# Writing algebraic expressions practice problems

Explain how you would set up a simple expression to represent the cost of one item. The first is to be able to use the distributive property. The second math concept that you must understand is how to combine like terms.

Simplifying Algebraic Expressions - Practice Problems. Now that you've studied the three detailed examples for Simplfying Algebraic Expressions, you are ready to try some on your own! If you haven't studied this lesson yet, click here. Be very careful as you simplify your terms and make sure that you always take the sign in front of the term as you move things around! problems, students write and use algebraic expressions to represent given contexts. Students are introduced to the terminology “evaluating an algebraic expression” and will practice this skill in the. urbanagricultureinitiative.com Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

Before we dive into analyzing "like terms", let's first discuss what a term is and the vocabulary associated with terms. What is a Term? Take a look at these three terms. The 7 does not have a variable. It is called a constant. Since it doesn't have a variable, its' value will always remain the same, 7.

That's why it is called a constant. The 2 in the term 2x is called a coefficient. A coefficient is a number by which a variable is multiplied. The 5 in the term 5y is also a coefficient. So, now you know what these important vocabulary words mean: A constant is a term that is just a number, it does not contain a variable.

A coefficient is the number that you multiply by a variable. What Are Like Terms? Let's take these six terms above as our examples. The coefficients do not have to be the same, just the variables!

For example, for the 6 terms above, 2x and 3x are like terms because they both just contain an x.

## What Are Like Terms?

Can you find the other set of like terms? Yes, 7 and 9 are like terms. Neither of them have a variable and that is what makes them like terms. We are going to simplify each expression by combining like terms.

Tip for Combining Like Terms Each term is separated by a plus sign or a minus sign. When you combine like terms, you MUST take the sign in front of the term with it or your answer may be incorrect! Example 1- Combining Like Terms I like to rewrite my like terms together. I feel that it makes it easier to compute and will help you to not lose your sign when you a lot of terms to combine.

Ok, are you confident enough to use the distributive property when simplifying algebraic expressions? Sure you are, let's go! If you see an addition or subtraction problem inside a set of parenthesis, you must use the distributive property BEFORE simplifying the expression.

As you review the next example, notice how the distributive property was used first, then the algebraic expression was simplified. Example 3 - Using the Distributive Property OkAlgebraic ExpressionsAlgebraic Expressions Copyright© urbanagricultureinitiative.com Practice Problems After viewing the video tutorials and taking notes, you will have the.

Day One Translating Words Into Numerical Expressions Vocabulary Review: Numerical Expression. Translate Verbal Phrases into Expressions Add Subtract Multiply Division Did you write an ALGEBRAIC EXPRESSION for each problem?

If so, you should have used a variable! 12 Students will solve real-world problems using variables in algebraic expressions and equations.  