What I Have Learned Activity 11: Fill me in! A. Direction: Fill in the blank. Provide the correct information on each blank.
1. ___________ is a mathematical sentence stating that the values of two mathematical expressions are equal.
2. A first-degree equation in one variable is a/an ___________ equation, that is the highest value of exponent of the variable is 1.
3. A ___________ equation in one variable is a 2nd-degree equation (the highest value of exponent of the variable is 2).
4. Quadratic equation can be written in standard form ____________, where a, b and c are real numbers and ≠ 0.
5. In quadratic equation the value of a is the numerical coefficient of the ____________ term.
6. In quadratic equation the value of b is the numerical coefficient of the ____________ term.
7. In quadratic equation the value of c is the ____________ of the equation.
B. Answer the following questions. Write your answer on a separate sheet of paper.
1. Explain how to transform the given equation into its standard form?
2. Explain how to find the values of a, b, and c in a quadratic equation?
3. How can we use quadratic equation in real-life situation?
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Answers & Comments
Answer:
A.
1. An equation
2. Linear
3. Quadratic
4. ax2 + bx + c = 0
5. Quadratic
6. x
7. Constant
B.
1. The standard form of such an equation is Ax + By + C = 0 or Ax + By = C. When you rearrange this equation to get y by itself on the left side, it takes the form y = mx +b.
2. The standard form of a quadratic equation is y = ax^2 + bx + c so you will first multiply (2x+1)(x+3) out and get it into standard form. Then you can see what a, b and c are.
3. Quadratic equations are actually used in everyday life, as when calculating areas, determining a product's profit or formulating the speed of an object. Quadratic equations refer to equations with at least one squared variable, with the most standard form being ax² + bx + c = 0.
Step-by-step explanation:
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