Unit II Exam
- Order of Operations: Solve the following, using the order of operations.
a. (4×6+2-3×2)÷2=10
b. 2x(4+3)-6=8
c. Sarah opens a small business selling handmade bracelets. She starts with $40. She spends
$35 on supplies to make 20 bracelets. She then sells these bracelets for $4 each. How much
money does Sarah end up with? answer: 70 - Prime Numbers: Circle the prime numbers listed below.
14 23- 79- 132 37,985 31- 83- - Factoring:
Reduce the following numbers to their prime factors.
a. 38 2, 20
b. 284 2, 2 71
Find the greatest common factor between:
c. 28 and 36 4
d. 144 and 192 52
Find the least common multiple between:
e. 18 and 35 430
f. 52 and 26 52 - Addition of Fractions: Find the sum. Give your answer in simplified form.
a.
6
10
- 3 1
4 = 3 17/20
b. 2
3
5
8 =1 7/24
- Subtraction of Fractions: Find the difference. Give your answer in simplified form.
a. 4 1
3 – 2 5
9 = 1 7/5
b. 7
10 –
2
3 = 1/30 - Multiplication of Fractions: Find the product. Give your answer in simplified form.
a. 7 5
8
x 1 1
4 = 6 17/30
b. 15
20
x 3 = 2 1/4 - Division of Fractions: Find the quotient. Give you answer in simplified form.
a. 7 5
8
÷ 1 1
4 = 4 5/15
b. 16
20
÷ 6 = 4 6/20 - Fractions Word Problems: Identify whether you must add, subtract, multiply, or divide. Solve the
problem and give your answer in simplified form. Remember to use the given units in your final
answer.
a. Samuel wants a new radio for his birthday, and each of his siblings agree to pay for 1/5 of
the cost of the radio. The radio costs $32. How much will each sibling contribute answer: 6$
b. Jordan and his friends are spending the day at an amusement park. They have about 12 ½
hours to spend at the park. They spend 3 ½ hours in the water park, 1 3/5 hours in the
arcade, and 4 2/3 hours riding roller coasters. How many hours do they have left? answer: 2 hours
c. Eric is filling a sandbox for his younger sister. Each bag of sand contains about 1 2/3 gallons
of sand. The entire sand box will hold about 25 ½ gallons. How many bags of sand will Eric
need in order to fill the sand box? answer: 15 bags of sand
d. Cynthia is planning to create a new vegetable garden. She is laying out how much space
each vegetable will have in the garden, and plans what fraction of the garden each
vegetable should have. The tomatoes will take up ¼, the lettuce will take up 1/8, the green
beans will need 1/16, the peppers will need 3/8, and the herbs will need 1/16. How much
space will these plants take up in the new garden? What fraction of the garden does Cynthia
have left? 2/4 of the garden.
Lesson Learning 