Learning Target I can identify like terms and

Learning Target: I can identify like terms and simplify expressions.

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I can identify like terms and simplify expressions. Terms: A number, a __________ or the product of a number and a variable. Like Terms: Have the same ________ or the same ________ factors Coefficient: the ________ in front of the variable

I can identify like terms and simplify expressions. variable Terms: A number, a __________ or the product of a number and a variable. Like Terms: Have the same ________ or the same ________ factors Coefficient: the ________ in front of the variable

I can identify like terms and simplify expressions. variable Terms: A number, a __________ or the product of a number and a variable Like Terms: Have the same ________ or the same ________ factors Coefficient: the ________ in front of the variable

I can identify like terms and simplify expressions. variable Terms: A number, a __________ or the product of a number and a variable Like Terms: Have the same ________ variable factors or the same ________ Coefficient: the ________ in front of the variable

I can identify like terms and simplify expressions. variable Terms: A number, a __________ or the product of a number and a variable Like Terms: Have the same ________ variable factors or the same ________ Coefficient: the ________ number in front of the variable

I can identify like terms and simplify expressions. Like Terms Not Like Terms

I can identify like terms and simplify expressions. Like Terms 2 x and 3 x Not Like Terms 2 x and 3 y

I can identify like terms and simplify expressions. Like Terms 2 x and 3 x y and -7 y Not Like Terms 2 x and 3 y 2 y and -7 y

I can identify like terms and simplify expressions. Like Terms 2 x and 3 x y and -7 y 8 xy and -3 xy Not Like Terms 2 x and 3 y 2 y and -7 y 8 xz and -3 xy

I can identify like terms and simplify expressions. Like Terms 2 x and 3 x y and -7 y 8 xy and -3 xy 2 2 7 a and -3 a Not Like Terms 2 x and 3 y 2 y and -7 y 8 xz and -3 xy 3 2 7 a and -3 a

I can identify like terms and simplify expressions. *When a variable does not have a number in front of it (like c), there is an understood ______ in front of the variable

I can identify like terms and simplify expressions. *When a variable does not have a number in front of it (like c), there is an understood 1 ______ in front of the variable

I can identify like terms and simplify expressions. (No r u o y n i t … s e t o n a t i Try ). y a w y n

I can identify like terms and simplify expressions.

I can identify like terms and simplify expressions.

I can identify like terms and simplify expressions.

I can identify like terms and simplify expressions.

I can identify like terms and simplify expressions. An expression is in _________ when it has no _________ and no _______. To Simplify Expressions: _____ or _______ the coefficients

I can identify like terms and simplify expressions. An expression is in _________ simplest form when it has no _________ and no _______. To Simplify Expressions: _____ or _______ the coefficients

I can identify like terms and simplify expressions. An expression is in _________ simplest form like terms when it has no _________ and no _______. To Simplify Expressions: _____ or _______ the coefficients

I can identify like terms and simplify expressions. An expression is in _________ simplest form like terms when it has no _________ and parenthesis no _______. To Simplify Expressions: _____ or _______ the coefficients

I can identify like terms and simplify expressions. An expression is in _________ simplest form like terms when it has no _________ and parenthesis no _______. Add To Simplify Expressions: _____ or _______ the coefficients

I can identify like terms and simplify expressions. An expression is in _________ simplest form like terms when it has no _________ and parenthesis no _______. Add To Simplify Expressions: _____ or subtract _______ the coefficients

I can identify like terms and simplify expressions. r T … s e t o n r u o y n i t (No ay. ) w y n a m e y th

I can identify like terms and simplify expressions.

I can identify like terms and simplify expressions. 12 x

I can identify like terms and simplify expressions. 12 x

I can identify like terms and simplify expressions. 12 x 12 y + 10

I can identify like terms and simplify expressions. 12 x 12 y + 10

I can identify like terms and simplify expressions. 12 x 12 y + 10 11 m + 7 p

I can identify like terms and simplify expressions. 12 x 12 y + 10 11 m + 7 p

I can identify like terms and simplify expressions. 12 x 12 y + 10 11 m + 7 p 5 d + 0 so. . . 5 d

I can identify like terms and simplify expressions. 12 x 12 y + 10 11 m + 7 p 5 d + 0 so. . . 5 d Notice how I used shapes to group the like terms. You should do this too when as you show your work. Also notice that I include the + or – sign in front of each term when I group them in the shapes. This helps A LOT when you determine if it is a positive or negative amount. You should be showing your work just like this from now on…

I can identify like terms and simplify expressions. Examples – One Variable 1) -13 c + c Simplify ______ 2) 2 x + 3 x – 2 + 4 x + 5 Simplify ______

I can identify like terms and simplify expressions. Examples – One Variable 1) -13 c + c Simplify ______ 2) 2 x + 3 x – 2 + 4 x + 5 Simplify ______

I can identify like terms and simplify expressions. Examples – One Variable 1) -13 c + c -12 c Simplify ______ 2) 2 x + 3 x – 2 + 4 x + 5 Simplify ______

I can identify like terms and simplify expressions. Examples – One Variable 1) -13 c + c -12 c Simplify ______ 2) 2 x + 3 x – 2 + 4 x + 5 Simplify ______

I can identify like terms and simplify expressions. Examples – One Variable 1) -13 c + c -12 c Simplify ______ 2) 2 x + 3 x – 2 + 4 x + 5 9 x + 3 Simplify ______

I can identify like terms and simplify expressions. Examples – One Variable 1) -13 c + c -12 c Simplify ______ 2) 2 x + 3 x – 2 + 4 x + 5 9 x + 3 Simplify ______ Again, notice the grouping using shapes… This, along with including the + or – will make your life MUCH EASIER.

I can identify like terms and simplify expressions. 3) 0. 3 f – f + 10 + 0. 7 f + 3 f – 4 Simplify ______

I can identify like terms and simplify expressions. 3) 0. 3 f – f + 10 + 0. 7 f + 3 f – 4 Simplify ______

I can identify like terms and simplify expressions. 3) 0. 3 f – f + 10 + 0. 7 f + 3 f – 4 3 f + 6 Simplify ______

I can identify like terms and simplify expressions. 4) m – ⅖ – 5 m + ⅙ Simplify ______

I can identify like terms and simplify expressions. 4) m – ⅖ – 5 m + ⅙ 7 – /30 Simplify -4 m ______

I can identify like terms and simplify expressions. 5) 3 f² – f + 10 + 2 f² + f – 4 Simplify _______

I can identify like terms and simplify expressions. 5) 3 f² – f + 10 + 2 f² + f – 4 Simplify _______

I can identify like terms and simplify expressions. 5) 3 f² – f + 10 + 2 f² + f – 4 2 5 f +6 Simplify _______

I can identify like terms and simplify expressions. 6) -a² – ½ – 5 a² + ⅙ – 2 a Simplify _______

I can identify like terms and simplify expressions. 6) -a² – ½ – 5 a² + ⅙ – 2 a Simplify _______

I can identify like terms and simplify expressions. 6) -a² – ½ – 5 a² + ⅙ – 2 a 2 -6 a 1 – 2 a – /3 Simplify _______

I can identify like terms and simplify expressions. Examples – Two or More Variables or Variable Factors 1) 0. 3 a – b + 0. 9 a + 3 b Simplify _______

I can identify like terms and simplify expressions. Examples – Two or More Variables or Variable Factors 1) 0. 3 a – b + 0. 9 a + 3 b Simplify _______

I can identify like terms and simplify expressions. Examples – Two or More Variables or Variable Factors 1) 0. 3 a – b + 0. 9 a + 3 b 1. 2 a + 2 b Simplify _______

I can identify like terms and simplify expressions. 2) 8 f – 2 t + 3 f + t Simplify _______

I can identify like terms and simplify expressions. 2) 8 f – 2 t + 3 f + t Simplify _______

I can identify like terms and simplify expressions. 2) 8 f – 2 t + 3 f + t 11 f – t Simplify _______

I can identify like terms and simplify expressions. Examples: Products of Two Variables 1) 3 x + 2 xy – 2. 6 x + 7 xy + 7 Simplify ________________

I can identify like terms and simplify expressions. Examples: Products of Two Variables 1) 3 x + 2 xy – 2. 6 x + 7 xy + 7 9 xy + 0. 4 x + 7 Simplify ________________

I can identify like terms and simplify expressions. 2) 3 ab – a – 7 + 5 ab + 5 a + 4 Simplify ___________

I can identify like terms and simplify expressions. 2) 3 ab – a – 7 + 5 ab + 5 a + 4 Simplify ___________

I can identify like terms and simplify expressions. 2) 3 ab – a – 7 + 5 ab + 5 a + 4 8 ab + 4 a – 3 Simplify ___________

I can identify like terms and simplify expressions. 3) 3 ab + 4 b – 3. 5 ab + ab - 5 b + b Simplify ________________

I can identify like terms and simplify expressions. 3) 3 ab + 4 b – 3. 5 ab + ab - 5 b + b Simplify ________________

I can identify like terms and simplify expressions. 3) 3 ab + 4 b – 3. 5 ab + ab - 5 b + b 0. 5 ab Simplify ________________

I can identify like terms and simplify expressions. 4) 3 xy + y - ¼x + xy + 6 x + ½y Simplify ________________

I can identify like terms and simplify expressions. 4) 3 xy + y - ¼x + xy + 6 x + ½y Simplify ________________

I can identify like terms and simplify expressions. 4) 3 xy + y - ¼x + xy + 6 x + ½y 3/ x + 1 1/ y 4 xy + 5 Simplify ________________ 4 2

I can identify like terms and simplify expressions. Test Examples Which of the following are equivalent to the following expression: 2 a – 4 b + (-3 a) + 9 b – (-4 a) + 6 b Select ALL that apply. A. 9 a + 19 b B. 3 a + 11 b C. 19 a + 9 b D. (6 a – 3 a) + (15 b – 4 b) E. 11 b + 3 a F. (2 – 3 + 4 + 6)a + (-4 + 9 + 6)b

I can identify like terms and simplify expressions. Test Examples Which of the following are equivalent to the following expression: 2 a – 4 b + (-3 a) + 9 b – (-4 a) + 6 b Select ALL that apply. A. 9 a + 19 b B. 3 a + 11 b C. 19 a + 9 b D. (6 a – 3 a) + (15 b – 4 b) E. 11 b + 3 a F. (2 – 3 + 4 + 6)a + (-4 + 9 + 6)b

I can identify like terms and simplify expressions. 2) Select all that apply. Which of the following are equivalent to: 2 xy + 3 x – 2 x – 5 + xy A. xy + 5 x + 5 B. xy – x – 5 C. 3 xy + x – 5 D. 3 xy + x + 5 E. 3 xy + 1 x – 5

I can identify like terms and simplify expressions. 2) Select all that apply. Which of the following are equivalent to: 2 xy + 3 x – 2 x – 5 + xy A. xy + 5 x + 5 B. xy – x – 5 C. 3 xy + x – 5 D. 3 xy + x + 5 E. 3 xy + 1 x – 5

I can identify like terms and simplify expressions. OAA Example 3) Adam and Shelby are shopping in a town that has a 5% tax. Adam says the final price of any item can be found by the expression p + 0. 05 p, where p is the original price. Shelby says the price of any item can be found by the expression 1. 05 p. Who is correct? Explain. i y r T … s e t o n r u o y n i (Not ). y a w y n a t

I can identify like terms and simplify expressions. OAA Example 3) Adam and Shelby are shopping in a town that has a 5% tax. Adam says the final price of any item can be found by the expression p + 0. 05 p, where p is the original price. Shelby says the price of any item can be found by the expression 1. 05 p. Who is correct? Explain. They are both correct because the expressions are equivalent. If you combine like terms, they simplify to say the same thing. p + 0. 05 p = 1. 05 p

I can identify like terms and simplify expressions. AIR Example 3) Enter the value of n so the expression (-y + 5. 3) + (7. 2 y – 9) is equivalent to 6. 2 y + n.

I can identify like terms and simplify expressions. AIR Example 3) Enter the value of n so the expression (-y + 5. 3) + (7. 2 y – 9) is equivalent to 6. 2 y + n. When combining like terms… 6. 2 y – 3. 7 So… n = -3. 7

I can identify like terms and simplify expressions. 4) Enter the value of n so the expression (-3 y + 2. 5) + (9. 5 y – 10) is equivalent to 6. 5 y + n.

I can identify like terms and simplify expressions. 4) Enter the value of n so the expression (-3 y + 2. 5) + (9. 5 y – 10) is equivalent to 6. 5 y + n. When combining like terms… 6. 5 y – 7. 5 So… n = -7. 5

I can identify like terms and simplify expressions. If you finish with extra time… Be sure to keep your notes for tomorrow’s class. You will need them for a graded assignment on Edulastic. You may now ask for a Simplifying Expressions Homework (A) worksheet from the teacher. This is homework if you do not finish.