MTH100 FE Review

Ch 10 Exponents

100

(-y)^-2

- 1/y²

200

-(2x^-1)³

-8/x³

300

-(xy^-1)^-6

-y⁶/x⁶

400

(a^-1b³/c)^-1

ac/b³

500

(12a^-2/18bc^-3)^-2

9a⁴b²/4c⁶

Ch 11 Factoring

100

Factor:

12x² - 4x - 5

(6x - 5)(2x + 1)

200

Factor:

25x² - 100

25(x+2)(x-2)

300

5x³ - 5xy²

5x(x+y)(x-y)

400

t³ - 64t

t (t + 8) (t - 8)

500

4x⁴ - 4y⁴

4 (x² + y²) (x + y) (x - y)

Ch 12 Rationals

100

x/2 + 2x/7

11x/14

200

3x/y - 5y/x

3x² - 5y²

----------

   xy

300

x/2 + 2/x

x² + 4

--------

   2x

400

Solve for z:

(4-y)/2 - (y+4)/2 = 1

y = -1

500

Solve for z:

(z+1)/2 - (2z+4)/8 = 3/4

z = 3

Ch 13 Radicals

100

(x^1/2 - 3)(x^1/2 + 3)

x-9

200

(root x - root 3)(root x + root 12)

x + root (3x) - 6

300

Rationalize the denominator:

4/(root x)

4(root x) / x

400

Rationalize the denominator:

7 / (root 21)

(root 21) / 3

500

-1 / (root x    +  1)

(-1 - root x) / (x-1)

Ch 8 Finding y=mx+b

100

What is the y intercept (x,y) form:

2x + y = 1

(0,1)

200

What is the y intercept (x,y) form:

5x - 10y = 15

(0, -3/2)

300

What is the x intercept (x,y) form:

4x - 3y = 12

(3,0)

400

What is the x intercept (x,y) form:

-2x - y = 10

(-5,0)

500

What is the slope?

4x - 7y = 28

4/7