Special Solutions & Inequalities Review Game

Translate Inequalities

100

Seven more than three times a number is greater than thirty-four

3n + 7 > 34

200

10 subtracted from the quotient of a number and -3 is at least -1. 

n/-3 - 10 is greater than or equal to -1

300

the sum of seven-eighths of a number and 20 is 34 at minimum

7/8n + 20 is greater than or equal to 34

400

Mr. G hired Jacob, a math tutor, to help his daughter. Due to his budget, he can pay him no more than $420 per month. If Jacob charges $35 per hour, how many hours can he tutor Mr. G's daughter each month?

35x is less than or equal to 420

at most 12 hours

500

Parker works a part-time job at Chick Fil-A which pays $55 a week. He has already saved $120 toward the purchase of a new $450 PS 5. How many weeks must he work in order to have MORE than the amount of money to buy the iPad?

55x + 120 > 450

more than 6 weeks

Solve Equations by Square Roots

100

m² / -2 = -98

m = 14 & -14

200

9x² - 7 = 18

x = 5/3 & -5/3

300

3/4y² - 11 = 232

y = 18 & -18

400

64 = v²/5 + 19

v = 15 & -15

500

1 4/15 - 2/3x² = -12 7/30

x = 9/2 & -9/2

One, No, & Infinite Solutions

100

2 (2v - 9) + 1 = -5v - 17 + 9v

-17 = -17 // infinite solutions

200

13n + 26 = 8n - 29

n = -11

300

13 - 2(4r - 5) = 5 - (7 + 8r)

23 does NOT equal -2// NO solution

400

3(3k - 10) + 1 = 8 (3/2k + 2) 

-3k = 45 // k = -15

Solve & Graph

100

a/-3 + 18 is less than or equal to 14

a is greater than or equal to 12; closed dot with arrow pointing to the right

200

19 - 4p < 55

p > -9

open dot with arrow pointing to the RIGHT

300

11n - 14 is less than or equal to 5n + 4

n is less than or equal to 3

closed dot with arrow pointing to the LEFT

400

-4/7(v + 28) < -8

v > -14

open dot with arrow pointing to the RIGHT

500

8 (5 - 2y) is greater than or equal to 15 - 9(2y + 3)

y is greater than or equal to -26

closed dot with arrow pointing to the RIGHT