Algebra practice problems pdf

The distributive property is an important skill to have in algebra. In simple terms, it means that you can split one of the factors in multiplication into addends, multiply each addend separately, add the results, and you will end up with the same answer. It is also useful in mental math, and example of which should help illustrate the definition. In algebra, the distributive property becomes useful in cases where one cannot easily add the other factor before multiplying.

As the title says, these worksheets include only basic exponent rules questions. Each question only has two exponents to deal with; complicated mixed up terms and things that a more advanced student might work out are left alone. Linear equations worksheets including simplifying, graphing, evaluating and solving systems of linear equations.

Knowing the language of algebra can help to extract meaning from word problems and to situations outside of school. In these worksheets, students are challenged to convert phrases into algebraic expressions.

Combining like terms is something that happens a lot in algebra. Students can be introduced to the topic and practice a bit with these worksheets. The bar is raised with the adding and subtracting versions that introduce parentheses into the expressions.

For students who have a good grasp of fractions, simplifying simple algebraic fractions worksheets present a bit of a challenge over the other worksheets in this section. Graphing linear equations and reading existing graphs give students a visual representation that is very useful in understanding the concepts of slope and y-intercept.

Solving linear equations with jelly beans is a fun activity to try with students first learning algebraic concepts. Ideally, you will want some opaque bags with no mass, but since that isn't quite possible the no mass part , there is a bit of a condition here that will actually help students understand equations better. Any bags that you use have to be balanced on the other side of the equation with empty ones.

Probably the best way to illustrate this is through an example. You may recognize the x as the unknown which is actually the number of jelly beans we put in each opaque bag. The 3 in the 3 x means that we need three bags. It's best to fill the bags with the required number of jelly beans out of view of the students, so they actually have to solve the equation. On the other side of the balance, place 14 jelly beans and three empty bags which you will note are required to "balance" the equation properly.

Now comes the fun part Eating the jelly beans is optional. The goal is to isolate the bags on one side of the balance without any loose jelly beans while still balancing the equation. The last step is to divide the loose jelly beans on one side of the equation into the same number of groups as there are bags.

This will probably give you a good indication of how many jelly beans there are in each bag. If not, eat some and try again. Now, we realize this won't work for every linear equation as it is hard to have negative jelly beans, but it is another teaching strategy that you can use for algebra. Instead, they belong to a different kind of equations.

They are good for combining them with linear equations, since they introduce the concept of valid and invalid answers for an equation what will be later called the domain of a function. Quadratic expressions and equations worksheets including multiplying factors, factoring, and solving quadratic equations. The factoring quadratic expressions worksheets in this section provide many practice questions for students to hone their factoring strategies. If you would rather worksheets with quadratic equations, please see the next section.

These worksheets come in a variety of levels with the easier ones are at the beginning. There are also worksheets in this section for calculating sum and product and for determining the operands for sum and product pairs.

Whether you use trial and error, completing the square or the general quadratic formula, these worksheets include a plethora of practice questions with answers. In the first section, the worksheets include questions where the quadratic expressions equal 0. This makes the process similar to factoring quadratic expressions, with the additional step of finding the values for x when the expression is equal to 0. In the second section, the expressions are generally equal to something other than x, so there is an additional step at the beginning to make the quadratic expression equal zero.

Inequalities worksheets including writing the inequality that matches a graph and graphing inequalities on a number line. Algebra Worksheets. Most Popular Algebra Worksheets this Week. Inverse relationships with two blanks. Missing Numbers Worksheets with Blanks as Unknowns. Missing Numbers Worksheets with Symbols as Unknowns. Missing Numbers Worksheets with Variables as Unknowns. Equalities with addition on both sides of the equation and symbols as unknowns.

Translating algebraic phrases in words to algebraic expressions. Simplifying linear expressions combining like terms. Determining linear equations from slopes, y-intercepts, and points. Solving systems of linear equations by graphing. Simplifying quadratic expressions combining like terms. Multiplying factors of quadratic expressions. Solving Quadratic equations that Equal Zero e. Solving Quadratic equations that Equal an Integer e. Simplifying polynomials that involve addition and subtraction.

Simplifying polynomials that involve multiplication and division. Simplifying polynomials that involve addition, subtraction, multiplication and division. Factoring expressions that do not include a squared variable. Factoring expressions that always include a squared variable. Factoring expressions that sometimes include squared variables. Integer Exponents — In this section we will start looking at exponents. We will give the basic properties of exponents and illustrate some of the common mistakes students make in working with exponents.

Examples in this section we will be restricted to integer exponents. Rational exponents will be discussed in the next section. Rational Exponents — In this section we will define what we mean by a rational exponent and extend the properties from the previous section to rational exponents. We will also discuss how to evaluate numbers raised to a rational exponent.

Radicals — In this section we will define radical notation and relate radicals to rational exponents. We will also give the properties of radicals and some of the common mistakes students often make with radicals.

We will also define simplified radical form and show how to rationalize the denominator. Polynomials — In this section we will introduce the basics of polynomials a topic that will appear throughout this course.

We will define the degree of a polynomial and discuss how to add, subtract and multiply polynomials.