Alg+Unit+5

=Solving Equations= This unit is all about solving for a specific variable in a equation.

What are the Order of Operations? The link below is a graph organizer to help better understand the topic of Order of Operations.
 * //Review Topic #1: Order of Operations//**

// Extra Practice: // Use the worksheet below to practice order of operations.

//**Review Topic #2: Combine Like Terms**// A term is alike when both the variable(s) and exponent(s) are the same. The link below gives you examples of both like terms and unlike terms. Combining Like Terms

//Extra Practice:// Use the worksheet below to practice simplifying like terms/expressions.

//**Review Topic #3: Distributive Property**//



//Extra Practice:// Use the worksheet below to practice the distributive property.

= Solving Literal Equations =

The link below shows how to solve literal equations for an assigned variable. How to solve a literal equation

= System of Equations = Description of a System of Equations: Systems of Equations

Videos to help with Systems: Solving Systems of Equations

//** This chapter is focusing on interpreting systems of linear equations. Listed below are notes for the unit. **// A system of equations is a set of equations with the same variables. The solution of a system of equations is when the relationship between the "x" and the "y" of the two equations are equal. For linear systems, you may have three types of solutions. These types are listed below:

1. One solution: When a system has only one equal relationship. Graphically, the two lines intersect at a single point. Hint: A Linear System has one solution if the slope of each equation is different.

2. Many solutions: When a system has multiple relationships that are equal. Graphically, the two lines are the same. Hint: A Linear System has many solutions if each line has the same slope and y-intercept

3. No Solutions: When a system has no relationships that are equal. Graphically, the two lines are parallel. Hint: A Linear System has no solution each line has the same slope.

Graphing:
To find the solution by graphing, graph each equation and find the intersection point. Make sure when you graph, the following has been established:

1. Each equation is solved for "y" 2. Both the y-intercept and slope are labeled 3. The slope is written as a fraction 4. The intersection point is written at coordinate (x,y)

Substitution:
When solving for a solution, you can use the substitution method. Below are examples of the method.

Steps to solving with substitution: 1. Solve one equation for a variable 2. Substitute the expression into the other equation for the solved variable 3. Simplify and solve for the variable left 4. Use the solution in part for to solve for the other variable

When using substitution, a solution has one solution if you can solve for a specific "x" and "y" When using substitution, a solution has no solutions if when solving for a variable, the variable is eliminated and you are left with two values that can never be equal When using substitution, a solution has many solutions if when solving for a variable, the variable is eliminated and you are left with two values that are equal.

Elimination:
Video to Understand Elimination When solving for a solution, you can use the substitution method. Below are examples of the method.

Steps to solving with elimination: 1. Write each equation in the form Ax + By = C 2. Eliminate one variable by adding each equation. (You may have to multiple by a factor) 3. Simplify and solve for the variable left 4. Use the solution in part for to solve for the other variable