Test 125 09 3x 0 1 1 96. The Neilsen ratings estimated that the percent, 2 05.2x 7.8 0 6 13 02.5x 15 0 6 7 03x 8 0 6 1 0x 5 0 6 4 Chapter 1 Test For Exercises 1–9, solve the equations. 1. 2. 3. 4. 5. 6. 7. 8. 9. x 7 1 20 8 514 3z2 214 z2 8z 0.121x2 0.08160,000 x2 10,500 5 x 6 2x 3 2 ` 1 2 x 3 ` 4 4 03x 4 0 0x 12 0 x 3 5 8 0 2y 3 0 03.7x 5 0 7 6.2 08x 11 0 08x 5 0 10. Label each equation as a conditional equation, an identity, or a contradiction. a. 15x 92 19 51x 22 b. 2a 211 a2 5 c. 14w 32 4 315 w2 11. The difference between two numbers is 72. If the larger is 5 times the smaller, find the two numbers. 12. Joëlle is determined to get some exercise and walks to the store at a brisk rate of 4.5 mph. She meets her friend Yun Ling at the store, and together they walk back at a slower rate of 3 mph. Joëlle’s total walking time was 1 hr. a. How long did it take her to walk to the store? b. What is the distance to the store? 13. Shawnna banks at a credit union. Her money is distributed between two accounts: a certificate of deposit (CD) that earns 5% simple interest and a savings account that earns 3.5% simple interest. Shawnna has $100 less in her savings account than in the CD. If after 1 year her total interest is $81.50, how much did she invest in the CD? 14. A yield sign is in the shape of an equilateral triangle (all sides have equal length). Its perimeter is 81 in. Find the length of the sides. 15. The sum of three consecutive odd integers is 41 less than four times the largest. Find the numbers. 16. How many gallons of a 20% acid solution must be mixed with 6 gal of a 30% acid solution to make a 22% solution? For Exercises 17–18, solve the equations for the indicated variable. 17. 4x 2y 6 for y 18. x m zs for z 89. 90. 91. 92. 93. 94. State one possible situation in which an absolute value inequality will have no solution. 95. State one possible situation in which an absolute value inequality will have a solution of all real numbers. p, of the television viewing audience watching American Idol was 20% with a 3% margin of error. Solve the inequality and interpret the answer in the context of this problem. 97. The length, L, of a screw is supposed to be 14 38 Due to variation in the production equipment, there is a 4-1 0L in. margin of error. Solve the inequality 0 3 and interpret the answer in the context of this problem. 338 in. 0p 0.20 0 0.03
miller_intermediate_algebra_4e_ch1_3
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