# ACT MATH CARDS

## 56 terms

-b±[√b²-4ac]/2a

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### Slope

(y₂-y₁)/(x₂-x₁) = m

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y=mx+b

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(a-b)(a+b)

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(a-b)²

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(a+b)²

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ab+ac

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### sine ratio

opposite ÷ hypotenuse

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### Function

f(x) is a set of ordered pairs (x,y) where NO two of the ordered pairs have the same x value

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y=kx

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y=k/x

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y=mx+b

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y-y₁=m(x-x₁)

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### 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

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### Undefined (slope)

When there is a vertical line that has different y points, but the same x point

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### Zero (slope)

When there is a horizontal line that has different x points, but the same y point

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### If you multiply or divide both sides of an inequality by a negative number

Reverse the direction of the inequality sign - flip the inequlity sign!

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dotted line

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solid line

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### Graphing ≥ or > on a coordinate plane

shade upwards or to the right

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### Graphing ≤ or < on a coordinate plane

shade downwards or to the left

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### Substitution method

Putting numbers in place of variables in an equation.

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### Absolute value equation

A V-shaped graph that points upward or downward

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### Translation

A shift of a graph horizontally, vertically, or both, which results in a graph of the same shape and size, but in a different position.

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Πr²

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### Area of a square

s², where s = length of a side

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### Area of a triangle

½(base x height) [or (base x height)÷2]

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### Area of a trapezoid

½(b₁ +b₂) x h [or (b₁ +b₂) x h÷2]

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### Perimeter of a rectangle

2Length + 2width [or (length + width) x 2]

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### Perimeter of a square

4s (where s = length of a side)

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### Area of rectangle, square, parallelogram

A = lw or (length x width)

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### Circumference (perimeter) of a circle

C = ∏d OR C = 2∏r

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### Circle

Is the set of points which are all the same distance (its radius) from a certian point( the center).

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A segment connecting the center of a circle to any point on the circle (= r)

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### Diameter

The distance across the circle through the center of the circle.The diameter is twice the radius.

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### Tangent

a LINE that touches the circle at EXACTLY ONE POINT

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### Central Angle

An angle whose vertex is the center of the circle

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### Percentage Formula

Y% of X = Y/100 x X
ex: What % of 120 is 10 or 10 = Y/100 x 120

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### VOLUME of PRISM (cube etc.)

V = lwh or (length x width x height)

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V = ∏r²h

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### Perimeter

Distance around any object

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### Pythagorean Theorem

c² = a² + b² where c is the hypotenuse of the triangle and a and b are 2 sides of the triangle

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### Equilateral Triangle

3 sides have the same length

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### Isosceles Triangle

2 sides have the same length

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360 degrees

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180 degrees

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### Ratio

comparison between 2 quantities such 1/4 or 1:4

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### Proportion

equation with TWO RATIOS
1/4 = x/8 or 1:4 = x:8

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### Mean

Average of a list of numbers or values (divide the sum by the number of values)

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### Median

middle value (number) of a list

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### Mode

the value (number) that appears most often

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### Scientific Notation

Example: 320 = 3.2 x 10²
Decimal point placed after the first digit followed by 10 to a power

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### Absolute Value

the number value such as |-4| = 4 = |4|

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