1i) If Pablo counted 745 marbles in his collection, and his sister, Julia, only counted 739 marbles, how many more marbles did Pablo count? If Julia then saw that 21 marbles had rolled under the sofa, how many would be in Julia's count now? What would this bring Pablo's total to? Check the box next to the correct answer.
a. 5; 770; 771b. 6; 760; 766c. 7; 772; 773
1g) Work with a group to solve the following: If you each had 25 carrot sticks, how many carrot sticks would you have altogether? If each of you got 5 more carrot sticks, how many would you have altogether? How many more is this than the number of carrot sticks you had originally?
2i) Which number in each of the following groups is a prime number? Check the box next to each correct answer.
2g) Work with a friend. Write the numbers between 20 and 40, and have your friend do the same. Circle all of the prime numbers between 20 and 40. Check the box next to the answer you both agree lists all of the prime numbers between 20 and 40.
a. 21, 25, 27, 31 b. 23, 29, 31, 37 c. 21, 27, 31, 37
3i) Jessica got scores of 88, 92, and 95 on her three tests. What is her average score to the nearest whole number? If she got a score of 89 on her fourth test, what is her new average? Check the box next to the correct answer.
a. 90; 89 b. 91; 90 c. 92; 91
3g) The average of three numbers is 70. The first two numbers are 83.1 and 42.9. Work with a friend to find the third number. Check the box next to the answer you both agree is correct.
a. 84 b. 70 c. 80
4i) If three brothers weighed 135, 165, and 110 pounds, what would be their average weight to the nearest pound? What would be their median weight? Check the box next to the correct answer.
a. average, 133; median, 130b. average, 135; median, 132c. average, 137; median, 135
4g) Work with a group to find the mean of all the prime numbers between 1 and 20 to the nearest hundredth. Check the box next to the answer you all agree is correct.
a. 8.51b. 9.63c. 9.06
5i) Solve the following equations for x if y = 2 and z = 10. Check the box next to each correct answer.
5g) Work with a group. Use two unit multipliers to convert 6 kilometers to meters. Have one student in the group convert 6 kilometers to centimeters while another converts 6 kilometers to millimeters.
6i) If 20 sticks of gum cost 2 dollars, how much does one stick of gum cost? How many sticks of gum could you buy for 10 dollars? Check the box next to the correct answer.
a. $0.10; 100b. $0.20; 50c. $0.01; 100
6g) Work with a group to solve the following: Your group is given 30 dollars to buy soda for a party. If a 12-pack of soda costs 3 dollars, how many 12-packs can you buy? How many cans will you have? Check the box next to the answer you all agree is correct.
a. 15; 180 b. 12; 144 c. 10; 120
7i) Simplify the following. Check the box next to each correct answer.
7g) Work with a friend. Simplify the following and have your friend do the same. Compare answers and methods. Check the box next to each answer you both agree is correct.
8i) What are the following numbers in scientific notation? Check the box next to each correct answer.
8g) Work with a friend. Look at the exercises below, and discuss the steps you will need to take to write these numbers in standard form. Check the box next to each answer you both agree is correct.
9i) Change the following percents to decimals and fractions. Check the box next to each correct answer.
9g) Work with a group to solve the following: Cargo pants regularly sell for $29.99. You have a coupon for 40% off. Make a step-by-step plan to determine how much the sale price will be. Check the box next to the answer you all agree is correct.
a. $14.99 b. $17.99 c. $20.99
10i) If 90% of the students who go to the school were present and 513 students were present, how many students go to the school in all? Check the box next to the correct answer.
a. 570 students b. 567 students c. 563 students
10g) Work with a group to solve to following: If you solved 30 math problems and you still had 1/4 of the assignment to finish, how many math problems are there in all? Check the box next to the answer you all agree is correct.
a. 38 problems b. 40 problems c. 36 problems
11i) Find the following sums. Check the box next to each correct answer.
11g) Work with a friend. Compare these two arithmetic problems. Then explain how they are alike.
1. (-5) - (-10) 2. (-5) + (+10)
12i) What are the following products in scientific notation? Check the box next to each correct answer.
12g) Work with a friend. What are the following products in scientific notation? Check the box next to each answer you both agree is correct.
13i) Eric can do 14 math problems in 5 minutes. How long would it take him to do 42 math problems? Check the box next to the correct answer.
a. 15 minutes b. 10 minutes c. 8 minutes
13g) Work with a group to solve the following: If you can fit 20 apples in one bag, how many bags do you need for 160 apples? How many bags do you need for 300 apples? Check the box next to the answer you all agree is correct.
a. 6 bags; 12 bags b. 7 bags; 14 bags c. 8 bags; 15 bags
14i) Solve the following two-step equations. Check the box next to each correct answer.
14g) Work with a friend. Solve the following equations, and have your friend do the same. Check the box next to each answer you both agree is correct.
15i) Find the following products. Check the box next to each correct answer.
15g) Work with a group to determine two terms that when multiplied together equal the following products. Compare answers and methods.
1. 4c2m2 2. 25x4z93. 100h4k
16i) How much would 500 dollars be worth in 2 years if deposited at 8% simple interest? How much would it be worth in 2 years if deposited at 8% interest compounded annually? Check the box next to the correct answer.
a. $540; $545.20 b. $560; $565.20 c. $580; $583.20
16g) Work with a group to solve the following: If you had 400 dollars to deposit for 2 years, would you get more interest if you had 7% simple interest or 7% interest compounded annually? What if you were depositing the $400 for only 1 year? Compare answers and methods. Check the box next to the answer you all agree is correct.
a. $400 deposited for 2 years with simple interest: $456; $400 deposited for 2 years with compound interest: $457.96; $400 deposited for 1 year: simple interest and compound interest earn the same amountb. $400 deposited for 2 years with simple interest: $466; $400 deposited for 2 years with compound interest: $477.96; $400 deposited for 1 year: simple interest earns less than compound interestc. $400 deposited for 2 years with simple interest: $476; $400 deposited for 2 years with compound interest: $466.96; $400 deposited for 1 year: simple interest earns more than compound interest
17i) What are the Arabic numerals for the following Roman numerals? Check the box next to each correct answer.
17g) What are the Roman numerals for the following Arabic numerals? Work with a friend to find the answers. Check the box next to each answer you both agree is correct.
18i) What is the probability that a coin will land tails up three times in a row? four times in a row? Check the box next to the correct answer.
a. 1/6; 1/8 b. 1/8; 1/16 c. 1/12; 1/16
18g) Work with a group to solve the following: What is the probability of rolling a 6 with a single die? What is the probability of rolling two 6's in a row? What about three 6's in a row? Compare answers and methods. Check the box next to the answer you all agree is correct.
a. 1/6; 1/36; 1/216 b. 1/3; 1/6; 1/36c. 1/6; 1/12; 1/18
19i) Find the hypotenuse of the right triangles whose sides are the following lengths. Check the box next to each correct answer.
19g) Work with a group to solve the following: A 26-foot ladder is leaning against the side of a building, and the bottom end of the ladder is 10 feet from the side of the building. How high up the side of the building does the ladder reach? If the ladder were 39 feet long and the bottom end were 15 feet from the side of the building, how high up the side of the building would the ladder reach? Compare answers and methods. Check the box next to the answer you all agree is correct.
a. 24 ft; 36 ft b. 16 ft; 24 ftc. 36 ft; 54 ft
20i) What are the following numbers in base 2? Check the box next to each correct answer.
20g) What are the following numerals in base 10? Work with a friend to find the answers. Check the box next to each answer you both agree is correct.