Ch. 3 Solving Linear Equations Objective 4 Solve problems that can be represented as equations

Introduction… What is a Triangle? (sides, angles, degrees) What are the different types of Triangles? set; finite; infinite

Triangles - sides

Triangles - angles

Vocabulary _Triangle_ = The plane figure formed by connecting three points not in a straight line by straight line segments. - has three sides - has 3 angles (always add up to 1800) set; finite; infinite

 Word Problem  If two angles of a triangle add up to 1300, what is the measure of the third angle? 1300 + x = 180

 Word Problem  A triangle has two angles with the measure of 150 and 900. What is the measure of the third angle? 150 + 900 + x = 180

 Word Problem  An obtuse triangle is also isosceles. If the obtuse angle measure 1200, what is the measure of the two other angles? 1200 + 2x = 1800

Writing and Solving Number Theory Sentences… Set of integers {… -2, -1, 0, 1, 2, 3, …} If n represents one of these integers, how would you express the next sequential integer? n + 1

Writing and Solving Number Theory Sentences… If n represents an integer, what is an expression for any even integer? 2n If n represents an integer, what is an expression for any odd integer? 2n + 1

Writing and Solving Number Theory Sentences… Write the set of four consecutive integers if the first one is n. n, n+1, n+2, n+3

Writing and Solving Number Theory Sentences… How would you write the set of three consecutive even integers if n is even? n, n+2, n+4 How would you write the set of three consecutive odd integers if n is odd? n, n+2, n+4,

 Word Problem  Find three consecutive integers whose sum is 27. n + (n+1) + (n+2) = 27

 Word Problem  Find four consecutive odd integers whose sum is -8. n + (n+2) + (n+4) + (n+6) = -8

 Word Problem  The sum of twice a number and 32 is 78. What is that number? 2x + 32 = 78

 Word Problem  Find a number whose product with 9 is the same as its sum with 56. 9n = n + 56

 Word Problem  Two odd integers differ by 4 and their sum is 226. What are the integers? n + (n + 4) = 226

Homework Pages 96-99 (odds)