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Number Lines, Variables, Solving for One Variable
Review basic algebraic rules of addition of integers. Then have the class define a variable and explore methods of solving equations with one variable. They observe solving expressions using inverse operations and simplifying solutions....
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Simplifying Expressions (Addition and Subtraction)
Seventh graders simplify algebraic expressions using addition and subtraction to combine like items and solve for the variable. They work with inverse operations to solve equations with guided practice. Everyone completes various...
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Evaluating Expressions
In this expression worksheet, students substitute values for given variables and then simplify the equation. This one-page worksheet contains ten problems, with answers.
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Mixing Fertilizer
Your young landscapers do concentration calculations in this problem dealing with mixing fertilizer. Learners use and analyze rational expressions within this context.
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Simplifying Expressions (Multiplication and Division)
Seventh graders simplify algebraic expressions using multiplication and division to combine like items and solve for the variable. They work with inverse operations to solve equations with guided practice. Students complete various...
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The Language of Algebra
Students compare the language of algebra to a foreign language. They play the game "Pictionary" to emphasize that pictures can represent words. After writing definitions and discussing the meaning of variable expressions, students, in...
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Algebra: Introduction to Algebraic Expressions
Seventh graders, in an introductory algebra class, code and decode messages using substitution ciphers. Role-playing as mathematicians, they work in groups to decipher several messages, one of which translates to "math is awesome."
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Words to Numbers
Seventh graders translate word problems into numerical expressions. Through guided practice, 7th graders discover how to take the information contained in a word problem and create a numerical expression using variables. They...
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Practice Exit Exam - Mat 0024
In 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...
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Solving Equations
In this math worksheet, students solve the problems using the rules of equality. They simplify the equations and find the values of the variables.
Illustrative Mathematics
Rectangle Perimeter 1
Creating an expression to represent the perimeter of a rectangle is a fundamental beginning skill in learning how to use and define variables. This activity starts with the basics and can be followed up with additional tasks.
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Working With Equations
High schoolers create a mathematical formula to help plan ration supplies for a polar expedition. Using basic algebra skills, students identify the variables in planning for rations. They create an equation to help plan the expedition....
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Multiplying Polynomials
Students explore multiplying polynomials. They observe solving polynomials using the standard order of operations, FOIL, and the box method. Throughout the demonstration, students explore strategies of solving word problems such as...
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WORKSHEET # 8 [4.4, 4.5, 4.6, 4.7, & 4.8]
In this college prep algebra worksheet, students combine like terms in 15 polynomial expressions. Students multiply polynomials in 18 expressions. Students divide 6 polynomial expressions. The rest of the 48 problems relate to the...
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Exercise Set 3.3: Variation
In this variation worksheet, learners solve 26 variation problems. Students determine the missing variable by using joint, direct, or inverse variation.
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MA 371 - Linear Equations 1
In this linear equations worksheet, young scholars solve 8 short answer problems. Students write augmented matrices given a system of equations in two and three variables. Young scholars express their answers using an augmented matrix in...
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Solving Equations with Addition and Subtraction
Students simplify linear equations. In this algebra lesson, students solve equations by addition and subtraction. They solve one step equations to practice isolating the variable on one side of the equation.
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Inequalities
Seventh graders graph solutions for inequalities on a number line. They solve 1 and 2 step inequalities in one variable. Students also check solutions to 1 and 2 step equations in one variable
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Gift Wrapping
Sixth graders use the example of a gift wrapping service found in the mall in order to create a problem situation that can be solved mathematically. They convert the word problem into algebraic expressions to be solved.
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Miles of Tiles - The Pool Border Problem
Students recognize patterns and represent situations using algebraic notation and variables. In this variables and patterns lesson, students identify a pattern involving the number of tiles required to form a border around a pool given...
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Solving Systems by Substitution
Students solve systems of linear equations using substitution. They investigate the steps to solving linear equations by substitution and practice problems in small groups.
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Exponent Rules
Students engage in a instructional activity that is concerned with the rules of exponents. They practice solving problems that use exponents in a variety of contexts. Students are shown how to use the rules in numerical sequences and...
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Introductory Exponents
Students participate in a lesson plan combining language arts with mathematics. First, they write a paragraph explaining what it means to multiply two numbers. Then students practice using exponents in different problems.
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Equations in Motion: Design and construct a mobile
Students participate in a lesson that covers the concepts of solving equations and inequalities. To master the concept they must demonstrate visually and verbally how both sides of an equation must be balanced. They construct a balanced...