Grade 7 Pre-algebra Review

1. Find the GCF of 27 and 45

Find the GCF and LCM of the
monomials .

16a²
24a³

2. GCF ____________
3. LCM ____________

4.) Write 7.23 x 10⁵ in standard form

5) Change .00567 to scientific notation

6. Factor the monomial 40m²n

Write

in simplest form .

Find the product . Write your answer using
positive exponents .

11) Solve for n .

12) A woman is standing next to a tree. She
is 64 inches and cast a 24 inch shadow. The
tree’s shadow is 67.5 inches long. How tall is
the tree. Circle the correct answer.
a. 10 feet
b. 15 feet
c. 22.75 feet
d. 180 feet

Write

in simplest form and then
convert it into a decimal.
13) Simplest Form ___________
14) Decimal _______________

15) Solve for t.

16) Simplify.

17) Order the numbers from least to greatest .

18) Simplify

19) The two figures below are similar. Find
the length of MN

A map has a scale of 1 centimeter to
50 kilometers. From Illinois to
Wisconsin is 2.5 centimeters.

20) What is the distance between the
two cities on the map?

21) Write an explanation for your
answers.

A restaurant sells drinks in 3sizes of cups:
small, medium, large. The small cups costs
$0.89 and hold 9 ounces. The medium cup
costs $1.29 and hold 12 ounces. The large
cup costs $1.59 and hold 15 ounces.

22) Which cup is the better buy?

23) Explain your answer using numbers
and/or words.

24) A store sells 16 cookies for
$11.88. How much does it cost for 1
cookie?

Mike drew a rectangular design that was 10
inches in width and 8 inches length. He
wanted to enlarge his picture so that the width
was 20 inches. What was the length of the
enlarged design? Draw a diagram and
explain your answer.
25) Sketch:
26) Solution :
27) Explanation:

Students surveyed their class to see which fruit they liked and did not like. The
results were shown in the table below.

Fruit	# of people liked	# of people disliked
Banana	3	15
Apple	6	13
Orange	1	5

28) What is the ratio of people who liked apples to the people who did not like
apples?

29) What is the ratio of people who like bananas to the people who liked apples?

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