I. Answer Each Question Fully. (2 Pts. Each)

Algebra 1Name:

Chapter 4 Test (101 pts.)

I. Answer each question fully. (2 pts. each)

1. Write x • x • x • x • 4 • x • x • x in exponential form.

a. 4x7b. 5 x4c. 4x4d. 47x7

2. Write “the cube of -2y” in exponential form.

a. (2y)3b. (-2y)3c. -6yd. -2y3

3. Simplify: a2 • a4 • a3 • a

a. a14b. a24c. a10d. a11

4. Simplify: (2x4)(5x3)

a. 10x12b. 10x7c. 7x12d. 7x7

5. Simplify: (2a2)(3a2) + (4a3)(a)

a. 10a7b. 24a4c. 10a2d. 10a4

6. Simplify: -[3a – 6(4a – 5)]

a. 21a + 30b. -21a – 30 c. 21a – 30 d. -21a + 30

II. Simplify – Show as much work as possible. (3 pts. each)

7. -2 * 328. 6 * (-1)2 – 5(-1)2 + 3(-1) + 29. (46)(-2)(0)

10. (4a – 3b + 1) + (6a – 5b – 2)11. (a2 – 4a – 6) – (-a2 – 7a + 6)12. (-3xy2)(-4x2y)

13. (3m3)414. (8a)(a2)15. (x4)3

16. (6a7)217. (4x3y)418. 2mn*mn9

III. Solve each of the following. Show all work. (4 pts. each)

19. 7x – (2x – 5) = 1020. (2a – 3) – (4a + 1) = 5 – 5a

IV. Use the Distributive property to solve. Show all work. (3 pts. each)

21. 2(3x2 + 6x + 5)22. -5x2(2x3 – x2 + 3x – 6)

23. 3x(2x – 3) + 4x(x – 1)24. (y + 4)(y + 2)

25. (5k + 2)(2k – 3)26. (3x + 7)(3x – 7)

27. (2n – 5)(2n2 – 3n – 2)28. (y – 5)(y2 – 3y – 7)

V. Solve each for the stated variable. (3 pts. each)

29. w = 2xy ; x30. ; y31.

VI. Solve each word problem. Show all necessary work and a picture if needed. (6 pts. each)

32. Ryan made a rectangular fish pond that was twice as long as it is wide. The pond is surrounded by a brick walk 2 m wide on each side. He had enough bricks for the area of the walk to be 76 m2. Find the dimensions of the pond.

33. A rectangular garden is 10 m longer than it is wide. If the length is increased by 1 m and the width is decreased by 2 m, the area is decreased by 42 m2. What are original dimensions?