Simplifying and Factoring Algebraic Expressions

Translating

100

“the quotient of a number and 4”

x/4

200

1 more than product of a number and -8

1 + 8x.  OR 8x+1

300

the difference between half a number and 19

x/2 - 19

400

21 less than three-fifths of a number”

3/5x - 21

500

the sum of a number squared and 15

x² + 15

Combine Like Terms

100

−10x − 4 + 3x

 -7x - 4

200

1 − c + 4c − 29

3c - 28

300

−19 + 4k −15k + k − 9

-10k - 28

400

2a −1 + 8b −12b + 7a −12

9a - 4b - 13

500

16m − 2n − n + 9m − 5m

20m - 3n

Distribute

100

2(x +10)

2x + 20

200

−5(m − 3)

-5m + 15

300

3(4y − 9)

12y - 27

400

−4(2r + 5)

-8r - 20

500

3(2x + 3y -5)

6x + 9y - 15

Factor

100

4x −16

4(x-4)

200

18k + 42

6(3k + 14)

300

16r − 25

Not Factorable OR Prime

400

20m− 8n

4(5m - 2n)

500

6n+3n+12

3(2n + n + 4)

Simplify and factor

100

3(8p −1) −17p

7p - 3 

PRIME

200

6(2x − 5y) − 2(x + 9y)

2(5x - 24y)

300

9p − 6 − 8 + 5p

14(p - 1)

400

12 − (3r − 23) + 8r

5 (r + 1)

500

−7x + 2(x − y) − 3(4y − 5x)

2(5x - 7y)

Trivia

100

What is the strongest muscle in the human body?

The Jaw

200

Where were French fries invented?

Belgium

300

Which country drinks the most coffee per capita?

Finland

400

How many stars are there in our solar system?

One

The Sun

500

What’s the only vegetable that is also classified as a flower?

Broccoli