1. Warm Up Write an algebraic expression for 35 less than product of 4 and x. A35 + 4x B4x - 35 C35 / 4x D35 – 4x

2. The Real Number System & Writing Equations

3. 9/3/2015jwaid3 The Real Number System The Real Number System is divided into two categories: Rational and Irrational. Rational Numbers: Numbers, such as ½ and –3/1 that can be written as a ratio of two integers. Irrational Numbers: Real numbers, such as square root of 2 or , that are not rational.

4. 9/3/2015jwaid4 The Real Number System Rational Numbers: Includes integers, whole numbers, natural numbers, and numbers written as the ratio of two integers. Integers: {... – 3, – 2, – 1, 0, 1, 2, 3,...} Whole Numbers: {0, 1, 2, 3,...} Natural Numbers: {1, 2, 3,...}

5. 9/3/2015jwaid5 The Real Number System Real Numbers Rational NumbersIrrational Numbers 3 1/2 -2 15% 2/3 1.456 -0.7 0 33 22 -  5 2 3434

6. 9/3/2015jwaid6 The Real Number System Real Numbers Rational NumbersIrrational Numbers 3 1/2 -2 15% 2/3 1.456- 0.7 0 33 22 -  5 2 3434 Integers

7. 9/3/2015jwaid7 The Real Number System Real Numbers Rational NumbersIrrational Numbers 31/2 -2 15% 2/3 1.456- 0.7 0 33 22 -  5 2 3434 Integers Whole

8. 9/3/2015jwaid8 The Real Number System Real Numbers Rational NumbersIrrational Numbers 3 1/2 -2 15% 2/3 1.456- 0.7 0 33 22 -  5 2 3434 Integers Whole Natural

9. The statue of liberty sits on a pedestal that is 154 feet high. The height of the pedestal and the statue is 305 feet. If s represents the height of the statue, the following equation represents the situation. 154 + s=305

10. Key Words Words that mean equals “=“ –Is –Equals –Is equal to –Is the same as –In as much as –Is identical to

11. Translate into equations 1.Five times the number a is equal to three times the sum of b and c 5a=3(b+c) 2.Nine times y subtracted from 95 equals 37. 95-9y=37

12. Four step problem solving plan 1.Explore the problem 1.Read carefully 2.Identify information given 3.What are you asked to find 2.Plan the solution 1.Define your variables 3.Solve the problem 4.Examine the solution 1.Make sure your answer makes sense

13. Example You know that 2,000,000 gallons of ice cream are produced in the US each day. You want to know how many days it will take to produce 40,000,000 gallons of ice cream.

14. Plan 1.Explore 2.Plan 1.Write an equation to represent the situation. 1.Let d represent the number of days needed to produce the ice cream. 2,000,000(d)=40,000,000 2.Solve 2,000,000(d)=40,000,000 d=20 3. Examine If 2,000,000 gallons of ice cream are produced in one day 2,000,000 x 20 or 40,000,000 gallons are produced in 20 days.

15. You Try It The perimeter of a rectangle equals two times the length plus two times the width 1.Variables 1.P=perimeter, l=length, w=width 2.Formula 1.P=2l+2w

16. Translate into a verbal sentence 1.3m+5=14 Three time m plus five equals fourteen 2. w+v=y 2 The sum of w and v equals the square of y.