College Algebra Unit 1 and 2

Exponents

100

Simplify.

(-8uv⁴)²

64u⁴v⁸

200

Simplify.

(b⁵a⁶)/(b⁷a)

a⁵/b²

300

Rewrite without a negative exponent.

(-4)^-3

-1/64

400

Rewrite with a positive exponent:

(9/7)^-2

49/81

500

Simplify.

((-2a⁴)/b)⁵

(-32a²⁰)/b⁵

Factoring

100

Factor:

7u⁶w²x⁸-28u²w³

7u²w²(u⁴x⁸-4w)

200

Factor:

2z²+19z-21

(z-1)(2z+21)

300

Factor:

4x²+12x-7

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

400

Factor:

-7w²+18w-8

-(w-2)(7w-4)

500

Factor:

63v²-28

7(3v-2)(3v+2)

Radicals

100

Simplify.

⁴√(1/16)

1/2

200

Simplify.

√54

3√ 6

300

Simplify.

√18u⁷

3u³√ 2u

400

Simplify.

-2√ 32 + √ 98

-√ 2

500

Multiply:

√32 x 3√72

144

Quadratics

100

Solve for w. 

4w²=24w

w=0,6

200

Solve for y. 

-30y=9y²+25

y=-5/3

300

Use the quadratic formula to solve for x.

2x²+2x-1=0

(-2±√12)/4

400

Solve for u.

(u+4)²-9=0

u=-1,-7

500

Solve for x.

2x²+11x+21=(x+7)²

x=7,-4

Rational Expressions

100

Simplify.

(30y⁵)/(5y²)

6y³

200

Simplify.

(v²-3v-18)/(6v²+60v+126)

(v-6)/(6(v+7))

300

Subtract.

(7/x)-(6/(x+1))

(x+7)/(x(x+1))

400

Simplify.

(9/(7/6))

54/7

500

Determine excluded domain values.

(x+2)/(x²-6x-16)

x=-2,8