2.11 SELF TEST In exercises 1-4, simplify by combining like terms. 1. -4x + 7y +2(3x -5)+7 2. 2(x + 2) -3(y + 2) +7 3. 3(x - y) + 4(y -x)- 5(x+ y) 4. 6(x + 2y) + 3(y+4.x) -9(x +2) In exercises 5-14, solve the equation. 5. 4(p+3)+7=3p-1 6. 6(x - 2) -2(x + 1) =4 7. 2y - 2 =3 8 . -x + 2 = 7 9. 0.1(x + 70) + 0.3x =-1 10. 0.2(x +9) - 0.5x = 2 11. 4(3x - 5) - 3(x + 2) = 9x + 5 12. 3(2x- 5)+ 6(x +4) =13x+3 13. 3z + 2(2-4) = 5z -8 14. (62+ 3)- (2+4) = 2z +8 In exercises 15-18, solve the proportion. 15. 42 - 12 17. 2m -1 _3m + 1 18. 4m+ 2 _ 6m+ 1 21 16. 2 19. When three times a number is added to 7, the result is 18. Find the number. 20. The perimeter of a rectangle is 36 cm. The length of the rectangle is 4 cm more than its width. Find the dimensions of the rectangle. 21. Given that (x - 35) and (65 + 2x) are supplementary angles, determine x. 22. If (x + 20) and (2x - 20) are complementary angles, determine x. 23. Solve the formula S. = 7 12a + (n - 1)d) : for d. 24. How many liters of 30% chemical solution must be mixed with 30 liters of 70% solution to get a 60% mixture? 25. Willie invests some money at 7.5%. He also invests $4.000 less than this amount at 6.5%. His total annual income from the interest of these two investments is $1.000. How much money is invested at each rate? 125 2.10 Review Exercises