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AP PRECALCULUS EXAM - FRQ #4 PRACTICE PROBLEMS WORKSHEET
Need an effective and relevant way to help your AP Precalculus students prepare for FRQ 4 of the AP Precalculus Exam? This ready-to-print worksheet makes practicing and reviewing essential skills solving equations, simplifying expressions involving trig functions, logs, and exponents, while reinforcing content needed to pass the AP Exam! What's Included:This FRQ Practice worksheet contains 12 no-calculator problems.It includes mixed solutions, so that as students complete each problem, they can
9th - 12th, Higher Education
PreCalculus
Solving Limits Practice Worksheet
What's Included?In this worksheet there are 10 limit problems and a full answer key with steps! This was made with Overleaf using LaTeX. None of these limits require L'Hopital's rule. How do I Use This?This makes for great homework or a good test for your students! This comes with an answer key that explains each step so this could also be used as a study guide!
11th - 12th, Adult Education, Higher Education
Calculus, PreCalculus
CCSS
HSF-IF.A.1
Also included in: ULTIMATE AP Calculus Bundle
Rational Functions - Solving Rational Functions Worksheet
THIS RESOURCE INCLUDES:6 Practice problemsAnswer Keys included!Feel free to message me to request topics, lessons, corrections or edits to existing content! Enjoy! Please leave a good review or comment. It really helps out the store! Lastly, follow us to get early access to new materials! Thank you for supporting fellow educators! Terms of Use:Purchasing this resource grants the buyer an individual, non-transferable license for a single teacher only for personal use. You may purchase addition
9th - 12th, Higher Education
Algebra, Algebra 2, PreCalculus
CCSS
HSA-APR.D.7
Solving Cubic Polynomial Functions Worksheet (Factoring & Grouping)
THIS RESOURCE INCLUDES:One pager notes11 Practice problemsAnswer Keys included!Feel free to message me to request topics, lessons, corrections or edits to existing content! Enjoy! Please leave a good review or comment. It really helps out the store! Lastly, follow us to get early access to new materials! Thank you for supporting fellow educators! ************************* Terms of Use:Purchasing this resource grants the buyer an individual, non-transferable license for a single teacher only f
9th - 12th, Higher Education
Algebra, Algebra 2, PreCalculus
CCSS
HSA-APR.B.3
Solving Logarithmic Equations
THIS RESOURCE INCLUDES:One pager notes11 Practice problemsAnswer Keys included!Feel free to message me to request topics, lessons, corrections or edits to existing content! Enjoy! Please leave a good review or comment. It really helps out the store! Lastly, follow us to get early access to new materials! Thank you for supporting fellow educators! ************************* Terms of Use:Purchasing this resource grants the buyer an individual, non-transferable license for a single teacher only f
9th - 12th, Higher Education
Algebra, Algebra 2, PreCalculus
CCSS
HSF-LE.A.4
SOLVING EXPONENTIAL EQUATIONS WORKSHEET
I created this worksheet on Solving Exponential Equations, so that my students could work through the concept organized by types of exponential equations, in a progressive manner. The worksheet is organized by the following types: + Solve by rewriting using the same base number + Solve by taking the log of base b of both sides (the inverse of b^x) + Solve by taking the natural log of both sides (the inverse of e^x) + Solve by either taking the natural log or log of base 10 of both sides The prob
9th - 12th
Algebra 2, PreCalculus
Exponential and Logarithmic Equations Applications Task Cards plus Worksheet
This Applications of Logarithmic and Exponential Equations Word Problems activity will challenge and engage your PreCalculus, AP PreCalculus, and Algebra 2H students. There are 10 Task Cards with real world applications, both exponential and logarithmic, some with multiple parts, all with full solutions. Students answer questions about the applications and the contextual scenarios. Note: There is no regression in this activity. The equations and formulas are given. Included: 10 Task Cards,
10th - 12th
Algebra 2, Math, PreCalculus
CCSS
HSF-LE.A.2
, HSF-LE.A.4
, HSF-LE.B.5
Literal (Variable) Equations Worksheets and Notes for 8th, 9th & 10th Grade Math
This resource helps 8th, 9th and 10 grade students master solving literal, or variable, equations. Within 6 pages, the resource contains 40 well-structured exercises; problems including fractions, multiple terms, and equations with 2, 3, or more variables. Students practice with the exact types of problems they’ll see in class and on assessments, making this resource perfect for guided practice, homework, or test prep! What’s Included: 40 literal equation practice problemsMultiple choice and
8th - 11th
Algebra, Algebra 2, PreCalculus
CCSS
HSA-CED.A.4
Derivatives Using Chain Rule (Trig & Transcendental) Scavenger Hunt
Overview:Interactive scavenger hunt activity focused on practicing the chain rule for derivatives. Includes 15 problems featuring trigonometric and transcendental functions like sine, cosine, tangent, exponentials, and logarithms. Specifically designed to target composite function differentiation, helping students master the chain rule in more complex contexts. Promotes movement, engagement, and self-checking through a clue-based structure that turns practice into a challenge. What’s Includ
10th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Derivatives Scavenger Hunt Bundle
Rational Functions Graphs and Key Features and Properties
Your students will practice determining the Key Properties of Rational Functions and Their Graphs. There are 11 problems for your students to solve plus a blank problem template for you to customize or create an assessment or homework. Students graph the function and find the: domainrangehorizontal asymptotesvertical asymptotesholesx – interceptsy-interceptsslant asymptotes when applicable. I have included slant (oblique) asymptotes on two problems. These can be omitted if that topic is not
10th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.B.4
, HSF-IF.B.5
+3
Also included in: AP PreCalculus Unit 1 Polynomial and Rational Functions Activity Bundle
Inverse Functions | Answer Key
Build student confidence with this introductory inverse functions worksheet! The resource covers recognizing, finding, and verifying inverses—with problems ranging from swapping input-output pairs to solving formulas for the inverse and analyzing graphs. Ideal for high school precalculus or algebra review, this worksheet is perfect for class, homework, or small group practice.
8th - 11th
Algebra, Algebra 2, PreCalculus
Limits of Trig Functions Choice Board Calculus Worksheet
Limits of Trig Functions Choice Board gives students the chance to take ownership of their learning and choose what problems they want to solve while practicing solving the special trig limit (lim x- > 0 sin(x)/x). Choice boards work great as individual or partner activities during class or at home for students looking for additional practice problems. Limits of trig functions choice board is the perfect NO PREP activity that includes 16 problems total divided into 4 sets. All problems
11th - 12th, Higher Education
Calculus, Math, PreCalculus
CCSS
MP6
, MP7
, MP8
Also included in: Evaluating Limits Practice Calculus Review Choice Board Activity
Finding Derivatives Practice | No-Prep Color by Number Calculus Activity
Make practicing derivatives more engaging with this color-by-number calculus activity focused on finding derivatives using basic differentiation rules! Students will solve 10 problems involving polynomial, trigonometric, exponential, and logarithmic functions, then use their answers to reveal a geometric image by coloring the correct sections. This makes it perfect for reinforcing derivative rules in a fun and visual way. This no-prep calculus worksheet is ideal for AP Calculus AB, Calculu
10th - 12th, Higher Education
Calculus, PreCalculus
Systems of Linear Equations with 3 Variables Task Cards HW Calculator Handout
Your students will get lots of practice with this Systems of Linear Equations with Three and Four Variables Task Card Resource.Your students practice solving systems of equations with three or more variables. Choose your method!! Elimination, Substitution, Matrices, or the Graphing Calculator. These problems are adaptable to all methods including using technology. Included: Task Cards: There are two sets of cards, one in Black and White and the other Color # 1 - 8 are 3 equations,
10th - 12th, Higher Education
Algebra 2, Math, PreCalculus
CCSS
HSA-REI.B.4
, HSA-REI.C.5
, HSA-REI.C.6
+1
Also included in: Systems of Equations and Matrices Unit Bundle PreCalculus
Calculus Limit Review Task Card Practice Activity
Calculus limit review task card activity can be used in your classroom in many different ways. Students can work individually or collaborate together to solve the task cards; either way they will be reinforcing the skill of how to find a limit algebraically. Calculus limit review activity has 24 task cards that include a variety of different limit problems. Students will practice computing limits algebraically through examples that involve factoring and reducing common factors, multiplying
11th - 12th, Higher Education
Calculus, PreCalculus
CCSS
MP1
, MP5
, MP6
Finding Limits From Piecewise Graphs Calculus Practice
Finding limits from graphs task card activity can be used in your classroom in many different ways. Students could work on these 24 questions individually or collaborate together to solve the problems; either way they will be reinforcing the skill of how to find limits from a graph. Understanding how to find limits graphically of piecewise functions is a key skill to build at the beginning of a calculus course as students will be using graphs throughout the rest of the year. This task card
11th - 12th, Higher Education
Calculus, PreCalculus
CCSS
MP1
, MP2
, MP6
AP Precalculus FRQ 2 Exponential Systems Practice
Do your students in AP Precalculus struggle with FRQ 2 when the function is in exponential form? Prepare your students for Free Response Questions (FRQs) with this focused practice on solving exponential systems! This resource helps students master writing and solving systems of equations in the form f(x)=a⋅b^x. Students will: ✔ Write systems of exponential equations from given conditions. ✔ Use substitution and properties of exponents to solve for the values of a and b. ✔ Use a calculator
10th - 12th
PreCalculus
Equations and Tape Diagram Matching Activity | 6th Grade Math Visual Reasoning
Match Equations to Models — Build Visual Reasoning Skills! This engaging printable activity challenges students to match one-step equations with their corresponding tape diagrams. Designed to reinforce algebraic reasoning and model-based problem solving, it’s a great hands-on way to build conceptual understanding of how equations represent quantities. What’s Included: - A variety of one-step equations with addition, subtraction, multiplication, and division - Matching visual tape diagrams for e
5th - 7th
Arithmetic, Numbers, PreCalculus
CCSS
6.EE.B.6
, 6.EE.B.7
Advanced Logic & Calculus Puzzle Book – Grades 12+, Adult Learners, Enrichment
Challenge Your Advanced Learners With High-Level Math Puzzles!This Advanced Logic & Calculus Puzzle Book is designed for Grades 12+, AP students, college-prep classes, STEM clubs, and adult learners who thrive on rigorous problem-solving. Featuring Calculus & Mathematical Word Searches, Star Sudoku, and Arrow Sudoku, this collection provides powerful enrichment that builds higher-order thinking and deep mathematical reasoning. 103 pagesWhat’s Inside This ResourceStudents and adult learners
Adult Education, Higher Education
Algebra 2, Calculus, PreCalculus
Probability Circuit – Teen Edition (AP Statistics Unit 4 Review & Self-Checking)
Self-checking circuit with 32 real-world probability problems using teen slang and humor | Perfect for AP Statistics or Algebra 2 reviewTurn your probability review into a game-like challenge with this self-checking circuit worksheet! Students solve 32 creative word problems covering all key probability concepts from AP Statistics Unit 4, including complements, unions, intersections, independence, conditional probability, and Venn/tree diagrams — all wrapped in relatable, school-appropriate
9th - 12th
Algebra 2, PreCalculus, Statistics
CCSS
HSS-CP.A.1
, HSS-CP.A.3
, HSS-CP.A.5
+2
Also included in: Probability Game Bundle: AP Statistics & Algebra 2 Review Activities
Solving Limits Algebraically Calculus Choice Board Review
Solving Limits Algebraically Choice Board gives students the chance to choose their practice and take ownership of their learning. Choice boards work great as individual or partner activities during class or at home for students looking for additional practice problems. Solving limits algebraically choice board is the perfect NO PREP activity that includes 16 problems total divided into 4 sets. Students will choose two problems from each set to complete. No matter which problems they choose
11th - 12th, Higher Education
Calculus, Math, PreCalculus
CCSS
MP1
Also included in: Evaluating Limits Practice Calculus Review Choice Board Activity
Preschool Math Worksheets: Number Counting & Shapes
Beginner Math Worksheets for Kids These worksheets introduce numbers, counting, and basic shapes through fun and simple activities that encourage confidence and independent learning. Perfect for preschool and early kindergarten students, this printable set helps children practice essential early math skills while developing focus, problem-solving abilities, and fine motor skills. What’s Included ✔ Counting Worksheets (Numbers 1–10) Practice number recognition, counting objects, and tracing numbe
PreK - 2nd
Numbers, Other (Math), PreCalculus
Also included in: Preschool Math Bundle: Numbers, Counting, Shapes
LOGARITHMS: Evaluate, Solve, Condense - A Number Tile Activity.
LOGARITHMS: Evaluate, Solve, Condense - A Number Tile Activity.Use the number tiles 0 - 9 once so that each of the five (5) equations makes a true statement.Rather than a traditional worksheet, try NUMBER TILES, where students will: +interact with each other and the material +problem solve and deeply think +speak mathematics +have fun +feel successful Enjoy and please do not forget to leave feedback.
9th - 12th
Algebra 2, PreCalculus
Grade 11 Math: The Trapezoidal Rule, Calculus - set of 3
Practicing the Trapezoidal Rule (for integration/approximating integrals) is fun with Power Puzzle worksheets! Set of 3. Find the Word Search answers inside! Great for new calculus students! Problems include using the Trapezoid Rule (Trapezium Rule) to estimate area under a curve and between curves, and solving word problems involving area. After solving these problems, students can look for their answers in a Number Search grid. This follow-up activity lets students know if their answers are
11th - 12th
Calculus, PreCalculus
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