9 th grade algebra i semester i study guide: part ii name: ________________________________ parent...

9TH GRADE ALGEBRA I

Semester I Study Guide: Part II

Name: ________________________________Parent Signature: ___________________________________________

1. Did you read the problem?2. Did you underline the question

to identify the variable?3. Did you go sentence by

sentence to pull out the “math”?

4. Did you scratch out what is not circled?

5. Did you “T.P.P” (translate, put it on top, put it together)?

6. Does your answer make sense? Did you check it?

PROBLEM-SOLVING 101

ORDER OF OPERATION

Remember: Evaluate the

expressionfrom

LEFT to Right

EVALUATING EXPRESSIONS•Did you take a “picture of each variable”?•Did you substitute the value for each variable?•Did you PEMDAS correctly?

SOLVING EQUATIONSEQUATION CHECKLIST!

Left Column Right Column1. Do you need to apply the rules

for integers?2. Do you need to do the

distributive property?3. Do you need to combine like

terms?4. Is the variable & coefficient

next to the equal sign?5. Did you isolate the variable?6. Did you inverse the operation?

1. Is the number by itself?

2. Do you need to inverse the variable?

Did you draw a line down the equal sign?

Solve it!!

SOLVING INEQUALITIES

SOLVING INEQUALITIES

•Did you solve inequalities LIKE you solve equations? (Did you use your equation checklist?)

ABSOLUTE VALUE: EQUATIONS

•Did you write the equation TWICE?• In those two equations, did you make one answer POSITIVE and the other NEGATIVE?

ABSOLUTE VALUE: INEQUALITIES

• Did you write the equation TWICE?• In those two equations, did

you make one answer POSITIVE and the other NEGATIVE?• Did you FLIP the symbol

when you multiplied or divided by a negative number?

IDENTIFYING THE SLOPE

M =

• Did you INVERSE X behind the = sign?

• Did you divide all 3 numbers by the coefficient of Y?

• Did you place the “b” on the graph for the first point?

• From the point, did you rise/run to find the second point?

• Did you draw a line through the two points?

POINT-SLOPE FORMULA• Did you write

m = x = y = • Did you write the

formula?• Did you substitute the

value?• Did you inverse the

“twins?” (inverse y to x )

11

1

1

OPERATIONS WITH POLYNOMIALS

• Did you do the distributive property?• Did you draw your symbols to help with combining like terms?

• Did you write F= O= I= L=

• Did you multiply?• Did you box in the “O

& I” to combine like terms?

• Did you rewrite the expression from top to bottom?

MULTIPLYING BINOMIAL BY A BINOMIAL

MULTIPLYING A TRINOMIAL BY A BINOMIAL

• Did you draw a 2 x 3 rectangular box?

• Did you multiply each row & column together?

• Did you combine like terms?

• Did you rewrite the polynomials?

FACTORING USING THE DIAMOND METHOD

When you see the word “factor”• Did you draw your diamond?• Did you create your T-chart?• Did you find your factors?

remember the rules for integers: if the sum is negative, both factors are negative

if the product and sum are both negative, one factor is positive and the other one if negative

• Did you write your two binomials?

FACTORING WITH THE LEADING COEFFICIENT IS >

ONE• Did circle the leading coefficient and

multiply it to the constant?• Did you rewrite the trinomial?• Did you create your diamond?• Did you create the T-chart?• Did you find your factors?• Did you write your two binomials?• Did you divide by the leading

coefficient and simplify?• Do you still have a fraction?• Did you move the denominator in front

of the variable?• Did you rewrite your new binomials?

ZERO PRODUCT PROPERTY

ZERO PRODUCT PROPERTY

• Does the equation have two binomials that = 0?

• Did you separate the equation to make both = 0?

• Did you solve both equations?

QUADRATIC EQUATIONS & THE QUADRATIC FORMULA

• Does the trinomial = 0?• Did you write

a= b= c=

• Did you write the formula?• Did you put ( ) around

each variable?• Did you evaluate inside the

square root?• Did you write the equation

twice: one positive and one negative

• Did you solve BOTH equations?