AP Calculus AB Practice Test PR 2  Multiple Choice

Types of Problems:

Paper Copy

Worked Out Solutions
PR Test 2 NO calculator test 1 (5Q)
  • derivative at a point
  • domain of a radical function
  • limit of a rational function
  • derivative of a rational function
  • limit of a rational function            "h definition" 
PR Test 2 NO CALC 1 PAPER COPY
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PR Test 2 NO CALC 1 SOLUTIONS
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PR Test 2 NO calculator test 2 (5Q)
  • Integration through u substitution
  • Piecewise Function continuity and differentiability
  • Integration 
  • Derivative of a product involving a trig function
  • Equation of a tangent line
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PR Test 2 NO CALC 2 SOLUTIONS
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PR Test 2 NO calculator test 3 (5Q)
  • ​Definite Integral 
  • Mean Value Theorem
  • Absolute Maximum
  • Implicit Differentiation
  • Derivative at a point (radical function)
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PR Test 2 NO calculator test 4 (5Q)
  • ​Integration with u substitution
  • Tangent line through a given point
  • position velocity acceleration
  • Derivative of an exponential function
  • Average Value
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PR Test 2 NO calculator test 4 (5Q)
  • ​Third Derivative of a trigonometric
  • Slope of a normal line
  • Integral involving e and u substitution 
  • Limit of a rational function with a trigonometric function
  • Volume by revolution about x axis
PR Test 2 NO CALC 5 PAPER COPY
PR Test 2 NO CALC 5 SOLUTIONS
PR Test 2 NO calculator test 6 (3Q)
  • Derivative of a function (chain rule)​
  • Integral with u substitution 
  • Solving differential equations at a particular value
PR Test 2 NO CALC 6 PAPER COPY
PR Test 2 NO CALC  SOLUTIONS
PR Test 2 YES calculator test 1 (5Q)
  • Inflection points​
  • Average Value
  • Integral of a tangent function
  • Derivative of an integral
  • Solving differential equations at a specific value 
PR Test 2 YES CALC 1 PAPER COPY
PR Test 2 YES CALC 1 SOLUTIONS
PR Test 2 NO calculator test 2 (5Q)
  • ​Local Maximum
  • Trapezoidal Rule
  • Volume through revolution
  • Related Rates (ladder problem)
  • Integration related to ln x
PR Test 2 YES CALC 2 PAPER COPY
PR Test 2 YES CALC 2 SOLUTIONS
PR Test 2 NO calculator test 3 (4Q)
  • Local Maximum (nonstandard)​
  • Velocity to total distance traveled
  • Integration of trigonometric function with ​u substitution
  • Related Rates (volume of a cube)
PR Test 2 YES CALC 3 PAPER COPY
PR Test 2 YES CALC 3 SOLUTIONS
PR Test 2 NO calculator test 4 (3Q)
  • ​Second derivative at a specific value and chain rule
  • position velocity acceleration
  • piecewise continuous and differentiable
PR Test 2 YES CALC 4 PAPER COPY
PR Test 2 YES CALC 4 SOLUTIONS

AP Calculus AB Practice Test PR 2 FREE Response 

PR TEST YES FR 1 Function Behavior 
  • equation of the tangent line
  • coordinate of the absolute minimum
  • coordinates of the points of inflection
PR TEST YES FR 1 Function Behavior
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PR TEST YES FR 1 Function Behavior
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PR Test YES FR 2 AB Problem
Trigonometric function
  • determine A and B based on given information
  • find average temperature over a given interval
  • Use the Trapezoidal Rule
  • determine rate of change
PR Test YES FR 2 AB Problem 
Trigonometric function PAPER COPY
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PR Test YES FR 2 AB Problem 
Trigonometric function SOLUTIONS
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PR Test YES FR 3 Differential Equation 
  • Write a function based on a differential equation and an initial conditions
  • Apply function at a particular value
  • Build a related function based on function from a differential equation
PR Test YES FR 2 Differential Equation
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PR Test YES FR 2 Differential Equation
SOLUTIONS
PR Test NO FR 4  Volume Application
  • Rate of change at a specific depth
  • Determination of h of sphere area related to its radius
  • Rate of change of circular top at a particular depth.
PR Test NO FR 4  Volume Application
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PR Test NO FR 4  Volume Application
SOLUTIONS
PR Test NO FR 5 Area and Volumes
  • Determine area between two curves
  • Determine volume of solid created by revolution about x axis
  • Determine volume based on cross-section created by two curves 
PR Test NO FR 5 Area and Volumes
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PR Test NO FR 5 Area and Volumes
​SOLUTIONS
PR Test NO FR 6 Velocity function
  • Write position function based on velocity function
  • Direction changes of a particle movement
  • Determine total distance traveled over interval of time based on the velocity function
PR Test NO FR 6 Velocity function
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PR Test NO FR 6 Velocity function
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