Name: ________________________________________ Period _____ Date ___________________________
Topic 1 REVIEW
Objectives: Student will be able to:
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Make reasonable estimates; estimating a sum, product, or quotient.
Divide using the long division algorithm
Choose the correct operation for solving real-world problems
Determine the greatest common factor and least common multiple
Write the prime factorization of a number
Solve problems involving common factors and multiples
Write and use expressions based on a given situation or area model
Apply Order of Operations with whole numbers
Write each expression in exponential form.
1)
6•6•6•6•6
2) 12 • 12 • 12
_________
1
3)
_________
4
1
1
4
4
• •
___________
Write each expression in expanded form and evaluate. Show your work and write your
answer on the line!
4)
7)
2
()
4
5
= ________
102 – 2(12 − 8 ÷ 4)
5)
105
= ___________
= ___________
8)
6)
33
(8 – 1)2 + 32
= ____________
= ___________
9)
11)
15 ÷ 3 • 10 – 52
= __________
Ava and her two friends went to the
zoo. Each ticket to enter the zoo
costs $7. Ava bought two bags of
peanuts for $4 each, and one of her
friends bought a monkey poster for
$12. Which expression shows how
much money they spent at the zoo
in all? CIRCLE your answer.
A) 7 + 4 + 12
C) 7 • 3 + 4 • 2 + 12
10)
10 – 2 • ( 4 ÷ 2 )2
12 )
In TyRik’s science class he is
studying cells. Cell A divides every
30 minutes. If TyRik starts with two
cells, how many cells will he have
in 3 hours? Circle your answer.
A)
512 cells
B)
128 cells
C)
32 cells
D)
6 cells
B) 7 •3 + 4 + 12
D) (7 •3) + (4 • 12)
= ________
Use the area model to answer #13 & #14
13) Which expression below represents the area of the shaded squares?
A) 4 + 2 + 3
B) (4 • 3) + (3 • 2) + 4
C) (3 • 42) + (32 • 2) + 4 • 12
14) Which expression below represents the area of the white (unshaded) squares?
A) 15 • 20 + 70
B) 15 • 20 – (42 • 3) - 4 - (2 • 32)
C) 15 • 20 – (4 • 3) + (3 • 23) + 4
D) None of the above
For #15 - #16, estimate each quotient and then use the long division algorithm to solve. If you
have a remainder, write the remainder as a fraction. Round when appropriate.
15)
A theater has 1209 seats in 39 equal rows. How many seats are in each row?
Estimate
16)
Actual- Show your work!:
__________seats
Emilio has 8400 trees to plant in rows on his tree farm. He can plant 115 trees in each
row. How many rows will he need in order to plant all the trees?
___________ rows are needed
Estimate
Actual – Show your work!
17) Determine the prime factorization for the following numbers:
72
72 = ____________________
18)
90
90 = _____________________
Suppose Mrs. Miller had 72 candy bars and 90 Tootsie Pops and she wanted to make
goody bags for her students.
a)
What is the greatest number of bags she could make?
__________
b)
How many of each type of candy would be in the bags?
______ candy bars
_______ Tootsie Pops
c)
Can you use the Distributive Property to write an expression that represents the
situation? In other words, write the sum of 72 + 90 as the product of the number
of bags times the sum of the quantity of each type of candy in each bag?
______________________
19)
Use the Distributive Property to write the sum as the product of the GCF and a sum with
no common factor.
a)
45 + 81
______________________
20)
b)
56 + 96
______________________
At the local burger shop, you receive a free beverage every 6th visit and free fries every
8th visit. On which visit will you receive both? (Show your work)
On the ________ visit
21)
Today, Ben and Jack will water their lawns. Jack waters his lawn every 4 days and Ben
waters his lawn every 6 days. In how many days from today will Ben and Jack water
their lawns on the same day? (Show your work)