SAT Math Study Guide Notes - Fill in the Blank (Practice)

Flashcards in fill-in-the-blank style covering key SAT math concepts from the notes.

In the slope-intercept form y = mx + b, the symbol m represents the __.

slope

In y = mx + b, the y-intercept is the value of __.

b

A line with positive slope slopes __ on the graph.

upward

A line with negative slope slopes __ on the graph.

downward

A line with slope 0 is __.

horizontal

A line with undefined slope is __.

vertical

The notes give a slope formula m = (X2 - X1) / (Y2 - Y1); this is an __ version.

incorrect

Discriminant D for ax^2 + bx + c is defined as D = __.

b^2 - 4ac

If D < 0, there are __ roots.

two imaginary roots (conjugates)

If D > 0, there are __ roots.

two real roots

If D = 0, there’s __ real root (twice).

one real root

Vertex form: y = a(x - h)^2 + k; the vertex is at __.

(h, k)

To find 'a' in vertex form, you first find the vertex, then substitute h and k into the equation and solve for __.

a

Maximum and Minimum refer to the highest and lowest points of __.

y

Domain is all the values of __ for which f(x) is defined.

x

X-intercepts are values that make f(x) = __.

0

Y-intercepts lie on the __ axis when f(0) is evaluated.

y-axis

Difference of Squares: a^2 - b^2 = (a + b)(a - b). The difference of squares factors as __.

(a + b)(a - b)

Factoring by grouping example yields the factorization: __.

(x - 5)(2x^2 + 3)

Perfect Binomial Squared: (3x + 2y)^2 = __.

9x^2 + 12xy + 4y^2

Complex number form: i = __.

√−1

i^2 = __.

-1

Conjugate of a + bi is __.

a - bi

Absolute value solving steps: first isolate the __.

absolute value

Graphing form: y = a|x - h| + k; axis of symmetry is x = __.

h

Product Rule for exponents: am x an = a^().

m+n

Power rule: (a^m)^n = a^().

mn

Zero Rule: a^0 = __.

1