Summary ACT Math Formulas Complete Solutions
Verified
Quadratic Formula
-b±[√b²-4ac]/2a
Slope
(y₂-y₁)/(x₂-x₁)
Slope-Intercept
y=mx+b
a³-b³
(a-b)(a²+ab+b²)
a³+b³
(a+b)(a²-ab+b²)
a²-b²
(a-b)(a+b)
a²-2ab+b²
(a-b)²
a²+2ab+b²
(a+b)²
(a+b)(c+d)
ac+ad+bc+bd
a(b+c)
ab+ac
sine ratio
opposite ÷ hypotenuse
cosine ratio
adjacent ÷ hypotenuse
tangent ratio
opposite ÷ adjacent
A function is ___________ a relation
always
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
Undefined
When there is a vertical line that has different y points, but the same x point
Zero
Verified
Quadratic Formula
-b±[√b²-4ac]/2a
Slope
(y₂-y₁)/(x₂-x₁)
Slope-Intercept
y=mx+b
a³-b³
(a-b)(a²+ab+b²)
a³+b³
(a+b)(a²-ab+b²)
a²-b²
(a-b)(a+b)
a²-2ab+b²
(a-b)²
a²+2ab+b²
(a+b)²
(a+b)(c+d)
ac+ad+bc+bd
a(b+c)
ab+ac
sine ratio
opposite ÷ hypotenuse
cosine ratio
adjacent ÷ hypotenuse
tangent ratio
opposite ÷ adjacent
A function is ___________ a relation
always
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
Undefined
When there is a vertical line that has different y points, but the same x point
Zero
