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Pre-Algebra
Chapter 4 Review
Basic Test Sections
1 – Exponents
2 – Simplifying Exponents
3 – Scientific Notation
4 – Factors, Multiples, & Divisibility
5 – Prime Factorization
6 – GCF & LCM
Chapter 4 Review
1) Evaluate.
a) (-2)4
b)
-24
Chapter 4 Review
1) Evaluate.
a) (-2)4 = 16
b)
-24
= -16
Chapter 4 Review
2) Evaluate.
a) 60
b)
(2y)3
for y = -1
Chapter 4 Review
2) Evaluate.
a) 60 = 1
b)
(2y)3
for y = -1
= -8
Chapter 4 Review
3) Write in scientific notation.
a) 384,000
b)
0.000372
c)
1234.56
Chapter 4 Review
3) Write in scientific notation.
a) 384,000 = 3.84 x 105
b)
0.000372 = 3.72 x 10-4
c)
1234.56 = 1.23456 x 103
Chapter 4 Review
4) Write in standard notation.
a) 2.51 x 104
b)
2.51 x 10-4
c)
3.75 x 101
Chapter 4 Review
4) Write in standard notation.
a) 2.51 x 104 = 25,100
b)
2.51 x 10-4 = 0.000251
c)
3.75 x 101 = 37.5
Chapter 4 Review
5) List all the factors of.
a) 32
b)
17
Chapter 4 Review
5) List all the factors of.
a) 32: 1, 2, 4, 8, 16, 32
b)
17: 1, 17
Chapter 4 Review
6) List the first 4 multiples of (starting with zero).
a) 5
b)
12
Chapter 4 Review
6) List the first 4 multiples of (starting with zero).
a) 5: 0, 5, 10, 15
b)
12: 0, 12, 24, 36
Chapter 4 Review
7)
a)
Write the prime factorization of 360.
b)
Write the GCF of 21 and 63.
c)
Write the LCM of 21 and 63.
Chapter 4 Review
7)
a)
Write the prime factorization of 360.
23 32 5
b)
Write the GCF of 21 and 63. 21
c)
Write the LCM of 21 and 63. 63
Chapter 4 Review
8)
Write the GCF and LCM of
a) 12a5b, 6ab
b)
x4y3z, 200x2y4
Chapter 4 Review
8)
Write the GCF and LCM of
a) 12a5b, 6ab
GCF = 6ab
LCM = 12a5b
b)
x4y3z, 200x2y4
GCF = x2y3
LCM = 200x4y4z
Chapter 4 Review
9)
Simplify using positive exponents.
a) (x2y5)3
b)
(2x)2y3
x 4y
Chapter 4 Review
9)
Simplify using positive exponents.
a) (x2y5)3 = x6y15
b)
(2x)2y3
4y2
= 2
4
xy
x
Chapter 4 Review
10) Simplify using positive exponents.
a)
3x4y3
2x(x - y2) + 3
xy
a)
(x2)(x4)(-x1)
Chapter 4 Review
10) Simplify using positive exponents.
a)
3x4y3
2x(x - y2) + 3
= 2x2 + xy2
xy
a)
(x2)(x4)(-x1) = -x7
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