Chapter 0.1 1. Find the solution set of the equation. –12x – 45 = 19 – 16x A) {16} B) {64} C) {–28} D) {60} Ans: A Learning Objective: Solve linear equations in one variable.Solve linear equations in one variable.Solve linear equations in one variable. 2. Find the solution set of the equation. 30c + 2 = 11 + 25c A) {13/55} B) {42} C) {9/5} D) {68} Ans: C Learning Objective: Solve linear equations in one variable. 3. Find the solution set of the equation. 2(x – 1) – 4 = x – 4(x – 3) A) {5/18} B) {2/5} C) {18/5} D) {5/2} Ans: C Learning Objective: Solve linear equations in one variable. 4. Solve for the indicated variable. 31 – [2 + 8x – 11(x + 1)] = 8(1x + 7) – [4(7x – 1) + 7 – 25x] Ans: –5 / 2 Learning Objective: Solve linear equations in one variable. 5. Find the solution set of the equation. 5n 8 15 2n Ans: {1} Learning Objective: Solve linear equations in one variable. 6. Find the solution set of the equation. 18c + 64 12 –17c Ans: –52 / 35 Learning Objective: Solve linear equations in one variable. 7. Find the solution set of the equation. – x + 5(3x + 2) 7( x – 22) –18 x Ans: –164 / 25 Learning Objective: Solve linear equations in one variable. Page 1 Chapter 0.1 8. Clear the fractions by first multiplying by the least common denominator, and then find the solution set of the equation. p 7p 5 5 6 A) {–5/6} B) {1/10} C) {10} D) {–150 / 29} Ans: D Learning Objective: Solve linear equations in one variable. 9. Clear the fractions by first multiplying by the least common denominator, and then find the solution set of the equation. 8p 2p 22 9 5 Ans: {–45} Learning Objective: Solve linear equations in one variable. 10. Clear the fractions by first multiplying by the least common denominator, and then find the solution set of the equation. 1 1 x x6 4 2 A) {–8} B) 1 8 C) {8} D) 1 –8 Ans: C Learning Objective: Solve linear equations in one variable. 11. When traveling in London, Cindy decided to check her e-mail at an internet cafй. There was a flat charge of $4.5 plus a charge of 22 cents a minute. How many minutes was she logged on if her bill was $11.54? Ans: 32 minutes Learning Objective: Solve application problems involving linear equations. 12. The perimeter, P, of a rectangle is the distance around it, and can be found by solving the formula P = 2l + 2w, where l is the length and w is the width. What is the length of a rectangle whose perimeter is 30 inches and whose width is 4 inches? A) 15 inches B) 11 inches C) 22 inches D) 7.5 inches Ans: B Learning Objective: Solve application problems involving linear equations. Page 2 Chapter 0.1 13. The perimeter, P, of a rectangle is the distance around it, and can be found by solving the formula P = 2l + 2w, where l is the length and w is the width. What is the length of a rectangle whose perimeter is 150 inches and whose width is 45 inches? Ans: 30 inches Learning Objective: Solve application problems involving linear equations. 14. The area, A, of a rectangle is the amount of two-dimensional space it takes up and can be found by solving the formula A = lw, where l is the length and w is the width. What is the length of a rectangle whose area is 45 square inches and whose width is 9 inches? A) 36 inches B) 27 inches C) 9 inches D) 5 inches Ans: D Learning Objective: Solve application problems involving linear equations. 15. Clear the fractions by first multiplying by the least common denominator, and then find the solution set of the equation. 23 y 19 y 3 10 y + – – 14 8 7 Ans: –24 / 785 Learning Objective: Solve linear equations in one variable. 16. Clear the fractions by first multiplying by the least common denominator, and then find the solution set of the equation. c – 2 c+9 c –1 – –13 + 8 6 7 Ans: 1914 / 31 Learning Objective: Solve linear equations in one variable. 17. A company has a total of $33,265 allocated for monthly costs. Fixed costs are $13,400 per month and variable costs are $29 per unit. How many units can be manufactured in a month? Ans: 685 units Learning Objective: Solve application problems involving linear equations. 18. Jay and Morgan can deliver Coke products to local stores. Jay can do the job in 8 hours alone. Morgan can do the same job in 13 hours alone. If they work together, how long will it take? Ans: 104 / 21 hours Learning Objective: Solve application problems involving linear equations. Page 3 Chapter 0.1 19. For a certain experiment, a student requires 1190 ml of a solution that is 3% salt. The storeroom has only solutions that are 2% salt and 19% salt. How many milliliters of each available solution should be mixed to get 1190 ml of 3% salt. Ans: 1120 ml of 2% salt and 70 ml of 19% salt Learning Objective: Solve application problems involving linear equations. 20. Ashley has $3,300 to invest and decides to put in a CD that earns 5% per year and the rest in a low-risk stock that earns 5.5%. How much did she invest in each to earn $175.5 interest in the first year? Ans: $1,200 in the CD and $2,100 in the low-risk stock Learning Objective: Solve application problems involving linear equations. 21. A Cessna 175 can average 172 mph. The plane makes a trip in 3.25 hours. The return trip takes 2.5 hours. What is the speed of the wind? Round to the nearest tenth. Ans: 22.4 mph Learning Objective: Solve application problems involving linear equations. 22. A company has a total of $11,250 allocated for monthly costs. Fixed costs are $6,850 a month and variable costs are $7 per unit. How many units can be manufactured a month? A) 1,607 B) 979 C) 629 D) 2,586 Ans: C Learning Objective: Solve application problems involving linear equations. 23. Lacie decides to start a small business making monogrammed towels. She can set aside $3,220 for monthly costs. Fixed costs are $2,000 per month and variable costs are $7 per set of towels. How many sets of towels can she afford to make per month? A) 745 B) 460 C) 285 D) 174 Ans: D Learning Objective: Solve application problems involving linear equations. 24. Jessica has $14500 to invest and decides to put some in a CD that earns 1.5% interest per year and the rest in a low risk stock that earns 1.8%. How much did she invest to earn $247.65 interest in the first year? A) $7,504.55 at 1.5% and $6,995.45 at 1.8% B) $10,050 at 1.5% and $4,450.00 at 1.8% C) $4,450.00 at 1.5% and $10,050 at 1.8% D) $6,995.45 at 1.5% and $7,504.55 at 1.8% Ans: C Learning Objective: Solve application problems involving linear equations. Page 4 Chapter 0.1 25. A motorboat can maintain a constant speed of 11 miles per hour relative to the water. The boat makes a trip upstream in 41 minutes and the return trip takes 22 minutes. What is the speed of the current? A) 0.3 mph B) 11 mph C) 3.3 mph D) 22 mph Ans: C Learning Objective: Solve application problems involving linear equations. 26. Lee can mow a lawn in 30 minutes. It takes Ito 50 minutes to mow a lawn of the same size. How long would it take them to mow the lawn if they work together? A) 40.0 minutes B) 20 minutes C) 18.7 minutes D) 80 minutes Ans: C Learning Objective: Solve application problems involving linear equations. 27. The length of a rectangle is 5 feet more than 5 times its width. The perimeter of the rectangle is 202 feet. What is the length of the rectangle? Ans: 85 feet Learning Objective: Solve application problems involving linear equations. Page 5