Math 51 2.4 An Introduction to Applications of Linear Equations 1.

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Presentation transcript:

Math An Introduction to Applications of Linear Equations 1

WordsMath Expression 2 Addition

WordsMath Expression 3 Addition

WordsMath Expression the difference of x and 4 x minus y 3 subtracted from n 2 less than a number t decreased by 10 4 Subtraction

WordsMath Expression the difference of x and 4 x minus y 3 subtracted from n 2 less than a number t decreased by 10 5 Subtraction

WordsMath Expression the difference of x and 4 x minus y 3 subtracted from n 2 less than a number t decreased by 10 6 Subtraction

WordsMath Expression 7 Multiplication

WordsMath Expression 8 Multiplication

WordsMath Expression 9 Division

WordsMath Expression 10 Division

WordsExpression 11 Exponents and Roots

Ex 1. If 5 is added to the product of 9 and a number, the result is 19 less than the number. Find the number. 12

To solve problems: 1. Select a variable to represent an unknown. 2. If there are other unknowns, write expressions for them in terms of the variable. 3. Write an equation using the variable and expressions from 1 and Solve the equation. 13

Ex 2. A two-ingredient smoothie recipe calls for 2 cups of strawberries for every 1 cup of bananas. If we want to make 10 cups of smoothie, how many cups of strawberries and bananas should we use? 14

Ex 3. Find two consecutive even integers such that six times the lesser added to the greater gives a sum of

Ex 4. A piece of pipe is 50 in. long. It is cut into 3 pieces. The longest piece is 10 in. more than the middle-sized piece, and the shortest piece measures 5 in. less than the middle-sized piece. Find the lengths of the three pieces. 16