Prepare for your exams
Get points
Guidelines and tips
Sell on Docsity
Docsity AI

Prepare for your exams

Study with the several resources on Docsity

Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips

Sell on Docsity

Docsity AI

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search for your university

Find the specific documents for your university's exams

Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents

20 Points

For each uploaded document

Answer questions

5 Points

For each given answer (max 1 per day)

All the ways to get free points

Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

SAT Math Study Guide 2024: Essential Formulas, Sequences, Geometry, and Algebra, Exams of Mathematics

University of Liverpool Mathematics

This study guide covers essential math concepts for the SAT math exam in 2024. Topics include quadratic formula, slope formula, integers, rationals, reals, order of operations, arithmetic and geometric sequences, factors, multiples, percentages, averages, sums, modes, medians, counting principle, probability, exponents, roots, foil, distance formula, intersecting lines, triangle properties, circle properties, rectangle and parallelogram area, solid and cylinder volume, prime factors, GCF, LCM, equation of circle, trapezoid area, variation, slope-intercept form, point-slope form, standard form, inequalities, graphing on a coordinate plane, circle properties, and more.

Typology: Exams

2023/2024

Available from 05/09/2024

maryjayson 🇬🇧

3.5

(2)

1.2K documents

1 / 5

This page cannot be seen from the preview

Don't miss anything!

SAT Math Study Guide 2024

quadratic formula

✔ [-b ± √(b² - 4ac)] / (2a)

slope formula

✔ (y₂- y₁) / (x₂- x₁)

integers

✔ ..., -3, -2, -1, 0, 1, 2, 3, ...

rationals

✔ fractions (anything expessable as a ratio of integers)

reals

✔ integers, rationals, plus special #s (like √2 or pi)

order of opperations

✔ PEMDAS (Parentheses / Exponents / Multiply / Divide / Add / Subtract)

Arithmetic Sequences

✔ t₁, t₁+ d, t₁+2d, ...

Geometric Sequences

✔ t₁, t₁· r, t₁· r², ...

Factors

✔ ex. factors of 52 are 2, 4, 13, and 26

Multiples

✔ ex. multiples of 20 are 40, 60, 80, 100, ...

percentages

✔ part = (percent / 100) x whole

average

✔ average = sum of terms / number of terms

average speed

✔ average speed = total distance / total time

sum

✔ sum = average x (number of terms)

mode

Discover Exams of Mathematics University of Liverpool

Partial preview of the text

Download SAT Math Study Guide 2024: Essential Formulas, Sequences, Geometry, and Algebra and more Exams Mathematics in PDF only on Docsity!

SAT Math Study Guide 2024

quadratic formula ✔ [-b ± √(b² - 4ac)] / (2a) slope formula ✔ (y₂- y₁) / (x₂- x₁) integers ✔ ..., -3, -2, -1, 0, 1, 2, 3, ... rationals ✔ fractions (anything expessable as a ratio of integers) reals ✔ integers, rationals, plus special #s (like √2 or pi) order of opperations ✔ PEMDAS (Parentheses / Exponents / Multiply / Divide / Add / Subtract) Arithmetic Sequences ✔ t₁, t₁+ d, t₁+2d, ... Geometric Sequences ✔ t₁, t₁· r, t₁· r², ... Factors ✔ ex. factors of 52 are 2, 4, 13, and 26 Multiples ✔ ex. multiples of 20 are 40, 60, 80, 100, ... percentages ✔ part = (percent / 100) x whole average ✔ average = sum of terms / number of terms average speed ✔ average speed = total distance / total time sum ✔ sum = average x (number of terms) mode

✔ mode = value in the list that appears most often median ✔ median = middle value in the list fundamental counting principle ✔ if an event can happen in N ways, and another, independent event can happen in M ways, then both events together can happen in N x M ways. probability ✔ probability = number of desired outcomes / number of total outcomes adding exponents ✔ x^a · x^b = x^(a+b) subtracting exponents ✔ x^a / x^b = x^(a-b) negative exponents ✔ 1 / x^b = x^(-b) multiplying exponents ✔ (x^a)^b = x^(a·b) x^ ✔ 1 roots ✔ √(xy) = √x · √y FOIL ✔ (x+a)(x+b) = x^2 + (b+a)x + ab difference of squares ✔ a^2 -b^2 = (a+b)(a-b) a^2 + 2ab + b^ ✔ (a+b)^ a^2 - 2ab + b^ ✔ (a-b)(a-b) distance formula ✔ √[(x₂- x₁)^2 + (y₂- y₁)^2)] mid-point formula

✔ volume = lwh right cylinder volume ✔ volume = pi · r^2 · h prime factors ✔ 2, 3, 5, 7, 11, ... Greatest Common Factor ✔ ex. GCF of 200 and 60 is 20 Least Common Multiple ✔ ex. LCM of 200 and 60 is 600 equation of circle ✔ with midpoint (h,k) ... (x - h)^2 + (y - k)^2 = r^ trapezoid area ✔ area = [(base1 + base2) / 2] · h Direct Variation ✔ y=kx Inverse Variation ✔ y=k/x Slope intercept form ✔ y=mx+b Point-Slope form ✔ y - y₁= m(x - x₁) standard form ✔ Ax + By=C, where A, B, and C are not decimals or fractions, where A and B are not both zero, and where A is not a negative Dividing by a negative number in an inequality ✔ You must flip the sign Graphing < or > on a coordinate plane ✔ dotted line Graphing ≥ or ≤ on a coordinate plane ✔ solid line Graphing ≥ or > on a coordinate plane

✔ shade upwards or to the right Graphing ≤ or < on a coordinate plane ✔ shade downwards or to the left circle perimeter ✔ 2 pi r Chord ✔ The distance from one point on the circle to another point on the circle. Sector ✔ The part of a circle that looks like a piece of pie. A sector is bounded by 2 radii and an arc of the circle. arc ✔ Part of a circle connecting two points on the circle. Central Angle ✔ An angle whose vertex is the center of the circle

SAT Math Study Guide 2024: Essential Formulas, Sequences, Geometry, and Algebra, Exams of Mathematics

Related documents

Partial preview of the text

Download SAT Math Study Guide 2024: Essential Formulas, Sequences, Geometry, and Algebra and more Exams Mathematics in PDF only on Docsity!

SAT Math Study Guide 2024