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**Extra resources for 1001 Algebra Problems - Learning Express Editors**

**Sample text**

86 d. 8 7b – 4 170. Solve the following equation for b: a = ᎏ4ᎏ a. b. c. d. e. 20 a ᎏᎏ 7 4a ᎏᎏ 7 a+1 ᎏᎏ 7 4a + 4 ᎏᎏ 7 7a – 4 ᎏᎏ 7 c. 8 ᎏᎏ 3 d. 9 174. Convert 50˚ Fahrenheit into degrees Celsius 9 using the formula F = ᎏ5ᎏC + 32. a. 45˚C b. 2˚C c. 10˚C d. 122˚C 175. 5% decrease in its value is the number 93. a. 27 b. 114 c. 115 d. 120 –LINEAR EQUATIONS AND INEQUALITIES– 176. Negative four is multiplied by the quantity x + 8. If 6x is then added to this, the result is 2x + 32. What is the value of x?

B. c. 16 d. 24 e. 45 154. What value of x satisfies the equation ᎏxᎏ 2 a. + ᎏ16ᎏx = 4? ᎏ21ᎏ 4 1 ᎏ6ᎏ b. c. 3 d. 6 155. What value of b satisfies the equation b – ᎏ52ᎏ = –ᎏ23ᎏ? a. –ᎏ11ᎏ06 b. –3 c. d. 18 5 ᎏ1ᎏ 11 ᎏ8ᎏ 3 ᎏ53ᎏ 1 ᎏ16ᎏ –LINEAR EQUATIONS AND INEQUALITIES– 156. What value of c satisfies the equation 3c ᎏ4ᎏ – 9 = 3? a. 4 b. 12 c. 16 d. 20 157. What value of a satisfies the equation –ᎏ23ᎏa = –54 ? a. –81 b. 81 c. –36 d. 36 158. 2 – 3x? a. 3 b. 3 c. 3 d. 3 Set 11 (Answers begin on page 164) This problem set is focused on linear equations for which obtaining the solution requires multiple steps.

1 c. 2 d. more than 2 216. How many different values of x satisfy the equation |2x + 1| = |4x – 5|? a. 0 b. 1 c. 2 d. 3 217. What is the solution set for |x| Ͼ 3? a. b. c. d. (3, ϱ) (–3, ϱ) (–3, 3) (–ϱ, –3) ʜ (3, ϱ) 218. What is the solution set for |–2x| Ͼ 0? a. b. c. d. (–ϱ, 0) ʜ (0, ϱ) the set of all real numbers (–ϱ, 0) The solution set is the empty set. 219. What is the solution set for –|–x –1| Ն 0? a. b. c. d. (–ϱ, 1) ʜ (1, ϱ) (–ϱ, –1) ʜ (–1, ϱ) The only solution is x = –1. The solution set is the empty set.