2. 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

3. 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 = y.
Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
Slide 3

4. 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

5. 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

6. 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

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

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

9. 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 = y.
Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
Slide 9

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

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

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

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

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

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