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Illustrative Mathematics

Complex number patterns

For Teachers 10th - 12th Standards
Start off with the definition of the imaginary number i, then have your class practice simplifying expressions involving powers of i and look for patterns. See how the cyclic nature of powers of i translate to sums of powers of i.
Worksheet
Curated OER

Rational Exponents

For Students 9th - 11th Standards
In this Algebra worksheet, students simplify expressions involving rational exponents.  The one page worksheet contains explanation, examples and nine practice problems.  
Worksheet
Curated OER

Rational Expressions

For Students 11th
In this Algebra II learning exercise, 11th graders simplify rational algebraic expressions by factoring and cancelling the common factors.  The two page learning exercise contains instruction, worked examples, and three practice...
Lesson Plan
Odell Education

Complex Numbers

For Teachers 10th - 12th
Build on your class' understanding of real numbers as they begin working with complex numbers. Pupils begin with an exploration of i and the patterns in the powers of i. After developing a definition for i, they simplify complex number...
Lesson Plan
Curated OER

Using the Distributive Property #5

For Teachers 7th - 8th
In this using the distributive property #5 worksheet, students simplify 10 algebraic expressions by using the distributive property and combining like terms.
Lesson Plan
Curated OER

Practice Exit Exam - Mat 0024

For Teachers 9th - 12th
For this practice exit exam, students complete a variety of basic algebra problems on an Algebra I skill level. They simplify expressions containing variables, factor quadratic equations, find the slope of a line, identify the...
Lesson Plan
Curated OER

Order of Operations: Pages 19-24

For Teachers 9th - 10th
In this math worksheet, students evaluate 15 expressions using the order of operations. Students then evaluate 4 more expressions with given numerical values for variables.
Worksheet
Curated OER

Order of Operations

For Students 9th - Higher Ed
In this order of operations worksheet, students simplify and evaluate 10 different types of problems by applying the order of operations in each. They simplify basic equations whether multiplication, division, addition, or subtraction....
Worksheet
Curated OER

Operations with Signed Numbers

For Students 7th - 8th
In this middle school mathematics worksheet, learners simplify expression with signed numbers and evaluate expressions for the given value of the variable. The one page worksheet contains twelve problems. Answers are not provided. 
Worksheet
Math Stars

Math Stars: a Problem-Solving Newsletter Grade 7

For Students 6th - 9th Standards
Put on your thinking caps because middle school math has never been more interesting in this huge resource full of thought provoking questions. Written as a newsletter, the resource has 10 two-page newsletters with a variety of...
Worksheet
Curated OER

Simplifying Exponents of Polynomials Worksheets

For Students 9th - 10th
In this polynomial worksheet, students use FOIL to simplify polynomial equations with exponents. They evaluate expressions with two variables involving positive and negative integers. Students place their answers on the web page for...
Worksheet
Curated OER

Factorial Notation

For Students 9th
In this factorial notation learning exercise, 9th graders solve 10 different problems that include writing out various equations in factorial notation form. First, they write out the factorials and cancel out what they can. Then,...
Worksheet
Worksheet Library

Exponents (Simplifying Exponents)

For Students 5th - 7th Standards
Two exponent worksheets are available in this resource. On both, mathematicians expound their understanding of exponents by evaluating 20 expressions. An answer key for both pages follows the worksheets. Be aware that some of the...
Worksheet
Curated OER

Academic Algebra II 1st Semester Exam

For Students 9th - 12th
In the semester exam, students solve problems dealing the the discriminant of quadratic equations, systems of equations, linear equations and inequalities. Students also simplify radicals, complete squares, and find the inverse...
Worksheet
Curated OER

Test Chapter 8 Algebra II

For Students 10th - 12th
In this radical equations and expressions test, students answer 4 multiple choice and 21 short answer questions.
Worksheet
Curated OER

Chapter 7 - Objective 4.1 - Factoring

For Students 10th - 11th
In this factoring instructional activity, students combine like terms and simplify polynomials by factoring. This one-page instructional activity contains ten problems.
Worksheet
Curated OER

Powers

For Students 9th
In this powers worksheet, 9th graders solve 10 different equations that involve powers. They distribute when necessary and simplify each equation. Then, students add the powers in each to complete their answers.
Worksheet
Curated OER

Algebra II Test covering Radicals, Complex Numbers, and Finding Roots of Quadratics

For Students 10th - 12th
For this algebra two worksheet, students solve twenty-five problems in test format.  The worksheet covers radicals, complex numbers, and finding roots of quadratics.
Worksheet
Curated OER

Complex Numbers

For Students 9th
In this complex numbers instructional activity, 9th graders solve 10 different problems that include addition and subtraction of these numbers. First, they add or subtract the coefficients of similar terms algebraically. Then, students...
Lesson Plan
Odell Education

Translate and Evaluate

For Teachers 7th
Hopefully nothing gets lost in translation. Pupils translate between verbal phrases and algebraic expressions. They then use candy to determine what values to substitute into the expressions.
Worksheet
Math-U-See

Algebra 1 Readiness Test

For Students 8th - 11th
Your learners will appreciate this assessment of basic skill calculations that are prerequisite to Algebra1. Adding, subtracting, multiplying, and dividing procedures are addressed in conjunction with whole numbers, decimals, fractions,...
Lesson Plan
Curated OER

College Prep Worksheet Chapter 2, 2.1-2.4, 2.6, 2.8 & 7.5

For Teachers 9th - 10th
In this algebra worksheet, students identify the coefficient, simplify expressions, solve algebraic equations, and graph inequalities. This worksheet contains 93 equations, with an answer key.
Worksheet
Curated OER

Combining Like Terms

For Students 9th
In this combining like terms worksheet, 9th graders solve and complete 10 different problems that include like terms. First, they identify the like terms in each equation. Then, students add all like terms together, making sure that they...
Worksheet
Curated OER

The Distributive Property

For Students 8th - 9th
In this distributive property worksheet, students solve and complete 26 different problems that include using the distributive property to complete. First, they use the distributive property to rewrite each given expression. Then,...