100 Chapter 2 Linear Equations and Inequalities in One Variable Calculate It! Use a graphing calculator to determine if the given number is in the solution set of the inequality. 101. 12x - 15 ≤ 16 - 25x; 13 102. 17x - 3 ≥ 10 + 6x; -2 103. 3 5 (4x - 7) > 5 3 (2x + 5); -15 104. 1 6 (8 - 9x) < 3 4 (7x + 13); 15 PIECE IT TOGETHER SECTIONS 2.1–2.4 Solve each equation and check the answer. (See Section 2.1, Objectives 2–6.) 1. 7x 3 - x 2 = 5 6 2. 12 - (1 - 4x) = 4(x + 1) 3. 6(x - 1) - 3x = 2x - 17 4. 7(x - 2) - 3x = 2(2x - 7) Translate each problem into a linear equation and solve. (See Section 2.2, Objective 1, and Section 2.3, Objectives 1–3.) 5. Eight less than twice a number yields 50. Find the number. 6. Twice the sum of two consecutive even integers is 52. Find the integers. 7. Bao invests a total of $5000 in two banks. The amount she invests in the first bank is $800 more than half of the amount she invests in the second bank. How much does Boa invest in each bank? 8. Find the measure of an angle whose complement is 30° more than four times the measure of the angle. 9. Find the measure of an angle whose supplement is 63° more than twice the measure of the angle. 10. Find the height of a triangle whose area is 108 ft2 and whose base is 9 ft. 11. The length of a rectangle is 2 ft more than three times its width. If the perimeter is 200 ft, find the length and width of the rectangle. Solve each formula for the specifi ed variable. (See Section 2.3, Objective 4.) 12. 2 3 a = b - 2cd for c 13. A = P + Prt for r Solve each inequality. Graph the solution set and write the solution set in interval notation and set-builder notation. (See Section 2.4, Objectives 1 and 2.) 14. 1 2 (x - 4)<-x + 5 15. 4(8 - 7x) < 6(1 + 3x)
hendricks_intermediate_algebra_1e_ch1_3
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