Solutions to Practice #2

For each collection of symbols below, determine if it is an algebraic term, expression, equation, or none of these. Explain your answer.

1. 7.5xy
   Term — This is a product of a constant, 7.5, and the variables x and y.
2. 19p + 20q
   Expression — Here we have the addition of two terms, 19p and 20q.
3. ½ xy
   Term — this is a product of a constant, ½, and the variables x and y.
4. ½ xy = q
   Equation — This is two expressions set equal to one another. Each expression consists of a single term.
5. 10xy = 15x⁴y – 9
   Equation — Here we have two expressions set equal to one another. The expression on the left side of the equation is a single term, 10xy. The expression on the right side of the equation contains two terms, 15x⁴y and – 9.
6. –10 + k – 10q ¸ 12
   Expression — This expression contains 4 terms, –10, k, – 10q, and 12. The operations of addition, subtraction, and division are present in this expression.

NOTE: The practices in this unit do not have detailed solutions. If you got each item on this practice correct, move on to the next unit. If you had any problems with this practice, you may need more review than is offered in this tutorial. In this case you should contact your instructor for where to find help.

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