Curated OER
Rational Numbers
In this algebra activity, students rewrite word problems using algebraic expressions and equations. They use rational numbers to solve their problems. There are 5 questions with an answer key.
Curated OER
Algebra Worksheet: Number systems
This worksheet was originally created for a college level algebra class. It does contain some interesting questions about number and quantity that are important for algebra learners to understand. Natural numbers, integers, rational,...
Curated OER
Algebra 1: Simplifying Radicals
After discussing the difference between rational and irrational numbers, the class pratices simplifying, adding, and subtracting radical expressions. They play a game which involves passing around cards until they have matching hands of...
Curated OER
Positive & Negative Numbers
Young mathematicians solve and complete 22 different problems that include using a number line to evaluate. First, they define each of the terms listed. Then, pupils graph each integer on the given number line. They also evaluate each...
EngageNY
Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?
Looking for an alternative approach to long division? Show your classes how to use factoring in place of long division. Increase their fluency with factoring at the same time!
Concord Consortium
Rational and Not So Rational Functions
Do not cross the line while graphing. Provided with several coordinate axes along with asymptotes, pupils determine two functions that will fit the given restrictions. Scholars then determine other geometrical relationships of asymptotes...
Flipped Math
Multiply and Divide Radicals
This is just radical, dude. Learners view a video to learn how to multiply and divide radical expressions as well as the rules for multiplying numbers within the radicand. They also see how to rationalize the denominator. Examples...
Curated OER
Rational or Irrational
In this rational and irrational numbers learning exercise, 7th graders solve 24 different problems that include defining various rational and irrational numbers and/or expressions. First, they identify whether each given number and/or...
Curated OER
Rational Inequalities
In this rational inequalities learning exercise, 9th graders solve 10 different equations that contain rational inequalities in each. First, they find the zeros from the numerator and the undefined points from the denominator. Then,...
Curated OER
Rational Numbers
In this rational numbers worksheet, students solve and complete 31 different problems that include multiplication of each. First, they determine the product of each problems, changing their signs when needed. Then, students simplify each...
Curated OER
nth Roots and Rational Exponents
In this algebra instructional activity, students evaluate 20 problems in which they work with nth roots and rational exponents. They write expressions using rational exponents and radical notation. They identify roots, and round answers...
Curated OER
Rational Equations
In this rational equations activity, 9th graders solve 10 different problems that include various forms of rational equations. First, they determine the least common denominator in each equation. Then, students compare numerators and...
Curated OER
Rational Exponents
In this rational exponents worksheet, 9th graders solve 10 different problems that include fractional exponents in each. First, they determine the simplest numerical answer possible for each expression. Then, students apply the rules of...
Curated OER
Rational Exponents
In this rational exponents learning exercise, 9th graders solve 10 different problems that include various fractional exponents. They determine the simplest numerical answer possible for each expression. Then, students use the rules of...
Curated OER
Rational Fractions
In this rational fractions worksheet, 9th graders solve 10 different problems that contain using multiplication to solve them. First, they multiply the numerators, then they multiply the denominators in each problem shown. Students also...
Curated OER
Easy Worksheet: Simplifying Radical Expressions 2
For this simplifying radical expressions worksheet, students solve 18 short answer problems. Students multiply and simplify radical expressions involving integers and rational numbers.
Curated OER
Rational Numbers as Exponents
In this algebra worksheet, young scholars rewrite 3 radical expressions as exponential notation. They change 6 quantities with fraction exponents into equivalent radical expressions. Students write three exponential expressions,...
Curated OER
Expressions Containing Several Radical Terms
In this algebra worksheet, students add 5 expressions with radical signs. In 6 problems, students multiply with radicals over parenthesis. The final 4 problems require students to rationalize the denominator and divide.
EngageNY
Advanced Factoring Strategies for Quadratic Expressions (part 2)
What do you do with a difficult-to-factor quadratic expression? This lesson plan provides the answer. Pupils learn a grouping strategy to help factor trinomials. When guess and check seems too tedious, this method is the "works...
Curated OER
Rational Equations
In this algebra worksheet, students find the common denominator for 8 problems so they can solve for x. The rational equations include binomial expressions as denominators for 5 of the problems.
Curated OER
Integrals by Partial Fractions
Students integrate integrals by the method of partial fractions. They then decompose fractions into two or more fractions to make them simpler rational expressions so that they can apply the basic integration formulas. Students also...
Curated OER
Proposed Problems
In this math worksheet, students find the solutions to the problems that involve solving equations with and without rational expressions.
Curated OER
Senior Analysis
A good review worksheet on simplifying rational expressions, solving equations with factorials, solving problems on permutations and combinations, and using the Binomial Theorem.
Curated OER
Watch Your P' and Q's
Pupils solve polynomial functions by graphing. They factor rational expressions to find the roots of the equation and apply the rational zero theorem to find the zeros of a polynomial.