Name _____________________ Date:_____________________
6. Simplify the following expressions:
8. Which properties are illustrated by the following three expressions?
 67 + 53 = 67 + 53
 (t + u) × 1 = t + u
 (z + 4) × (y + 3) = (y + 3) × (z + 4)
 Identity property of addition, Commutative property of multiplication and Distributive property
 Identity property of addition, Commutative property of multiplication and Commutative property of addition
 Identity property of addition, Commutative property of addition and Identity property of multiplication
 Commutative property of addition, Identity property of multiplication and Commutative property of multiplication
D
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 are seating 8 people on 8 chairs. How many different ways can those people sit?
19. Use the following data to construct a box and whiskers plot:

10, 38, 40, 9, 11, 31, 2, 17, 27, 35
20. Suppose you toss a coin and spin a spinner numbered 1 through 20
21. Solve and graph the following systems of linear equations:
22. Write the following fractions in simplest form:


(x^{2}  14x + 49)
(x  7)
x  7
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:
26. Rationalize the denominator of each fraction below:
27. Use a trigonometric ratio to find x:
x = 36.37 cm
29. After you leave your house, you walk 6 blocks south and 8 blocks east. How far are you from your house?
30. A rectangle has a width that is 2 m less than its length. The area of the rectangle is 224m
^{2}. What are the dimensions of the rectangle?
.