Square root Practice test
Date
Name
Write down all the work necessary for the problem, this is a part of your class notes that
you can use to study from. You will not be able to use notes on quizzes or tests. DO NOT
simply write it and toss it away.
1. Calculating Square roots:
Find each of the following: √
a2 = a1
a2 = (a1 )(a1 )
√
a4 = (a2 )(a2 )
a4 =
√
a6 = (a3 )(a3 )
a6 =
√
a8 =
a8 =
√
a10 =
a10 =
√
a12 =
a12 =
√
a14 =
a14 =
− − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − −−
Find each of the following:
√
12 =
1=
√
2
2 =
4=
√
2
3 =
9=
√
2
4 =
16 =
√
2
5 =
25 =
√
2
6 =
36 =
√
2
7 =
49 =
√
2
8 =
64 =
√
2
9 =
81 =
√
102 =
100 =
√
2
11 =
121 =
√
2
12 =
144 =
√
2
13 =
q169 =
142 =
= 14
q
152 =
= 15
− − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − −−
2. Calculation involving square root:
Use the table completed above to calculate each of the following:
√
√
√
√
a) 196 + 16 =
b) 121 + 225 =
√
√
√
√
c) 49 + 4 =
d) 1 + 25 =
D. Lee
Math 8
February 15-16, 2017
Square root Practice test
Date
√
1 − 225 =
√
√
g) 36 − 9 =
e)
√
Name
√
64 − 169 =
√
√
h) 196 − 100 =
√
144 × 121 =
√
√
k) 81 × 49 =
i)
√
m)
o)
√
√121 =
196
√
100
√
=
4
√
√
j) 144 × 144 =
√
√
l) 100 × 225 =
√
√25
16
√
√81
16
n)
p)
3. Calculation involving square root:
√
√
a) a50 × a6 =
c)
e)
g)
√
12
√a
a24
√
=
√
b2 × b16 =
√
14
√d
d14
=
p
p
i) j 10 × j 20 =
k)
a)
√
30
√m
m28
=
√
√
c)
h)
√
√ 16
169
=
4. Simplifying monomials:
14−3 1415 =
121(−7) 1214 =
7−3 715 =
1(−7) 104 =
D. Lee
=
b)
√
8
√a
82
a
√
32
√h
h6
=
=
f)
√
√
=
j)
√
q 30
l) √ 40 =
a20 ×
c28 ×
√
√
a12 =
√
k 42 ×
c18 =
√
k 24 =
q
√
225 + 196 =
√
√
d) 25 − 144 =
√
√
f) 169 × 225 =
49 =
√
√
c) 100 − 121 =
√
√
e) 49 × 64 =
g)
1+
√
f)
b)
h)
√
√ 49
196
627 622 =
b5 b19 =
6−7 6−12 =
b−5 b−19 =
Math 8
√
=
(−2)(−8) (−2)10 =
c7 c7 =
(−5)(8) (−5)−10 =
(−3−7 (−3)−7 =
February 15-16, 2017
Square root Practice test
5. Simplifying monomials:
14−3 1415 =
Date
627 622 =
121(−7) 1214 =
7−3 715 =
1(−7) 104 =
√
44
√a
a22
(−2)(−8) (−2)10 =
b5 b19 =
c7 c7 =
6−7 6−12 =
(−5)(8) (−5)−10 =
b−5 b−19 =
6. Calculate each of the following:
√
√
e) a34 × a4 =
g)
Name
h)
=
(−3−7 (−3)−7 =
√
16
√a
a62
f)
√
√
a16 × a2 =
=
7. Write Each of the following in terms of an exponent
(−3)−8 3−7
a7 b−3
77 4−2
=
=
=
a−2 b4
45 7−8
(−3)−15 3−12
82 5−3
87 5−8
(4) −7
−2 7
(J) p
c d
=
=
=
c3 d(−13)
(J)(−3) p(−5)
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
8. Calculating
√ 2 √ exponents:
a) ( 9) − 25
b) (−4)3 +
√
196 = x
c) (2)6 ×
√
49
√
√ 2
√
√
b) (−1)0 + ( 64) = x
c) (2)−5 × 16
a) 16 + 16 × 4
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
9. Finding slope
f (x) = (slope)x+(y−intercept)
√and equation: Show ALL your work.
√
53
a) Given ( 5 , 169), and and y − intercept = 81. Find the equation of the line.
a) slope:
a) equation:
√
3 √
a) Given ( 223 , 49), and and y − intercept = 121. Find the equation of the line.
a) slope:
D. Lee
a) equation:
Math 8
February 15-16, 2017
Square root Practice test
Date
Name
10. Graph the√following equation:
y = −2
x + ( 16)
4
y - intercept :
Slope:
y = 53 x +
√
64
y - intercept :
Slope:
D. Lee
Math 8
February 15-16, 2017