By Ignacio Bello, Fran Hopf

Intermediate Algebra prepares scholars for extra classes within the collage math curriculum. scholars of all backgrounds can be overjoyed to discover a fresh publication that appeals to each studying type and reaches out to different demographics. via down-to-earth factors, sufferer skill-building, and exceedingly fascinating and lifelike purposes, this worktext will empower scholars to benefit and grasp algebra within the actual international.

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**Example text**

Use the sign of the number with the greater absolute value for the result obtained in step 2. If zero is added to any number a, the result is the number a. Thus, 3 ϩ 0 ϭ 3 and 0 ϩ }12 ϭ }12. The number 0 is called the identity for addition or the additive identity. 1 ϭ 0. Thus when opposites (additive inverses) are added, their sum is zero. ADDITIVE INVERSES (OPPOSITES) EXAMPLE 1 For any real number a, a ϩ (Ϫa) ϭ (Ϫa) ϩ a ϭ 0. PROBLEM 1 Adding signed numbers Add: Add: a. Ϫ5 ϩ (Ϫ11) 4 4 d. } 5 ϩ Ϫ} 5 ͑ ͒ b.

3) ϩ 4 b. Ϫ10 ? (3 ϩ 4) 2. a. (6 ? 4) ϩ 6 b. 6 ? (4 ϩ 6) 5. [Ϫ5 ? (8 ϩ 2)] ϩ 3 6. [7 ? (4 ϩ 3)] ϩ 1 9. [Ϫ6 ? (4 Ϫ 2)] Ϫ 3 10. [Ϫ2(7 Ϫ 5)] Ϫ 8 13. Ϫ8[3 Ϫ 2(4 ϩ 1)] ϩ 1 ͓ ͔͓ 9 Ϫ (Ϫ3) 3 ϩ (Ϫ8) 17. } } 8Ϫ6 7Ϫ2 ͑ ͒ 14. 6[7 Ϫ 2(5 Ϫ 7)] Ϫ 2 ͑ 3. a. (36 Ϭ 4) ? 3 b. 36 Ϭ (4 ? 3) 4. a. (Ϫ28 Ϭ 7) ? 2 b. Ϫ28 Ϭ (7 ? 2) 7. Ϫ7 ϩ [3 ? (4 ϩ 5)] 8. Ϫ8 ϩ [3 ? (4 ϩ 1)] 11. 3 Ϫ [8 ? (5 Ϫ 3)] 12. 7 Ϫ [3(4 Ϫ 5)] 15. 48 Ϭ {4(8 Ϫ 2[3 Ϫ 1])} ͓ ͔ ͔͓ 6 ϩ (Ϫ2) 8 ϩ (Ϫ12) 18. } } 3 ϩ (Ϫ7) (2 Ϫ 4 ͑ 16. Ϫ96 Ϭ {4(8 Ϫ 2[1 Ϫ 3])} ͔ ͒ ͒ 9 Ϫ 15 8ϩ2 } 3Ϫ1 Ϫ2 20.

3, 6, 9, . } 117. {3, 6, 10, 15, . } 118. Classify the numbers in the following set as rational, Q, or irrational, H. 010010001 . . ͖ ͕} 7 Fill in the blank with , or . so that the result is a true statement: 1 119. } 3 VVV 120. 331332333334 . . 22 } 7 Skill Checker Perform the indicated operations. 7 31} 121. } 5 5 1 32} 127. } 2 3 3 1 } 122. } 414 3 2 } 128. } 425 1 52} 123. } 8 8 2 5ؒ} 129. } 9 7 4 3 124. } 72} 7 4 } 5 130. } 3ؒ3 3 71} 125. } 8 4 2 5ؒ} 131. } 7 15 5 7 } 126. } 613 3 2 } 132.