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Algebra Manipulating Variables - Advanced

Unit 7

This math unit opens with foundational algebraic concepts, beginning with solving basic linear equations with one variable. As the unit progresses, the focus shifts towards more complex operations involving algebraic fractions, where students first learn to solve and simplify equations with fractions and eventually handle advanced fraction manipulations, including those with multiple variables. The unit proceeds to expand into polynomial manipulation, targeting skills from expanding expressions with a single variable multiplied by bracketed terms to handling polynomials involving multiple variables. Students practice distributing variables across terms and simplifying the resulting expressions—a vital skill for more advanced studies in algebra. Towards the end of the unit, the emphasis is on multiplying bracketed terms—both with the same and different variables—to reinforce understanding of the distributive property and improve the ability to expand and manipulate polynomial expressions. The unit concludes with exercises that involve solving for integer pairs that meet specific conditions, synthesizing earlier concepts with integer properties and polynomial reasoning.

Skills you will learn include:

Foundational Units
Builds Towards

Activity & Progress

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This math topic focuses on practicing advanced algebraic skills. The exercises involve the use of substitution and subtraction,...

This math topic focuses on algebraic functions involving the multiplication of bracketed terms with different variables....

This topic focuses on algebraic functions, specifically on the multiplication of bracketed terms with the same variable....

This math topic focuses on solving polynomial and quadratic equations by finding pairs of integers that add up to a specified...

This topic focuses on advanced algebraic functions involving bracketed terms and squared expressions. It's part of a broader...

This math topic focuses on solving linear equations involving one variable with four terms. It is designed to help students...

This math topic focuses on solving equations involving fractions, specifically requiring participants to express a variable...

This math topic focuses on practicing fraction manipulation within algebraic expressions, specifically related to solving...

This math topic focuses on solving linear equations with one variable and four terms. The problems cover a range of equation...

This math topic focuses on advanced algebraic concepts involving fraction manipulation. It includes exercises that require...

This math topic deals with advanced algebraic concepts related to fraction manipulation. It involves solving equations where...

This math topic focuses on advanced algebraic concepts. It prompts learners to practice the skill of balancing shapes, where...

This topic focuses on algebraic functions and involves problems that require working with the same variable times bracketed...

This math topic challenges students to expand and simplify bracketed algebraic expressions. Specifically, the subject focuses...

The math topic focuses on multiplying bracketed algebraic expressions involving different variables, a part of advanced polynomials...

This math topic focuses on the skill of multiplying bracketed terms in algebraic functions, specifically when the same variable...

This math topic focuses on practicing algebraic functions, particularly dealing with squared bracketed terms. It dives into...

This math topic is focused on solving linear equations with one variable, specifically those involving three terms. The problems...

This math topic focuses on solving linear equations with one variable that contain three terms. It is an introductory level...

This math topic focuses on solving linear equations with one variable and two terms, part of an introductory unit on basic...

This math topic focuses on manipulating algebraic fractions, particularly solving and simplifying fractions in terms of variables....

This math topic focuses on algebraic manipulation of fractions, specifically involving variables. It is designed to enhance...

This math topic focuses on advanced algebraic manipulation of fractions, specifically solving for an unknown variable ('?')...

This math topic focuses on expanding and simplifying algebraic expressions where a variable multiplies a bracketed term....

This math topic involves practicing algebraic substitution and subtraction through balanced scales problems. It requires...

This math topic focuses on simplifying algebraic functions, specifically involving a single variable multiplied by bracketed...

This math topic focuses on the skill of multiplying bracketed algebraic terms with different variables, which is foundational...

This math topic focuses on the multiplication of algebraic functions involving bracketed terms with different variables....

This math topic focuses on algebraic manipulation of fractions, specifically solving for unknown variables within fractional...

These problems are centered around manipulating algebraic fractions within the context of solving for an unknown variable....

This math topic focuses on the skill of solving for pairs of integers that satisfy given conditions for summation and multiplication,...

This math topic is focused on algebraic functions, specifically multiplying bracketed terms with the same variable. It is...

This math topic involves practicing algebraic functions specifically focused on multiplying values with bracketed terms....

This math topic involves practicing the skill of expanding algebraic expressions where a single value is multiplied by bracketed...

This math topic focuses on practicing the expansion and simplification of algebraic expressions involving a variable multiplied...

This math topic focuses on the application of algebra to balance scales, using substitution and subtraction to find solutions...