Solving Written Problems SEI.3.AC.1SLE 1: Solve, with and without appropriate technology, multi-step equations and inequalities with rational coefficients.

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Presentation transcript:

Solving Written Problems SEI.3.AC.1SLE 1: Solve, with and without appropriate technology, multi-step equations and inequalities with rational coefficients numerically, algebraically and graphically Students will be able to write the equations to solve problems.

FHS Equations and Inequalities 2 Simple Problems Multiply a number by 3 and you get 15. Find the number. What will our variable represent? Let’s translate into symbols the sentence “Multiply by 3a numberand you get15.” a number x3· = 15

FHS Equations and Inequalities 3 Equal sign? What words or phrases would mean equal? Here are some examples equals is equal to is or are was or were will be and you get

FHS Equations and Inequalities 4 Example 1 Solve this problem: In 5 years, Linda will be 20 years old. How old is she now? What will our variable represent? Linda’s age now How old will Linda be in 5 years x + 5 So now our equation would be: x + 5 = 20

FHS Equations and Inequalities 5 Diane drove 240 miles in 4 hours. What is her rate of speed? What will our variable represent? Her rate of speed What formula should we use to set up the equation? rate x time = distance What is the equation? 4 · x = 240 Examples 2

FHS Equations and Inequalities 6 Two more than 3 times a number is 4 less than 2 times the number. What would be the variable? Where will the = go? the number Translate “2 more than 3 times a number” 3x + 2 Translate “4 less than 2 times the number” 2x – 4 What is the equation? 3x + 2 = 2x - 4 Examples 3