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Chapter 1
Real Numbers and
Algebraic Expressions
Active Learning
Questions
© 2008 Pearson Prentice Hall.
All rights reserved
1-1
Section 1.2
Algebraic Expressions and Sets of Numbers
If y = – 3, then – y2 =
a.) – (– 3)2
b.) (– 3)2
c.) 32
© 2008 Pearson Prentice Hall. All rights reserved
1-2
Section 1.2
Algebraic Expressions and Sets of Numbers
If y = – 3, then – y2 =
a.) – (– 3)2
b.) (– 3)2
c.) 32
© 2008 Pearson Prentice Hall. All rights reserved
1-3
Section 1.2
Algebraic Expressions and Sets of Numbers
Use the definitions of positive numbers, negative
numbers, and zero to describe the meaning of
nonnegative numbers.
a.) a number that is 0 or positive
b.) a number that is not 0
c.) a number that is negative
© 2008 Pearson Prentice Hall. All rights reserved
1-4
Section 1.2
Algebraic Expressions and Sets of Numbers
Use the definitions of positive numbers, negative
numbers, and zero to describe the meaning of
nonnegative numbers.
a.) a number that is 0 or positive
b.) a number that is not 0
c.) a number that is negative
© 2008 Pearson Prentice Hall. All rights reserved
1-5
Section 1.3
Operations on Real Numbers
Evaluate – 24 ÷ 4 · 2 + 1
a.) – 2
8
b.)  3
c.) – 11
© 2008 Pearson Prentice Hall. All rights reserved
1-6
Section 1.3
Operations on Real Numbers
Evaluate – 24 ÷ 4 · 2 + 1
a.) – 2
8
b.)  3
c.) – 11
© 2008 Pearson Prentice Hall. All rights reserved
1-7
Section 1.3
Operations on Real Numbers
True or false? If two different people use the order of
operations to simplify a numerical expression and neither
makes a calculation error, it is not possible that they each
obtain a different result.
a.) True
b.) False
c.) It depends on if a calculator was used.
© 2008 Pearson Prentice Hall. All rights reserved
1-8
Section 1.3
Operations on Real Numbers
True or false? If two different people use the order of
operations to simplify a numerical expression and neither
makes a calculation error, it is not possible that they each
obtain a different result.
a.) True
b.) False
c.) It depends on if a calculator was used.
© 2008 Pearson Prentice Hall. All rights reserved
1-9
Section 1.4
Properties of Real Numbers
Simplify: 9 – 5(x + 2) – 2x
a.) 2x + 8
b.) – 1 – 7x
c.) 19 – 7x
© 2008 Pearson Prentice Hall. All rights reserved
1-10
Section 1.4
Properties of Real Numbers
Simplify: 9 – 5(x + 2) – 2x
a.) 2x + 8
b.) – 1 – 7x
c.) 19 – 7x
© 2008 Pearson Prentice Hall. All rights reserved
1-11
Section 1.4
Properties of Real Numbers
Can a number’s additive inverse and multiplicative
inverse ever be the same?
a.) Yes
b.) No
c.) It depends if the number is 0.
© 2008 Pearson Prentice Hall. All rights reserved
1-12
Section 1.4
Properties of Real Numbers
Can a number’s additive inverse and multiplicative
inverse ever be the same?
a.) Yes
b.) No
c.) It depends if the number is 0.
© 2008 Pearson Prentice Hall. All rights reserved
1-13
Section 1.4
Properties of Real Numbers
Is the statement below true?
6(2a) (3a) = 6(2a) · 6(3a)
a.) Yes
b.) No
c.) Sometimes
© 2008 Pearson Prentice Hall. All rights reserved
1-14
Section 1.4
Properties of Real Numbers
Is the statement below true?
6(2a) (3a) = 6(2a) · 6(3a)
a.) Yes
b.) No
c.) Sometimes
© 2008 Pearson Prentice Hall. All rights reserved
1-15
Section 1.4
Properties of Real Numbers
Correct the error in the following:
x – 4(x – 5) = x – 4x – 20
a.) There is no error.
b.) x – 4(x – 5) = x – 4x – 5
c.) x – 4(x – 5) = x – 4x + 20
© 2008 Pearson Prentice Hall. All rights reserved
1-16
Section 1.4
Properties of Real Numbers
Correct the error in the following:
x – 4(x – 5) = x – 4x – 20
a.) There is no error.
b.) x – 4(x – 5) = x – 4x – 5
c.) x – 4(x – 5) = x – 4x + 20
© 2008 Pearson Prentice Hall. All rights reserved
1-17
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