TAILIEUCHUNG - Lecture General mathematics: Lecture 16.1 - Ms. Fehmida Haroon

Lecture provides knowledge of the derivatives of logarithmic and exponential functions. This chapter presents the following content: Exponential and logarithmic functions, derivatives of logarithmic functions, logarithmic differentiation, derivatives of exponential functions,. | General Mathematics ADE 101 Unit 2 LECTURE No. 16 Word Problems Related To Simultaneous Linear Equations Today’s Objectives Knowledge Test STEPS IN SOLVING WORD PROBLEMS WITH LINEAR ALGEBRA Define the variable that you want to find with a let statement. Let x = . Create an equation that expresses the information given in the problem’s scenario. Decide on the y-intercept and the slope (rate of change) Solve your equation using algebraic methods. Consider if your answer is reasonable. Label your solution appropriately. Check your answer with the conditions given in the problem. Setting Up System of Equation Word Problems Today, we are going to practice reading a paragraph word problem and writing a System of Equations (2 or more equations) that we will learn to solve the next class period. The sum of two numbers is 36. Their difference is 6. Find the numbers. Identify your variables. First Number = x Second Number = y The sum of two numbers is 36. x + y = 36 Their difference is 6. x - y = 6 Now your system is set-up! The sum of two numbers is 15. Twice one number equals 3 times the other. Find the numbers. Identify your variables. First Number = x Second Number = y The sum of two numbers is 15. x + y = 15 Twice one number equals 3 times the other. 2x = 3y Now your system is set-up! The volleyball club has 41 members. There are 3 more boys than girls. How many girls are there? Identify your variables. boys = b girls = g The volleyball club has 41 members. b + g = 41 There are 3 more boys than girls. b = g + 3 Now your system is set-up! A rectangle has a perimeter of 18 cm. Its length is 5 cm greater than its width. Find the dimensions. Identify your variables. Length = l Width = w A rectangle has a perimeter of 18 cm. 2l + 2w = 18 Its length is 5 cm greater than its width. l = 5 + w Now your system is set-up! Timmy has 180 marbles, some plain and some colored. If there are 32 more plain marbles than colored marbles, how many colored marbles does he have? Identify .

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