Summer Packet for Students entering Algebra 1/2

Transcription

1 Course 3/Pre-Algebra (formerly: Entering Algebra /2): Page of 6 Name Date Period Directions: Please show all work on a separate sheet of paper and place your final answer on your summer packet. If no work is shown for all calculation problems, then there will be no credit given. Summer Packet for Students entering Algebra /2. The ratio of rainy days to non-rainy days in April was 2 to 3. How many of the 30 days in April were rainy? 7. What is the volume of the shoe box? 2. This table shows the selling price of five real estate properties. Selling Price $25,000 $320,000 $275,000 $305,000 $275,000. The area of this circle is What was the median of these selling prices? 3. In the first two hours of the trip, Julissa drove 20 miles. In the next hour, she traveled only miles. What was Julissa s average speed in miles per hour (mph) for the three-hour drive?. A six-inch pen is how many centimeters long? ( inch = 2.5 centimeters) 5. This graph illustrates the solution to which inequality? 9. Which choice shows a fraction and a percent equivalent to 0.?,% 00,% 5,0%,0% 0. Ê Ë Á ˆ Ê ˆ Ë Á equals x > x < x x 6. If 30% of John s photographs were perfect, but 20 photographs were not perfect, then how many photographs were there in all?

2 Course 3/Pre-Algebra (formerly: Entering Algebra /2): Page 2 of 6. Which figure is not a parallelogram? 9. In triangle ABC, what is the measure of angle A? 20. If x equals and y equals 3, then xy y 2 equals 2. One wall of an attic room has the shape of a trapezoid. The area of the wall is 2. What is the area of this quadrilateral? 22. The ratio of fiction to nonfiction books on the shelf was 2 to 3. If there were 60 nonfiction books on the shelf, how many fiction books were there? 3. If.2x =., then x equals. If y =, then y equals {6 [6 2 ( 2)]} equals 23. The average age of the three children in the Smith family is. If the first two children are and 2, how old is the youngest child? 2. Amal traveled 7 miles by bus in 3 hours. What was the average speed of the bus in miles per hour? 6. ( 2) + ( ) ( 6) equals 7. The diameter of Melia s bike tire is 2 inches. The circumference of the tire is about 25. Three fifths of the 60 vehicles were trucks. How many trucks were there? 26. Ninety-three million in scientific notation is. If Baron spins the spinner twice, what is the probability he will spin a 3 on both spins? 27. Which set of decimal numbers is arranged from least to greatest? 0.6, 0.6, , 0.65, , 0.65, 0.6, 0.65, 0.6, 0.6 2

3 Course 3/Pre-Algebra (formerly: Entering Algebra /2): Page 3 of 6 2. Which choice below correctly shows both the decimal and the percent equivalents for 2 5? 0.25, 25% 0., % 0., 0% 2.5, 250% 29. If a is 5, b is, and c is 3, then ab bc is 30. What is the perimeter of this hexagon? All angles are right angles. 37. What is the area of this rectangle? equals 39. There are red marbles and 2 blue marbles in a bag. If one marble is drawn from the bag, the probability of drawing a red marble is 0. The missing exponent in = 0 is. The area of this triangle is 3. Which equation best shows how to estimate the area of this rectangle? A in. 2 in. A 3 in. 2 in. A in. 3 in. A in. in. 2. If a truck driver can average 55 miles per hour, what equation shows how far the driver will travel in hours? 3. Which point has the coordinates (3, 2)? 32. If w = 0, then w = 33. If n 6 = 2, then n equals equals equals equals. The Pilgrims founded Plymouth Colony in 620. The American colonies declared independence in 776. How many years were there from the founding of Plymouth Colony to the Declaration of Independence? 3

4 Course 3/Pre-Algebra (formerly: Entering Algebra /2): Page of 6 5. Kwan went to the store with $20 and left the store with his purchases and $7.35. How much money did Kwan spend? 6. Rolling a number cube once, what is the probability of rolling a number less than? 7. Study this function table. What number is the output if the input is 2? Input Output Three fourths of the team s 2 points were scored in the first half of the game. How many of the team s points were scored in the first half of the game? 9. What is the prime factorization of 600? 50. The fraction 0 reduces to Which of these figures is a polygon? 52. Which fraction below is equivalent to 7? If 5x = 360, then x equals 5. If n 36 = 2, then n equals 55. Which set of fractions is arranged from least to greatest? 2,,, 6 2, 6,, 6,, 2, 6,,, When new, Shayla s pencil was 7 inches long. Now her pencil is 5 inches long. How many inches of her pencil has Shayla used? 57. Cheryl walked 3 miles to Maria s house. Then 0 together they walked miles to the park. How 0 far did Cheryl walk to get to the park? 5. There were fruit pies in the restaurant dessert 6 case before dinner. After dinner there were 5 6 fruit pies in the case. How many fruit pies were sold during dinner?

5 Course 3/Pre-Algebra (formerly: Entering Algebra /2): Page 5 of equals = Simplify , (7) = 62. Figure ABCD is a rectangle. Which segment is parallel to AB? What is the area of this rectangle? What is the next number in this sequence?,, 9, 6, 25, Which of the following is not illustrated by this 6 by 6 square? Write 3 as an improper fraction. 77. Write 2 3 as an improper fraction = = 6 36 = = What percent of a circle is 3 of a circle? 5

6 Course 3/Pre-Algebra (formerly: Entering Algebra /2): Page 6 of Three dimes is (a) what fraction of a dollar? (b) what percent of a dollar? 0. Complete each equivalent fraction. (a) 3 =? 2 (b) 2 3 =? 2. Reduce: (a) (b) Simplify: (a) 0 (b) 6 (c) Reduce: Find the least common multiple (LCM) of and Find the least common multiple (LCM) of 7, 9, and Divide: Simplify: 9 0 Ê ˆ Ë Á 6