Question

Identify the like terms.

7y + 5x - 9 + 2y - 12x




Combine like terms.

9k - 2 + 3k





Vocabulary:

Expression, equation, like terms, combine, variable, coefficient, constant.


Mini Lesson:
Model Examples:

Simplify the expression.

5xy - 2xy + 5k - 3 + 8k + 9






Simplify the expression.

2 ( x - 5 ) - 3y + 6x






Each person in a group buys a ticket, a medium drink, and a large popcorn. Write an expression in simplest form that represents the amount of money the group spends at the movie.







Independent Practice:

Mild:
Identify the like terms.

6xy + 6y - 5xy + 3




Simplify the expression:

7z - 5 + 6z





Simplify the expression:

6x2 + 3x + 2x2 + 7x + 2







Medium: Simplify the expression.
6 ( 2y - 5 ) + 2y







5x2y + 12x + 6x2y + 15 + 2k









Spicy:
Write an expression in simplest form that represents the earnings for washing and waxing x cars and y trucks.





You apply gold foil to a piece of red poster to make the design shown.

Write an expression in simplest form that represents the area of the gold foil.

Find the area of the gold foil when x = 3.

Answer 1

Step-by-step explanation:

7

+

5

−

9

+

2

−

1

2

7y+5x-9+2y-12x

7y+5x−9+2y−12x

Simplify

1

Combine like terms

7

+

5

−

9

+

2

−

1

2

{\color{#c92786}{7y}}+5x-9+{\color{#c92786}{2y}}-12x

7y+5x−9+2y−12x

9

+

5

−

9

−

1

2

{\color{#c92786}{9y}}+5x-9-12x

9y+5x−9−12x

2

Combine like terms

3

Rearrange terms

Solution

−

7

+

9

−

9