1.8 & 1.9 Words Into Symbols Problem Solving w/equations

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Presentation transcript:

1.8 & 1.9 Words Into Symbols Problem Solving w/equations translate word phrases into algebraic expressions and word sentences into equations solve word problems by using an equation in one variable

Example 1: Represent Each word Phrase as an algebraic expression a number decreased by 2 five more than three times a number twice the sum of a number and six the sum of twice a number and six the difference between a number and its square

Example 2 The base of an isosceles triangle has length b cm and each base angle measures a°. Find the measure of the vertex angle in terms of a. If the perimeter is 120 cm, find the length of one of the legs in terms of b.

Example 3 A helicopter left Midcity airport at noon and flew east at 110 km/h. One hour later a light plane left Midcity flying west at 320 km/h. How far apart were the aircraft x hours after noon? Express your answer in terms of x. Rate (mi/h) Time (h) Distance (mi) helicopter plane

Example 4 What is the sum of five consecutive odd integers if: The middle one is m? The next to largest is x?

1.8/1.9 Concept Check: Example 5 At noon a cargo plane leaves McHare Airport and heads east at 180 mi/h. Its destination is Jamesville, 500 mi away. At 1:00 pm a jet takes off from McHare and flies east after the cargo plane at 450 mi/h. At what time will the jet overtake the cargo plane? Rate (mi/h) Time (h) Distance (mi) cargo plane jet