Total is out of 100 pts. EQUIPMENT: pencil, eraser, color pencils, ruler,
calculator. Show all work on the

paper here. Step DOWN between steps. (Keep exact answers.) Circle the final
answer on multi-step (non-graph)

problems. IF more space is needed to finish a problem, say “see back” and put
just the finish on the back of

another page. Little credit will be given for unsupported answers. (Projected
time needed is ≈ 50 minutes.)

Good Luck, remember good test-taking strategies, and to breathe.

(5 pts) Graph the equation.

To do this, complete a t-table (here) with any

intercepts identified at least three points total.

Put the graph on the graph paper provided.

Label appropriately (axes, intercepts as their

ordered pairs, scale).

(5 pts) Simplify. Write using positive exponents

only.

(4 pts) Evaluate when y = –4.

(4 pts) Simplify (by reducing).

(3 pts) Find the domain of the rational expression.

Write it in set-builder notation.

(5 pts) Perform the indicated operation(s).

(6 pts ea, 12 pts total) Solve completely. Show all flowchart steps: i) read,
ii) let x =, iii) verbal model, iv)

equation, v) solve, vi) interpret (makes sense?, complete sentence). Leave
number answers exact (as whole

numbers, fractions, or mixed numbers, no decimals or rounding).

13) Two boats leave a marina. One travels north, and the second travels west.
After 30 min, the second boat has

traveled 2 miles farther than the first boat and the distance between the boats
is 10 miles. Find the distance

each boat traveled. (Hint- Draw a picture)

14) The width of a rectangular painting is 2 in. less than the length. The
area is 48 in.^{2} Find the length and

width.

(5 pts each) True or False. Show reasoning in either case. (No reason, no credit.)

16) The following is a quadratic equation.

17) (2 pts total) Matching. Complete the following statements using the
words/phrases in the list. Write just the

letter for the appropriate phrase in each blank. Some words may not be used, and
some may be used more

than once. Some sentences require more than one response.

a) binomial

b) difference of cubes

c) difference of squares

d) factor

e) Greatest Common Factor

f) grouping

g) linear

h) prime

i) quadratic

j) rational

k) solution

l) sum of cubes

m) trinomial

n) Zero Product Property

I. A equation contains a second degree polynomial (a variable to the 2^{nd}
power).

II. The first step you try when factoring is to try to take out the___.

III. A ___ equation contains at most a first degree polynomial (a variable to the
1^{st} power).

IV. The ___ says IF ab = 0 THEN a = 0 or b = 0.

V. To ___ a polynomial means to write it as a product.

VI. ___ A expression or equation contains ratios (fractions) of polynomials, P/Q , where Q
≠ 0.

VII. A^3 – B^3 = (A – B)(A^2 + AB + B^2) is the factoring
pattern for a ___.

VIII. A ___ of a linear or a quadratic equation is any value that makes the
statement true upon replacement.

IX. To factor four terms, try to factor by ___.

X. When factored, a trinomial usually will break down as a product of two ___s.