Math Placement Test Questions with complete solutions |Latest 2024/2025

Math Placement Test Questions with _’- _’- _’-_’- _’- _’-




complete solutions. _’-




Area and Similar Figures
_’- In two similar triangles, the ratio of their areas
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is the square of the ratio of their sides.
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Trigonometry Identities _’- _’-_’- _’- sin²(t) + cos²(t) = 1 _’- _’- _’- _’-




Functional Definition, Notation, and Interpretation
_’- In mathematics, a _’- _’- _’- _’-_’- _’- _’- _’- _’-


function is a relation between a set of inputs and a set of permissible
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outputs with the property that each input is related to exactly one output.
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Given f(x) = x² + 2x - 1, find f(2).
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f(2) = (2)² +2(2) - 1
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_’- =4+4-1
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_’- =7
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Circles and Other Conics _’- center: the point (h, k) at the center of a
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circle, an ellipse, or an hyperbola
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parabola: Ax² + Dx + Ey = 0 _’- _’- _’- _’- _’- _’- _’-




circle: x² + y² + Dx + Ey + F = 0
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ellipse: Ax² + Cy² + Dx + Ey + F = 0
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hyperbola: Ax² - Cy² + Dx + Ey + F = 0 _’- _’- _’- _’- _’- _’- _’- _’- _’- _’- _’-

, (x - 2)² + y² = 5²
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circle, center = (2, 0) radius = 5
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Factoring and Simplifying Algebraic Expressions
_’- _’- _’- _’- _’-_’- _’- x²+4x+3
(x+3)(x+1)


3y²+12y
3y(y+4)


4x²-9
(2x+3)(2x-3)


Rules Using Positive Integer Exponents and Solving Linear and Literal
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Equations (4²)(4³) = 4⁵ must have same base
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(4²)³ = 4⁶
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Geometry - Introductory One-Dimensional Problems
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Geometry - Solids and More Complex One-Dimensional Problems
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Graphs and Systems of Linear Equations
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Simplifying Expressions - Operations on Polynomials
_’- _’- _’- _’- _’- _’-_’- _’- adding - group like
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terms
subtracting - like terms but subtraction sign to all
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