. The answers are provided as a means to assess your own work. During the first few days of school your teachers will provide you with an opportunity to review your work from this packet. Soon thereafter you will be given your first quiz that addresses these skills. Our goal is for you to have a successful and enjoyable transition into your Algebra I class at Southington High School. This packet is meant to facilitate this process. Try your best and remember your teachers will help you upon your return. Sincerely Mr. Robert Lasbury Mathematics Department Chair Southington High School 0-- ext Brian R. Stranieri Principal *Reminder: A graphing calculator is an important tool used within this course. Students are strongly encouraged to obtain one for their personal use. Copies of this packet may be found on the Southington High School Website. Go to www.southingtonschools.org and click on the link to Parent Resources.
ALGEBRA I SUMMER PACKET Name: Date: Remember To Show All Work. Find the sum difference product or quotient of the integers without a calculator as follows: Ex: - +(- ) - 0 +(-) - (-) - - - /- ) + - ) - ) (-) ) - + (-) ) ) ) ) Find the least common denominator of the pair of fractions then add and subtract them. Simplify your final answer in the form of a mixed number. For example: : LCD + + or - - ) 0) 0 Multiply and divide the fractions and put in simplest form. For example: * For division take the reciprocal of the second fraction and multiply. 0 ) 0 * 0 0 )
Write the numbers in order from least to greatest. ) 0. 0. 0. 0. ).. -. - ) ) Use the order of operations to evaluate each expression. Remember Parentheses first Exponents second Mulitply or Divide next (from Left to Right) Add or Subtract (from Left to Right). Example : [ - ( ) + 0 0 * ] [ - ( ) + 0 0 * ] [ - + 0 0 * ] [ - + 0 0 * ] [ - + * ] [ + ] ) ( * ) ) * ) What is the value of (x) when x. 0) Evaluate: ( x + *) when x. ) Simplify: (x ) ) Simplify: (n ) ( + n) y ) Simplify: x 0 ) Simplify:
Find the perimeter using the correct formula: P l + w or P s or P a + b + c ) A triangle with sides of length ft. ft. and feet. ) A square with sides of length. centimeters. Find the area using the correct formula: A lw or A s or A ) A square with sides of length feet. bh ) A rectangle with length. km. and width. kilometers. Find the volume using the correct formula: V lwh or V s ) A cube with sides of length meters. 0) A rectangular prism with length. in. width. in. and height. inches. Find the volume using the correct formula: V r h or V r h ) An ice cream cone has a radius of in. and a height of in. ) A can of tennis balls has a radius of. in. and a height of in. The following countries won gold medals at the 00 Winter Olympics. ) Create a scatterplot graph to display the data. Germany Norway 0 Russia Canada United States Japan Netherlands Austria
Find the mean median and mode(s) of the data set. (Calculators may be used) Mean- is the average of the data set Median- is the middle value when arranged in order from either highest to lowest or lowest to highest. Mode- is the value that appears the most in the data set. ) ) 0 Solve each of the equations for x. ) x + ) x - ) -x + - ) x -0 +x 0) x - ) (x ) (x ) + x In the following chart place an x for the correct number of solutions to each equation. Equation No Sol. Sol. Infinite Sol. ) x - ) x + x + ) -x ) - x ) +x x - ) (x+) - (x-) + Solve each system of equations by substitution. ) y x ) x y 0 0) x y y -x + y x x y
Use the exponent rules to simplify each expression. ) x x ) x x ) (x ) y ) y ) y 0y ) x y x ) y 0 ) Each summer a high school sponsors a picnic for new students their parents and teachers. Last year pounds of hamburger patties were cooked to serve between 0 and 00 people. If the school expects between and people this year estimate the number of pounds of hamburger patties that should be ordered. ) The Great Pyramid at Giza contains 00000 limestone blocks. If the pyramid was constructed continuously hours a day for 0 years how many blocks were placed on the pyramid per hour? Round your answer to the nearest whole block. Find the slope and the y-intercept for the following equations. 0) y x ) y x ) y x + ) x + y ) -x y ) y + x ) Find the slope of the line between the following two points: A() B(--) ) The table below shows the cost to paint a house for a given number of hours. Find the rate of change in cost with respect to time. Time ( hours) Cost ($) 0 0
-. Graph the following two equations on the separate graphs. ) y x ) y - x 0 -. Graph the following standard form equations on the separate graphs using slope intercept form. 0) x y ) x + y -. Find the equation of the line for each graph in slope-intercept form. ) ) Determine which side lengths could form a right triangle. ) ) 0 ) ) Find the value of x. ) Find the value of x. x ft. x in. in. ft.
) A 0 foot ladder is leaning against a wall the base of the ladder is 0 feet from the wall. Draw a diagram and find how far up the wall the ladder reaches. Round to the tenths place. 0-. Solve each system of equations using the elimination method. 0) x + y - ) x + y - x y -0 x + y ) Congratulations! This concludes the Summer Review packet in preparation for th grade mathematics at Southington High School! We hope you tried your best and look forward to working with you next school year!
Answer Key.. -.. -. -0. -. -...... 0-0....... -. -. - -.. -0.. 0. -. -x+. n-. -+y. x+. ft... cm. ft.. km. m 0.. in.. in.. in. Graph of Points. mean. median. mode. mean. median mode. x -. x -0. x. x or. 0. x -. x. Sol..Infinite Sol.. Sol.. Sol.. No Sol.. Infinite Sol.. (). () 0. No Solution. x. x. x. y. y x. y.. The acceptable range of answers is 0 0.. 0. m b -. m - b. m b. m b -. m - b -. m - b ) m - ) $.0/ hr... 0... y ½ x +. y -x +. Right Triangle. Not Right Triangle. Right Triangle. x 0 ft.. x in.. x. ft. 0. ( - ). ( - ). False True True