# Verb-Verb Agreement

The dogÂ walks, sniffs, and barks.

The dogÂ walked, sniffed, and barked.

# Sorting

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

# Estimating

$19.95Â â‰ˆ$20.00

# Context

The meaning of a wordÂ can beÂ inferred from its context.

# Inference

InferenceÂ asks: Â What can you infer fromÂ what you just read?

# Detail

Detail asks: Â What is a detailÂ of what you just read?

# Main Idea

Main Idea asks: Â What is the main idea of what you just read?

# Slope Specials

Vertical, Horizontal, Parallel, Perpendicular

# Point-Slope

Point-Slope Form of the Equation of a Line
$\bf\displaystyle y-{{y}_{1}}=m(x-{{x}_{1}})$

# 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

# Division by Zero = Undefined

Do not divide by zero.

# Percents

% is a multiplier.

# Dangling Modifiers

Wrong: Â Having finished shopping, the grocery list had no more use.

Right: Â Having finished shopping, I had no more use for the grocery list.

He spoke to us.

# Capitalization

Mr. and Mrs. John Doe visited Waterloo, Iowa.

Their

There

They’re