SAT Math

Question 1

Slope of a Line

Answer 1

y1 - y2 / x1 - x2

Question 2

Slope-Intercept Form

Answer 2

y = mx + b

Question 3

Point-Slope Form

Answer 3

y - y1 = m(x-x1)

Question 4

Midpoint Formula

Answer 4

(Average of x, Average of y)

Question 5

Distance Formula

Answer 5

Sqrt((x1-x2)^2) + (y1-y2)^2)

Question 6

Length of an Arc

Answer 6

(n/360)*2πr

Question 7

Area of a Sector

Answer 7

(n/360)*πr^2

Question 8

Quadratic Formula

Answer 8

[-b +/- sqrt(b^2 - 4ac)]/2a

Question 9

Probability

Answer 9

Number of Favorable Outcomes/Total Number of Outcomes

Question 10

Circle Equation

Answer 10

(x - h)^2 + (y - k)^2 = r^2

Question 11

Exponential Growth/Decay

Answer 11

y = a(1 +/- r)^t

Question 12

Vertex of a Parabola

Answer 12

-b/2a for x
substitute in equation to find y

Question 13

Vertex Form

Answer 13

a(x - h)^2 + k
(h,k) -> vertex

Question 14

Pythagorean Theorem

Answer 14

a^2 + b^2 = c^2

Question 15

Distance, rate, time

Answer 15

d = rt

Question 16

Sine and Cosine

Answer 16

sin(x) = cos(90 - x)

Question 17

Sum of Solutions

Answer 17

0 = ax^2 + bx + c
-b/a is the sum of solutions

Question 18

The Discriminant

Answer 18

b^2 - 4ac
negative = no real solutions
0 = one real solution
Positive = two real solutions

Question 19

Area of an Equilateral Triangle

Answer 19

s = side
s^2 * sqrt(3) / 4

Question 20

Pythagorean Triples

Answer 20

3, 4, 5
5, 12, 13
7, 24, 25
8, 15, 17

Question 21

Perpendicular slope

Answer 21

Opposite reciprocal

Question 22

Sum of Angles

Answer 22

(n - 2)180

Question 23

x^a/b

Answer 23

b sqrt(x^a)

Question 24

Copy and Paste method for inequalities

Answer 24

|x + 6| < 3
-3 < x + 6 < 3
-9 < x < -3

Question 25

Complex number with big exponent

Answer 25

Divide by four and the remainder is the number to work with

Question 26

Getting rid of a single term i on the bottom

Answer 26

Multiply fraction by i/i

Question 27

1/(1/x+2)+(1/x+3)

Answer 27

Remember what reciprocals looks like

Question 28

8^x/2^x

Answer 28

2^3x/2x then subtract exponents

Question 29

20% more
20% less

Answer 29

1.2
0.8

Question 30

Square roots will always have

Answer 30

Two solutions, + & -

Question 31

2x - 3y = -14
3x - 2y = -6

Answer 31

multiply the first by 3 and the second by 2

Question 32

y = a(x-2)(x+4)

Answer 32

(2,0) and (-4,0) are equidistant to the vertex

Question 33

24x^2 + 25x - 47/ax - 2 = -8x - 3 - 53/ax-2

Answer 33

This is a long division with a remainder of 53/ax-2

(ax-2)*(-8x-3) - 53 = 24x^2 +…

Question 34

Passes through the origin means

Answer 34

(0,0) can be used to find the slope

Question 35

Always look for what?

Answer 35

Patterns. They usually mean cancel something out

Question 36

360 degrees =

Answer 36

2pi
remember, radians are like a different notation of normal degrees

Question 37

i^0
i
i^2
i^3
i^4

Answer 37

1
i
-1
-i
1

Question 38

2x^2− 6x + 2y^2+ 2y = 45

Answer 38

Divide everything by 2
Then complete the square

Question 39

If a gridded answer has a range

Answer 39

Answer with a whole number to be safe

Question 40

x^-2 y^1/2 /x^1/3 y^-1

Answer 40

ysqrty/x^2 3sqrt(x)

Question 41

Percent increase
5600 -> 5800
Decrease

Answer 41

(5800 - 5600)/5600 = 0.05 or 5%

Decrease is the (initial - final)/Initial

Question 42

Don’t mix up adjacent with

Answer 42

hypotenuse

Question 43

Matching rule

Answer 43

X Y # solutions
y y y infinite
y y n zero
y n y one
n y y one
n n n one

Question 44

Congruency

Answer 44

SAS. ASA. AAS, SSS

Question 45

Is a parabola opens up

Answer 45

The a value is positive

Question 46

PLEASE FOR THE LIFE OF GOD

Answer 46

Read the question thoroughly

Question 47

The middle line in a box plot is the

Answer 47

median

Question 49

FREQUENCY ALWAYS MEANS

Answer 49

OCCURENCE