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WorksheetsAlgebra Ch. 6 & GGG Review
Total questions: 57
Worksheet time: 3hrs 30mins
Name
Class
Date
1.
A car is purchased for $28,000. The value of the car depreciates 15% per year. What is the value of the car after 5 years?
a)
$12,424
b)
$10,560
c)
$5,600
d)
$56,318
2.
Suppose a radioactive substance loses half of its remaining mass each day. How much of a 50 gram sample will remain after 7 days?
a)
7.14 grams
b)
3.125
c)
0.78 grams
d)
0.39 grams
3.
Which equation represents exponential decay?
a)
y = 0.3x
b)
y = 3x
c)
y = 100(0.5)x
d)
y = 0.5(100)x
4.
What is the decay rate in the following model?
A=1200(.85)6
a)
85%
b)
15%
c)
6%
d)
1200
5.
What is a, the starting term, for the function: f(x) = 800(0.85)x?
a)
800
b)
0.85
c)
0.15
d)
x
6.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
7.
Is the pictured graph exponential growth, exponential decay, linear or none?
a)
Growth
b)
Decay
c)
Linear
d)
None
8.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
9.
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
10.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
11.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
12.
Anything raised to a power of zero except for zero is always:
a)
0
b)
1
c)
itself
d)
negative
13.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
14.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
15.
How do you solve:
(2x5)(6x4)
(2x5)(6x4)
a)
MULTIPLY coefficients
MULTIPLY exponents
MULTIPLY exponents
b)
DIVIDE coefficients
SUBTRACT exponents
SUBTRACT exponents
c)
Combine like terms
d)
MULTIPLY coefficients
ADD exponents
ADD exponents
16.
How would you change this to a positive exponent:
1/x-3
1/x-3
a)
1/x3
b)
x3
c)
3x
d)
1/3x
17.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
18.
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
19.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(4)9
20.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
21.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
22.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
23.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
24.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
25.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
26.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
27.
a)
81x28/y8
b)
12x28/y8
c)
3x11/y6
d)
3x28/y8
28.
a)
A
b)
B
c)
C
d)
D
29.
a)
A
b)
B
c)
C
d)
D
30.
Write the recursive formula for 6, 17, 28, 39, 50....
a)
an=an-1+11
b)
an=an-1-4
c)
an=an-1+9
d)
an=an-1+6
31.
Write the recursive formula of 13, 9, 5...
a)
an=an-1-4
b)
an=an-1+3
c)
an=an-1-5
d)
an=an-1+4
32.
Is the Equation Linear or Exponential?
a)
Linear
b)
Exponential
33.
Is the Equation Linear or Exponential?
a)
Linear
b)
Exponential
34.
What is the equation of the following table
a)
y = 5(2)x
b)
y = 10(2)x
c)
y = 10x + 5
d)
y = 2x + 10
35.
What is the equation of the following table
a)
y = 5(2)x
b)
y = 10(2)x
c)
y = 10x + 5
d)
y = 2x + 10
36.
a)
7/ u3
b)
7u11
c)
7u1.75
d)
7u3
37.
a)
k12/ 9
b)
9k2
c)
1 / 9k2
d)
9 / k2
38.
a)
4c10d40
b)
4c7d9
c)
4c7d13
d)
4c7d11
39.
a)
2√x5
b)
5√x2
c)
2x / 5
d)
x2/ 5
40.
a)
a4/ 3
b)
6√a5
c)
9√a4
d)
3√a4
41.
Re-write the expression in radical form.
x2/3
x2/3
a)
(∛x)2
b)
√x3
c)
(1/x)
d)
∛x
42.
What is the value of 27⅓?
a)
27
b)
9
c)
3
d)
1/3
43.
Simplify:
a)
2
b)
8
c)
16
d)
32
44.
Simplify the following expression:
a)
16
b)
32
c)
40
d)
64
45.
Simplify the following expression:
a)
2
b)
4
c)
16
d)
64
46.
The number under the radical sign or square root sign is called the ______.
a)
radical sign
b)
radicand
c)
factor
d)
exponent
47.
The expression can be written equivalently with the following exponent on x.
a)
5/9
b)
9/5
c)
4
d)
45
48.
How do you write
8.317 x 106
in standard form?
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
49.
Express the following in standard notation:
8.025 x 10-8
a)
.00000008025
b)
.000000008025
c)
802,500,000,000
d)
80,250,000,000
50.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
51.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
52.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 10-4
c)
5 x 10-3
d)
.5 x 103
53.
Multiply:
(3.4 x 105)(1.2 x 10-3)
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
54.
Divide:
(6.9 x 107) / (2.3 x 10-3)
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
55.
a)
A
b)
B
c)
C
d)
D
56.
a)
12
b)
8
c)
6
d)
2
57.
a)
16
b)
8
c)
4
d)
2
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