Download Unit 2 review activity

Math 7/8
Unit 2: Working with Radicals
Review
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#1
Simplify and rewrite with positive
exponents.
5
3
a) 5c p h
6
8
b)
24a b
6
3a
3
#1 Answer
a)
5p
5 6
c h
b)
8
2 3
a b
#2
Simplify:
a) 15
b)
17  7 17
13  3  8 13
#2 Answer
a) 2 17
b) 9 13  3
#3
How much greater is 7.9 x 10³ than
3.1 x 10
-2
# 3 Answer
7899.969
#4
Simplify:
a)
6
15
b)
7
3
#4 Answer
a) 10
5
b)
21
#5
Which point on the number line
is closest to
27
A
-1
0
1
2
B C
3
4
D
5
#5 Answer
D
#6
Solve:
529
#6 Answer
23
#7
Estimate the
 140
#7 Answer
12
#8
Which of the following radicals is
rational?
a)
b)
c)
d)
379
85
256
97
#8 Answer
256
#9
Simplify:
3
20
#9 Answer
2 15
#10
9 17  15 17
#10 Answer
6 17
#11
Simplify:
7
8
#11 Answer
14
4
#12
( n10)
What is 2
when n = 4?
#12 Answer
64
#13
Simplify:
A) 8  8
0
B) 130
C) (2)
6
D) 1
5
1
3
#13 Answer
a) 8² = 64
b) 1
c)  1
2
d) 1
#14
Simplify:
9
14
12
(9 )
#14 Answer
1
81
#15
Simplify the quotient and write the
answer in scientific notation.
(32 x 10 )  8 x 10
15
9
#15 Answer
4 x 10
6
#16
What is the product of 90,000 x 40
written in scientific notation?
#16 Answer
3.6 x 10
6
#17
What is the standard form of
4.2 x 10
-6
#17 Answer
.0000042
#18
To the nearest meter, how long is
the diagonal of an 18m by 24m
field?
#18 Answer
30 meters
#19
The area of a square field is 4900 ft², how
would you find the distance from 1st base
to 3rd base?
#19 Answer
You would find the square root of
4900, then substitute the square
root into the legs for the
Pythagorean Theorem and solve
for the hypotenuse
#20
A 20-ft ladder is leaning against a
house. The bottom of the ladder
is 3 ft from the house. To the
nearest tenth of a foot, about how
high does the top of the ladder
reach?
#20 Answer
About 19.8 ft.
#21
You are building a wooden box. The largest
board you have is 26 ft. What would be
the length of the other two sides?
a) 9 ft and 25 ft.
b) 7 ft and 23 ft.
c) 6 ft and 23 ft.
d) 10 ft and 24 ft
#21 Answer
D) 10 ft and 24 ft
#22
State whether you agree or
disagree with this statement and
explain why:
“All radical expressions are
irrational.”
#22 Answer
Disagree – a radical expression
could be a perfect square,
therefore resulting in a positive
or negative integer that is
rational
#23
How do you know which side of a
right triangle is the hypotenuse?
#23 Answer
The hypotenuse is across from the
right angle
#24
Why is scientific notation useful?
#24 Answer
It is an easier way to write/read
very large or very small numbers
#25
Answer each of the following expressions
with an estimate or value, state whether
the number is rational or irrational, graph
on a number line:
a) The negative square root of 64
b) The positive square root of 5
#25 Answer
a) 8, rational
b) ~2.23, irrational