Combining Like Terms and Distributive Property

Variables!

100

Name the Variables in this Expression:

2x + 8 + 3y 

a. 2 , 8 , 3

b. x , y

c. 5y + 8

b.  x and y

200

Name the variables in this expression

11x³ + 22 - 13b⁸

x³ and b⁸  or x an b

300

Find the value of the variable a

3 x a = 15

a = 5,  because 3 x 5 = 15

400

Which of the following terms are numbers Multiplied to a variable?

2x + 9 + 1x  - 4y

a. 2x, 9, 4

b. 9

c. 2, 1, 4

c. 2,1,4

500

Solve for the Variable x:

4x = 16

x = 4

because 4 times 4 = 16

Solve!

100

Simplify the following expression using the Distributive Property.

3(p + 7)

3p + 21                         

200

Simplify the following expression using the Distributive Property.

(2r - 4)6

12r - 24

300

DAILY DOUBLE!! Simplify the following expression using the Distributive Property.

-7(4 - 5b)

-28 + 35b

400

Simplify the following expression using the Distributive Property.

5(1 + 4x) + 11x

5 + 31x

500

Simplify the following expression using the Distributive Property.

-2(4+3p)+15

-6p + 7

Combine Like Terms

100

Simplify the following expression by combining like terms.  

6x + 6x

12x

200

DAILY DOUBLE!!!

Simplify the following expression by combining like terms.

6n - 2n + 5

4n + 5

300

DAILY DOUBLE!!!!

Simplify the following expression by combining like terms.

3r + 1 - r + 2

2r + 3

400

DAILY DOUBLE!! Simplify the following expression by combining like terms.

x + 8 - 4 + 4x

5x+ 4

500

Simplify the following expression by combining like terms.

-7 + 4k - 8k - 22

-4k - 29

Order of Operations

100

Which operation will come first in this expression according to PEMDAS?

4 + 3 - (2 x 4) 

a.  3 - 2

b. 4+3

c. 2x4

c. 2x4

200

Which operation will you do First in this expression?

3x + 2x - 4(3y -12)

a. Multiply - 4 by 3y and -12

b. Add 3x and 2x

a. Multiply - 4 by 3y and -12

300

Solve the following equation by using the Distributive Property.

-5(6 + 10)

-300

400

Daily Double!

What would you do LAST in this expression?

2 + 1 + (3x5) - (20 - 6)

a. (3x5)

b. 2 + 1

c. (20 - 6)

b. 2 + 1  because addition and subtraction are last in the order of operations

500

Solve:

(5 x -1) + (3x + 6x)

a. 5 +3x + 6x

b. -1 + 9X

c. -5 + 9x

c. -5 + 9X

Mixed Madness!

100

Which of the following are NOT a variables?

4, x, 22, y, 19, 3/4, m²

4, 22, 19, 3/4

200

We can combine like terms in this expression. 

True or False?

8x + 16 - 2y + 3b

False, there are NO like terms in this expression

300

How many TERMS are in this expression? 

4y + 90 - 2b x 3 + x - 5y + 33

7 terms!

400

DAILY DOUBLE!! Solve the following equation by combining like terms.

3m - 1m + 5m + 5m - 10m

2m

500

Solve the following equation by combining like terms.

2y + 20y - 2(8x - 4)

22y- 16x + 8