Incoming Algebra Summer Packet

Incoming Algebra Summer Packet

All work must be shown for credit

Evaluate each expression if f = –4, g = 2, and h = 7.

1. –h – 3

2. h –g+f

Add or subtract. Write in simplest form.

3. 57+37

4. 712+34

5. -35-15

6. 58-316

7. HOMEWORK Honon spent 314 hours on homework yesterday while Sequoia spent 256 hours on homework. How much more time did Honon spend on homework than Sequoia?

Add or subtract. Write in simplest form.

8. Simplify the expression 8(3x − 2) − 4(2x + 5).

9. Identify the next three terms in the arithmetic sequence 9, 13, 17, 21, …

10. Find the GCF of 14ab, 7a. 11. Add (−12x + 6) + (4x − 12).

12. Subtract (7x − 10) − (−6x − 8). 13. –6x – 10 = –34 17. -45 (x + 8) = 12

18. x + 3 > 13 19. n – 8 ≤ 4

20 .The length of each side of a square was increased by 6 inches, so the perimeter is now 52 inches. What was the original length of each side of the square?

Solve each equation. Check your solution.

21. t + 7 = 5

22. a – 3 = 9

23. –4 = p – 6

24. y + 19 = 26

25. 3x = –12

26. 20 = 4n

27. 2.1d = 51.24

28. 34x = –12

29. 52c = 813

30. 3y + 8 = 14

31. 2m – 5 = 17

32. 3x – 2.6 = x + 8.2

33. PLUMBER Abe, a plumber, charges $50 per hour plus $75 for making an in–home visit. The Plumbing Service charges $65 per hour but no set fee for a visit. How many hours of plumbing work are needed for each to cost the same?

34. BROWNIES Lauren brings brownies to class one day. She gives 35 of them to her friends Gareth, Tammy, and Camilla. If she gave them 21 brownies, how many did she bring to class?

Find the value of x in each figure.

35. 36.

37. 38.

39. Suppose you are making a scale drawing. Find the length of each object on the scale drawing with the given scale. Then find the scale factor.

a. a parking lot 480 meters wide; 1 centimeter = 16.5 meters

b. a desk 6 feet long; 1.5 inches = 0.5 feet

Find the missing angle measure in each triangle. Then classify the triangle as acute, right, or obtuse.

40.

41.

42. A model of a building is made using a scale of 1 inch = 25 feet. What is the height of the actual building if the height of the model is 12.5 inches?