ACT Math Formulas(Math formulas for problems found on the SAT and ACT. While the SAT lists many of the formulas at the beginning of each math test, the ACT does not. And, you will save time if you memorize these.)

ACT Math Formulas(Math formulas for problems found on the SAT and ACT. While the SAT lists many of the formulas at the beginning of each math test, the ACT does not. And, you will save time if you memorize these.) Distance Formula Correct Answer: d=√(x₁-x₂)² + (y₁-y₂)² (EX: Find distance between (5,6) and (1,3) √(5-1)² + (6-3)²= √(4)² + (3)²= √16 + 9= √25= 5=Distance Slope Correct Answer: Slope= Rise/Run=Change in Y/Change in X (y₂-y₁/x₁-x₂) (EX: Find slope of (5,6) and (1,3) 6-3/5-(-1)= 3/6= 1/2 Slope Intercept Correct Answer: y=mx+b Ex: y=2/3x + 5 Midpoint Formula Correct Answer: (x₁+x₂)/2, (y₁+y₂)/2 PEDMAS Correct Answer: Parenthesis, Exponents, Multiplication, Division, Add, Subtract. EX: 9-2 x (5-3)² + 6÷3= 9-2 x (2)² + 6÷3= 9-2 x (4) +6÷3= 9-8 +2= 9-6= 3 Quadratic Equation Correct Answer: ax²+bx+c= 0 EX: x²+ 9x+ 18=0 Quadratic Formula Correct Answer: ²x = −b ± √b²-4ac/2a EX: Solve using quadratic formula x²+ 9x+ 18=0: x= −9±√(9)² − 4(1)(18)/2(1) −9 ± √81 − 72/2 −9 ± √9/2 −9 ± √3/2 = -9 + 3/2 and -9 -3/2 -9+3/2= -3 and -9-3/2= -6 Percent Formula Correct Answer: Part=Percent x Whole Multiply Power Exponents Correct Answer: add exponents and keep the same base EX: X₃ • X₂ = X₅ Dividing Power Exponents Correct Answer: subtract exponents and keep same base EX: X₄ ÷ X₂ = X₂ Raising Power to Powers Correct Answer: multiply the exponents EX: X² • X³ = X⁶ Negative Exponent Correct Answer: X⁻ⁿ = 1/Xⁿ Rational Exponent Correct Answer: ⁿ√x Absolute Value Correct Answer: |-3| = 3 FOIL Correct Answer: First, Outside, Inside and Last. EX: (x-3) + (x+5) = x² + 5x -3x -15= x² + 2x-15 Factoring Difference of squares Correct Answer: a²-b² = (a-b) (a+b) Area of a Triangle Correct Answer: area= ½ (base)(height)