Identifying Quadratic Equations and Function

Identifying Quadratic Equations and Function

Activity 4: Quadratic or Not Quadratic?

Activity 5: Does Illustrate Me?

ACTIVITY 4: Quadratic or Not Quadratic?

Instruction: Identify which of the following equations are quadratic and which are not. If the equation is not quadratic, explain.

Identify which of the following equations are quadratic and which are not. If the equation is not quadratic, explain.

• 1. 3m + 8 = 15                                               6. 25 – r² = 4r

• 2. x² – 5x + 10 = 0                                        7. 3x (x-2) = -7

• 3. 12 – 4x = 0                                                8. ½ (h-6) = 0

• 4. 2t² – 7t = 12                                              9. (x + 2)² = 0

• 5. 6 – 2x + 3x² = 0                                        10. ( w - 8) ( w + 5) = 14

Activity 5: Does it Illustrate Me!

Tell whether or not each of the following situations illustrates quadratic equations. Justify your answer by representing each situation by a mathematical sentence.

• 1.The length of a swimming pool is 8 m longer than its width and the area is 105 m².

• 2. Edna paid at least Php1,200 for a pair of pants and a blouse. The cost of the pair of pants is Php600 more than the cost of the blouse.

• 2. A motorcycle driver travels 15 kph faster than a bicycle rider. The motorcycle driver covers 60 km in two hours less than the time it takes the bicycle rider to travel the same distance.

• 3.A realty developer sells residential lots for Php4,000 per square meter plus a processing fee of Php25,000. One of the lots the realty developer is selling costs Php625,000.

• Did you find the activity challenging? Were you able to represent each situation by a mathematical statement? For sure you were able to identify the situations that can be represented by quadratic equations. In the next activity, you will write quadratic equations in standard form.