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Lesson Quizzes
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7-1 Integer Exponents
7-2 Powers of 10 and Scientific Notation
7-3 Multiplication Properties of Exponents
7-4 Division Properties of Exponents
7-5 Fractional Exponents
7-6 Polynomials
7-7 Adding and Subtracting Polynomials
7-8 Multiplying Polynomials
7-9 Special Products of Binomials
7-1 Integer Exponents
Lesson Quiz: Part I
1. A square foot is 3–2 square yards. Simplify this
expression.
Simplify.
2. 2–6
3. (–7)–3
4. 60
5. –112
1
–121
7-1 Integer Exponents
Lesson Quiz: Part II
Evaluate each expression for the given
value(s) of the variables(s).
6. x–4 for x =10
7.
for a = 6 and b = 3
Simplify.
8. 4y–5
10.
9.
–3y6
7-2 Powers of 10 and Scientific Notation
Lesson Quiz: Part I
Find the value of each expression.
1.
3,745,000
2.
0.00293
3. The Pacific Ocean has an area of about 6.4 х 107
square miles. Its volume is about 170,000,000
cubic miles.
a. Write the area of the Pacific Ocean in standard
form.
b. Write the volume of the Pacific Ocean in scientific
notation. 1.7  108 mi3
7-2 Powers of 10 and Scientific Notation
Lesson Quiz: Part II
Find the value of each expression.
4. Order the list of numbers from least to
greatest.
,
7-3 Multiplication Properties of Exponents
Lesson Quiz: Part I
Simplify.
1. 32 • 34
2.
3. (x3)2
4.
5.
6.
7.
7-3 Multiplication Properties of Exponents
Lesson Quiz: Part II
8. The islands of Samoa have an approximate
area of 2.9  103 square kilometers. The area
of Texas is about 2.3  102 times as great as
that of the islands. What is the approximate
area of Texas? Write your answer in scientific
notation.
6.67 × 105 km2
7-4 Division Properties of Exponents
Lesson Quiz: Part I
Simplify.
1.
2.
3.
4.
5.
7-4 Division Properties of Exponents
Lesson Quiz: Part II
Simplify.
6. Simplify (3  1012) ÷ (5  105) and write the
answer in scientific notation. 6  106
7. The Republic of Botswana has an area of
6  105 square kilometers. Its population is
about 1.62  106. What is the population
density of Botswana? Write your answer in
standard form.
2.7 people/km2
7-5 Fractional Exponents
Lesson Quiz: Part I
Simplify each expression.
1.
2
2.
9
3.
729
4.
128
7-5 Fractional Exponents
Lesson Quiz: Part II
5. In an experiment, the approximate population P
of a bacteria colony is given by
, where t is the number of days since the
start of the experiment. Find the population of the
colony on the 8th day. 480
Simplify. All variables represent nonnegative
numbers.
6.
7.
7-6 Polynomials
Lesson Quiz: Part I
Find the degree of each polynomial.
1. 7a3b2 – 2a4 + 4b – 15
2. 25x2 – 3x4
5
4
Write each polynomial in standard form. Then
give the leading coefficient.
3. 24g3 + 10 + 7g5 – g2 7g5 + 24g3 – g2 + 10; 7
4. 14 – x4 + 3x2
–x4 + 3x2 + 14; –1
7-6 Polynomials
Lesson Quiz: Part II
Classify each polynomial according to its
degree and number of terms.
5. 18x2 – 12x + 5
6. 2x4 – 1
quadratic trinomial
quartic binomial
7. The polynomial 3.675v + 0.096v2 is used to
estimate the stopping distance in feet for a car
whose speed is v miles per hour on flat, dry
pavement. What is the stopping distance for a
car traveling at 70 miles per hour?
727.65 ft
7-6 Polynomials
Lesson Quiz: Part IIl
Tell whether each number is a root of
3p2 – 8 + 4.
8. 2
yes
9. –2
no
7-7 Adding and Subtracting Polynomials
Lesson Quiz: Part I
Add or subtract.
1. 7m2 + 3m + 4m2
11m2 + 3m
2. (r2 + s2) – (5r2 + 4s2)
–4r2 – 3s2
3. (10pq + 3p) + (2pq – 5p + 6pq) 18pq – 2p
4. (14d2 – 8) + (6d2 – 2d + 1) 20d2 – 2d – 7
5. (2.5ab + 14b) – (–1.5ab + 4b)
4ab + 10b
7-7 Adding and Subtracting Polynomials
Lesson Quiz: Part II
6. A painter must add the areas of two walls to
determine the amount of paint needed. The area
of the first wall is modeled by 4x2 + 12x + 9, and
the area of the second wall is modeled by
36x2 – 12x + 1. Write a polynomial that
represents the total area of the two walls.
40x2 + 10
7-8 Multiplying Polynomials
Lesson Quiz: Part I
Multiply.
1. (6s2t2)(3st) 18s3t3
2. 4xy2(x + y) 4x2y2 + 4xy3
3. (x + 2)(x – 8) x2 – 6x – 16
4. (2x – 7)(x2 + 3x – 4) 2x3 – x2 – 29x + 28
5. 6mn(m2 + 10mn – 2)
6m3n + 60m2n2 – 12mn
6. (2x – 5y)(3x + y) 6x2 – 13xy – 5y2
7-8 Multiplying Polynomials
Lesson Quiz: Part II
7. A triangle has a base that is 4 cm longer than its
height.
a. Write a polynomial that represents the area
of the triangle.
1 2
h + 2h
2
b. Find the area when the height is 8 cm.
48 cm2
7-9 Special Products of Binomials
Lesson Quiz: Part I
Multiply.
1. (x + 7)2 x2 + 14x + 49
2. (x – 2)2
x2 – 4x + 4
3. (5x + 2y)2
25x2 + 20xy + 4y2
4. (2x – 9y)2
4x2 – 36xy + 81y2
5. (4x + 5y)(4x – 5y) 16x2 – 25y2
6. (m2 + 2n)(m2 – 2n)
m4 – 4n2
7-9 Special Products of Binomials
Lesson Quiz: Part II
7. Write a polynomial that represents the shaded
area of the figure below.
x+6
x–7
x–6
x–7
14x – 85