Download Module 6 Study Guide

Module 6 Study Guide
By: Ali Williams and Marietoni Manaloto
1. How to Translate a Verbal Expression into an Algebraic
Expression
Example:
How To:
Add
Subtract
Multiply
Divide
1. First, you make a list of synonyms for each
operation.
Sum
Difference
Product
Quotient
Plus
Minus
Times
Divided By
More Than
Less Than
Of
Groups
Total
Left
In All
2. Then, you find the numerals and put them into the
expression.
3. Be careful when translating Special Cases.
The product of three and x, decreased by four.
3x-4
2. How to Use Distributive Property and Combining Like Terms to
Simplify an Algebraic Expression
How To:
Example:
1. First, you make a table showing the terms that are
alike.
2
2
7xy-4x y2 +2xy
+6xy+3x
y -7x2 y2
2. Then, you add or subtract to get the total,
depending on the signs in front of the numbers.
3. Lastly, you create an expression. Starting with the
largest exponent and going down to the plain number
or lowest exponent.
2 2
7xy
-4x y
6xy
3x 2y
2xy
2
-7x 2 y2
13xy
-8x y
2
-8x2 y 2+2xy +13xy
2xy
2 2
2
3. How to Factor an Expression
How To:
Example:
1.First, you find the GCF (greatest common factor).
12x+21xy-18
2. Then, you use reverse distributive property to find the
new, usable numbers.
GCF= 3
3. Lastly, you multiply the GCF by the new numbers. This is
your factored expression.
3(4x+7xy-6)
4. How to Write and Solve One-Step Addition and Subtraction
Equations
How To:
Example:
1. First, to write an equation, you begin with the
variable.
X+3=2
2. Then, look at what numbers are negative vs.
positive, and add or subtract them from x or
add/subtract x from them.
3. To solve, you have to isolate the variable. To do this,
you have to use inverse operations on both sides of
the equation.
3-3=0 2-3=-1
X=-1
5. How to Write and Solve One-Step multiplication and Division
Equations
How To:
Example:
1. First, to write an equation, you begin with the
variable.
1=1
- -•X
4 3
2. Then, look at what numbers are negative vs.
positive, and multiply or divide them by x or
multiply/divide x by them.
1 =1
3 x. 4
3. To solve, you have to isolate the variable. To do this,
you have to use inverse operations on both sides of
the equation.
6. How to Write a Two-Step Equation
How To:
Example:
1. First, you begin with the variable.
A number divided by 5, then added to 3. This equals 8.
2. Then, you add, subtract, multiply or divide numbers
from or by the variable based on the wording.(see chart
in beginning of presentation)
X. + 3 = 8
—
5
3. Lastly, you compile your equation/expression.
5 • x =5 • 5
5
x=25
7. How to Write a Verbal Description of a Two-Step Equation
How To:
Example:
1. First, you write/say a situation in which these
numbers are possible.
(x•5)-4=11
2. Next, you present the variable and the operations
and other numbers used, use key words from the
chart in slide 1.
3. Lastly, present the final amount/answer.
Amy is buying five apples. She has a discount of
four dollars. If Amy's total is $11, then how much
money was each Apple?
X=3
8. How to Solve Two-Step Equations
How To:
Example:
1. First, you write an equation for the situation given.
(x-3)•2=4
2. Then, to solve, you isolate the variable using inverse
operations. With Two-Step equations, use the inverse
of the addition/subtraction numeral first.
3. Make sure you use the inverse on both sides of the
equation.
9. How to Solve Multi-Step Equations
How To:
1. First, you write an equation for the situation given.
2. Then, combine like-terms.
3. Then, to solve, you isolate the variable using inverse
operations. With Multi-Step equations, use the inverse
of the addition/subtraction numerals first.
4. Make sure you use the inverse on both sides of
the equation.
Example:
12c+4c=48