Algebra 2 math competition practice

Equations and Inequalities

100

|x-3|=5

What are the two answers

2 and 8

200

-10 > -8w -12 

What is the simplified inequality

w < -4

300

|x-3| > 5

What is the simplified inequality 

-2 > x > 8

400

Jillian drove at 60 mph for 3 hours. James took over driving and drove 50 mph for the last 2 hours of the trip. How long was the trip

280 miles

500

Find the whole number satisfies both equations

7 - 2x > 3

3x - 3 > 15

3

Matricies and imanginary #s

100

i =

The square root of -1

200

i¹⁹

-i

300

[5 14]             [ 7  4]

[7   6]      -      [ 8  7]

[-2 10]

[-1  -1]

400

 5i² + 7i + 2

7i -3

500

[5 14]             [ 2]

[7   6]      x     [ 2]

[38]

[26]

funtions and graphing

100

Is its verical or horizantal

y=1

vertical 

200

Where would it start (the coordinate points) and would it face up or down 

|x+3| -2

(-3,-2) 

300

What are the solutions

x² +5x = -6

x= -2 or -3

400

What are the solutions

(x-3)² = 25

x= 2 or 8

500

What are the solutions

x³ + 3x² - 25x - 75

x= -5 or 5 or -3

definitions

100

is √(3) a real number

yes

200

Is x a base or exponent 

2^x

exponent

300

is √(-1) a real number

no

400

what is the multiplicative inverse of 5

1/5

500

is 0 a natural number 

no