Illustrative Mathematics
Watch out for Parentheses
It is important for the algebra learner to understand the use of parentheses. Mathematicians of all levels can make errors with nested parentheses. This will give them some practice. It makes for a good class starter or quick assessment.
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Real Life Situations
Pupils investigate different equations and think critically how they could represent a real-life situation. They should write a word problem to coincide with the given equations. The lesson requires students to use critical thinking skills.
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Inequalities 7.3
Graph inequalities and discuss the difference in their slopes. Learners observe rate of change as they compare linear, quadratic, and cubic functions.
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Elementary Algebra Study Guide
Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...
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Inequalities and The Order of Operations
Middle and high schoolers investigate how to solve inequalities. The lesson has a good guide for taking pupils through a direct instruction of the concept. You can use counting tiles in order to help kinesthetic learners.
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Solving Linear Equations
Study linear equations with this algebra lesson. Middle schoolers solve linear equations using the appropriate properties and create their own equations for each other to solve.
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Solving for an Unknown
In this solving for the unknown worksheet, students solve and complete 18 different problems that include algebraic expressions. First, they study each pattern in the equations shown. Then, students solve each equation for the variable...
Illustrative Mathematics
Growing Coffee
Ask your algebra learners to write an equation that has unit constraints. This commentary talks about the constraints, but does not show them in the equation. It is important that your mathematicians understand that the units apply to...
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College Prep Algebra, Order of Operations
In this algebra worksheet, students evaluate 9 exponential terms. They use order of operations to solve 18 rational number problems. Students use substitution to evaluate 4 problems involving variables.
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Steps and Examples for Multiplying Ratiuonal Expressions
In this multiplying rational expression learning exercise, students are given two examples of how to multiply and then simplify rational expressions. The examples are complete with steps and justifications.
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Can you Find the Expression
Students collect data from measurements and weights for this experiment. In this algebra lesson, students analyze graphs they create form their data to find the expression representing the data. They label which graph provided the best...
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Algebraic Expressions
In this linear expressions worksheet, students simplify given expressions using the FOIL method. They square linear expressions. This two-page worksheet contains two types of problems: some with a single variable, and some with two...
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Translate Equations
In this translating equations worksheet, 7th graders solve 18 different problems related to translations. First, they use variables and the appropriate operations to write an expression or equation for each. Then, students evaluate each...
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Solving Fractional Equations
In this fractional equations worksheet, 9th graders solve 10 different problems that include various types of rational expressions. First, they determine the least common denominator in each. Then, students compare the numerators and add...
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Setting Up Equations
In this setting up equations worksheet, students set up equations with variables for the word problems given. Students complete 16 problems total.
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Quiz: Writing Sentences as Equations
For this writing sentences worksheet, students read statements and translate them into an algebraic expression. Afterward, they solve for the unknown. This one-page worksheet contains ten problems.
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Distributive Property
In this distributive property worksheet, students solve and complete 10 different problems that include applying the distributive property to solve each one. First, they follow the order of operations and calculate what is in the...
Kangaroo Maths
Simplify or Transform Linear Expressions
In this linear expressions activity, prealgebra pros solve and complete three different types of problems. First, they simplify several expressions as far as possible. Then, they match expressions to their simplified versions. Finally,...
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Systems of Equations
In this systems of equations worksheet, students solve ten sets of problems by using the substitution method. They first decide which variable they are going to solve for, x or y. Then, students replace that value with the other equation...
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Basic Algebra
In this basic algebra worksheet, students solve each of 20 equations by following the rules for basic algebra. They identify the variable in each equation. Then, students add or subtract like terms to get them on one side and the...
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Rational Fractions
In this rational fractions worksheet, 9th graders solve 10 different problems that include dividing various rational fractions. First, they change the division sign to a multiplication sign and flip the second fraction only. Then,...
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Complex Numbers
In this complex numbers worksheet, 9th graders solve 10 different problems related to various complex numbers. First, they multiply and divide various types of complex numbers. Then, students determine the multiplicative inverse of each...
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Rational Fractions
In this rational fractions worksheet, 9th graders solve 10 different types of problems that include adding and subtracting. First, they factor each denominator completely, including constant factors, and express repeated factors in...
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Imaginary Unit
In this imaginary unit activity, 9th graders solve 10 different problems that include solving with imaginary units. First, they define an imaginary unit as a number whose square is negative. Then, students solve each expression for x....