Mathematical Formulas Worksheet
This worksheet covers various mathematical formulas including quadratic, distance, and midpoint formulas, suitable for Grade 11 students.
Includes
Standards
Mathematical Formulas Practice
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Read each question carefully and use the appropriate mathematical formula to solve. Show all your work.
1. Which of the following is the quadratic formula?
x = (-b ± √(b² - 4ac)) / 2a
x = (b ± √(b² + 4ac)) / 2a
x = (-b ± √(b² - 4ac)) / a
x = (b ± √(b² - 4ac)) / 2a
2. The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂). What is the correct distance formula?
d = √((x₂ - x₁)² + (y₂ - y₁))
d = √((x₂ - x₁)² + (y₂ - y₁)²)
d = (x₂ - x₁)² + (y₂ - y₁)²
d = √((x₂ + x₁)² + (y₂ + y₁)²)
3. The midpoint formula for two points (x₁, y₁) and (x₂, y₂) is M = ( , ).
4. The area of a triangle with base 'b' and height 'h' is given by the formula A = .
5. Solve the quadratic equation x² + 5x + 6 = 0 using the quadratic formula.
6. Find the distance between the points (3, 4) and (6, 8).
7. The formula for the circumference of a circle is C = πr².
True
False
8. The formula for the area of a rectangle is A = length × width.
True
False
Match each formula to its description.
9. A = πr²
a. Pythagorean Theorem
10. a² + b² = c²
b. Area of a Circle
11. I = Prt
c. Simple Interest
12. A rectangular garden has a length of 12 meters and a width of 7 meters. Calculate the perimeter and area of the garden.
Perimeter:
Area: