Chapter 1 - XYZ Custom Plus

Chapter PretestTranslate into symbols. [1.1]1. The difference of 15 and x is 12. 15 − x = 12 2. The product of 6 and a is 30. 6a = 30Simplify according to the rule for order of operations. [1.1]3. 10 + 2(7 − 3) − 4 2 2 4. 15 + 24 ÷ 6 − 3 2 10For each number, name the opposite, reciprocal, and absolute value. [1.2]5. −6 6, −​ 1_ 6 ​, 6 6. ​5 _3 ​ −​5_ 3 ​, ​3_ 5 ​, ​5_ 3 ​Add. [1.3] Subtract. [1.4]7. 5 + (−8) −3 8. ​| −2 + 7 |​ + ​| −3 + (−4) |​ 12 9. −7 − 4 −11 10. 5 − (6 + 3) − 3 −7Multiply. [1.6]11. 7(−4) −28 12. 3(−4)(−2) 24 13. 9 ​ − ​ 1 _3 ​ ​ −3 14. ​ −​ 3 _32 ​ ​​ −​ _ 278 ​Simplify using the rule for order of operations. [1.1, 1.6, 1.7]15. −2(3) − 7 −13 16. 2(3) 3 − 4(−2) 4 __−4(3) + 5(−2) ___4(3 − 5) − 2(−6 + 8)−10 17. ​ ​ 2 18. ​ ​ −6−5 − 64(−2) + 10Apply the associative property, and then simplify. [1.5, 1.6]19. 5 + (7 + 3x) 12 + 3x 20. 3(−5y) −15yMultiply by applying the distributive property. [1.5, 1.6]21. −5(2x − 3) −10x + 15 22. ​_1 ​( 6 x + 12) 2x + 43From the set of numbers {−3, − ​ 1_ 2 ​, 2, ​√— 5 ​, π} list all the elements that are in the following sets. [1.8]23. Integers−3, 224. Rational numbers 25. Irrational numbers−3, −​ 1_ 2 ​, 2 ​√ — 5 ​, π26. Real numbers−3, −​ 1_ 2 ​, 2, ​√— 5 ​, πGetting Ready for Chapter 1To get started in this book, we assume that you can do simple addition and multiplication problems with wholenumbers and decimals. To check to see that you are ready for this chapter, work each of the problems below.1. 5 ⋅ 5 ⋅ 51252. 12 ÷ 433. 1.7 − 1.20.54. 10 − 9.50.55. 7(0.2)1.46. 0.3(6)1.87. 14 − 958. 39 ÷ 1339. 5 ⋅ 94510. 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 23211. 15 + 142912. 28 ÷ 7413. 26 ÷ 21314. 125 − 814415. 630 ÷ 631016. 210 ÷ 102117. 2 ⋅ 3 ⋅ 5 ⋅ 721018. 3 ⋅ 7 ⋅ 1123119. 2 ⋅ 3 ⋅ 3 ⋅ 5 ⋅ 763020. 24 ÷ 832Chapter 1 The Basics