math act - kaplean pdf

0.0(0)
Studied by 0 people
call kaiCall Kai
learnLearn
examPractice Test
spaced repetitionSpaced Repetition
heart puzzleMatch
flashcardsFlashcards
GameKnowt Play
Card Sorting

1/24

encourage image

There's no tags or description

Looks like no tags are added yet.

Last updated 12:12 AM on 9/19/26
Name
Mastery
Learn
Test
Matching
Spaced
Call with Kai
Chat

No analytics yet

Send a link to your students to track their progress

25 Terms

1
New cards

What is the formula for an arithmetic sequence?

a_n = a_1 + c(n - 1)

<p>a_n = a_1 + c(n - 1)</p>
2
New cards

What is the formula for a geometric sequence?

a_n = a_1(c)^{n-1}

<p>a_n = a_1(c)^{n-1}</p>
3
New cards

What is the logarithm conversion formula?

log_{a}b = c, a^c = b$

4
New cards

What is the slope-intercept form of a line?

y = mx + b

5
New cards

What is the slope formula?

m = y_1 - y_2 / x_1 - x_2

6
New cards

What is the midpoint formula?

knowt flashcard image
7
New cards

What is the distance formula?

d=(y1−y2)2+(x1−x2)2d = \sqrt{(y_1 - y_2)^2 + (x_1 - x_2)^2}

<p>$d = \sqrt{(y_1 - y_2)^2 + (x_1 - x_2)^2}$</p>
8
New cards

What is the quadratic formula?

x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

<p>$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$</p>
9
New cards

What does the discriminant tell you?

b2−4acb^2 - 4ac tells you how many real solutions exist.

<p>$b^2 - 4ac$ tells you how many real solutions exist.</p>
10
New cards

What is the vertex form of a parabola?

y=a(x−h)2+ky = a(x - h)^2 + k

<p>$y = a(x - h)^2 + k$</p>
11
New cards

What is the standard equation of a circle?

(x−h)2+(y−k)2=r2(x - h)^2 + (y - k)^2 = r^2

12
New cards

What is the Pythagorean theorem?

a2+b2=c2a^2 + b^2 = c^2

13
New cards

What are the side ratios of a 45-45-90 triangle?

x:x:x2x : x : x\sqrt{2}

<p>$x : x : x\sqrt{2}$</p>
14
New cards

What are the side ratios of a 30-60-90 triangle?

x:x3:2xx : x\sqrt{3} : 2x

<p>$x : x\sqrt{3} : 2x$</p>
15
New cards

What is the sine function in terms of a right triangle?

$ rac{opposite}{hypotenuse}$

<p>$ rac{opposite}{hypotenuse}$</p>
16
New cards

What is the cosine function in terms of a right triangle?

$ rac{adjacent}{hypotenuse}$

<p>$ rac{adjacent}{hypotenuse}$</p>
17
New cards

What is the tangent function in terms of a right triangle?

$ rac{opposite}{adjacent}$

<p>$ rac{opposite}{adjacent}$</p>
18
New cards

What is the Pythagorean identity?

$ ext{sin}^2(x) + ext{cos}^2(x) = 1$

<p>$ ext{sin}^2(x) + ext{cos}^2(x) = 1$</p>
19
New cards

What is the formula for percent change?

$ rac{change}{original}$

<p>$ rac{change}{original}$</p>
20
New cards

What is the formula for average (mean)?

$ rac{sum ext{ of terms}}{number ext{ of terms}}$

<p>$ rac{sum ext{ of terms}}{number ext{ of terms}}$</p>
21
New cards

What is the formula for probability?

$ rac{desired ext{ outcomes}}{total ext{ outcomes}}$

<p>$ rac{desired ext{ outcomes}}{total ext{ outcomes}}$</p>
22
New cards

trig function rules

2pi/inside number = period

A or first number = amp

<p>2pi/inside number = period</p><p>A or first number = amp</p>
23
New cards

how to find certain digit in repeating deicimals

divide the digit place by amount of repeating deicimals , then the remainder is the amount you count to find number in the deicimals

24
New cards

how to find a number in a equation if you know a factor

a factor (x+5) makes the equation = 0, so just plug it in and solve

25
New cards

A task has several independent steps, each with a fixed number of choices. How to find number of ways it can turn out?

Multiply the number of choices for each step together.

total outcomes = (choices for step 1) × (choices for step 2) × ... × (choices for step n)