# ACT Math

##### SETS

Slope Formula

What is the slope of the straight line…

Slope-Intercept Formula

Line

The steepness of a graph line; the ratio of the vertical chang…

4-5/6- -2= -1/8, this graph will rise 1, and go left 8.

Ex: y= -4/5 - 7. The graph will go up 4, and to the left 5, an…

A straight path of points that extends forever in two directio…

Slope Formula

The steepness of a graph line; the ratio of the vertical chang…

What is the slope of the straight line…

4-5/6- -2= -1/8, this graph will rise 1, and go left 8.

slope formula

slope-intercept form

Area of a rectangle

Area of a triangle

(y2-y1)/(x2-x1) think: rise/run

y=mx+b, where m is the slope and b is the y-intercept of the l…

A=bh

A= 1/2 b * h

slope formula

(y2-y1)/(x2-x1) think: rise/run

slope-intercept form

y=mx+b, where m is the slope and b is the y-intercept of the l…

Distance Formula

Midpoint Formula

Slope Formula

the same slope

√(y₂-y₁)² + (x₂-x₁)²

((x₂+x₁)/2), ((y₂+y₁)/2)

(Y₂−Y₁)÷(X₂−X₁)

Parallel Lines have

Distance Formula

√(y₂-y₁)² + (x₂-x₁)²

Midpoint Formula

((x₂+x₁)/2), ((y₂+y₁)/2)

Area of a Triangle

Area of a Circle

Circumference of Circle

Perimeter of a Square

A = (1/2)(b)(h)

P = 4(s)

Area of a Triangle

A = (1/2)(b)(h)

Area of a Circle

Integer

rational number

factor

order of operations

positive or negative whole number

any number that can be expressed as a fraction

an integer that can be multiplied by another integer to get th…

PEMDAS - Parenthesis, exponents, multiplication, division, add…

Integer

positive or negative whole number

rational number

any number that can be expressed as a fraction

Test Info

Topics

General Strategies

Forwards Approach

60 Minutes, Questions are ordered easy to difficult, TIP focus…

Properties and real numbers, algebra, statistics, plane and co…

1) Break it down- find goal and relevant info... 2) Categorize th…

Underline given, circle goal, categorize the question, pick a…

Test Info

60 Minutes, Questions are ordered easy to difficult, TIP focus…

Topics

Properties and real numbers, algebra, statistics, plane and co…

How many ounces in a cup?... How many cups…

Area of a triangle

Side lengths of 30-60-90 triangle

Midpoint formula

8 ounces in a cup... 2 cups in 1 pint... 16 ounces in a pint... 2 pints…

Area of a triangle = 1/2 x b x h ... (1/2)(base x height)... one-hal…

Length of sides:... a... a √3 ... 2a

Midpoint formula at Purple Math: http://www.purplemath.com/mod…

How many ounces in a cup?... How many cups…

8 ounces in a cup... 2 cups in 1 pint... 16 ounces in a pint... 2 pints…

Area of a triangle

Area of a triangle = 1/2 x b x h ... (1/2)(base x height)... one-hal…

Consecutive numbers

Factor

Multiple

Greatest common factor

Numbers which follow each other in order, without gaps, from s…

Factors are numbers we can multiply together to get another nu…

A number that can be divided by another number without a remai…

The highest number that divides exactly into two or more numbe…

Consecutive numbers

Numbers which follow each other in order, without gaps, from s…

Factor

Factors are numbers we can multiply together to get another nu…

Integer

Factor

Prime number

Arithmetic Sequence

All positive and negative whole numbers (and zero)

A number that divides evenly into another integer, including 1…

A number with only two distinct factors: 1 and itself

A sequence formed by adding the same number each time

Integer

All positive and negative whole numbers (and zero)

Factor

A number that divides evenly into another integer, including 1…

Integer

Rational

Real

Multiples

-3.-2.-1.0.1.2.3

Fraction

Integers plus rationals plus special numbers such as radical 2…

20 is 20,40,60,80

Integer

-3.-2.-1.0.1.2.3

Rational

Fraction

Area of a Triangle

Perimeter of a Square

Area of a Trapazoid

Area of a Rectangle

A = (1/2)(b)(h)

P = 4(s)

a and b are the two bases

A = (l)(w)

Area of a Triangle

A = (1/2)(b)(h)

Perimeter of a Square

P = 4(s)

Slope Formula

What is the slope of the straight line…

Slope-Intercept Formula

Line

The steepness of a graph line; the ratio of the vertical chang…

4-5/6- -2= -1/8, this graph will rise 1, and go left 8.

Ex: y= -4/5 - 7. The graph will go up 4, and to the left 5, an…

A straight path of points that extends forever in two directio…

Slope Formula

The steepness of a graph line; the ratio of the vertical chang…

What is the slope of the straight line…

4-5/6- -2= -1/8, this graph will rise 1, and go left 8.

Area of a Triangle

Perimeter of a Square

Area of a Trapazoid

Area of a Rectangle

A = (1/2)(b)(h)

P = 4(s)

a and b are the two bases

A = (l)(w)

Area of a Triangle

A = (1/2)(b)(h)

Perimeter of a Square

P = 4(s)

How many degrees in a circle?

How many degrees in a half circle?

Ratio

Proportion

360 degrees

180 degrees

An equation stating that two ratios are equal. Cross multiply…

How many degrees in a circle?

360 degrees

How many degrees in a half circle?

180 degrees

Vertical Angles

Supplementary Angles

Right Angle

Complimentary Angles

Formed by 2 intersecting lines or segments. Always congruent.

Two angles that form a line and add up to 180°.

An angle that measures 90°.

Two angles that add up to 90°.

Vertical Angles

Formed by 2 intersecting lines or segments. Always congruent.

Supplementary Angles

Two angles that form a line and add up to 180°.

(A) Getting started stuff

(B) What are the steps for answering an…

(B) Which of these are even?... -5 ... -4 ... 0…

(B) arsenal of strategies

If I assigned certain cards ("study the Bs, Cs, and Ds" or som…

1. look at the end and underline what the question is asking... 2…

-4... 0... 2... 3,146

1. use answer choices... 2. plug in your own numbers... 3. guess and…

(A) Getting started stuff

If I assigned certain cards ("study the Bs, Cs, and Ds" or som…

(B) What are the steps for answering an…

1. look at the end and underline what the question is asking... 2…

Area of a Triangle

Perimeter of a Square

Area of a Trapazoid

Area of a Rectangle

A = (1/2)(b)(h)

P = 4(s)

a and b are the two bases

A = (l)(w)

Area of a Triangle

A = (1/2)(b)(h)

Perimeter of a Square

P = 4(s)

Area of a Triangle

Perimeter of a Square

Area of a Trapazoid

Area of a Rectangle

A = (1/2)(b)(h)

P = 4(s)

a and b are the two bases

A = (l)(w)

Area of a Triangle

A = (1/2)(b)(h)

Perimeter of a Square

P = 4(s)

Percent formula

Order of operations

Greatest Common Factor (GCF)

Least Common Multiple (LCM)

Is/of=percent/100

Parentheses, Exponents, Multiplication and Division from left…

The greatest number that divides into both numbers

Smallest number that both numbers divide evenly into

Percent formula

Is/of=percent/100

Order of operations

Parentheses, Exponents, Multiplication and Division from left…

bh

bh

(B + b)h / 2

pi x radius^2

area of a parallelogram

area of a rhombus

area of a trapezoid

area of a circle

bh

area of a parallelogram

bh

area of a rhombus

Prime numbers are

Factors

The prime factors of a number

Prime Factorization

Integers that are only divisible by 1 and the integer itself.…

Numbers that are multiplied together to get a product

are the factors broken down into prime numbers

Breaking down a composite number until all of the factors are…

Prime numbers are

Integers that are only divisible by 1 and the integer itself.…

Factors

Numbers that are multiplied together to get a product

(A) Which of these are even?... -5 ... -4 ... 0…

(A) smallest prime number

(A) What does "a set of distinct number…

(A) Give three multiples of 12

-4... 0... 2... 3,146

2

all different numbers, no repeats

24, 36, 48, etc (multiply 12 by integers)

(A) Which of these are even?... -5 ... -4 ... 0…

-4... 0... 2... 3,146

(A) smallest prime number

2

Area of a Triangle

Area of a Circle

Circumference of Circle

Area of a Square

A = (1/2)(b)(h)

Area of a Triangle

A = (1/2)(b)(h)

Area of a Circle

slope

Area of a rectangle

Area of a triangle

Area of a circle

(rise/run)

A=bh

A=1/2bh

A=πr²

slope

(rise/run)

Area of a rectangle

A=bh

Area of a Triangle

Perimeter of a Square

Area of a Trapazoid

Area of a Rectangle

A = (1/2)(b)(h)

P = 4(s)

a and b are the two bases

A = (l)(w)

Area of a Triangle

A = (1/2)(b)(h)

Perimeter of a Square

P = 4(s)