Activity 1: I Can Fill It! Below Is A Problem Where You Can…
Activity 1: I Can Fill It! Below is a problem where you can solve by simply following the steps that can be found at the right side. Fill in the blank spaces with the needed solution In each activity, write your answers on a separate sheet of paper. Problem: The sum of the square of a number and 15 is the same as eight times the mumber. What are the numbers? Solution What To Do Let x be the number Use a variable to represent the unknown + 15 Translate into mathematical expression Place polynomial on one side and set equation to zero by Addition Property of Equality + 15 R? + 15 – 8x Write the resulting equation x? – 8x + Arrange the terms in descending order of its exponents = 0 Factor the polynomial 2 = 0 OT ( = 0 Apply the Zero Product Property X-5 + – = 0 + – or Solve for the unknown by using Addition Property of Equality >__+3= 0 2 Write the resulting equation. or Final StatementThe numbers are
Answer:
1. x^2+15=8x
2. x^2-8x+15=0
3. x^2-3x-5x+25
4. x-3=0 and x-5=0
5. x=3,5