10.3 Solving Equations in Two Steps

Last class you solved equations where you had to deal with a coefficient on the x. Today, you will be solving similar problems, except that the variable has been divided by something, so we are getting rid of a denominator.  Note that dividing by a number is the same as multiplying by a reciprocal, so dividing by a number is the same as having a coefficient that is a fraction.

For example, consider the equation:

• Resources:

Notes

Assignment

• p392

Things you should be able to do after today:

• Solve equations of the type
  \[\frac{x}{a} + b = c\]
  by reverse order of operations
• Communicate your work effectively

Attachments:

File	Description	File size
8.10.3.notes.two.step.PDF		9131 kB

10.2 Solving Equations in Two Steps

Things you should be able to do after today

• Solve an equation of the type:
  \[ 2x + 1 = 7 \]
• Show your work following the exemplars provided in class

Resources:

• Notes

Assignment

• p385 #3, 5, 6, 7, 9-18

Attachments:

File	Description	File size
8.10.2.notes.two.step.pdf		7850 kB

10.1 Solving One Step Equations

Things you should be able to do after today:

• check your work once you have solved an equation
• Solve a one step equation 
• Show your work following the exemplars provided in class

Resources

• Notes

Assignment

• p376 #5-7, 11-24

Attachments:

File	Description	File size
8.10.1.notes.one.step.pdf		4397 kB

10.0 Translating Math

Algebra is a branch of mathematics that works with variables and expressions.  We started looking at expressions and equations when we were working with linear relationships. Today, we will start looking at math as a language, and trying to intepret how english phrases can be converted to mathematical expressions.

Things you should be able to do after today:

• evaluate expressions by using a substitution step
• translate simple phrases to expressions using variables

Vocabulary:

• coefficent
• variable
• constant
• expression
• equatoin

Resources:

• Notes

Assignment:

• Worksheet: Evaluating Expressions
• Worksheet: Translating Engish to Expressions

Attachments:

File	Description	File size
8.10.0.algebra.tiles.evaluating.pdf	Worksheet: Evaluating Expressions	185 kB
8.10.0.notes.translations.pdf		6105 kB
8.10.0.worksheet.translations.pdf		105 kB