1-1 © 2008 Pearson Prentice Hall. All rights reserved Chapter 1 Real Numbers and Algebraic Expressions Active Learning Questions

1-2 © 2008 Pearson Prentice Hall. All rights reserved Section 1.2 Algebraic Expressions and Sets of Numbers If y = – 3, then – y 2 = a.) – (– 3) 2 b.) (– 3) 2 c.) 3 2

1-3 © 2008 Pearson Prentice Hall. All rights reserved Section 1.2 Algebraic Expressions and Sets of Numbers If y = – 3, then – y 2 = a.) – (– 3) 2 b.) (– 3) 2 c.) 3 2

1-4 © 2008 Pearson Prentice Hall. All rights reserved 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

1-5 © 2008 Pearson Prentice Hall. All rights reserved 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

1-6 © 2008 Pearson Prentice Hall. All rights reserved Section 1.3 Operations on Real Numbers Evaluate – 24 ÷ 4 · a.) – 2 b.) c.) – 11

1-7 © 2008 Pearson Prentice Hall. All rights reserved Section 1.3 Operations on Real Numbers Evaluate – 24 ÷ 4 · a.) – 2 b.) c.) – 11

1-8 © 2008 Pearson Prentice Hall. All rights reserved 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.

1-9 © 2008 Pearson Prentice Hall. All rights reserved 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.

1-10 © 2008 Pearson Prentice Hall. All rights reserved Section 1.4 Properties of Real Numbers Simplify: 9 – 5(x + 2) – 2x a.) 2x + 8 b.) – 1 – 7x c.) 19 – 7x

1-11 © 2008 Pearson Prentice Hall. All rights reserved Section 1.4 Properties of Real Numbers Simplify: 9 – 5(x + 2) – 2x a.) 2x + 8 b.) – 1 – 7x c.) 19 – 7x

1-12 © 2008 Pearson Prentice Hall. All rights reserved 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.

1-13 © 2008 Pearson Prentice Hall. All rights reserved 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.

1-14 © 2008 Pearson Prentice Hall. All rights reserved 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

1-15 © 2008 Pearson Prentice Hall. All rights reserved 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

1-16 © 2008 Pearson Prentice Hall. All rights reserved 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

1-17 © 2008 Pearson Prentice Hall. All rights reserved 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