In this algebraic solutions worksheet, 9th graders solve 10 different sets of simultaneous equations. First, they solve one of the equations such that one variable is defined in terms of the other. Then, students take the new definition...

In this factoring worksheet, students combine like terms and factor polynomial equations by factoring. This one-page worksheet contains five problems.

Prealgebra apprentices read seven phrases and write an expression for each. The printable version of the worksheet is not very attractive; it has the standards information printed at the top. The problems are arranged in a table and are...

Learners identify and define the rules of properties of real numbers. They rewrite each of the problems listed using the commutative or associative properties. Pupils apply problem solving strategies to clarify situations in a table...

Support young mathematicians with learning the concepts of midpoint and distance with this foldable resource. Offering both graphic examples and written equations, this reference clearly demonstrates for students how these...

Students study the functional relationships of a variety of problems. In this functional relationship lesson, students determine the dependent and independent quantities of a given set of data. Students record the data and...

In this quadratic equations instructional activity, 9th graders solve 10 different problems that include factorable quadratic equations. First, they move all the terms to the same side and set the equation to 0. Then, students factor the...

In this complex fractions worksheet, 9th graders solve 10 different problems that include simplifying various complex fractions. First, they create one single fraction in the numerator and then in the denominator. Then, students rewrite...

In this order of operations worksheet, students solve and complete 7 different problems that include using the order of operations or PEMDAS. First, they simplify expressions inside grouping symbols and then any terms containing...

In this basic algebra activity, 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 variable...

In this factoring instructional activity, students factor equations containing exponents and two to three terms. This one-page instructional activity contains ten problems.

Fifth graders practice calculating probability using statistics.  In this math statistics lesson, 5th graders discover the meanings of the terms unlikely, likely, eventually, and chance, when asked to answer questions about the...

Seventh graders solve 10 different problems that take multiple steps to solve. First, they combine like terms if necessary. Pupils isolate the terms that contain the variable they want to solve. In addition, they substitute their answer...

There's only one way to multiply, right? Not when it comes to polynomials. Reach each individual by incorporating various representations to multiplying polynomials. This lesson approaches multiplying polynomials from all angles. Build...

Your algebra learners interpret algebraic expressions, in order to compare their structures, using a geometric context. They also discern how the two expressions are equivalent and represent a pattern geometrically and algebraically.

This algebra worksheet reviews writing polynomials in standard form from factored form, looks at the graphs of polynomials of degree higher than two, and identifies the zeros of polynomials using the Factor Theorem and Fundamental...

Help mathematicians see that a formula found in a physics book has an algebraic structure. Though the formula given in the resource looks complicated, learners are to break down the expressions and interpret each part separately....

Explore geometric sequences with this 30 problem worksheet. Upper graders determine if the sequences shown are geometric and find the common ratio. Then, given the explicit formula for a geometric sequence find the first five terms and...

Nothing fancy here ... just your run-of-the-mill Algebra party! Learners explore the patterns of linear functions while designing seating arrangements for a dinner party. Comparing the number of tables to the perimeter of the combined...

Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...

Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.

Written to assess students' knowledge of interpreting expressions that represent a quantity in terms of its context, this machine-scored task also allows for a good discussion about units guiding the problem solving and solution.

While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision. 

Have class members going in circles as they model the path of a Ferris Wheel using trigonometric functions. Building on the previous activity in this series on transformations, learners use trigonometric functions to model wheels of...