Unit 1 Review

Real Number System

100

Classify: 0

R, Q, Z, W

200

Classify: 63/7

R, Q, W, Z, N

300

Classify: -0.12385639173...

R, I

400

Classify: pi/pi

R, Q, Z, W, N

500

Classify: cube root (-1000)

R, Q, Z

Properties

100

(x+3)+4 = (3+x)+4

commutative

200

2=2

reflexive

300

-6x² + 6x² = 0

Inverse of addition

400

a(a+3) = a² + 3a

distributive

500

0(x² - 18x + 81) = 0

Zero product property

Expressions

100

translate: two less than the product of a number and -7

-7x - 2

200

Translate: 5 times the sum of a number and 2 is at most 25

5(n + 2) <= 25

300

Evaluate: 3x³ - 8y²  if x=2 and y=-3

96

400

Evaluate: |-3xy + x³|  if x=-2 and y=4

16

500

Simplify: 9(x-3) - (x+2)

8x - 29

Equations

100

Solve: 3x-7=11

x=6

200

Solve: (x-17)/3 = -3

x = 8

300

Solve: 9 - 3/4x = 57

x = -64

400

Solve: 2/5x - 3 = -17

x = -35

500

Solve: 4 - x/7 = 5

x = -7

Inequalities

100

Solve: 18-2x>4

x<7

200

Solve: 5/8x - 1 <= 9

x <= 16

300

Solve: 3x + 5 < 14

x < 3

400

Solve: 3x - 9 > 24

x > 11

500

Solve: -3(n-5)-11 < -38

n > 14