Pre-AP Algebra II

Pre-AP Algebra II Name______Review #1 – Linear Equations & Inequalities Date______Period______

Evaluate 1. -2b2 when b = 3 2. 8x – 3y – 5 when x = 3 and y = 4 2 3 3. (9 + 3y) 4x when x = and y = 4. 12 – (3)(2) + 5 5 5

Solve 5. 3 – 5x = 18 6. 3(x – 6) = 6x + 3

7. 8(5 – 2x) = -3(x + 4) 8. -4(x + 1) = 3(2 – x)

9. 4x – 5(x – 2) = 9x – 14 10. –x – 20 = -5x + 9

Solve. Show all work. Leave answers as reduced improper fractions.

1 3 4 11. 0.9y – 0.7 = 4.2 + 0.2y 12. +y = - y 5 10 5 2 5 1 1 13. +3x = 7 x - 14. (16y+ 8) - 17 = -( 8 y - 16) 7 7 8 4 5x- 3 9 - x 9+ 3x 15. = 16. 6= 7 3 5 4( x + 2) 17. 9( 2x - 3) = 3

Graph 18. x > 9 and x < 3 19. x > 5 or x > 1 20. x > 3 and x < 8 21. x > 7 or x < 2

Give the inequality for each graph

22. 23. -4 -3 -2 -1 0 1 2 3 4 5 -4 -3 -2 -1 0 1 2 3 4 5

Solve and graph 24. 8 – 7y < 50 25. 7y – 2y – 3 > -28

26. 17 – 5y < 8y – 5 27. 0.4x + 5 > 1.2x – 4

28. 3 – (2x + 7) + 4x < 3(x + 1) 29. -2x – 5 > -2 or x – 3 > 2

30. -10 < 3x – 5 < -1 31. -13 < 2(3x + 1) < 8

Solve 32. |7x – 3| < 11 33. |8 – 5x| = 2

of 2 Review #1 – Linear Equations & Inequalities PreAP Algebra II 34. |4x – 9| > 14 35. |5x – 4| - 8 > -3

Write an equation and solve

36. 6 more than 8 times a number is 3 times the same number minus 5. Find the number.

37. A rectangle is 4 more than 2 times as long as it is wide. If the perimeter of the rectangle is 50, find the length and the width of the rectangle.

38. A rectangle is 7 less than 6 times as long as it is wide. If the perimeter of the rectangle is 42, find the length and width of the rectangle.

Solve for the given variable. 4 39. I = Prt for P 40. V= p r 3 for p 3 mv2 41. F = for m 42. V = ab + at for a r

h( b+ b ) 1 2 43. The formula for the area of a trapezoid is A = where A is the Area, h is the height, and b1 2 and b2 are the lengths of the bases.

a) Solve for b2.

b) If the Area of a trapezoid is 50, the height is 4, and one of the bases has a length of 16, find the length of the other base.