Showing posts with label algebra 1. Show all posts
Showing posts with label algebra 1. Show all posts

Chapter 2 Sample Test Questions

Click here for a worksheet containing 20 sample test questions with answers.


Odd Integer Problem: Find three consecutive odd integers whose sum is 51. (Set up an algebraic equation then solve it.)
Perimeter Problem: The perimeter of a rectangle is 110 feet.  Find the dimensions if the length is 5 feet less than twice the width.

Chapter 7 Sample Test Questions

Click here for a worksheet containing 20 sample test questions with answers.

 
Word Problems
Example: The sum of the reciprocals of two consecutive odd integers is 4/3. Set up an algebraic equation and use it to find the two integers.
Example: Norm can paint the office by himself in 5 hours.  Cliff could do the same job in 7 hours. If they work together, how long will it take them to paint the office?
Example: An executive went on an 8-hour business trip that required a 165-mile bus ride to the airport then another 2,750 miles by airplane.  If the airplane speed was 10 times that of the bus, what is was the average speed of the airplane?

Adding and Subtracting Rational Expressions


Rational Expressions and Equations Playlist on YouTube

When adding or subtracting rational expressions we will need a common denominator.
Simplify the resulting rational expression after adding or subtracting them.

Add or subtract.
If the rational expressions that we are adding or subtracting have unlike denominators then we will need to find the equivalent fractions with the same denominator. To do this multiply both the numerator and denominator of each expression by the factors needed to obtain a common denominator. To help determine the LCD, first factor the denominators.
Perform the operations and state the restrictions to the domain.
For the given functions find f(x) - g(x) and state the restrictions to the domain.
Video Examples on YouTube: