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WorksheetsAlgebra Quarter 3 Review EC
Total questions: 80
Worksheet time: 6hrs 39mins
Name
Class
Date
1.
What is the simplified form of
(3.25 x 103)(7.8 x 106)
(3.25 x 103)(7.8 x 106)
a)
2.535 x 1010
b)
2.535 x 1018
c)
2.535 x 1019
d)
2.535 x 109
2.
What is the simplified version of
(5.2 x 1013) / (1.3 x 10-7)
(5.2 x 1013) / (1.3 x 10-7)
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
3.
What is the simplified form of
(3.25 x 103)(7.8 x 106)
(3.25 x 103)(7.8 x 106)
a)
2.535 x 1010
b)
2.535 x 1018
c)
2.535 x 1019
d)
2.535 x 109
4.
When writing scientific notation, you must use a number equal to 0 but less than 10. TRUE OR FLASE
a)
TRUE
b)
FALSE
5.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
6.
a)
$283,890
b)
$238,900
c)
$233,890
d)
$280,120
7.
a)
$13.23
b)
$15.26
c)
$18.00
d)
$19.74
8.
a)
125,322 subscribers
b)
203,218 subscribers
c)
213,378 subscribers
d)
313,456 subscribers
9.
In the equation y=2(5)x , the a value (y-intercept) is...
a)
356
b)
5
c)
10
d)
2
10.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
11.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
12.
(t-6)-5
a)
t-11
b)
t-30
c)
t30
d)
t11
13.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
14.
Simplify
(3x3y5)4
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
15.
Simplify:
a)
A
b)
B
c)
C
d)
D
16.
Simplify
a)
x28y12 / x2y
b)
x28y12 / x8y4
c)
x20y8
17.
(3x)0
a)
(3x)1
b)
01
c)
1
d)
3x
18.
n9 • n7 • n3
a)
n973
b)
n189
c)
n19
d)
n20
19.
a)
Growth
b)
Decay
20.
a)
Growth
b)
Decay
21.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
22.
Is the equation linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
23.
Is the equation linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
24.
Is the table linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
25.
Is the table linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
26.
Is the table linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
27.
Any number (except 0) raised to a zero power (100) will always be______?
a)
ZERO
b)
THAT NUMBER ITSELF
c)
ONE
d)
UNDEFINED
28.
Simplify 3-3
a)
-27
b)
-9
c)
-1/9
d)
1/27
29.
Simplify x-7
a)
-7
b)
-7x
c)
1/x7
d)
-1/x7
30.
Which is greater, 26540 or -50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
31.
Simplify the expression.
x4 (x12)
x4 (x12)
a)
x3
b)
x48
c)
x16
d)
x8
32.
Simplify x3y2z6x-1yz-5
a)
x2y3z
b)
x2y2z11
c)
x4y3z11
d)
x2z
33.
a)
a8b13
b)
a2b7
c)
a15b30
34.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
35.
What does the P in A=P(1+r)t represent?
a)
Time
b)
Rate
c)
Slope
d)
Initial Amount
36.
Simplify (34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
37.
Simplify
(2m4)(5m2)
(2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
38.
Multiply
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5××
39.
Simplify.
a)
(2x-18) / y4
b)
(2x3) / y
c)
y12 / (8x18)
d)
none of these
40.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
41.
Solve the equation.
a)
A
b)
B
c)
C
d)
D
42.
Solve
a)
-5
b)
5
c)
10
d)
25
43.
Solve
a)
102
b)
12
c)
98
d)
7
44.
Solve
a)
-14
b)
14
c)
no solution
d)
28
45.
Solve the radical equation
a)
9
b)
82
c)
-9
d)
-82
46.
Solve the radical equation
a)
25
b)
50
c)
125
d)
5
47.
Find the value of x.
a)
√33
b)
√29
c)
√35
d)
√41
48.
Find the value of x.
a)
2√5
b)
3√5
c)
4√5
d)
10√5
49.
Does the set of numbers represent a Pythagorean Triple.
10, 24, 26
10, 24, 26
a)
Yes
b)
No
50.
Does the set of numbers represent a Pythagorean Triple.
4, 5, 6
4, 5, 6
a)
Yes
b)
No
51.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
52.
The legs form what type of angle?
a)
Acute
b)
Obtuse
c)
Reflex
d)
Right
53.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
54.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
55.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
56.
The Pythagorean Theorem is
a2 + b2 + c2
a2 + b2 + c2
a)
false
b)
true
57.
Side a on a right triangle is ALWAYS the longest side.
a)
true
b)
false
58.
you ADD a2 and b2 then take the square root to find c on a right triangle.
a)
true
b)
false
59.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
60.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
61.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
62.
√300 + √75
a)
15√3
b)
√375
c)
20√5
d)
16√5
63.
√5 + √20
a)
5
b)
25
c)
3√5
d)
2√3
64.
Simplify
a)
x²y√xy
b)
xy
c)
x²y²
d)
Can't Simplify
65.
Simplify:
√6 ⋅√6
√6 ⋅√6
a)
√36
b)
2√3
c)
12
d)
6
66.
Perform the operation. Express your answer in simplest form.
a)
(2k√2)/(3k4)
b)
(2√2)/(3k3)
c)
(2k2√2)/(3k6)
d)
(4k2√2)/(9k6)
67.
Which of the following is NOT a perfect square?
a)
1
b)
4
c)
100
d)
8
68.
Simplify:
a)
√5
b)
(√14)/2
c)
√7
d)
Cannot be simplified
69.
Multiply the radicals
(-7+√3)(4+√3)
(-7+√3)(4+√3)
a)
-21-3√3
b)
37+11√3
c)
21-3√3
d)
21+11√3
70.
(7 − √2)(5 + √3)
a)
35 + 7√3 − 5√2 − √6
b)
29 + 7√3 − 5√2
c)
35 +√10 − √7 −√6
d)
√50
71.
True or False: The following list contains only perfect squares.
1, 4, 9, 27, 81, 100
1, 4, 9, 27, 81, 100
a)
True
b)
False
72.
Simplify 5√6 ⋅ 6√18
a)
6√3
b)
66√3
c)
2√6
d)
180√3
73.
Simplify -2√10 ⋅ 3√20
a)
-60√2
b)
10√2
c)
√30
d)
-6√200
74.
√169
a)
√13
b)
13
75.
a)
A
b)
B
c)
C
d)
D
76.
Simplify the following radical: √150
a)
5√15
b)
5√2
c)
5√6
d)
15√5
77.
√98a20c15
a)
7c√a¹⁰c⁷
b)
7a¹⁰c⁷√2
c)
49a¹⁰c⁷√2c
d)
7a¹⁰c⁷√2c
78.
√36n4
a)
6n
b)
6n⁴
c)
6n²√2
d)
6n²
79.
What is the simplified form of √140
a)
4√35
b)
10√14
c)
2√70
d)
2√35
80.
Simplify the radical - 3√27
a)
9
b)
9√3
c)
3√9
d)
3
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