Download presentation

1
Unit 14 SIMPLE EQUATIONS

2
WRITING EQUATIONS The following examples illustrate writing equations from given word statements A number less 15 equals 36: Let n = the number Three times a number plus 11 equals 20: Let x = the number Three times the number would then be 3x The equation would become: n – 15 = 36 Ans The equation is now: 3x + 11 = 20 Ans

3
**SUBTRACTION PRINCIPLE OF EQUALITY**

The subtraction principle of equality states: If the same number is subtracted from both sides of an equation, the sides remain equal The equation remains balanced

4
**SUBTRACTION PRINCIPLE OF EQUALITY**

Procedure for solving an equation in which a number is added to the unknown: Subtract the number that is added to the unknown from both sides of the equation Solve x + 7 = 12 for x: x = 12 – – 7 x = Ans

5
**ADDITION PRINCIPLE OF EQUALITY**

Procedure for solving an equation in which a number is subtracted from the unknown. Add the number, which is subtracted from the unknown, to both sides of an equation The equation maintains its balance

6
**ADDITION PRINCIPLE OF EQUALITY**

Solve for p: p – 19 = 42 Solve for y: y – 43.5 = 6.79 p = 61 Ans y = Ans

7
**DIVISION PRINCIPLE OF EQUALITY**

Procedure for solving an equation in which the unknown is multiplied by a number: Divide both sides of the equation by the number that multiplies the unknown The equations maintains its balance

8
**DIVISION PRINCIPLE OF EQUALITY (Cont)**

Solve for t: 9t = 18.9 Solve for x:-3.5x = 9.625 t = 2.1 Ans x = –2.75 Ans

9
**MULTIPLICATION PRINCIPLE OF EQUALITY**

Procedure for solving an equation in which the unknown is divided by a number: Multiply both sides of the equation by the number that divides the unknown Equation maintains in balance

10
**MULTIPLICATION PRINCIPLE OF EQUALITY (Cont)**

Solve for r: r = 16 Ans

11
**ROOT PRINCIPLE OF EQUALITY**

Procedure for solving an equation in which the unknown is raised to a power: Extract the root of both sides of the equation that leaves the unknown with an exponent of 1 Equation maintains in balance

12
**ROOT PRINCIPLE OF EQUALITY (Cont)**

Solve for R: R3 = 27 R = 3 Ans

13
**POWER PRINCIPLE OF EQUALITY**

Procedure for solving an equation which contains a root of the unknown: Raise both sides of the equation to the power that leaves the unknown with an exponent of 1 Equation maintains in balance

14
**POWER PRINCIPLE OF EQUALITY (Cont)**

Solve for x: x = Ans

15
PRACTICE PROBLEMS Express each of the following word problems as an equation: Four times a number minus 12 equals 36 Six subtracted from two times a number, plus three times the number, equals fourteen Solve each of the following equations: x + 7 = 22 n – 4.76 = 9.3 2/3m = 16 C 2.7 = 19.1 m = 16.3 x – 4/5 = 2/3 5.4y = 18.9

16
PRACTICE PROBLEMS p 4/5 = 7/12 121 = y2

17
**PROBLEM ANSWER KEY 1. 4x – 12 = 36 2. (2x – 6) + 3x = 14 3. 15**

/15 10. 7/15

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google