Page 588 - Basic College Mathematics with Early Integers

Vocabulary and Readiness Check

Use the choices below to fill in each blank. Some choices may be used more than once.

numerical coefficient combine like terms like term variable associative
constant expression unlike distributive commutative
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2
1. 14y + 2x - 23 is called a(n) while 14y , 2x , and -23 are each called a(n)
.
2. To multiply 3(-7x + 1) , we use the property.
3. To simplify an expression like y + 7y , we .
4. By the properties, the order of adding or multiplying two numbers can be changed without
changing their sum or product.
5. The term 5x is called a(n) term while the term 7 is called a(n) term.
6. The term z has an understood of 1.
7. By the properties, the grouping of adding or multiplying numbers can be changed without
changing their sum or product.
8. The terms -x and 5x are terms.
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9. For the term -3x y , -3 is called the .
10. The terms 5x and 5y are terms.

Identify each pair of terms as like terms or unlike terms.
11. 5x and 5y 12. -3a and -3b 13. x and -2x 14. 7y and y

15. -5n and 6n 2 16. 4m 2 and 2m 17. 8b and -6b 18. 12a and -11a

8.1 Exercise Set FOR EXTRA HELP

Objective Evaluate each expression when x =-2, y = 5, and z =-3. See Examples 1 through 4.

1. 3 + 2z 2. 7 + 3z 3. -y - z 4. -y - x

5. z - x + y 6. x + y - z 7. 3x - z 8. y + 5z

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2
9. 8 - 15y - 72 10. 5 + 12x - 12 11. y - 4x 12. y - 2z
6xy 8yz 2y - 2 6 + 3x
13. 14. 15. 16.
4 15 x z

x + 2y 2z - y 5x 3y
17. 18. 19. - 10 20. 7 -
2z 3x y z

xz 3 x 31
21. + 22. + 23. ƒxƒ - ƒyƒ - 7.6 24. ƒzƒ - ƒyƒ - 12.7
y 10 yz 30
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