# Sorting

0.211, 0.201, 0.300, 0.310, 0.212 Â â†’ Â 0.201, 0.211, 0.212, 0.300, 0.311

# Slope Specials

Vertical, Horizontal, Parallel, Perpendicular

# Point-Slope

Point-Slope Form of the Equation of a Line
point-slope form of the equation of a line
y – y1Â = m(x – x1)

# Tables

Although the Mathematical Reasoning module of the GED allows you to utilize a calculator for most of its questions, knowledge of mathematical tables is useful for the five
calculator-prohibited questions.

Knowing multiplication and division tables is particularly helpful with factoringÂ and simplifying aÂ square root.

Knowing multiplication and division tables is also helpful for working with equations and inequalities.

Knowing mathematicalÂ tables has a way of coming in handy in realÂ life, too.

Addition, Subtraction, Multiplication, and Division tables are provided below.

 0 + 0 = 0 1 + 0 = 1 2 + 0 = 2 0 + 1 = 1 1 + 1 = 2 2 + 1 = 3 0 + 2 = 2 1 + 2 = 3 2 + 2 = 4 0 + 3 = 3 1 + 3 = 4 2 + 3 = 5 0 + 4 = 4 1 + 4 = 5 2 + 4 = 6 0 + 5 = 5 1 + 5 = 6 2 + 5 = 7 0 + 6 = 6 1 + 6 = 7 2 + 6 = 8 0 + 7 = 7 1 + 7 = 8 2 + 7 = 9 0 + 8 = 8 1 + 8 = 9 2 + 8 = 10 0 + 9 = 9 1 + 9 = 10 2 + 9 = 11 0 + 10 = 10 1 + 10 = 11 2 + 10 = 12 0 + 11 = 11 1 + 11 = 12 2 + 11 = 13 0 + 12 = 12 1 + 12 = 13 2 + 12 = 14 3 + 0 = 3 4 + 0 = 4 5 + 0 = 5 3 + 1 = 4 4 + 1 = 5 5 + 1 = 6 3 + 2 = 5 4 + 2 = 6 5 + 2 = 7 3 + 3 = 6 4 + 3 = 7 5 + 3 = 8 3 + 4 = 7 4 + 4 = 8 5 + 4 = 9 3 + 5 = 8 4 + 5 = 9 5 + 5 = 10 3 + 6 = 9 4 + 6 = 10 5 + 6 = 11 3 + 7 = 10 4 + 7 = 11 5 + 7 = 12 3 + 8 = 11 4 + 8 = 12 5 + 8 = 13 3 + 9 = 12 4 + 9 = 13 5 + 9 = 14 3 + 10 = 13 4 + 10 = 14 5 + 10 = 15 3 + 11 = 14 4 + 11 = 15 5 + 11 = 16 3 + 12 = 15 4 + 12 = 16 5 + 12 = 17 6 + 0 = 6 7 + 0 = 7 8 + 0 = 8 6 + 1 = 7 7 + 1 = 8 8 + 1 = 9 6 + 2 = 8 7 + 2 = 9 8 + 2 = 10 6 + 3 = 9 7 + 3 = 10 8 + 3 = 11 6 + 4 = 10 7 + 4 = 11 8 + 4 = 12 6 + 5 = 11 7 + 5 = 12 8 + 5 = 13 6 + 6 = 12 7 + 6 = 13 8 + 6 = 14 6 + 7 = 13 7 + 7 = 14 8 + 7 = 15 6 + 8 = 14 7 + 8 = 15 8 + 8 = 16 6 + 9 = 15 7 + 9 = 16 8 + 9 = 17 6 + 10 = 16 7 + 10 = 17 8 + 10 = 18 6 + 11 = 17 7 + 11 = 18 8 + 11 = 19 6 + 12 = 18 7 + 12 = 19 8 + 12 = 20 9 + 0 = 9 10 + 0 = 10 11 + 0 = 11 9 + 1 = 10 10 + 1 = 11 11 + 1 = 12 9 + 2 = 11 10 + 2 = 12 11 + 2 = 13 9 + 3 = 12 10 + 3 = 13 11 + 3 = 14 9 + 4 = 13 10 + 4 = 14 11 + 4 = 15 9 + 5 = 14 10 + 5 = 15 11 + 5 = 16 9 + 6 = 15 10 + 6 = 16 11 + 6 = 17 9 + 7 = 16 10 + 7 = 17 11 + 7 = 18 9 + 8 = 17 10 + 8 = 18 11 + 8 = 19 9 + 9 = 18 10 + 9 = 19 11 + 9 = 20 9 + 10 = 19 10 + 10 = 20 11 + 10 = 21 9 + 11 = 20 10 + 11 = 21 11 + 11 = 22 9 + 12 = 21 10 + 12 = 22 11 + 12 = 23 12 + 0 = 12 12 + 1 = 13 12 + 2 = 14 12 + 3 = 15 12 + 4 = 16 12 + 5 = 17 12 + 6 = 18 12 + 7 = 19 12 + 8 = 20 12 + 9 = 21 12 + 10 = 22 12 + 11 = 23 12 + 12 = 24

Subtraction

 0 âˆ’ 0 = 0 1 âˆ’ 0 = 1 2 âˆ’ 0 = 2 0 âˆ’ 1 = -1 1 âˆ’ 1 = 0 2 âˆ’ 1 = 1 0 âˆ’ 2 = -2 1 âˆ’ 2 = -1 2 âˆ’ 2 = 0 0 âˆ’ 3 = -3 1 âˆ’ 3 = -2 2 âˆ’ 3 = -1 0 âˆ’ 4 = -4 1 âˆ’ 4 = -3 2 âˆ’ 4 = -2 0 âˆ’ 5 = -5 1 âˆ’ 5 = -4 2 âˆ’ 5 = -3 0 âˆ’ 6 = -6 1 âˆ’ 6 = -5 2 âˆ’ 6 = -4 0 âˆ’ 7 = -7 1 âˆ’ 7 = -6 2 âˆ’ 7 = -5 0 âˆ’ 8 = -8 1 âˆ’ 8 = -7 2 âˆ’ 8 = -6 0 âˆ’ 9 = -9 1 âˆ’ 9 = -8 2 âˆ’ 9 = -7 0 âˆ’ 10 = -10 1 âˆ’ 10 = -9 2 âˆ’ 10 = -8 0 âˆ’ 11 = -11 1 âˆ’ 11 = -10 2 âˆ’ 11 = -9 0 âˆ’ 12 = -12 1 âˆ’ 12 = -11 2 âˆ’ 12 = -10 3 âˆ’ 0 = 3 4 âˆ’ 0 = 4 5 âˆ’ 0 = 5 3 âˆ’ 1 = 2 4 âˆ’ 1 = 3 5 âˆ’ 1 = 4 3 âˆ’ 2 = 1 4 âˆ’ 2 = 2 5 âˆ’ 2 = 3 3 âˆ’ 3 = 0 4 âˆ’ 3 = 1 5 âˆ’ 3 = 2 3 âˆ’ 4 = -1 4 âˆ’ 4 = 0 5 âˆ’ 4 = 1 3 âˆ’ 5 = -2 4 âˆ’ 5 = -1 5 âˆ’ 5 = 0 3 âˆ’ 6 = -3 4 âˆ’ 6 = -2 5 âˆ’ 6 = -1 3 âˆ’ 7 = -4 4 âˆ’ 7 = -3 5 âˆ’ 7 = -2 3 âˆ’ 8 = -5 4 âˆ’ 8 = -4 5 âˆ’ 8 = -3 3 âˆ’ 9 = -6 4 âˆ’ 9 = -5 5 âˆ’ 9 = -4 3 âˆ’ 10 = -7 4 âˆ’ 10 = -6 5 âˆ’ 10 = -5 3 âˆ’ 11 = -8 4 âˆ’ 11 = -7 5 âˆ’ 11 = -6 3 âˆ’ 12 = -9 4 âˆ’ 12 = -8 5 âˆ’ 12 = -7 6 âˆ’ 0 = 6 7 âˆ’ 0 = 7 8 âˆ’ 0 = 8 6 âˆ’ 1 = 5 7 âˆ’ 1 = 6 8 âˆ’ 1 = 7 6 âˆ’ 2 = 4 7 âˆ’ 2 = 5 8 âˆ’ 2 = 6 6 âˆ’ 3 = 3 7 âˆ’ 3 = 4 8 âˆ’ 3 = 5 6 âˆ’ 4 = 2 7 âˆ’ 4 = 3 8 âˆ’ 4 = 4 6 âˆ’ 5 = 1 7 âˆ’ 5 = 2 8 âˆ’ 5 = 3 6 âˆ’ 6 = 0 7 âˆ’ 6 = 1 8 âˆ’ 6 = 2 6 âˆ’ 7 = -1 7 âˆ’ 7 = 0 8 âˆ’ 7 = 1 6 âˆ’ 8 = -2 7 âˆ’ 8 = -1 8 âˆ’ 8 = 0 6 âˆ’ 9 = -3 7 âˆ’ 9 = -2 8 âˆ’ 9 = -1 6 âˆ’ 10 = -4 7 âˆ’ 10 = -3 8 âˆ’ 10 = -2 6 âˆ’ 11 = -5 7 âˆ’ 11 = -4 8 âˆ’ 11 = -3 6 âˆ’ 12 = -6 7 âˆ’ 12 = -5 8 âˆ’ 12 = -4 9 âˆ’ 0 = 9 10 âˆ’ 0 = 10 11 âˆ’ 0 = 11 9 âˆ’ 1 = 8 10 âˆ’ 1 = 9 11 âˆ’ 1 = 10 9 âˆ’ 2 = 7 10 âˆ’ 2 = 8 11 âˆ’ 2 = 9 9 âˆ’ 3 = 6 10 âˆ’ 3 = 7 11 âˆ’ 3 = 8 9 âˆ’ 4 = 5 10 âˆ’ 4 = 6 11 âˆ’ 4 = 7 9 âˆ’ 5 = 4 10 âˆ’ 5 = 5 11 âˆ’ 5 = 6 9 âˆ’ 6 = 3 10 âˆ’ 6 = 4 11 âˆ’ 6 = 5 9 âˆ’ 7 = 2 10 âˆ’ 7 = 3 11 âˆ’ 7 = 4 9 âˆ’ 8 = 1 10 âˆ’ 8 = 2 11 âˆ’ 8 = 3 9 âˆ’ 9 = 0 10 âˆ’ 9 = 1 11 âˆ’ 9 = 2 9 âˆ’ 10 = -1 10 âˆ’ 10 = 0 11 âˆ’ 10 = 1 9 âˆ’ 11 = -2 10 âˆ’ 11 = -1 11 âˆ’ 11 = 0 9 âˆ’ 12 = -3 10 âˆ’ 12 = -2 11 âˆ’ 12 = -1 12 âˆ’ 0 = 12 12 âˆ’ 1 = 11 12 âˆ’ 2 = 10 12 âˆ’ 3 = 9 12 âˆ’ 4 = 8 12 âˆ’ 5 = 7 12 âˆ’ 6 = 6 12 âˆ’ 7 = 5 12 âˆ’ 8 = 4 12 âˆ’ 9 = 3 12 âˆ’ 10 = 2 12 âˆ’ 11 = 1 12 âˆ’ 12 = 0

Multiplication

 0 Ã— 0 = 0 1 Ã— 0 = 0 2 Ã— 0 = 0 0 Ã— 1 = 0 1 Ã— 1 = 1 2 Ã— 1 = 2 0 Ã— 2 = 0 1 Ã— 2 = 2 2 Ã— 2 = 4 0 Ã— 3 = 0 1 Ã— 3 = 3 2 Ã— 3 = 6 0 Ã— 4 = 0 1 Ã— 4 = 4 2 Ã— 4 = 8 0 Ã— 5 = 0 1 Ã— 5 = 5 2 Ã— 5 = 10 0 Ã— 6 = 0 1 Ã— 6 = 6 2 Ã— 6 = 12 0 Ã— 7 = 0 1 Ã— 7 = 7 2 Ã— 7 = 14 0 Ã— 8 = 0 1 Ã— 8 = 8 2 Ã— 8 = 16 0 Ã— 9 = 0 1 Ã— 9 = 9 2 Ã— 9 = 18 0 Ã— 10 = 0 1 Ã— 10 = 10 2 Ã— 10 = 20 0 Ã— 11 = 0 1 Ã— 11 = 11 2 Ã— 11 = 22 0 Ã— 12 = 0 1 Ã— 12 = 12 2 Ã— 12 = 24 3 Ã— 0 = 0 4 Ã— 0 = 0 5 Ã— 0 = 0 3 Ã— 1 = 3 4 Ã— 1 = 4 5 Ã— 1 = 5 3 Ã— 2 = 6 4 Ã— 2 = 8 5 Ã— 2 = 10 3 Ã— 3 = 9 4 Ã— 3 = 12 5 Ã— 3 = 15 3 Ã— 4 = 12 4 Ã— 4 = 16 5 Ã— 4 = 20 3 Ã— 5 = 15 4 Ã— 5 = 20 5 Ã— 5 = 25 3 Ã— 6 = 18 4 Ã— 6 = 24 5 Ã— 6 = 30 3 Ã— 7 = 21 4 Ã— 7 = 28 5 Ã— 7 = 35 3 Ã— 8 = 24 4 Ã— 8 = 32 5 Ã— 8 = 40 3 Ã— 9 = 27 4 Ã— 9 = 36 5 Ã— 9 = 45 3 Ã— 10 = 30 4 Ã— 10 = 40 5 Ã— 10 = 50 3 Ã— 11 = 33 4 Ã— 11 = 44 5 Ã— 11 = 55 3 Ã— 12 = 36 4 Ã— 12 = 48 5 Ã— 12 = 60 6 Ã— 0 = 0 7 Ã— 0 = 0 8 Ã— 0 = 0 6 Ã— 1 = 6 7 Ã— 1 = 7 8 Ã— 1 = 8 6 Ã— 2 = 12 7 Ã— 2 = 14 8 Ã— 2 = 16 6 Ã— 3 = 18 7 Ã— 3 = 21 8 Ã— 3 = 24 6 Ã— 4 = 24 7 Ã— 4 = 28 8 Ã— 4 = 32 6 Ã— 5 = 30 7 Ã— 5 = 35 8 Ã— 5 = 40 6 Ã— 6 = 36 7 Ã— 6 = 42 8 Ã— 6 = 48 6 Ã— 7 = 42 7 Ã— 7 = 49 8 Ã— 7 = 56 6 Ã— 8 = 48 7 Ã— 8 = 56 8 Ã— 8 = 64 6 Ã— 9 = 54 7 Ã— 9 = 63 8 Ã— 9 = 72 6 Ã— 10 = 60 7 Ã— 10 = 70 8 Ã— 10 = 80 6 Ã— 11 = 66 7 Ã— 11 = 77 8 Ã— 11 = 88 6 Ã— 12 = 72 7 Ã— 12 = 84 8 Ã— 12 = 96 9 Ã— 0 = 0 10 Ã— 0 = 0 11 Ã— 0 = 0 9 Ã— 1 = 9 10 Ã— 1 = 10 11 Ã— 1 = 11 9 Ã— 2 = 18 10 Ã— 2 = 20 11 Ã— 2 = 22 9 Ã— 3 = 27 10 Ã— 3 = 30 11 Ã— 3 = 33 9 Ã— 4 = 36 10 Ã— 4 = 40 11 Ã— 4 = 44 9 Ã— 5 = 45 10 Ã— 5 = 50 11 Ã— 5 = 55 9 Ã— 6 = 54 10 Ã— 6 = 60 11 Ã— 6 = 66 9 Ã— 7 = 63 10 Ã— 7 = 70 11 Ã— 7 = 77 9 Ã— 8 = 72 10 Ã— 8 = 80 11 Ã— 8 = 88 9 Ã— 9 = 81 10 Ã— 9 = 90 11 Ã— 9 = 99 9 Ã— 10 = 90 10 Ã— 10 = 100 11 Ã— 10 = 110 9 Ã— 11 = 99 10 Ã— 11 = 110 11 Ã— 11 = 121 9 Ã— 12 = 108 10 Ã— 12 = 120 11 Ã— 12 = 132 12 Ã— 0 = 0 12 Ã— 1 = 12 12 Ã— 2 = 24 12 Ã— 3 = 36 12 Ã— 4 = 48 12 Ã— 5 = 60 12 Ã— 6 = 72 12 Ã— 7 = 84 12 Ã— 8 = 96 12 Ã— 9 = 108 12 Ã— 10 = 120 12 Ã— 11 = 132 12 Ã— 12 = 144

Division

 0 Ã· 0 = âˆž 0 Ã· 1 = 0 0 Ã· 2 = 0 1 Ã· 0 = âˆž 1 Ã· 1 = 1 2 Ã· 2 = 1 2 Ã· 0 = âˆž 2 Ã· 1 = 2 4 Ã· 2 = 2 3 Ã· 0 = âˆž 3 Ã· 1 = 3 6 Ã· 2 = 3 4 Ã· 0 = âˆž 4 Ã· 1 = 4 8 Ã· 2 = 4 5 Ã· 0 = âˆž 5 Ã· 1 = 5 10 Ã· 2 = 5 6 Ã· 0 = âˆž 6 Ã· 1 = 6 12 Ã· 2 = 6 7 Ã· 0 = âˆž 7 Ã· 1 = 7 14 Ã· 2 = 7 8 Ã· 0 = âˆž 8 Ã· 1 = 8 16 Ã· 2 = 8 9 Ã· 0 = âˆž 9 Ã· 1 = 9 18 Ã· 2 = 9 10 Ã· 0 = âˆž 10 Ã· 1 = 10 20 Ã· 2 = 10 11 Ã· 0 = âˆž 11 Ã· 1 = 11 22 Ã· 2 = 11 12 Ã· 0 = âˆž 12 Ã· 1 = 12 24 Ã· 2 = 12 0 Ã· 3 = 0 0 Ã· 4 = 0 0 Ã· 5 = 0 3 Ã· 3 = 1 4 Ã· 4 = 1 5 Ã· 5 = 1 6 Ã· 3 = 2 8 Ã· 4 = 2 10 Ã· 5 = 2 9 Ã· 3 = 3 12 Ã· 4 = 3 15 Ã· 5 = 3 12 Ã· 3 = 4 16 Ã· 4 = 4 20 Ã· 5 = 4 15 Ã· 3 = 5 20 Ã· 4 = 5 25 Ã· 5 = 5 18 Ã· 3 = 6 24 Ã· 4 = 6 30 Ã· 5 = 6 21 Ã· 3 = 7 28 Ã· 4 = 7 35 Ã· 5 = 7 24 Ã· 3 = 8 32 Ã· 4 = 8 40 Ã· 5 = 8 27 Ã· 3 = 9 36 Ã· 4 = 9 45 Ã· 5 = 9 30 Ã· 3 = 10 40 Ã· 4 = 10 50 Ã· 5 = 10 33 Ã· 3 = 11 44 Ã· 4 = 11 55 Ã· 5 = 11 36 Ã· 3 = 12 48 Ã· 4 = 12 60 Ã· 5 = 12 0 Ã· 6 = 0 0 Ã· 7 = 0 0 Ã· 8 = 0 6 Ã· 6 = 1 7 Ã· 7 = 1 8 Ã· 8 = 1 12 Ã· 6 = 2 14 Ã· 7 = 2 16 Ã· 8 = 2 18 Ã· 6 = 3 21 Ã· 7 = 3 24 Ã· 8 = 3 24 Ã· 6 = 4 28 Ã· 7 = 4 32 Ã· 8 = 4 30 Ã· 6 = 5 35 Ã· 7 = 5 40 Ã· 8 = 5 36 Ã· 6 = 6 42 Ã· 7 = 6 48 Ã· 8 = 6 42 Ã· 6 = 7 49 Ã· 7 = 7 56 Ã· 8 = 7 48 Ã· 6 = 8 56 Ã· 7 = 8 64 Ã· 8 = 8 54 Ã· 6 = 9 63 Ã· 7 = 9 72 Ã· 8 = 9 60 Ã· 6 = 10 70 Ã· 7 = 10 80 Ã· 8 = 10 66 Ã· 6 = 11 77 Ã· 7 = 11 88 Ã· 8 = 11 72 Ã· 6 = 12 84 Ã· 7 = 12 96 Ã· 8 = 12 0 Ã· 9 = 0 0 Ã· 10 = 0 0 Ã· 11 = 0 9 Ã· 9 = 1 10 Ã· 10 = 1 11 Ã· 11 = 1 18 Ã· 9 = 2 20 Ã· 10 = 2 22 Ã· 11 = 2 27 Ã· 9 = 3 30 Ã· 10 = 3 33 Ã· 11 = 3 36 Ã· 9 = 4 40 Ã· 10 = 4 44 Ã· 11 = 4 45 Ã· 9 = 5 50 Ã· 10 = 5 55 Ã· 11 = 5 54 Ã· 9 = 6 60 Ã· 10 = 6 66 Ã· 11 = 6 63 Ã· 9 = 7 70 Ã· 10 = 7 77 Ã· 11 = 7 72 Ã· 9 = 8 80 Ã· 10 = 8 88 Ã· 11 = 8 81 Ã· 9 = 9 90 Ã· 10 = 9 99 Ã· 11 = 9 90 Ã· 9 = 10 100 Ã· 10 = 10 110 Ã· 11 = 10 99 Ã· 9 = 11 110 Ã· 10 = 11 121 Ã· 11 = 11 108 Ã· 9 = 12 120 Ã· 10 = 12 132 Ã· 11 = 12 0 Ã· 12 = 0 12 Ã· 12 = 1 24 Ã· 12 = 2 36 Ã· 12 = 3 48 Ã· 12 = 4 60 Ã· 12 = 5 72 Ã· 12 = 6 84 Ã· 12 = 7 96 Ã· 12 = 8 108 Ã· 12 = 9 120 Ã· 12 = 10 132 Ã· 12 = 11 144 Ã· 12 = 12

table_subtraction

table_multiplication

table_division

# Measurement

1 foot = 12 inches

1 meter = 100 centimeters

# Order of Operations

Order of Operations = PEMDAS

# Slope

Slope refers to the Steepness of a Line

# Division Signs

There are multipleÂ versions of the division sign.

# Inequalities

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# Algebraic Expressions

Everyday Language Â —>Â  Math Action

# Parallelogram

Parallelogram = Flat Four-Sided Shape in which Opposite Sides are Parallel

# Trapezoid

Trapezoid = Flat Four-Sided Shape with Two Parallel Sides

# Cylinder

Cylinder = Three-Dimensional Shape with Circular Top and Base