Bell Ringer Equations with Variables on Both Sides

Bell Ringer

Equations with Variables on Both Sides Mr. Haupt CC. 2. 1. 8. A. 2; CC. 2. 1. 8. A. 3

Combine Like Terms ONLY • There is no real difference in how we solve equations with variables on both sides. • You just have to make sure when you move the variable and its coefficient you only add or subtract it from another variable. For example, you cannot add 5 x to 7. you can only add 5 x to 7 x. • Two special cases when we solve equations with variables on both sides. • Identity • No Solution

Identity • An Identity solution is when the equation will work for any possible number. • You will know these when you see them because when you solve them you will end up with the same thing on both sides of the equal sign. • For example: 2 x = 2 x • Any number you plug into x will work.

No Solution • No Solution is the opposite of Identity. • When there is no solution, it means that no matter what value you plug in for the variable, you cannot solve the equation. • For example: 6 x +1 = 6 x – 8

Example 1

Example 2

Example 3

Proportions

Proportions • Proportions are simply comparing fractions. • We use these a lot in life and when we do unit rates. • For example, if you want to buy sliced cheese at the deli, and it is 8 dollars a pound and you want 3 pounds, how would you figure that out?

Solving Proportions • Solving them is easy. • Cross multiply and then divide.