Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Whole Numbers 1 1.1 Standard Notation 1.2 Addition 1.3 Subtraction 1.4 Multiplication 1.5 Division 1.6 Rounding and Estimating; Order 1.7 Solving Equations 1.8 Applications and Problem Solving 1.9 Exponential Notation and Order of Operations Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 2

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 1.7 Solving Equations a Solve simple equations by trial. b Solve equations like t + 28 = 54, 28 x = 168, and 98 2 = y. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 3

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 1.7 Solving Equations a Solve simple equations by trial. A sentence with = is called an equation. A solution of an equation is a number that makes the sentence true. We can use a letter in an equation. We call n a variable because it can represent any number. If a replacement for a variable makes an equation true, it is a solution of the equation. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 4

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 1.7 Solving Equations SOLUTIONS OF AN EQUATION A solution of an equation is a replacement for the variable that makes the equation true. When asked to solve an equation, we find all its solutions. a Solve simple equations by trial. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 5

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 1.7 Solving Equations a Solve simple equations by trial. 1 Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 6

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 1.7 Solving Equations b Solve equations like t + 28 = 54, 28 x = 168, and 98 2 = y. We now begin to develop more efficient ways to solve certain equations. When an equation has a variable alone on one side and a calculation on the other side, we can find the solution by carrying out the calculation. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 7

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 1.7 Solving Equations b Solve equations like t + 28 = 54, 28 x = 168, and 98 2 = y. 4 Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 8

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 1.7 Solving Equations SOLVING x + a = b b Solve equations like t + 28 = 54, 28 x = 168, and 98 2 = y. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 9

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 1.7 Solving Equations b Solve equations like t + 28 = 54, 28 x = 168, and 98 2 = y. 5 Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 10

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 1.7 Solving Equations b Solve equations like t + 28 = 54, 28 x = 168, and 98 2 = y. 5 Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 11

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 1.7 Solving Equations b Solve equations like t + 28 = 54, 28 x = 168, and 98 2 = y. 7 Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 12

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 1.7 Solving Equations SOLVING b Solve equations like t + 28 = 54, 28 x = 168, and 98 2 = y. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 13

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 1.7 Solving Equations b Solve equations like t + 28 = 54, 28 x = 168, and 98 2 = y. 8 Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 14

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 1.7 Solving Equations b Solve equations like t + 28 = 54, 28 x = 168, and 98 2 = y. 9 Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 15