Adding and Subtracting Polynomials
Simplifying Expressions
Using Properties to simplify Expressions
Solving Equations with variables on both sides
Expressions and Equations
from problems
100

 (a3 − 2a2 ) − (3a2− 4a3)

What is 5a3-5a2

100

(735 + 688) + 240

What is 1663?
100

Rewrite the following expression using the commutative property: 2b + 4  


What is 4+2b?

100

This is one of three ways to describe equations. Below is an example:

2x+5=6x-3

What is one solution? 



100

Sam bought 9 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 43 cards left. How many cards did Sam start with?

What is x-(x/2)+9=43?



200

 (3a2 + 1) − (4 + 2a2 )

 What is a2 - 3?

200

(915 + 780) + (768 - 501)


What is 1962?
200

Rewrite the following expression using the distributive property:  (9+n) ÷ 3 

 



What is 3+(n ÷ 3)?


200

This is one of three ways to describe equations. Below is an example:

4(2x-4)=½16x-4^2

What is infinitely many solutions?
200

On Monday, 272 students went on a trip to the zoo. All 5 buses were filled and 7 students had to travel in cars. How many students were in each bus?


What is (272-7)/5=x?


300

(5p2 − 3) + (2p2 − 3p3 )


What is −3p3 + 7p2− 3?

300

 16 x 10 +10 ÷ 5

What is 162?
300

Rewrite the following expression using the distributive property: -4(6 + 8m) 

What is -32m -24?

300

This is one of three ways to describe equations. Below is an example: 

4xy(1.5)=6x(0.5y)2

What is infinitely many solutions?
300

 Oceanside Bike Rental Shop charges a 12 dollar fixed fee plus 7 dollars an hour for renting a bike. Tim paid 54 dollars to rent a bike. How many hours did he pay to have the bike checked out ? 

What is (54/7)-12?
400

 (−4k4 + 14 + 3k2 ) + (−3k4 − 14k2 − 8) 

What is −7k4 − 11k2 + 6?

400

 8 ÷ 2 +15 - 5

What is 14?
400

Rewrite the following expression using the distributive property: -3 - 7(4 + 8z) 

What is -56z -31?

400

This is one of three ways to describe equations. Below is an example: 

54x(1/2)=20x


What is no solution?
400

Keith had 162 dollars to spend on 6 books. After buying them he had 18 dollars. If each book cost the same amount of money, how much did each book cost? 

What is 6x+18=162?
500

 (3 − 6n5 − 8n4 ) − (−6n4 − 3n − 8n5 )  

What is 2n5 − 2n4 + 3n + 3?


500

16 ÷ 2 x 6 +16

What is 64?
500

Rewrite the following expression using the distributive property:  -3 - 8(4k - 5) 

What is -32k +37?

500

This is one of three ways to describe equations. Below is an example: 

7x+14=3x+2(7)+4x




What is one solution?
500

Dan spent half of his allowance going to the movies. He washed the family car and earned 7 dollars. What is his weekly allowance if he ended with 18 dollars ?

What is (18/2)-7?