CHERRY HILL EAST. Algebra 1 Summer Review Packet

Transcription

1 CHERRY HILL EAST Algebra 1 Summer Review Packet Welcome to Algebra 1! This summer review assignment is designed for all the students enrolled in Algebra 1 for the next school year. It is designed refresh your skills from previous math courses and prepare you for a successful year! This packet is to be completed by the end of the 1 st cycle. It will be collected and graded based upon completion and effort. These are not new skills or concepts and will be reviewed at a rapid pace during the beginning of the school year. A formal assessment will be given based on information reviewed in this packet during the first two weeks of school in September. When necessary, use the formulas and hints provided in this packet and the online sites to help refresh your memory! You MUST SHOW WORK on a separate sheet or printed version! See you in September!! Mr. Mancinelli, Mrs. Melograna & Mrs. Burgess

2 Enriched Algebra Summer Workshop Part 1: Solving Multi-Step Equations Practice Solving each equation 1. 1n 8 = n 1 = k 7 5 = r = 5r ( 3m + 1) = 5( m ) 6. 3(d 8) 5 = 9(d + ) + 1

3 Part : Solving and Graphing Multi-Step Inequalities Solve and Graph each solution on the number line 1. 5x 3 > 1. x x 7 6x 10. 9r r 5. 3(m + ) 6(m + 1) 6. y + < 8y (3y 5)

4 Part 3: Equation and Inequality Word Problems Translate each word problem into an algebraic equation or inequality, using x for the unknown, and solve. Write a let x = for each unknown; write an equation or inequality; solve the equation or inequality; substitute the value of x into the let statement to answer the question. 1. An online video service charges a one-time membership fee of $1 plus $1.50 per rental fee. How many videos can Stewart rent if he spends $1?. Bicycle city makes custom bicycles. They charge $160 plus $80 for each day that it takes to build the bicycle. If you have $80 to spend on our new bicycle, how many days can it take Bicycle City to build the bike? 3. Kevin went to the mall and spent $1. He bought several t-shirts that each cost $1 and he bought 1 pair of socks that cost $5. How many t-shirts did Kevin buy?. Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $00 in the account at the end of the summer. He withdraws $5 each week for food, clothing and movie tickets. How many weeks can Keith withdraw money from his account? 5. Skate land charges a $50 flat fee for birthday party rental and $10.50 per person. Maryann has no more than $00 to spend on the party, how many people can she invite? 6. Mark wants to order video games on Gamefly. Each game cost $19.99 and shipping is a fixed $9.99 for the whole order. Mark has no more than $10 to spend on video games, how many can be buy without exceeding his limit?

5 Part : Literal Equations Solve each equation or formula for the variable specified x + 1 = y solve for x. 7x + 3y = m solve for y 3. x ( k) = p solve for k. P = l + w solve for w 5. Given the surface area of a cone is represented by the following formula S = πrl + B, find the slant height, l, given the surface area, S is 11. in and the radius, r, is 3 inches long and the base area, B is 8.3 in.

6 Part 5: Rate of Change and Slope Find the slope of the line through the given points, or the value of r for the given slope. 1. (, 9), (1, -6). (, 5), (6, ) 3. (, 3.5), (-, 3.5). (1, -), (-, -5) 5. (6, 8) (r, -), m 1 6. (10, r) (3, ), m 7

7 Part 6: Graphing Linear Equations Create a table of values and graph the line from the given equation. 1. y x. y x 3 x y x y 3. 1 y x 1 3 x y. x y 10 x y 5. x y 6. x 3y 6 x y x y

8 Part 7: Function Notation Evaluate each function x x 1; find g 6 1. g. p t 3t 1; find p 3. f n n 5n; find f 3. h t t 3 5t ; find h 5 5. g a find g a 3 and h a 7 h 7 a 1 6. g t find t 1 and g 5 h 5 h t 3t 3

9 Part 8: Domain and Range of Functions 1.

10 . 3.

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12 Part 9: Evaluating Algebraic Expressions Evaluate each expression x y when x and y 3xy 8. when x and y 3 7x 5 9. z x x when x and z