Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community for help and clear up your study doubts
Discover the best universities in your country according to Docsity users
Free resources
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
Adding with same denominator (a/b)+c/b)=((a+c)/b) Subtracting with same denominator (a/b)-(c/b)=((a-c)/b) Adding with different denominator (a/b)+(c/d)=((ad)+(cb))/bd Subtracting with different denominator (a/b)-(c/d)=((ad)-(cb))/bd Multiplying Factors (a/b)(c/d)=(ac)/(b*d) Dividing Factors (a/b)/(c/d)=(ad)/(bc) Factoring numbers a(c/d)= a+(c/d)= (ad+c)/d Intergers {...,−3,−2,−1,0,1,2,3,...}
Typology: Exams
1 / 8
This page cannot be seen from the preview
Don't miss anything!
Adding with same denominator (a/b)+c/b)=((a+c)/b) Subtracting with same denominator (a/b)-(c/b)=((a-c)/b) Adding with different denominator (a/b)+(c/d)=((ad)+(cb))/bd Subtracting with different denominator (a/b)-(c/d)=((ad)-(cb))/bd Multiplying Factors (a/b)(c/d)=(ac)/(b*d) Dividing Factors (a/b)/(c/d)=(ad)/(bc) Factoring numbers a(c/d)= a+(c/d)= (ad+c)/d Intergers {...,−3,−2,−1,0,1,2,3,...}
Real Numbers All numbers that are on number line. Integers plus fractions, decimals, and irrationals PEMDAS Parentheses, Exponents, Multiplication, Division, Addition, Subtraction Percentages part = (percent / 100) x whole percent of change ((New value - old value)/old value) X 100 Distance from A to B √(x2 − x1)^2 + (y2 − y1)^ Parallel and Perpendicular lines Parallel lines have equal slopes. Perpendicular lines (i.e., those that make a 90 ∘90° angle where they intersect) have negative reciprocal slopes: 𝑚 1 m .𝑚2=−1m2=−1.Parallel Lines (l ∥∥ m) Mid-point of the segment AB M (𝑥1+𝑥2/2),(𝑦1+𝑦2/2) Slope of the line (𝑦 2 −𝑦1)/(𝑥 2 - 𝑥1)=𝑟𝑖𝑠𝑒/𝑟𝑢𝑛
Area of a triangles A=1/2bh The angles inside a triangle add up to? 180 degrees equilateral triangle These triangles have three equal sides, and all three angles are 60 ∘ Isosceles An isosceles triangle has two equal sides. The "base" angles (the ones opposite the two sides) are equal (see the 45∘ triangle above). Area of a Circle A=π𝑟 2 Circumference of a Circle C =2π𝑟 The angles of a circle adds up too? 360 Area of a rectangle A=lw Area of a Parallelogram A=bh
A=l*w Angle of a parallelogram Regular polygons are n-sided figures with all sides equal and all angles equal. The sum of the inside angles of an n-sided regular polygon is(𝑛−2).180∘ Area of a trapezoid: A=1/2h(b1+b2) Volume of a rectangular/right prism V=bh Surface value of a rectangular/ right prism 𝑆𝐴=𝑝ℎ+2𝐵SA=ph+2B Surface Area of a cylinder: SA=2πrh+2πr² Volume of a cylinder V=πr²h Surface Area of a Cone SA=πrt+πr² Volume of a Cone V=1/3πr²h Surface Area of a Sphere
Middle value in the list (which must be sorted) Example: median of{3,10,9,27,50}=10{3,10,9,27,50}= Example: median of{3,9,10,27}=(9+10)/2=9. Average 𝑠𝑢𝑚 𝑜𝑓 𝑡𝑒𝑟𝑚𝑠/𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑒𝑟𝑚𝑠 Average speed 𝑡𝑜𝑡𝑎𝑙 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒/𝑡𝑜𝑡𝑎𝑙 𝑡𝑖𝑚𝑒 Probability 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑑𝑒𝑠𝑖𝑟𝑒𝑑 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠/ 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑜𝑡𝑎𝑙 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠 Simple Interest The charge for borrowing money or the return for lending it.Interest = principal × rate × time (𝐼=prt) Multiplying Two Powers of the SAME Base When the bases are the same, you find the new power by just adding the exponents (𝑥^𝑎*𝑥^𝑏=𝑥^(𝑎+𝑏)) Powers of Powers
For power of a power: you multiply the exponents.(𝑥^𝑎)^𝑏=𝑥^(𝑎𝑏) Dividing Powers 𝑥^𝑎/𝑥^𝑏=𝑥^𝑎^(𝑥−𝑏)=𝑥^(𝑎−𝑏) The Zero Exponent Anything to the 0 power is 1. 𝑥^0= 1
