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A comprehensive review of essential formulas and concepts in algebra, trigonometry, and geometry for the act math test. Topics covered include the quadratic formula, slope, slope-intercept form, direct and inverse variation, functions, linear equations, graphing, systems of equations, absolute value equations, translations, areas and perimeters of various shapes, and properties of circles. This resource is ideal for students preparing for the act math test, offering a valuable study guide, summary, and exam preparation tool.
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Quadratic Formula - Correct Answer ✅-b±[√b²-4ac]/2a Slope - Correct Answer ✅(y₂-y₁)/(x₂-x₁) Slope-Intercept - Correct Answer ✅y=mx+b a³-b³ - Correct Answer ✅(a-b)(a²+ab+b²) a³+b³ - Correct Answer ✅(a+b)(a²-ab+b²) a²-b² - Correct Answer ✅(a-b)(a+b) a²-2ab+b² - Correct Answer ✅(a-b)² a²+2ab+b² - Correct Answer ✅(a+b)² (a+b)(c+d) - Correct Answer ✅ac+ad+bc+bd
a(b+c) - Correct Answer ✅ab+ac sine ratio - Correct Answer ✅opposite ÷ hypotenuse cosine ratio - Correct Answer ✅adjacent ÷ hypotenuse tangent ratio - Correct Answer ✅opposite ÷ adjacent A function is ___________ a relation - Correct Answer ✅always Direct Variation - Correct Answer ✅y=kx Inverse Variation - Correct Answer ✅y=k/x Slope intercept form - Correct Answer ✅y=mx+b Point-Slope form - Correct Answer ✅y-y₁=m(x-x₁)
Graphing ≤ or < on a coordinate plane - Correct Answer ✅shade downwards or to the left Infinitely many solutions - Correct Answer ✅when the system of equations have the same slope and y-intercept One solution - Correct Answer ✅when the system of equations have different slopes No solution - Correct Answer ✅when the system of equations have the same slope but different y-intercepts All direct variations are ____________________ - Correct Answer ✅linear functions A linear function is a function that _____________ a line - Correct Answer ✅graphs A parent function is the simplest ____________ of a function - Correct Answer ✅equation
Linear parent function - Correct Answer ✅y=x or f(x)=x Elimination method - Correct Answer ✅solving systems by adding or subtracting equations to eliminate a variable Solution of the system of linear equations - Correct Answer ✅Any ordered pair in a system that makes all the equations true Graphing method - Correct Answer ✅Graphing the system of equations and finding the point at which they intersect Substitution method - Correct Answer ✅Replacing one variable with an equivalent expression containing the other variable Absolute value equation - Correct Answer ✅A V-shaped graph that points upward of downward
Area of rectangle, square, parallelogram - Correct Answer ✅A=bh Circumference of a circle - Correct Answer ✅∏d OR 2∏r Area of a sector - Correct Answer ✅x°/360 times (∏r²), where x is the degrees in the angle length of a sector - Correct Answer ✅x°/360 times (2 pi r), where x is the degrees in the angle Circle - Correct Answer ✅Is the set of points which are all the same distance (its radius) from a certian point( the center). Radius (Radii) - Correct Answer ✅A segment connecting the center of a circle to any point on the circle Diameter - Correct Answer ✅The distance across the circle through the center of the circle.The diameter is twice the radius.
Chord - Correct Answer ✅The distance from one point on the circle to another point on the circle. Sector - Correct Answer ✅The part of a circle that looks like a piece of pie. A sector is bounded by 2 radii and an arc of the circle. Arc - Correct Answer ✅Part of a circle connecting two points on the circle. Central Angle - Correct Answer ✅An ange whose vertex is the center of the circle Circumference Formula - Correct Answer ✅C =∏d Area of Circles - Correct Answer ✅A=∏r
