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Material Type: Assignment; Class: Introductory Algebra-2nd Term; Subject: Math; University: Portland Community College; Term: Spring 2008;
Typology: Assignments
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Key Concepts: Quadratic Equations The zero principle Yippe-ay-yay... word problems!! ☺
Martin-Gaye practice problems: Section 6.5: 1 – 69 odd Section 6.6: 1 – 15 odd, 25 – 39 odd, 59
Examples
The zero principle
If a b = 0 , then a = 0 and/or b = 0.
Find the solutions to the equation x^3^ + 3 x^2 − x = 3
The zero principle
Quadratic Equations
Equations that can be written in the form a x^2 + b x + c = 0, a ≠ 0 are called quadratic equations. The form a x^2^ + b x + c = 0 is called the standard form of a quadratic equation.
A strategy for solving quadratic equations
0 = 36 t^2 − 12 t − 35
A bean bag is thrown into the air from the top of a 168 ft building with an initial velocity of 88 ft/s. It can be shown using calculus that the height of the bag (ft) t seconds after it is shot is given by
the ground.
Swing your partner, ‘cuz it’s hoe-down time at the Shady Proprietors Retirement Home – the monthly Ronald Reagan memorial square dance, to be precise. There’s some serious dosadoing going on, and at the end of the spins each side of the square is 2 ft wider than it was before the call to dosado. The area of the new square is 484 ft 2. What was the area of the square before the dosadoing began?
Dr. Dieter has a pool in her backyard that is in the shape of an isosceles right triangle! The pool sits in a square tiled walkway as illustrated below. The total area of the pool area (including the walkway) is 2025 ft^2. How long is each side of Dr. Dieter’s triangular pool?
5 ft
5 ft
5 ft 5 ft
Velma Smeltz invested all of her bingo winnings in a government bond. The bond earns an annual interest rate, r , that is applied at the end of each year. The amount of money, A , in Velma’s
t A = + r. At the end of the
second year there was $196.63 in the account. What is the annual interest rate on the account?
