Algebra 1 Review

Degrees & Number of Terms

100

Name each polynomial by degree and number of terms:

3a³

Cubic Monomial

200

Name each polynomial by degree and number of terms:

2+6x³+9x

Cubic Trinomial

6x³+9x+2

300

Name each polynomial by degree and number of terms:

-27xy²z

Quartic Monomial

400

Name each polynomial by degree and number of terms:

-8b³+b²-10+6b

Cubic Polynomial

500

Name each polynomial by degree and number of terms: 

10m-10m⁶

6th Degree Binomial

Simplify the Expression

100

Simplify the expression:

6(5a-4)

30a-24

200

Simplify the expression:

-5(-p²-8p+1)

5p²+40p-5

300

Simplify the expression:

(-7n-6)(4n-3)

-28n²-3n+18

400

Simplify the expression:

(3x-3+4x²) + (-2x+7x²+8)

11x²+x+5

500

Simplify the expression:

(2b³-b⁴-7n) - (-5b⁴+2-4b³)

4b⁴+6b³-7b-2

Simplify w/ Exponents

100

Simplify.  Your answer should contain ONLY positive exponents.

(x^-2)² / xy⁴

1 / x⁵y⁴

200

Simplify.  Your answer should contain ONLY positive exponents.

n / (3n² * (2n²)³)

1 / 24n⁷

300

Simplify.  Your answer should contain ONLY positive exponents.

(v³)³ * (2v)⁰ / v

v⁸

400

Simplify.  Your answer should contain ONLY positive exponents.

(x^-2)² / x³y^-3

y³ / x⁷

500

Simplify.  Your answer should contain ONLY positive exponents.

x³y³ * x³ / 4x²

x⁴y³ / 4

Factoring w/ Trinomials

100

Factor completely:

v²-11v+28

(v-7)(v-4)

200

Factor completely:

3n²+48n+180

3(n+10)(n+6)

300

Factor completely:

48ab³+40a¹⁰b⁶

8ab³(6+5a⁹b³)

400

Factor completely:

-10x²+19x-6

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

500

Factor completely:

36p²-78p-168

6(2p-7)(3p+4)