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Exponents, Radicals & Scientific Notation Test
Objective: Students will be able to apply mathematical concepts for
assessment.
Do Now: Go over Home Work – Exponents, Radicals Math Test Review.
Answer any questions.
Exponents, Radicals & Scientific Notation Test
Have students complete Exponents, Radicals & Scientific Notation Test.
This test assesses students’ retention of the following lessons:
Part I:
Introduction to Exponents
Multiplying & Dividing Exponents
Square Roots Introduction
Scientific Notation
Part II:
Simplifying Radicals
Adding & Subtracting Radicals
(NOTE: The answer for #14 has a negative exponent. If students have not covered
negative exponents, change the exponent so that it is positive.)
Copyright © 2012 Joe Fraioli
All rights reserved by author.
Permission to copy for classroom use only.
Electronic distribution limited to classroom use only.
http://www.teacherspayteachers.com/Store/Joe-Fraioli
NAME____________________ DATE______
CLASS
Exponents, Radicals, Scientific Notation Math Test – Part I
Objective: Students will be able to activate prior learning to apply math concepts for
assessment.
Find the value of the expression.
1) 72 = 4)
24
9=
2) (-6)3 = 5) (0.3)
2 =
3) 5-2
= 6) 130 =
Simplify. Write your answers with positive exponents.
7) 96 × 9
5 = 13)
9
0
10
10 =
8) 53 × 5
2 = 14)
5
12
x
x =
9) x4 × x
3 = 15)
3
2
18
3
m
m =
10) 7k2 × 4k
9 = 16)
345q =
11) 8m2n
3 × 4mn
4 = 17)
3 236
4
x y
xy
12) 8
313 = 18) 4 6 8
2 5 2
21
3
p q r
p q r =
Find the two square roots of each number.
19) 81 = 22) 1
25 =
20) 121 = 23) 0.09 =
21) 64
100 = 24) 0.64 =
Write the two consecutive integers the square root is between.
25) 35 = 26) 110 =
27) Write 0.0000049 in scientific notation.
28) Write 8.003 × 107 in standard notation.
Simplify each expression. Write each answer in scientific notation.
29) (4 × 1013
)(8 × 107) 31) (9 × 10
16)
2
30) (3.5 × 10-4
)(6.2 × 10-9
) 32) 12
19
3.2 10
2 10
NAME____________________ DATE______
CLASS
Exponents, Radicals, Scientific Notation Math Test – Part II
Simplify each radical expression.
33) 7 120 = 34) 7 6 2 10 =
35) 3 6 2 8 = 36) 5 5 8 15 =
Simplify each radical expression.
37) 532m = 38) 3 52 6 5 10x x =
Simplify each radical expression.
39) 7
2
88
81
y
y = 40)
5
3
90
50
x
x =
Simplify each expression.
41) 6 3 2 3 = 42) 3 6 4 24 =
43) 10 7 2 15 = 44) 6 3 8 6 =
NAME____ANSWER KEY_
Exponents, Radicals, Scientific Notation Math Test – Part I
Objective: Students will be able to activate prior learning to apply math concepts for
assessment.
Find the value of the expression.
1) 72 = 49 4)
24
9=
16
81
2) (-6)3 = -216 5) (0.3)
2 = 0.09
3) 5-2
= 1
25 6) 13
0 = 1
Simplify. Write your answers with positive exponents.
7) 96 × 9
5 = 9
11 13)
9
0
10
10 = 10
9
8) 53 × 5
2 = 5
5 14)
5
12
x
x =
7
1
x
9) x4 × x
3 = x
7 15)
3
2
18
3
m
m = 6m
10) 7k2 × 4k
9 = 28k
11 16)
345q = 125q
12
11) 8m2n
3 × 4mn
4 = 32m
3n
7 17)
3 236
4
x y
xy= -9x
2y
12) 8
313 = 1324
18) 4 6 8
2 5 2
21
3
p q r
p q r = 7p
2qr
6
Find the two square roots of each number.
19) 81 = 9, -9 22) 1
25 =
1 1,
5 5
20) 121 = 11, -11 23) 0.09 = 0.3, -0.3
21) 64
100 =
4 4,
5 5 24) 0.64 = 0.8, -0.8
Write the two integers the square root is between.
25) 35 = 5 and 6 26) 110 = 10 and 11
27) Write 0.0000049 in scientific notation.
4.9 × 10-6
28) Write 8.003 × 107 in standard notation.
80,030,000
Simplify each expression. Write each answer in scientific notation.
29) (4 × 1013
)(8 × 107) 31) (9 × 10
16)
2
3.2 × 1021
8.1 × 1033
30) (3.5 × 10-4
)(6.2 × 10-9
) 32) 12
19
3.2 10
2 10
2.17 × 10-12
1.6 × 10-7
NAME__ANSWER KEY_
Exponents, Radicals, Scientific Notation Math Test – Part II
Simplify each radical expression.
33) 7 120 = 14 30 34) 7 6 2 10 = 28 15
35) 3 6 2 8 = 24 3 36) 5 5 8 15 = 200 3
Simplify each radical expression.
37) 532m = 24 2m m 38) 3 52 6 5 10x x = 420 15x
Simplify each radical expression.
39) 7
2
88
81
y
y =
22 22
9
y y 40)
5
3
90
50
x
x =
3 5
5
x
Simplify each expression.
41) 6 3 2 3 = 8 3 42) 3 6 4 24 = 11 6
43) 10 7 2 15 = 7 10 10 6 44) 6 3 8 6 = 3 6 48
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5. Patterns & Sequences Lesson Plan $2.00
6. Introduction to Exponents (High School) Lesson Plan $2.00
Introduction to Exponents (Middle School) Lesson Plan $1.99
7. Scientific Notation Lesson Plan $2.00
8. Introduction to Square Roots Lesson Plan $2.00
9. Simplifying Radicals Lesson Plan $1.99
10. Adding & Subtracting Radical Terms Lesson Plan $1.99
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12. Math Test: Exponents, Radicals, Sci Notation Math Test $1.00
13. Multiplication & Division with Exponents (HS) Lesson Plan $2.00
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Other Functions
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54. Exponential Functions in the Real World Lesson Plan $1.99
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UNIT PLANS
1. Quadratic Functions Unit Plan $9.00
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Graphing a Parabola from a Quadratic Function Lesson Plan & PowerPoint
Quadratic Functions (Part II) Lesson Plan & PowerPoint
Quadratic Functions & the Axis of Symmetry Lesson Plan
Quadratic Functions Literacy Lesson Lesson Plan
Quadratic Functions Test Test
2. Trigonometry Unit Plan $10.00
Includes the following lessons:
Introduction to Trigonometry Lesson Plan
The Sine Ratio Lesson Plan
The Cosine Ratio Lesson Plan
The Tangent Ratio Lesson Plan
Sine, Cosine &Tangent Lesson Plan
Inverse Trigonometric Ratios Lesson Plan
Applications of Trigonometry Lesson Plan
Trigonometry Test Test
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Copyright © 2012 Joe Fraioli