In this algebra instructional activity, students factor quadratic equations using the difference of squares and cubes. They factor other polynomials finding the roots. There are 37 questions with an answer key.

Estimating the value of numbers is much harder than it sounds! Scholars compare and order the value of numbers presented in different forms including fractions, decimals, roots, integers, and pi. This builds on the previous lessons in...

Is 4 plus the square root of 2 rational or irrational? After your class has gained a basic grasp of rational and irrational numbers, use this learning exercise to push them a little further in their understanding. Learners must identify...

Provide pupils with problems to check their understanding of the concepts within the unit. The seven-part series of lessons covers concepts related to irrational numbers. Learners convert between fractions and decimals, estimate the...

Don't be irrational! Use this pre-test to assess your classes' ability to work with all types of real numbers. The lesson asks learners to estimate value, evaluate roots, and order numbers. This begins a series of lessons on the real...

In this maximum and minimum problems activity, students solve and complete 9 various types of problems. First, they find two numbers with a given sum. Then, students find the maximum and minimum value of each equation. They also find the...

In this polynomial learning exercise, students complete the square of a given problem. Explanations and examples are provided. This two-page learning exercise contains ten problems.

In this factoring worksheet, students factor perfect squares. Explanations and examples are provided at the beginning of the worksheet. This two-page worksheet contains ten problems.

In this radicals worksheet, 9th graders solve and complete 16 different problems that include various radical expressions. First, they simplify each radical expression. Then, students use the Pythagorean Theorem to find each missing...

In this differential equations learning exercise, students solve and complete 3 sets of various problems. First, they solve each of the differential equations. Then, students use the given information to evaluate the constant of...

In this algebra worksheet, students solve equations through substitution and then solve for an unknown. They simplify division equations containing exponents and two variables and solve radical problems. This worksheet contains a...

In this functions worksheet, pupils explore the graphs of fifteen parent functions.  This worksheet is meant as a reference for students.

In this imaginary unit worksheet, 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....

In this year game worksheet, students write expressions for the counting numbers one through 100 using only digits in the curent year.  They do so using only the digits in the current year and using addition, multiplication,...

In this ways to solve quadratic equations activity, learners solve 19 equations using five different methods, then solve four more using the method of their choice.

Reinforce the concept of factors, multiples, and prime numbers with a 16-problem practice activity. Eight pages offer a variety of problem solving opportunities with clear objectives and tips for successful completion. 

Your pupils just may know more than you think they do! A pre-test assesses their ability to solve and write equations. It includes simple quadratic and cubic equations as well. 

For this evaluate integrals worksheet, students solve and complete 12 different problems. First, they use the trigonometric identity given to rewrite the integral as follows. Then, students substitute when necessary and use integral...

In this radical equations worksheet, students solve given radical equations. They solve problems containing variables, exponents, and fractions. This two-page worksheet contains 20 multi-step problems.

In this quadratic equations worksheet, students solve quadratic equations. They write quadratic equations to solve a specified situation. This one-page worksheet contains 3 problems.

In this polynomial learning exercise, students solve 12 questions. The first five questions deal with the roots of the polynomials. Students state the inverse for one problem and the reciprocal for one problem. They make three graphs,...

In this calculus learning exercise, students evaluate given integrals. Problems contain exponents, square roots, and complex fractions. This two-page learning exercise contains 16 multi-step problems. Answers are provided on page two.

In this calculus assignment worksheet, students evaluate given integrals. Problems contain square roots, complex fractions, and exponents. This two-page worksheet contains 14 problems. Answers are provided on page two of the worksheet.

For this exponential expressions worksheet, students simplify the first four expressions by following the rules of exponents. For number 5 they rewrite the exponential expression shown as a radical expression. Finally, for the last five...