SAT Class 1

Absolute Value

Represents the distance of a number from 0.

|x - 3| = 5

The distance between x and 3 is 5.

|x - a| = b

The distance between x and a is b.

|x + a| = b

Distance between x and -a is b.

| -2x + 1 | < 1

An inequality involving an absolute value.

Convert inequality to equality

| -2x + 1 | = 1.

Subtraction = Distance

The distance between two numbers can be found by subtracting them.

Example of absolute value in subtraction

|x - 3| = 9 means distance between 3 and 9 is 6.

Mathematical expression for distances

AC = a, CE = b, and a + b = 25.

3a + 3b = 3(a + b)

An equation representing a relationship where a + b = 25.

Parallelism in geometry

Things that are parallel align in some way.

Independent Clause (IC)

A clause that expresses a complete thought.

Dependent Clause (DC)

Cannot stand alone and depends on an independent clause.

Function of an article

Noun announcer, e.g., 'a,' 'an,' 'the.'

Adjective

A word that describes a noun.

Adverb

A word that describes how, when, where, or why an action is done.

Difference between adjective and adverb

'Lavish' describes a noun; 'lavishly' describes how the action is done.

Example of a simple sentence

'I took a walk.' consists of subject, verb, and object.

Example of a linking verb sentence

'I was tired.' has a subject, linking verb, and adjective.

Logic

The flow of facts or reasoning processes.

Common sense

Derives from understanding and interpreting facts.

Example of logical reasoning

'If A, then B.' implies a cause and effect relationship.

Distance formula

If |x - a| = b, distance between x and a is b.

Mathematical equality

A statement that two expressions are equal; e.g., | -2x + 1 | = 1.

Function of articles in French

French articles include le, la, les.

Action verb examples

'Go' and 'walk' are verbs indicating actions.