Linear Equations and Inequalities - XYZ Custom Plus

Chapter PretestSimplify each of the following expressions. [2.1]1. 5y − 3 − 6y + 4−y + 12. 3x − 4 + x + 34x − 13. 4 − 2(y − 3) − 6−2y + 44. 3(3x − 4) − 2(4x + 5)x − 225. Find the value of 3x + 12 + 2x when x = −3. [2.1] −3 6. Find the value of x 2 − 3xy + y 2 when x = −2 andy = −4. [2.1] −4Solve the following equations. [2.2, 2.3, 2.4]_7. 3x − 2 = 7 3 8. 4y + 15 = y −5 9. ​ 1 4 ​x − ​ _ 112 ​= ​1 _3 ​x − ​1 _​ 1 10. −3(3 − 2x) − 7 = 8 4611. 3x − 9 = −6112. 0.05 + 0.07(100 − x) = 3.25513. 4(t − 3) + 2(t + 4) = 2t − 16−314. 4x − 2(3x − 1) = 2x − 8​ 5_2 ​15. What number is 40% of 56? [2.5] 22.4 16. 720 is 24% of what number? [2.5] 3,00017. If 3x − 4y = 16, find y when x = 4. [2.5] −1 18. If 3x − 4y = 16, find x when y = 2. [2.5] 819. Solve 2x + 6y = 12 for y. [2.5] y = −​ 1_ 3 ​x + 2 20. Solve x 2 = v 2 + 2ad for a. [2.5] a = ​_x 2 − v 22d​Solve each inequality.21. ​_1 ​x − 2 > 3 x > 10 22. −6y ≤ 24 y ≥ −4 23. 0.3 − 0.2x < 1.1 x > −4 24. 3 − 2(n − 1) ≥ 9 n ≤ −22Write an inequality whose solution is the given graph. [2.8, 2.9]25. x > −3 26. −1 ≤ x ≤ 3–3 0 –1 3Getting Ready for Chapter 2Simplify each of the following.1. −3 + 742. −10 − 4−143. 9 − (−24)334. −6(5) − 5−355. −3(2y + 1)−6y − 36. 8.1 + 2.710.87. −​ 3 _4 ​+ ​ −​ 1 _2 ​ ​_8. −​ 7_−​ 5 4 ​ _−​ 6 5 ​10 ​+ ​ −​ 1 _2 ​ ​9. ​_1 ​( 5 x)5x10. 4 ​ ​ 1 _4 ​x ​x11. ​ 3 _2 ​​ ​ 2 _3 ​x ​x12. ​ 5 _2 ​​ ​ 2 _5 ​x ​x13. −1(3x + 4)−3x − 414. −2.4 + ( − 7.3)−9.715. 0.04(x + 7,000)0.04x + 28016. 0.09(x + 2,000)0.09x + 180Apply the distributive property and then simplify if possible.17. 3(x − 5) + 43x − 1118. 5(x − 3) + 25x − 1319. 5(2x − 8) − 310x − 4320. 4(3x − 5) − 212x − 22112Chapter 2 Linear Equations and Inequalities