Ask questions such as If you ate a total of 30 cookies, some in the morning and 12 in the afternoon, how many crackers did you eat in the morning?

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1 Welcome to Summer Vacation! Your child has worked hard this school year to strengthen their ability as a young Mathematician. Remember that learning does not stop outside the classroom. Daily routines and household chores can be used as activities to practice mathematical concepts and make learning fun. Having fun with math is key to helping children on their journey to become confident mathematicians. Below you will find Suggested Activities and the Summer Math Review Packet. Engaging your child with some of the listed activities will help bridge their connections of mathematics to everyday life! Suggested Activities: Add and subtract items around the house. Use the terms more than, less than, equal to, and is the same as to describe the relationships between or among the items. Use multiplication and division when applicable and when grade appropriate. Ask questions such as If you ate a total of 30 cookies, some in the morning and 12 in the afternoon, how many crackers did you eat in the morning? Adding math language to daily conversations allows for students to connect what they ve learned in school to their daily lives. For younger students, identify the shapes you see in the real world around you. For older children, discuss distance or gas mileage when traveling. Work with money. When shopping, let your child pay for items with exact amounts. Younger children can make patterns with coins and count the amount they have. For older children, calculate tips, discuss gas price comparisons and currency conversions when traveling. Provide experience with debit accounts. Use shopping to have conversations about math. Have younger children budget and ask them if they have enough money to pay for the item they want. Ask them

2 to calculate how much they would have left after buying the item. Older children can look at the unit prices or price per pound and calculate the costs. Have them find the better buy for their money. Practice measurement at home with cooking, laundry, or discussions about household projects such as painting or working on a new floor. Get to know their video game interests. Chances are the level achievements in their games correlate to numeric advances. Be creative and have fun with your child! More ideas for your child s grade level can be found at the following links: preschoolers/ Summer Math Review Packet:

3 Mid-Course Test A Multiple Choice (10 2 points 20 points) Fill in the circle next to the correct answer. 100 Suggested Time: 90 min 1. Which of the following algebraic expressions is not equivalent to 3 x 1 5 y? A 1 y 5 3x B ( 9x 4y 2. 5) C 3 x 4 1 y D 3 y 5 x Which of the following is the correct algebraic expression of the verbal description ten less than one-sixteenth of the product of one-third w and eight-ninths? A 1 ( wu 10) B 1 8 w u C 1 wu 10 D 54 w 8 u Simplify 2(x 3x 4). A 2x 6x 8 B 2x 6x 8 C 4x 8 D 4x 8 4. Jason took a 20-question mathematics quiz. Five points were awarded for each correct answer and 1 point was deducted for each incorrect or unanswered answer. If Jason got y questions correct, which of the following shows his total score? A 5y 20 B 6y 20 C 100 5y D y 5. Which of the following decimals is the closest approximate value of 35? A B C D Solve 8 ( 5) ( 3). A 0 B 6 C 10 D Mid-Course Test A

4 7. Which of the following number lines represent the solution of 7 3y < 6y 2? A B C D Which of the following is a solution of 5(4 p) 3(p 4)? A 1 B 2 C 3 D 4 9. Which of the following expressions is the complete factorization of 16x 24y 32? A 2(8x 12y 16) B 4(2x 6y 8) C 6(3x 4y 6) D 8(2x 3y 4) 10. Which of the following table of values represents a direct proportion? A x B x y y C x D x y y Assessments Course 2 57

5 Short Answer and/or Constructed Response (Questions 11 to 20: points, Questions 21 to 25: points, Questions 26 to 33: points) Write your answer on the answer blank provided. 11. The distance between Towns A and B is 2,090 miles. Round this measure to 2 significant digits. 12. Translate the sum of 55% of p and three times 4q into an algebraic expression. 13. Solve the inequality: 3 y y Solve the equation: 3(2x 1) 4x The diagram shows an equilateral triangle A and a rectangle B. Both shapes have equal perimeter. What is the length of rectangle B? 12x A B 7x 58 Mid-Course Test A

6 16. Expand and simplify ( p 15) ( 9 6p) p Order the numbers from greatest to least. Use the > symbol ,,, π, 4, The minimum temperature for a particular day was 4 F below zero. The maximum was 16 F higher. What was the maximum temperature? 19. A carpet manufacturer produces 9,720 feet of carpet every 24 hours. What amount of carpet would you expect to be produced in a) 8 hours? b) 20 days? 20. The cost of a container of grapes is $2.40 and the cost of peaches is $0.45 per pound. After Karen bought (x 3) container of grapes and y pounds of peaches, she had $5 left. Write an algebraic expression for how much money she had at first. Assessments Course 2 59

7 Solve. Show your work. 21. Two types of tickets are available for a charity ball event: $18 for a reserved seat and $9 for general admission. The number of reserved seats available is 85 less than the number of tickets available for general admission. If the sale of tickets for the day was $3,600, how many seats were allotted for general admission? 22. Joe drew a figure consisting of a square A, a rhombus B and an equilateral triangle C as shown. If the length of square A is (4x 5) centimeters and the perimeter of the figure is 203 centimeters, find the value of x. A B C 60 Mid-Course Test A

8 23. Use integers to write and solve a numerical expression. a) An elevator went down 2 floors from the ground level, then down another 3 floors. The lift then went up 6 floors. What is its final position? b) Clinton has $374 in the bank. After withdrawing $68 three times and depositing $50 twice, what is the balance in the account? 24. The mass of two sacks of potatoes is 168 grams. One-eighth of the mass of Sack A and three-quarter of the mass of Sack B is 76 grams. a) Write an equation to find the mass of Sack A. b) Solve the equation to find the mass of Sack A. c) Find the difference in the mass of Sack A and Sack B. Assessments Course 2 61

9 25. The graph shows the relationship between the cost of pens and the number of pens at an office supply store. y Sale of Pens Cost of Pens ($y) (4,12) x Number of Pens (x) a) Does the graph show a direct proportion or an inverse proportional relationship? b) Find the constant of proportionality. What is the cost of one pen? c) Write an equation to represent the relationship between the cost of pens, y dollars, and the number of pens, x. d) Explain what the point (4, 12) represents in this situation. e) If Anna has $24. How many pens can she buy? 62 Mid-Course Test A

10 26. The table shows the elevations of some locations in the United States. Location Death Valley, California Elevation (ft) 282 Mount Whitney, California 14,505 Houston, Texas 125 Colorado Springs, Colorado 6,035 New Orleans, Louisiana 7 Detroit, Michigan 670 a) Which location has (i) the highest elevation? (ii) the lowest elevation? b) How much higher is the elevation of Colorado Springs, Colorado than the elevation of Death Valley, California? c) Which location has an elevation 952 feet lower than Detroit, Michigan? d) Which location has an elevation 132 feet higher than New Orleans, Louisiana? Assessments Course 2 63

11 27. Martha has 25 coins in her purse. Some of these coins are nickels and the rest are quarters. If the total value of the coins she saved is $3.65, determine the number of nickels in her purse. 28. Two cars are 480 miles apart. They both move towards each other along the same road at the same time. The speeds of the two cars are (2v 8) miles per hour and v miles per hour. 5 a) How far apart are the two cars after 1.5 hours? b) If v = 60, find the distance between the two cars after 1.5 hours. 29. Marianna just completed her findings in her investigation of the importance of sunlight in the growth of plants. She has to submit a report of no less than 4,900 words in 15 pages. She can only use two types of font for her report. The normal font size allows 300 words per page while the smaller italic font allows 350 words per page. What is the maximum number of pages in her report that can be set using the normal font size? 64 Mid-Course Test A

12 30. The ratio of the rates of printing of two printers A and B is 6 : 5. Printer A prints at a rate of (3x 12) pages per minute. a) Write an expression to represent the rate of printing of Printer B in terms of x. b) Both printers started printing at the same time to complete a print job in one hour. What is the total number of printed pages from both printers in terms of x? c) How many more printed pages did Printer A produce than Printer B? 31. A rectangle measures m 4 inches by 10 inches. 3 a) Find the area of the rectangle in terms of m. b) Both the length and width of the rectangle increased by 10%. Find the area of the expanded rectangle in terms of m. c) Find the increase in area of the rectangle. d) If m 5, calculate the value of the increase in area. Assessments Course 2 65

13 32. How much of a 10% syrup solution should be added to 2 liters of a 30% syrup solution to get a 20% syrup solution? 33. The time it takes for a car to travel from Town A to Town B is inversely proportional to the speed of a car. A car traveling at a speed of 36 miles per hour will take 5 hours to travel from Town A to Town B. a) If it takes a car 4 hours to travel from Town A to Town B, what is the speed of the car? b) If the car travels at 25 miles per hour on the way back, how long does it take to reach Town A? 66 Mid-Course Test A

14 Bonus Questions Solve. Show your work. 34. The diagram shows a rectangular container filled with water to a height of x inches. When 40% of the capacity of water from a completely filled pail of 36 water was transferred to the container, the volume of water in the container increased to (5x 8) cubic inches. x 36 in. 16 in. 6 in. a) Find the amount of water transferred from the pail to the container in terms of x. b) What was the capacity of the pail in terms of x? c) If x 9, determine the volume of the pail. 35. The sales tax in Georgia and California is 4% and 7.25% respectively. In Georgia, Rick saw a camera on sale for $ He saw the same camera priced at $89.90 with 20% discount in California. Where should Rick buy the camera? Explain your answer. Assessments Course 2 67