Translating
Simplifying
Factoring
Simplifying and Factoring (Double Points)
100

Translate into an algebraic expression:

"The product of 2 and a number."

`2n`

100

Simplify: 

`3x+9-x+1`

`2x+10`

100

Factor: 

`2x-8`

`2(x-4)`

100

Simplify and then factor: 

`16x-4x+5-2`

`3(4x+1)`

200

Translate into a verbal expression:

`m-4`

Answers may vary.

4 less than a number.

200

Simplify: 

`3(2x-5)`

`6x-15`

200

Factor: 

`4x-7`

Prime

200

Simplify and then factor: 

`7x+2y+3x-8y`

`2(5x-3y)`

300

Translate into an algebraic expression:

"The sum of twice a number and eleven."

`2n+11`

300

Simplify:

`3+5x+2y-3x+2-y`

`2x+y+5`

300

Factor:

`2x+6x^2`

`2x(1+3x)`

300

Simplify and then factor: 

`3(x+6)-x`

`2(x+9)`

400

Translate into a verbal expression:

`3x^2-1`

Answers may vary.

Three of a number squared minus one.

400

Simplify: 

`-2(x+3)+7x-1`

`5x-7`

400

Factor: 

`-6x-15`

`-3(2x+5)`

400

Simplify and then factor: 

`17x-2(x+4)-2`

`5(3x-2)`

500

Translate into an algebraic expression:

"The quotient of three plus a number and five."

`(3+n)/5`


500

Simplify: 

`5(2x-1)-(3x+5)`

`7x-10`

500

Factor: 

`-10x^2-25x`

`-5x(2x+5)`

500

Simplify and then factor: 

`2(4x-1)-3(x+6)`

`5(x-4)`