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Absolute Value
Linear Inequalities
Linear Equations
Product equation
Vocabulary
100
On a number line, the distance from zero.
absolute value
100
One difference between linear inequalities and equations
The signs, one solution vs. infinite solutions, inequalities flip when multiplied or divided by zero
100

1 - 2t = 0

t = 1/2

100

x(x + 3) = 0

x = 0 or x = -3

100

How to read this sign ">"

is greater than
200
The solution to |2x + 3| = 4
x=-3.5 or x = 0.5
200

The solution to 2x + 1 >= 3 

 x >= 1

200

General form of linear equation

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

200

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

x = 2 or x = 3

200

How to read this sign "=<"

Less than or equal

300
The solution to |x - 3| = 3x + 5
x = -1/2
300

The solution to 1 - 5x > 21 

x < -4

300

3x + x - 12 = 0

x = 3

300

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

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

300
What is the role of x in linear equation ax + b = 0?

variable

400

The solution to |x - 7| = 2x + 3

x = 4/3

400

The solution to -2(n + 2) < 7 - 2n 

All real numbers

400

7 - 3x = 9 - x

x = -1

400

(x2 - 1)(x + 7) = 0

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

400
What is the role of a and b in linear inequality ax + b > 0?

constant

500

The solution to |5x - 4| < |x + 4|

x = 2 or x = 0

500

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

No solution

500

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

No solution

500

(2x + 1)(x2 + 2) = 0

x = -1/2

500

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

equivalent inequalities