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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