Name _____________________ Date:_____________________

**6.** Simplify the following expressions:

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

- 12 + ( 7 + 19 ) = ( 12 + 7 ) + 19
- z × ( 16 + -3 ) = z × 16 + z × -3
- ( -16 × 3 ) × 12 = -16 × ( 3 × 12 )

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

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 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:

**20.** Suppose you toss a coin and spin a spinner numbered 1 through 13

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

**22.** Write the following fractions in simplest form:

**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 = 24.04 cm

**29.** After you leave your house, you walk 9 blocks west and 12 blocks south. How far are you from your house?

**30.** The length of a rectangle is 2 more than twice its width. The area of the rectangle is 312ft

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

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