SAT Practice Test #9 Concepts and Vocabulary

Flashcards defining essential grammar, reading analysis, and mathematical terms from the SAT Practice Test #9 official answer explanations.

Finite Verb

A verb form that indicates tense, person, or number and can function as the main verb of an independent or relative clause.

Relative Clause

A dependent clause, often beginning with a relative pronoun such as "which," that modifies a preceding noun and requires a finite verb.

Restrictive Appositive

A noun or noun phrase that provides essential identifying information about the noun preceding it and is not set off by punctuation.

Comma Splice

A grammatical error occurring when two independent main clauses are joined with only a comma and without a coordinating conjunction.

Pando

A clonal colony of approximately 47,000 quaking aspen trees in Utah that constitutes one of the largest living organisms on Earth.

Mean

A measure of central tendency calculated by dividing the sum of all values in a data set by the total number of values.

Frequency

The number of times a particular data value occurs within a given data set.

Pythagorean Theorem

A geometric theorem stating that for any right triangle, the sum of the squares of the lengths of the two legs equals the square of the length of the hypotenuse: $a^2 + b^2 = c^2$.

Inconsistent Linear System (No Solution)

A system of two linear equations whose graphs in the $xy$-plane are distinct parallel lines, having proportional coefficients for $x$ and $y$ but differing constant ratios.

$x$-intercept

The coordinate point $(x, 0)$ where a graph intersects or crosses the $x$-axis in the $xy$-plane, found by setting $y = 0$.

$y$-intercept

The coordinate point $(0, y)$ where a graph intersects or crosses the $y$-axis in the $xy$-plane, found by setting $x = 0$.

Zero Product Property

An algebraic rule stating that if the product of factors is zero, such that $a(b) = 0$, then at least one factor must equal zero ($a = 0$ or $b = 0$).

Standard Deviation

A statistical measure of the spread, variation, or dispersion of values in a data set relative to their mean.

Similar Triangles

Triangles that have congruent corresponding angles and whose corresponding side lengths are strictly proportional.

Discriminant

The algebraic expression $b^2 - 4ac$ from the quadratic equation $ax^2 + bx + c = 0$, which indicates that the equation has no real solutions when its value is negative ($b^2 - 4ac < 0$).

45-45-90 Triangle

An isosceles right triangle with two congruent legs where the length of the hypotenuse is equal to $\sqrt{2}$ times the length of either leg.