Aim: What are literal equations and how do we solve them?

HW: Textbook Page 143/ # 4 to 20 even numbers

Lesson Review:http://www.regentsprep.org/Regents/math/ALGEBRA/AE4/litless.htm

Practice Exercise:http://www.regentsprep.org/Regents/math/ALGEBRA/AE4/litPrac.htm

Aim: How to solve variables on both sides of the equal sign?

HW: Textbook - Page 132 / # 4, 6, 14, 16, 18, 24, 28, 38

Lesson Reviews: Hint-Use Additive inverse of variable term first

http://www.purplemath.com/modules/solvelin2.htm

Practice Exercises:

http://www.kutasoftware.com/FreeWorksheets/Multi-Step%20Equations.pdf

Aim: How to Solve An Equation by combining like terms or using the distributive property first?

HW: Page 127/ #4 - 24 Even Numbers and Do side 2 of worksheet for extra credit.

Lesson Reviews:

http://www.regentsprep.org/Regents/math/ALGEBRA/AE2/LSolvEq.htm

Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE2/PSolvEq.htm

Aim: How to add and subtract polynomials?

HW: In the textbook, Page 172 / #4 - 22 even numbers only

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV2/slike.htm

http://www.regentsprep.org/Regents/math/ALGEBRA/AV2/sp_add.htm

http://www.regentsprep.org/Regents/math/ALGEBRA/AV2/sp_subt.htm


Practice Exercises:

http://www.regentsprep.org/Regents/math/ALGEBRA/AV2/sprac_a.htm

http://www.regentsprep.org/Regents/math/ALGEBRA/AV2/sprac_s.htm

http://www.regentsprep.org/Regents/math/ALGEBRA/AV2/sprac_m.htm

Test Today

No H.W. - Have a good weekend.

If you are absent today, you can take the test on Monday provided that you bring in a note from your parent explaining your absence.

See the list of topics below.

Aim: Study Topics for Test #1

Test on Friday, Sept. 19, 2008

HW: Study all classnotes and homeworks. You can go to each Lesson on this website and do the practice exercises.

• Aim: How to use the distributive property to simplify the expression?
  
• Aim: How to solve equations by two or more steps?...
• Aim: How to solve equations by one step?
• Aim: What are the Properties of Real Numbers?
• Aim: What is an open sentence?
• Aim: How do we translate algebraic expressions?
• Aim: How do we evaluate algebraic expressions?
• Aim: How do we multiple & divide signed numbers?
• Aim: How Do We Add & Subtract Signed Numbers?

Good Luck tomorrow.

Aim: How to use the distributive property to simplify expressions?

HW: Do even numbers from both sides of today's worksheet.

Lesson Review: Use the Distributive Property 5(x + 3 ) + 2
Then combine like terms 5x + 15 + 2 = 5x + 17
http://www.regentsprep.org/Regents/math/polyadd/slike.htm

Practice exercises:
http://www.regentsprep.org/Regents/math/polyadd/sprac_m.htm

Test 1 is on Friday, September 19.

The test is the whole period and will include the following topics:

1. Evaluating algebraic expressions
2. Translation of english statements to algebraic expressions
3. Finding solutions sets for opens sentences for a given domain
4) Defining and recognizing the properties of real numbers.
5) Solve one and two step equations
6) Distribute terms in an expression
7) Combining terms of an an expression

Aim: How to solve equations by two or more steps?

HW: Do all questions on side 2 of worksheet.

Lesson Review: Again, decide on which inverse to use for the first step: additive or multiplicative.
Example 1: 3x + 4 = 10 -----use the additive inverse of +4
- 4 = - 4
then continue 3x = 6----------use the multiplicative inverse by dividing by 3
Solution x = 2

Practive Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE2/PTransSolvEq.htm

Answers to Homeowrk:
side one w/ work
2) 4(1) + 4(9x) = 4 + 36x 4) 2(9m)+ 2(10) = 18m + 20 6)
8(-b) - 4(8) = -8b - 32 8) -6(x) + -6(4) = -6x - 24 10) (-4)(-6p) + (-4)(7) = 24p -28 12) 5(x) + 5(9) = 5x + 45 14) -6(7) + -6(x) = -42 -6x 16) -5(10x) + -5(1) = -50x - 5 18) -8(1) + -8(-5x) = -8 + 40x 20) -5(7a) + -5(-6)= -35a + 30 22) 4(3r) - 4(8) = 12r - 32 24) -10(1) + -10(9x) = -10 -90x\

side two w/o work2) 12r - 20 4) -14x6) 4x + 11 8) 11v 10) 6p 12) -6n - 5 14) 1 + 9n 16) 3n 18) -k 20) -4n22) 2n + 18 24) 19 - 45n 26) -21 + 4m 28) -8n + 23 30) -71n - 29

Aim: How to solve equations by one step?

HW: Do all questions form side 2 -worksheet.

Lesson Review:
Use Additive Inverse or Multiplicative Inverse Rule for first step.

http://www.regentsprep.org/Regents/math/ALGEBRA/AE2/LSolvEq.htm

Practice exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE2/PSolvEq.htm

Aim: What are the Properties of Real Numbers?

HW: Do even numbers

Lesson Review:
http://www.regentsprep.org/Regents/math/realnum/propT2.htm


Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AN1/propPrac.htm

Aim: What is an open sentence?

HW: Worksheet - Do all the questions on side 2.

Lesson Review: An open sentence is a mathematical statement that contains two algebraic expressions and a symbol that compares them.

An equation is an open sentence that contains the symbol =. An inequality is an open sentence that contains one of the symbols <, >, less than or equal to, greater than or equal to.

Solutions:When you substitute a number for the variable in an open sentence like x + 2 = 5 or 2y>6, the resulting statement is either true or false. If the statement is True, the number is a solution of the equation or a solution of the inequality.

http://www.regentsprep.org/Regents/math/opensent/Lopensen.htm


Practice Exercises:
http://www.regentsprep.org/Regents/math/opensent/PracOpen.htm

Aim: How do we translate algebraic expressions?

HW: Worksheet - Do Even Numbers on side 9/10/08 and Do #9 - 12 on side 2 of new sheet

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV1/LAlgRep.htm

Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV1/PAlgRep.htm

Aim: How do we evaluate algebraic expressions?

HW: Worksheet even numbers only

Lesson Review:
A variable is a letter used to represent one or more numbers. The numbers are the values of the variable.
An algebraic expression or variable expression,consists of numbers,variables and operations.
To evaluate an algebraic expression, substitute a number for the variable, perform the operation(s),and simplify the result, if necessary. The resulting number is the value of the expression.

http://www.regentsprep.org/Regents/math/ALGEBRA/AO7/Labsolute.htm


Practice Exercises:
http://www.regentsprep.org/Regents/math/orderop/evalPrac.htm

http://www.regentsprep.org/Regents/mhath/ALGEBRA/AO7/pracAbs.htm

Aim: How do we multiple & divide signed numbers?

HW: Handout Multiply & divide : do even numbers only

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AOP3/Smult.htm
Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AOP3/Smixed.htm

Aim: How Do We Add & Subtract Signed Numbers?

HW : Worksheet Side 2 -Even Numbers

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AOP3/Sadd.htm
Practice exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AOP3/Smixed.htm