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Areté STEM

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Free Math & STEM AP Worksheets

Step-by-step solutions for grades 6-12 + AP courses. Math, AP Calculus, AP Physics, AP Chemistry, AP Biology, AP Computer Science worksheets created by a Yale Ph.D. physicist. Perfect for middle school, high school, AP exam prep, homeschool, and test prep100% free printable worksheets with answer keys.

"Most free worksheets online are for elementary students. I created these rigorous, college-prep STEM resources specifically for middle schoolers, high schoolers, and AP students—the same quality I use with my own teens."

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Worksheet Catalog

Algebra 1: Linear equation system - Basic 1 thumbnail Grade 7, 8, 9

Algebra 1: Linear equation system - Basic 1

This document provides step-by-step solutions to various systems of linear equations and word problems using methods like substitution, elimination, and transformation.

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Algebra 1: Linear equation system thumbnail Grade 7, 8, 9

Algebra 1: Linear equation system

This document contains a set of linear equation problems, including systems of equations solved using substitution, elimination, and transformations, as well as word problems involving parameters, misinterpretations, pricing, and motion. Detailed step-by-step solutions are provided for each problem, created by Dr. Arete for educational purposes.

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Rational Numbers: Calculation Intermediate 1 thumbnail Grade 7

Rational Numbers: Calculation Intermediate 1

This document is a set of 15 math problems focusing on simplifying rational number math expressions using the correct order of operations, along with step-by-step solutions.

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Rational Numbers: Calculation Basic 1 thumbnail Grade 7

Rational Numbers: Calculation Basic 1

The document provides step-by-step solutions for basic calculations involving rational numbers, including addition, subtraction, multiplication, and division.

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Rational Numbers: Concepts & Examples thumbnail Grade 7

Rational Numbers: Concepts & Examples

This document provides an essential guide to pre-algebra foundations, covering rational numbers, absolute value, and scientific notation.

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Algebra 1: Linear Equation Word
Problems - Types and how-to thumbnail Grade 7, 8, 9

Algebra 1: Linear Equation Word Problems - Types and how-to

This document provides a comprehensive guide to solving linear equation word problems commonly encountered in middle school algebra with examples.

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Algebra 1: Linear Equations - Complexed 7 thumbnail Grade 7, 8, 9

Algebra 1: Linear Equations - Complexed 7

The document is a worksheet for solving complex linear equations in Algebra 1, with ten problems requiring students to solve for the variable x and show their work. It includes detailed solutions for each problem, demonstrating steps such as distributing, combining terms, and solving for x.

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Algebra 1: Linear Equations - Complexed 6 thumbnail Grade 7, 8, 9

Algebra 1: Linear Equations - Complexed 6

This problem set presents ten linear equations involving fractions and decimals that require algebraic manipulation to solve for the variable. The process for solving these equations typically involves clearing the denominators using the Least Common Denominator (LCD), distributing, and combining like terms to isolate the variable.

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Algebra 1: Linear Equations - Word Problems advanced
1 thumbnail Grade 7, 8, 9

Algebra 1: Linear Equations - Word Problems advanced 1

This problem set consists of six word problems that require setting up and solving a single linear equation for each scenario. The problems cover classic algebraic topics, including

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Algebra 1: Linear Equations - Complexed 5 thumbnail Grade 7, 8, 9

Algebra 1: Linear Equations - Complexed 5

This problem set presents ten linear equations involving fractions and decimals that require algebraic manipulation to solve for the variable. The process for solving these equations typically involves clearing the denominators using the Least Common Denominator (LCD), distributing, and combining like terms to isolate the variable.

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Algebra 1: Linear Equations - Complexed 4 thumbnail Grade 7, 8, 9

Algebra 1: Linear Equations - Complexed 4

This problem set presents ten linear equations involving fractions and decimals that require algebraic manipulation to solve for the variable. The process for solving these equations typically involves clearing the denominators using the Least Common Denominator (LCD), distributing, and combining like terms to isolate the variable.

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Algebra 1: Linear Equations - Complexed 3 thumbnail Grade 7, 8, 9

Algebra 1: Linear Equations - Complexed 3

This problem set presents ten linear equations involving fractions and decimals that require algebraic manipulation to solve for the variable. The process for solving these equations typically involves clearing the denominators using the Least Common Denominator (LCD), distributing, and combining like terms to isolate the variable.

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Algebra 1: Linear Equations - Complexed 2 thumbnail Grade 7, 8, 9

Algebra 1: Linear Equations - Complexed 2

This problem set presents ten linear equations involving fractions and decimals that require algebraic manipulation to solve for the variable. The process for solving these equations typically involves clearing the denominators using the Least Common Denominator (LCD), distributing, and combining like terms to isolate the variable.

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Algebra 1: Linear Equations - Complexed 1 thumbnail Grade 7, 8, 9

Algebra 1: Linear Equations - Complexed 1

This problem set presents ten linear equations involving fractions and decimals that require algebraic manipulation to solve for the variable. The process for solving these equations typically involves clearing the denominators using the Least Common Denominator (LCD), distributing, and combining like terms to isolate the variable.

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Algebra 1: Linear Equations - Challenge 1 thumbnail Grade 7, 8, 9, 10

Algebra 1: Linear Equations - Challenge 1

This problem set consists of ten challenging problems focused on solving various linear equations, including those with fractional coefficients and literal equations, and determining parameter values based on solution conditions. The problems require simplifying complex expressions, substituting solutions, and analyzing conditions for unique, non-existent, or infinite solutions.

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Created by a Yale-Trained Physicist & Mom 👩‍🔬

Real expertise. Real-world experience. Real results.

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Ph.D. in Physics from Yale University. Deep understanding of mathematical concepts and how they build upon each other.

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Mother of a middle schooler and high schooler. I know firsthand the struggles and triumphs of helping kids master math.

"Every worksheet is designed with the rigor of academic standards and the practical wisdom of raising two teens through their math journey."

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