Name _____________________ Date:_____________________

6. Simplify the following expressions:

8. Which properties are illustrated by the following three expressions?

( s × 1 ) × r = s × ( 1 × r )
0 + q + 4 = q + 4
( e + f ) + d = e + ( f + d )

Associative property of multiplication, Identity property of addition and Associative property of addition
Associative property of addition, Commutative property of addition and Identity property of multiplication
Associative property of addition, Identity property of addition and Identity property of multiplication
Commutative property of addition, Associative property of addition and Commutative property of multiplication

A
9. Solve the following equations for x:

10. Solve the following inequalities. Then graph a) on the number line

11. Convert the following numbers into scientific notation:

12. Add the following polynomials:

13. Multiply the following polynomials and simplify:

15. Find the greatest common factor of the following terms:

16. Factor the following polynomials:

17. For question 16, exercises b) and c), solve for x:

18. You have 5 pants, 3 shirts, and 5 shoes. How many different ways can you dress?

19. Use the following data to construct a box and whiskers plot:

40, 34, 38, 28, 31, 27, 36, 26, 13

20. Suppose you toss a coin and spin a spinner numbered 1 through 12

21. Solve and graph the following systems of linear equations:

22. Write the following fractions in simplest form:

22x^{6} y^{7} z^{4}

44x^{7} y^{9} z^{2}

x - 4

23. Solve the equation below in two different ways. First, solve it using the

quadratic formula . Secondly, solve it by completing the square.

24. Convert the following repeating decimal into a fraction:

25. Solve the following equation:

15x

+ 10 = 16x

- 12 x = 484

26. Rationalize the denominator of each fraction below:

27. Use a trigonometric ratio to find x:

x = 29.44 cm

29. After you leave your house, you walk 8 blocks east and 6 blocks north. How far are you from your house?

30. The length of a rectangle is 3 more than thrice its width. The area of the rectangle is 396ft

^{2} . What is the length and width of the rectangle?

.