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WORD PROBLEMS TIU College Entrance Test Review Math Session 5
PRB / Fractions Example  (Not in the book) ,[object Object],[object Object],[object Object],[object Object]
Method 2: PRB triangle
Method 3: By Algebra
Fractions Example 2 (Not in the book) ,[object Object]
Defined Operations (Example not in the book) ,[object Object],What to do: Use the given formula in the problem to solve.
Rational Exponents / Radicals  (This example not in the book) ,[object Object],YES!
Just getting the cube root.
 
p.76 Ex. 3 NUMBER PROBLEM ,[object Object],The largest is 24.
Ex. 21 p. 83 Motion Problem ,[object Object],1.) Make a diagram/illustration of the scene. 2.) Make a table of the given.
Let t = number of hours until they meet = time Ross traveled  = time Rachel Diagram Ross, 40kph Rachel, 35 kph 150 km We use the formula,  distance = rate x time
p. 87 Ex. 29 MIXTURE How much water must be added to 100 L of denatured alcohol 90% pure to dilute into 75% alcohol content? 100 L 90 % X 0% 100  + X 75%
p. 88 Ex. 32  MONEY ,[object Object],[object Object],[object Object],[object Object]
Money P65,000 6% Interest at 4.5% = 4.5%x Interest at 6% = 6% (65,000 – x) Let x = money invested at 4.5% Equation?
p. 88 Ex. 32  MONEY ,[object Object],[object Object],[object Object],[object Object]
“… income from the amount invested at    exceeds  the investment at 6%  by P300  after one year.” ,[object Object],Interest at 4.5% : 4.5%x Interest at 6% : 6% (65,000 – x) Note: If time is more than one year or investment period:
Geometry Example 1 (Not in the book) ,[object Object],Volume increases  8 times  bigger.
GEOMETRY Example (Not in the book) An architect is to design a swimming pool in a hotel, to be fenced off on 3 sides with 60 meters of material.  The pool is to have an area of 352 sq.m. What should the dimensions of the pool be? L W
System of Equations:    Perimeter    Area ,[object Object],[object Object],[object Object]
Can we isolate the variable W above? The equation above is NOT linear.  It is  A QUADRATIC equation. (Degree of x is 2) How can we solve for W?
Page 60 3 Methods to solve Quadratic Equations: ,[object Object],[object Object],[object Object]
Factoring

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TIU CET Review Math Session 5

  • 1. WORD PROBLEMS TIU College Entrance Test Review Math Session 5
  • 2.
  • 3. Method 2: PRB triangle
  • 4. Method 3: By Algebra
  • 5.
  • 6.
  • 7.
  • 8. Just getting the cube root.
  • 9.  
  • 10.
  • 11.
  • 12. Let t = number of hours until they meet = time Ross traveled = time Rachel Diagram Ross, 40kph Rachel, 35 kph 150 km We use the formula, distance = rate x time
  • 13. p. 87 Ex. 29 MIXTURE How much water must be added to 100 L of denatured alcohol 90% pure to dilute into 75% alcohol content? 100 L 90 % X 0% 100 + X 75%
  • 14.
  • 15. Money P65,000 6% Interest at 4.5% = 4.5%x Interest at 6% = 6% (65,000 – x) Let x = money invested at 4.5% Equation?
  • 16.
  • 17.
  • 18.
  • 19. GEOMETRY Example (Not in the book) An architect is to design a swimming pool in a hotel, to be fenced off on 3 sides with 60 meters of material. The pool is to have an area of 352 sq.m. What should the dimensions of the pool be? L W
  • 20.
  • 21. Can we isolate the variable W above? The equation above is NOT linear. It is A QUADRATIC equation. (Degree of x is 2) How can we solve for W?
  • 22.