Arts High School

Summer Readiness Packet

For Incoming 8th Graders

Name: ______

Directions:

Complete the following problems to the best of your ability. Show ALL of your work in order to earn full credit and circle your final answer. This will be your first grade for the incoming school year. Start it off right!

  1. Simplify .
  1. Simplify
  1. Simplify .
  1. Simplify .
  1. How many centimeters are in 4000 millimeters?
  1. Which property is used in each example?
  1. ______
  1. ______
  1. ______
  1. Melinda Melody bought a MP3 player on sale for 40% off the original price. If the CD player originally cost $99.00, what is the amount of discount and the sale price?
  1. Discount ______
  1. Sale price ______
  1. Showmey Damoney put $1000 in the credit union and left it there for 1 year. If he earned 5% interest on his money, how much interest will he earn, and how much will be in his account at the end of 1 year?
  1. Interest earned ______
  1. Amount in account ______
  1. Ima Houseseller earns a 3% commission for selling a house. If he sells a house for $120,000, what is his commission?
  1. Simplify .
  1. Write the equation below that represents 8 less than a number n is 14.
  1. Simplify the following expression using the correct Order of Operations (PEMDAS).
  1. Simplify - |-8|.
  1. Write the number 670,000 in scientific notation.
  1. Put these values in order from least to greatest. |13| -|5| -|-8| |9| |-12|.
  1. What is the mean, median, mode, minimum, and maximum of the following values?

56 34 45 56 23 8

  1. Write an example of the properties below.
  1. Associative Property of Addition ______
  1. Commutative Property of Multiplication ______
  1. Distributive Property of Multiplication over Subtraction ______
  1. Inverse Property of Multiplication ______
  1. Identity Property of Multiplication ______
  1. Harry Leggs rides his scooter at a steady speed of 10 miles per hour. Record his progress for the first 5 hours of his ride on the line graph below.

Hours

  1. Sheeza Beyer bought a new pair of shoes on sale. The regular price was $35.00, but she had a coupon for 35% off. Write an equation first, then solve for the amount she paid.
  1. Equation ______
  1. Amount of Discount ______
  1. Amount Paid ______
  1. Give an example of the Associative Property of Multiplication.
  1. If k = 4, what is ?
  1. What are the prime factors of ?
  1. If , what does m equal? Show all work in steps.
  1. Winnifred Watchmee made $108 babysitting for her neighbor last month. If she earned $9.00 an hour, how many hours did she work? Write an equation and solve in steps.
  1. What is the area and perimeter of the side of the stairs in the figure below?

12 inches 12 inches 12 inches

  1. What is the area of the trapezoid below? Use the formula
  1. What is the area of the shaded part of the rectangle below?

14 in

20 in

  1. The class needs $75.00 for a class celebration. Students have already brought in $20. If 11 more students pay their share, how much does each student need to bring in?

Use the equation to help you solve the problem.

  1. What is the value of w if .
  1. Evaluate .
  1. The H1N1 virus count is increasing at a steady rate each hour. How fast are the viruses increasing?

Number of Viruses Present

  1. Jack and Jill ran up the hill at 6 miles per hour for 4 hours. They ran back down the hill at 8 miles per hour for 3 hours. How far did they run in all?
  1. Cameron wants to open a business selling MyFace and Spacebook web pages. If he borrows $3200 and sells his pages for $60 each, how many pages does he need to sell to pay back the money he owed, assuming he doesn’t have to pay any interest?
  1. Jeannie can skate 1 mile in 4 minutes for the first mile, then can only skate 1 mile in 10 minutes. How long would it take for her to skate 16 miles?
  1. Gravity exerts a force of about 15 pounds of pressure per square inch of surface area at sea level. How much pressure is exerted on a hand that is approximately 4 by 6 inches?
  1. The value of the is between what 2 integers?
  1. Wally is 5 years more than 3 times Talley’s age. If Talley is 8, how old is Wally?
  1. Write 3.34 as an improper fraction.
  1. If it takes 99 person-hours to paint the house, and the foreman assigns 6 workers to do the painting, how many hours will it take to finish the job?
  1. The $150 snow skiis were reduced to $105. What is the percentage of discount?
  1. What is written as a decimal?
  1. What is the length of side c, the longest side of a right triangle?

8

  1. What is the slope of the line in the graph below?

  1. Find the length of the rectangle below if the width is7 feet and the diagonal is 25 feet.

7 feet 25 feet

  1. What is the median price of homes in Colton, according to the table below?

Home # / Price
1 / $144,000
2 / $250,000
3 / $300,000
4 / $186,000
5 / $100,000
  1. Simplify
  1. On the map, the distance form Colton to Yucaipa is 2.5 inches. If each inch in the map equals 3 miles, how far is the real distance form Colton to Yucaipa?
  1. What is the equation of the graph below in slope-intercept form?

  1. Find the mean of the set of data.

{1, 6, 17, 23, 5, 11}

  1. If you put 3 green M&M’s and 2 blue M&M’s in a covered jar, then reach in your hand to pull one out, what is the probability that you will pick a blue M&M?
  1. Montegard rolls a die. What is the probability that he rolls a prime number?
  1. Tickets to the fair cost $5 each. Make a line graph below that shows the cost for the first 8 people.

Money in Dollars