SYSTEMS OF EQUATIONS AND STATISTICS. .

Slide 1

SYSTEMS OF EQUATIONS AND STATISTICS

https://www.youtube.com/watch?v=AjuU66OaEyk

A system of equations is two or more equations with the same set of variables. An example is:

y = 4x + 4y = 4x 1

You solve a system by:1. graphing2. substitution3. elimination

Systems could have:1. one solution lines intersect at one place2. infinitely many solutions the lines are the same3. no solutions the lines are parallel

We sometimes solve word problems using systems of equation.

Kim made soup which contains 75 total ounces of beans.The soup has 2 kinds of beans: black beans and red beans.There are 4 times as many ounces of black beans as red beans.How many ounces of red beans are in the soup?

A language arts test is worth 100 points. There are a total of 26 questions. There are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question is there?

A bakery charges $1.50 for a brownie and $1.00 for a cookie. On Saturday, the baker sells 35 brownies and cookies combined, and, the bakery earns $45.00. How many brownies and how many cookies did the bakery sell?

The Math Club sells candy bars and drinks during football games. 60 candy bars and 110 drinks will sell for $265. 120 candy bars and 90 drinks will sell for $270. How much does each candy bar sell for?