Intermediate Algebra
Intermediate Algebra
5th Edition
ISBN: 9781259610233
Author: Julie Miller, Molly O'Neill, Nancy Hyde
Publisher: McGraw-Hill Education
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Chapter R4, Problem 1PE
To determine

The correct word or phrase to fill the blank.

Expert Solution & Answer
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Answer to Problem 1PE

Solution:

  (a) Given the expression 8x+cd3y+90 , the terms 8x,cdand3y are variable terms, whereas 90 is a constant term.

  (b) The constant factor in a term is called the coefficient.

  (c) Given the expression x , the value of the coefficient is 1 , and the exponent is 1.

  (d) Terms that have the same variables, with corresponding variables raised to the same powers are called liketerms.

Explanation of Solution

Given:

  (a) Given the expression 8x+cd3y+90 , the terms 8x,cdand3y are variable terms, whereas 90 is a ______ term.

  (b) The constant factor in a term is called the ______

  (c) Given the expression x , the value of the coefficient is ______, and the exponent is ______.

  (d) Terms that have the same variables, with corresponding variables raised to the same powers are called ______ terms.

Calculation:

To fill the given blanks with appropriate words, we will use below concepts:

A term is a constant or the product of a constant and one or more variables. For example, in the expression 7x2+2xy+5 , 7x2,2xy&5 are terms.

The terms 7x2,2xy are variables terms whereas 5 is a constant.

The constant factor in a term is called coefficient of the term.

Like terms are terms that contain the same variables raised to the same power. Only the numerical coefficients are different. In an expression, only like terms can be combined.

Basis the above concepts, we can fill the blanks with appropriate word.

  (a) Given the expression 8x+cd3y+90 , the terms 8x,cdand3y are variable terms, whereas 90 is a constantterm.

  (b) The constant factor in a term is called the coefficient

  (c) Given the expression x , the value of the coefficient is 1 , and the exponent is 1.

  (d) Terms that have the same variables, with corresponding variables raised to the same powers are called liketerms.

Conclusion:

Basis the concepts of terms, factors and the coefficient, we could fill the blanks.

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Chapter R4 Solutions

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