order of operations
One step equations
To solve one-step equations, you must isolate the variable, or unknown value. Always remember to maintain balance in the equation; whatever is done on one side, must be done of the other side.
For example: y + 6 = 2
two step equations
Solving two-step equations is very similar to the one-step ones. The only difference is that when isolating the variable, there might be a coefficient, so you will need to get rid of it. To do this, you will need o divided the whole equation on order to end up with only the variable.
For example: 2x - 5 = 7
simplifying expressions - distributive property
The distributive property is a method for simplifying expressions. This is applicable when there is a coefficient in front of an expression in parenthesis. Then, all numbers inside the parenthesis are multiplied by the coefficient that is outside.
For example:
7 (x + 4)
5 (4a - 6)
For example:
7 (x + 4)
5 (4a - 6)
Solving equations with variables on both sides
When you have with variables on both sides, the first thing that need to be done is get the variables only to one side, and combine these, since they are like-terms. Then solve this as a one or two-step equation, and keep simplifying until you find the value of the variable.
For example: 2x + 6 = 5x
For example: 2x + 6 = 5x
problem solving using equations
In order to solve a word problem using equations, you first need to identify the unknown value (the variable). Then formulate the equation that will help you find the missing integer or integers. Finally, simplify your expression until you find the answer
*Remember to read carefully the problem to know what operations are involved.
*Remember to read carefully the problem to know what operations are involved.
unit reflection
This unit was mostly easy for me. I completely understand how to simplify equations, and how to solve one-step equations and two-step equations. The rule that everything needs to be balanced in an equation is something that stuck no my head. The order of operations was simple and easy, since it was a review from previous years. The only problem I had was at the end of the unit, when we worked on word problems. I easily get confused with them, and I don't know how to formulate the equations to solve specific and more challenging problems. Also, I tend to do these mentally, and that could be a problem in an assessment, since you are asked to show your work. Since this unit contained elements from previous years, not many things were new to me, but i learned more challenging topics.
***REAL LIFE APPLICATION: This unit helped me to simplify equations in everyday problems I might encounter, as simple as they can be: banking calculations, counting days in the calendar for a certain date, or finding an unknown value. Now I can reduce the amount of steps I need to do to find this value.
***REAL LIFE APPLICATION: This unit helped me to simplify equations in everyday problems I might encounter, as simple as they can be: banking calculations, counting days in the calendar for a certain date, or finding an unknown value. Now I can reduce the amount of steps I need to do to find this value.