MATH 101 Review Week 2

Exponents

100

3²*3⁴ is the same as

What is 3⁶ or 729?

200

The simplified form of:

x⁷/x³

x⁴

300

The expanded form of:

(2x³)⁴

What is 16x¹²?

400

The simplified form of:

2x⁴y^-3/4x^-3y⁸

What is x⁷/2y¹¹?

500

The simplified form of:

36^-3/2

What is 1/216?

Radicals

100

SQRT(36)

What is 6?

200

SQRT(50)

What is 5root(2)?

300

Rationalize the bottom:

5/SQRT(3)

What is 5root(3)/3?

400

The simplified form of:

SQRT(12x²)

What is 2x*root(3)?

500

Rationalize the bottom:

7/(sqrt(5) - 2)

What is 7root(5) + 14?

Factoring

100

Factor:

y²-25

What is (y-5)(y+5)?

200

Factor

9x²-6x+1

What is (3x-1)²?

300

Factor:

2x²-7x-30

What is (2x+5)(x-6)?

400

Factor:

x⁴-16

What is (x²+4)(x-2)(x+2)?

500

Factor:

8x²+33x+4

What is (8x+1)(x+4) ?

Rational Expressions

100

The values that are not in the domain of:

2/ (x-3)

What is 3?

200

The values not in the domain of:

2x-1 / x²+9

What is nothing or N/A?

300

(x+5) / (x^2-4)- (x+1) / (x-2)

What is 

(-x^2-2x+3) / (x^2-4)?

400

(5)/ (2x+8) + (7)/ (3x+12)

What is 

29 / (6x+24)?

500

(x^2-25) / (2x-2) / (x^2+10x+25) / (x^2+4x-5)

What is x-5/2?

Simplifying Fractions

100

The LCD of x and x+3

What is x²+3x?

200

The LCD of x-2 and x²+x-6

What is x²+x-6?

300

Solve:

1/(x-2) + (2)/(x^2+x-6)

What is 

(x+5) / (x^2+x-6)?