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Fundamentals of Mathematics, 2008a

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676 CHAPTER 11. ALGEBRAIC EXPRESSIONS AND EQUATIONS<br />

Exercise 11.9.43 (Solution on p. 690.)<br />

− (a − b), if a = 0 and b = −6<br />

Exercise 11.9.44<br />

− (x − x − y), if x = 4 and y = −4<br />

Exercise 11.9.45 (Solution on p. 690.)<br />

(y + 2) 2 − 6 (y + 2) − 6, if y = 2<br />

Exercise 11.9.46<br />

(a − 7) 2 − 2 (a − 7) − 2, if a = 7<br />

11.9.1.2 Combining Like Terms Using Addition and Subtraction (Section 11.3)<br />

For problems 47-56, simplify each expression by combining like terms.<br />

Exercise 11.9.47 (Solution on p. 690.)<br />

4a + 5 − 2a + 1<br />

Exercise 11.9.48<br />

7x + 3x − 14x<br />

Exercise 11.9.49 (Solution on p. 690.)<br />

−7b + 4m − 3 + 3n<br />

Exercise 11.9.50<br />

−9k − 8h − k + 6h<br />

Exercise 11.9.51 (Solution on p. 690.)<br />

−x + 5y − 8x − 6x + 7y<br />

Exercise 11.9.52<br />

6n − 2n + 6 − 2 − n<br />

Exercise 11.9.53 (Solution on p. 690.)<br />

0m + 3k − 5s + 2m − s<br />

Exercise 11.9.54<br />

| −8 | a+ | 2 | b− | −4 | a<br />

Exercise 11.9.55 (Solution on p. 690.)<br />

| 6 | h− | −7 | k+ | −12 | h+ | 4 | · | −5 | h<br />

Exercise 11.9.56<br />

| 0 | a − 0a + 0<br />

11.9.1.3 Equations <strong>of</strong> the Form ax = b and x a<br />

= b, Translating Words to Mathematical Symbols<br />

, and Solving Problems (Section 11.5,Section 11.6,Section 11.7)<br />

For problems 57-140, solve each equation.<br />

Exercise 11.9.57 (Solution on p. 690.)<br />

x + 1 = 5<br />

Exercise 11.9.58<br />

y − 3 = −7<br />

Exercise 11.9.59 (Solution on p. 690.)<br />

x + 12 = 10<br />

Exercise 11.9.60<br />

x − 4 = −6<br />

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