math 1 formulas study guide

Distributive property

• A(bx + c) = ab

• A(b+c) = ab + ac

• Ab(a+c) = ac

• b(a + c) = ab + ac

Standard form (linear)

• Ab + bc = y

• Ax + bc = c

• Ax + By = C

• By + Ax = C

Slope

• M= y2-y1/x2-x1

• M= x2-x1/y2-y1

• M= 2x + y2

• M= 2y + x1

Slope-Intercept form

• Y=my+b

• Y= ax + b

• Y= bx + a

• Y= mx + b

Direct Variation

• y= mx + k

• Y= kx (k=y)

• Y= kx (k=m)

• Y= km + x

perpendicular lines

• Opposite reciprocal slopes & y-intercept same or different

• Same slopes, different variables

• Opposite reciprocal, no slope

• Same reciprocal, different slopes

Parallel lines

• Different slope

• Same slope

• Different slope/same y-intercept

• Same slope/different y-intercepts

Exponential functions

• Y=ab^x, a ≠ 0, b>0, but b ≠ 1

• Y= ax^x b≠0 a>0 but b≠1

• Not typing allat

• Axis of symmetry

Exponential growth

• y= a(1-t)^r

• y= 1(r-t)

• y= a(1+r)^t

• y= a(1-r)^t

Exponential Decay

• y= a(t-r)^1

• y= (r+1)^t

• y= (t-1)^r

• y= a(1-r)^t