Report

1 2 3 4 5 6 7 8 9 10 18 19 20 Math Bowl Let’s get ready to……… 11 12 13 14 15 21 22 23 24 25 16 17 Question 1 • Maria is making blueberry muffins, using a blueberry cake recipe. To make the muffins, she needs to divide the recipe in half. If the recipe calls for 1 2/3 cup of milk, how much milk will she need to make the muffins? Solution #1 She would use 5/6 cup of milk to make the muffins. Show your work: 2 5 1 3 3 5 2 3 1 5 1 5 3 2 6 Question 2 Kara saved $36 of the $80 she earned babysitting. What percent of her earnings did Kara save? Solution #2 • Kara saved 45% of her earnings • Show your work: 36 x 80 100 • Set up a proportion. • Cross multiply. • Use the inverse operation of multiplication (division). • Divide and solve for x. 80x 3600 x 3600 80 x 45 • IS THERE ANOTHER WAY TO FIND THE VALUE OF X IN THIS PROPORTION? Question 3 Square QRST has the following vertices: Q(2,8), R(-4,8), S(-4, 2), and T(2,2). Triangle QTU has the vertices: Q(2,8), T (2,2), and U(6,2). What is the area of the quadrilateral formed by the square and the triangle? Solution #3 SQUARE: One side of the square measures 6 units. Q(2,8) and R (-4, 8) The y-values are the same, so I added the absolute values of 2 and -4. |2|= 2 |-4| = 4 2 + 4= 6 Area of square QRST: 6 x 6 = 36 sq. units The height of the triangle is 6 and the base is 4 units. TRIANGLE: Area of Triangle QTU: 6 x 4 / 2= 12 sq. units 36 = 12 = 48 ANSWER: 48 sq. units Question 4 Part A: Which expression is equivalent to 4- 8x? a) b) c) d) 4(1-8x) 2(2-4x) 4(4-2x) 2(1-4x) Part B: Tell how you determined your answer. Solution #4 Choice a is correct. 4(1-8x) How did you determine your answer? Question 5 A side of a regular hexagon measures 5 cm. A line segment was drawn from the center of the hexagon to the middle of the bottom side. What is the area of this hexagon? HINT: Draw a sketch of this hexagon first. Solution #5 A= 64.5 2 cm. HOW DID YOU SOLVE THIS PROBLEM? Question 6 The product of two factors is 18x + 45. What are the factors? a) b) c) d) 9(5x + 2) 9(2x + 5) 3(2x + 15) 3(6x-5) Solution #6 Choice B: 9(2x + 5) HOW DID YOU DETERMINE YOUR ANSWER? Question 7 • A can of tomato soup has a net weight of 8 ounces. How many grams are in the can of soup? 1 ounce = 28.35 grams Solution #7 226.8 grams HOW DID YOU DETERMINE YOUR ANSWER? Question 8 Shayla bought 2.75 liters of cranberry juice, 3.5 liters of pineapple juice, and 4.2 liters of orange juice for punch for a party. How many liters of punch will this make altogether? Solution #8 10.45 L Show your work: 2.75 3.50 * Remember to line up your decimals! + 4.20 10.45 or 10.45 Liters Question #9 Sam needs at least 78 credits to get his college degree. At the end of his third year, Sam has a total of 52 credits. Part A: Write an inequality that represents how many more credits, C, Sam needs to get his degree? Part B: Graph the inequality on a number line. Solution #9 c 26 EXPLAIN HOW YOU MADE YOUR GRAPH ON A NUMBER LINE. Question 10 A shipping container in the shape of a rectangular prism, fits in a space that has a volume of 2,212 cubic meters. If the container is 7 meters wide and 8 meters tall, how long is the container? Solution #10 • The shipping container is 39.5 meters long. • HOW DID YOU DETERMINE YOUR ANSWER? Question 11 Part A: Write an expression for the following statement: A number multiplied by 4, subtracted from 65. Part B: Can an equivalent expression be written for the expression? Explain. Solution #11 Part A: 65-4x Part B: You cannot write an equivalent expression because order matters in subtraction and there aren’t an common factors of the two terms. Question 12 The graph below shows the amount of money earned during a car wash held at Sweet Home Middle School last Saturday. Write an equation to determine the relationship between the number of hours (x) and the amount of money raised (y). Solution #12 y= 10x I used the coordinates (1,10), (2,20), (3,30), (4,40), and so on to determine the relationship between x and y. Question 13 Stephanie drove 16 miles less than three times the distance Jaydah drove. Use j for the number of miles Jaydah drove. Write an expression for the number of miles Stephanie drove. Solution #13 3j-16 Question 14 Evaluate for a = 3. 14 (5 a) (6 2) 2 2 2 Solution #14 208 HOW DID YOU DETERMINE YOUR ANSWER? Question 15 In art class, 40% of the students used watercolors for painting. Ten students in art class used watercolors. How many students were in the art class? Solution #15 25 students used watercolors. HOW DID YOU DETERMINE YOUR ANSWER? Question 16 Andrew had $250 in his savings account. He deposited the same amount of money for each of the next 6 weeks. For the next 4 weeks, he deposited twice the amount of money as the previous six weeks. If d is the amount of money Andrew deposited each week, write an expression to represent how much money he will have in his account after the tenth week. Solution #16 250+d+4(2d) Question 17 Mrs. Bogacz burns 90 calories walking in ten minutes. At this rate, how many calories will she burn in 16 minutes? Solution #17 Question 18 Which expression is equivalent to a + a + a + b + b+ b? a) 3a + b b) a3 + b3 c) 3a + 3b d) 3 + ab Solution #18 Choice C is correct. 3a + 3b Question 19 Stephon has a 22.74 liter container of water. How many gallons is this container? 1 gallon = 3.79 liters Solution #19 6 gallons How did you determine your answer? Question 20 The table below lists places around the world that have land areas below sea level. If sea level is 0, which place is closest to sea level? Country Death Valley, United States Lake Eyre, Australia Lake Enriquillo Laguna Salada, Mexico Elevation -86 meters -16 meters -46 meters -10 meters Solution #20 Laguna Salada, Mexico Question #21 Consider the following expression: 4(7x + 5) Part A: Write two equivalent expressions for it using two different properties. Part B: Tell which property you used for each expression in Part A. Part C: How many factors does 4(7x+5) have? What number is a coefficent in the expression? Solution #21 Part A and B: 28x + 20- distributive property (7x+5)4- commutative property Part C: There are two factors in the expression 4(7x + 5). The coefficient is 7. Question #22 Two vertices of a right triangle are (0,1) and (0,6). The area of the triangle is 10 square units. Which point in Quadrant II is the third vertex of the triangle? Solution #22 (-4, 1) Question #23 • There are 40 cups of flour in a bag. If 25% of the flour is used to make 2 batches of cookies, how many cups of flour was used? Solution # 23 10 cups Show your work: The total is 40 cups of flour. 25% of the total .25 x 40 25% = .25 40 x .25 200 + 800 10.00 Move the decimal 2 places to the left Remember: % of the total ‘MULTIPLY’ Question 24 Tyler charted the amount of water he drank in the last 30 days. Based on the data in the table, what is the probability that he will drink more than 30 ounces of water in a day? Number of days Amount of water he drank 6 0-10 ounces 11 11- 20 ounces 3 21- 30 ounces 6 31-40 ounces 4 41 or more ounces Solution #24 Answer: 1/3 Show your work: 6 days he drank 30 oz Number of days 4 days he drank 40 + oz 6 11 Part 10 days 3 Whole 30 days 6 4 Amount of water he drank 0 -10 ounces 11 - 20 ounces 2 1- 30 ounces 31 - 40 ounces 41 or more ounces Question #25 Find the area and perimeter of this figure. 7 feet 6 feet 2 feet 10 feet Solution #25 Show your work: A=lxw + A=lxw P=s+s+s+s+s+s 8x7 + 3x2 8 + 7 + 6 + 3 + 2 + 10 56 + 6 AREA = 62 sq feet PERIMETER = 36 feet