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Name: Date: Lesson 26 Part 1 Variable Expressions A variable is a _______________________________________________________________ The most commonly used variable is the letter x, although other letters or symbols can be used. An expression is a______________________________________________________________ ______________________________________________________________________________ One example of a variable expression is 4xy3 This variable contains two variables: x and y. Both variables represent ____________________. This expression also contains some "hidden" multiplication. If numbers or letters are written next to each other without an operation sign, the operation is understood to be multiplication. So the expression 4xy3 can be translated to the following words: four times x times y to the third power 4×x×y3 Consider this expression: -2x2 − 10 How could you write the expression in words? Write the words below. Now you will reverse the process. Sometimes you will have to translate words into an expression. For example, consider these words: three times x plus 4. Here is the translation: three times x → ____________ plus 4 → ________________ The expression is________________________ Name: Date: Lesson 26 Part 1 Got it? Now try some translations on your own. In the space below each set of words that follows, write the equivalent mathematical expression. a) six times y plus x to the fourth power b) negative five minus x to the third power c) x squared plus y Monomials Each expression has at least one term. A term is a ____________________________________ _____________________________________________________________________________ A term can have variables and numbers but can be connected only by multiplication. Addition, subtraction, or division symbols indicate the end of one term and the start of another. Look at the expression below. 2y + 3x How many terms does it have? The expression contains two terms, each separated by an addition sign. 2y is the ___________________ 3x is the_____________________ How many terms does the following expression have? 12x3y2z Did you recognize that there is only one term because there is only one operation, multiplication? Good job. Expressions that have only one term are called _____________________________________. Name: Date: Lesson 26 Part 1 Example 1 Determine if each expression is a monomial. Circle yes or no and explain why or why not. a) 6b4 ÷ 3a2 Explanation: b) - 13xy3 Explanation: