Math 025 final review

Properties

100

(-3)(8) = (8)(-3)

Commutative 

200

5(4 x 10) = (5 x 4) x 10

Associative

300

10(x + 9) = 10x + 10 x 9

Distributive

400

(4x + 1)(2y - 6) = 8xy - 24x + 2y - 6

Distributive

500

6x + 4y = 4y + 6x

Commutative

Simplify

100

(5x² - 7xy + y²) + (-6x² - 3xy - y²)

-x² - 10xy

200

(7x + 1)²

49x + 14x + 1

300

21x⁷y³ / 56x²y⁹

3x⁵ / 8y⁶

400

(8a³)(5a⁴)

40a⁷

500

n² / n⁷

1 / n⁵

Factor

100

16x + 4y - 12z

4(4x + y - 3z)

200

5a - 20ad + 3bc - 12bcd

(1 - 4d)(5a + 3bc)

300

2x² + 3x - 5

(x - 1)(2x + 5)

400

2d² - 128

2(d - 8)(d + 8)

500

12x² + 12x + 3

3(2x + 1)²

Computation

100

-15 + 6 / 3 - 4² - (3 - 2 x 5)

-22

200

(-3/4 + 1/2)²

1/16

300

(-3/16)(-2/9)

1/24

400

0/3

0

500

-7 - (-8)

1

Slope

100

y = -5x

-5; (0,0)

200

x = 2

Undefinded; none

300

y = 1

0; (0,1)

400

2x + y = 8

-2; (0,8)

500

y = 3/8 x - 4

3/8; (0,-4)