Mathematics 1 Reference Sheet

Sep 14, 2026

Mathematics 1 reference sheet for quick review of core algebra, coordinate geometry, and geometry formulas. Includes standard, slope-intercept, and point-slope equation forms, slope definitions, and quadratic essentials such as the general quadratic formula. Covers coordinate geometry topics including midpoint and distance, polygon and solid area/volume/surface-area relationships (e.g., prisms, cylinders, pyramids, cones, spheres), circle center-radius forms and sector area concepts. Also summarizes interior angles, trigonometric ratios, Pythagorean theorem, sequences and series formulas, and direct/indirect variation and key distance-rate-time and interest equations.

LanguageEnglish

CategoryExam

FormatPDF

Pages4

Reading Time10 min

AccessFree to download

# ACTInternationalSubject Tests Mathematics 1 Reference Sheet | Lines | | | | --- | --- | --- | | Standard Form | Ax+By=C | A,B,and C are constants,
where A≠0 or B≠0. | | Slope-Intercept Form | y=mx+b | m=slope | | Point-Slope Form | y-y₁=m(x-x₁) | b=y-intercept | | Slope | | (x₁,y₁)and(x₂,y₂)are
2 points. | | Quadratics | | | | General Form
Quadratic Formula | ax²+bx+C=0 | a,b,and c are constants,
where a≠0. | | Coordinate Geometry | | | | Midpoint | | (x₁,y₁)and(x₂,y₂)are
2 points. | | Distance | √(x₂-x,)²+(y₂-y₁)² | | Area,Volume,and Surface Area of Polygons and Solids TriangleA=areab=baseParallelogramA=bh h=heightTrapezoid a=apothemRegular Polygonp=perimeterV=volumePrismV=Bh B=area of baseRight PrismSA=2B+Ph SA=surface areaV=πr²hCircular Cylinder P=perimeter of baseSA=2πr²+2πrhRight Circular Cylinder r=radiusPyramidS=slant heightπ≈3.14Right PyramidCircular ConeSA=πr²+πrsRight Circular ConeSphere SA=4πr²Interior Angles of PolygonsDegree Measure inn=number of sidesa Regular Polygon Sum of Degree Measuresin a Polygon 180(n-2) Circles Center-Radius Form(x-h)²+(y-k)²=r²center(h,k)r=radiusA=πr²AreaA=areaC=πd=2πrCircumference C=circumferenceArea of Sector d=diameter θ=degree measure ofcentral angleπ≈3.14Right Trianglesa²+b²=c²Pythagorean TheoremTrigonometric RatiosSequence and SeriesArithmetic Sequencen=term numberan=a₁+(n-1)dan=nth termArithmetic Series d=common differencesn=sum of the first n terms Interest l= interest 1= prt Simple Interest p= principal Compound Interest r= annual interest rate t=time in years A= amount of money after t years n= compound periods per year Miscellaneous D=distance Distance, Rate, Time D=rt r= rate y=kx Direct Variation (y varies directly with x) t= time Indirect Variation k= variation constant (y varies indirectly with x) Key to Symbols △ABC…………………………………………triangleABC ∠ABC……………………………………angleABC m∠ABC……………………………………degreemeasureof∠ABC AB………………………………………………lineAB AB………………………………………………linesegmentAB AB ………………………………………………lengthofAB Circle O………………………………………circlewithcenterpointO AB…………………………………………arcAB ⊥ ……………………………………………………isperpendicularto …………………………………………………………isparallelto 兰………………………………………iscongruentto ~………………………………………………………………issimilarto ≈………………………………………………………isapproximatelyequalto

FAQs

What are the main equation forms included in the Mathematics 1 reference sheet?

It lists standard form Ax+By=C, slope-intercept form y=mx+b, and point-slope form y-y₁=m(x-x₁).

Which geometry formulas are provided for polygons and solids?

It includes area relationships for regular polygons and formulas for volume and surface area of prisms, cylinders, pyramids, cones, and spheres.

What finance and variation formulas appear in the reference sheet?

It includes simple and compound interest formulas, along with direct variation (y=kx) and indirect variation (y=k/x) expressions.

Sep 14, 2026

Uploaded by Ava Thompson