Linear Equations and Inequalities Jeopardy Review Game

Which are solutions (linear)

100

Which ordered pairs are solutions to the inequality:

                           y < 2x - 1

           (-3, -2)   (1, -6)   (1, 3)   (3, 14)

                         (1, -6) & (1, 3)

200

Which ordered pairs are solutions to the inequality:

y >= -x + 4

(4, -1)   (1, 3)  (-8, 4)  (11, 7)   

(1, 3) & (11, 7)

300

Which ordered pairs are solutions to the inequality:

y<= 1/2x + 5

(-4, 1)   (8, -6)   (1, 6)   (6, 8)

(-4, 1), (8, -6) & (6, 8)

400

Which ordered pairs are solutions to the inequality:

y > 3x - 1

(5, 16)   (2, 3)   (-3, -10)   (-8, 4)

(5, 16) & (-8, 4)

500

How many points is every test worth in this class?

70 points 

(70% of your grade)

Solutions to both (systems)

100

One difference between linear inequalities and equations

The signs, one solution vs. infinite solutions, inequalities flip when multiplied or divided by zero

200

The solution to 2x + 1 >= 3 

 x >= 1

300

The solution to 1 - 5x > 21 

x < -4

400

The solution to -2(n + 2) < 7 - 2n 

All real numbers

500

The solution to 2x + 9(1 - x) >= -2(2x - 5) - 3x

No solution

Linear Equations

100

1 - 2t = 0

t = 1/2

200

General form of linear equation

ax + b = 0 (a is different from 0)

300

3x + x - 12 = 0

x = 3

400

7 - 3x = 9 - x

x = -1

500

12(x + 6) - 3x = 9x + 5

No solution

Product equation

100

x(x + 3) = 0

x = 0 or x = -3

200

(x - 2)(x - 3) = 0

x = 2 or x = 3

300

(x - 4)(x - 5)(x - 6) = 0

x = 4, x = 5, or x = 6.

400

(x² - 1)(x + 7) = 0

x = -7, x = -1, x = 1

500

(2x + 1)(x² + 2) = 0

x = -1/2

Vocabulary

100

How to read this sign ">"

is greater than

200

How to read this sign "=<"

Less than or equal

300

What is the role of x in linear equation ax + b = 0?

variable

400

What is the role of a and b in linear inequality ax + b > 0?

constant

500

How to call two linear inequalities with the same set of solution?

equivalent inequalities