Fundamental Skills Review

Factoring

100

Factor

(x²-1)

(x+1)(x-1)

200

Factor

h³+125

(h+5)(h²-5h+25)

300

Factor

p³-216q³

(p-6q)(p²+6pq+36q²)

400

Factor

x⁴-x²-20

(x²-5)(x²+4)

500

Factor 

2x³-x²-6x-3

(2x-1)(x²-3) 

Exponent Laws

100

Simplify 

(-9)²

81

200

Simplify 

-9²

-81

300

Simplify 

3⁷*3^-3

3⁴

400

Simplify 

(3/4)²

9/16

500

Simplify 

(4³)^-2

1/4⁶

Polynomials

100

Simplify 

(11x-5)+(4x-3)

15x-8

200

Simplify 

(1-7a)-(7a-16)

17-14a

300

Simplify 

(3x-8)(2x+1)

6x²-13x-8

400

Simplify 

(x+1)²

x²+2x+1

500

Simplify

(2w-1)³

8w³-12w²+6w-1

Rational Expressions

100

Simplify 

-36x³

^--------

42x²

-6x

-----

7

200

Simplify 

15n 

-----

30n³

1

----

2n²

300

Simplify

r+6               r+1

------    +     -----

3r-6             3r-6

2r+7

-------

3r-6

400

Simplify 

   x-4               x-8

--------    +    -------

x²-2x-8          x²-2x-8

 2

----

x-4

500

Simplify 

 x-5            2x-10

-----   ÷     -------

  6               12

1

Everything Else

100

What is Mrs. Gubachy's favorite color? 

Green

200

How many dogs does Mrs. Gubachy have?

Two

300

How long has Mrs. Gubachy been married?

Almost two years.

400

What is Mrs. Gubachy's dog's names?

Sam and Anna

500

What is Mrs. Gubachy's first name? 

Sarah