Algebra Final Examination

At the exam, you will be given a Scantron answer sheet. Bring a supply of #2 pencils to fill in the choice
of your answer . Make sure the answer sheet contains YOUR NAME, YOUR INSTRUCTORS NAME
and EXAM (A or B).. You will use the test as your scratch paper and turn in both the test and the answer
sheet when you leave. No books, notes or calculators are permitted. Turn off all Cellular phones and
pagers.

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the
question.

Solve the equation.
1) 5y + 5 = 6 + 3y
1)_______________

2) 6x + 5(2x - 6) = -10 - 4x
2)______________

Solve the problem.
3) The sum of twice a number and 17 less than the number is the same as
the difference between -1 and the number. What is the number?
3)______________

4) Find the measure of an angle if its supplement measures 210° less than 6
times its complement.
4)______________

Solve the formula for the specified variable.
5) A = P(1 + nr) for n
5)______________

Solve the inequality . Write the solution set in interval notation and graph it.
6) 8n - 10 > 7n + 2

6)______________

Decide whether or not the ordered pair is a solution to the equation .
7) 5x + 5y = 20; (2, 2)
7)_______________

Graph the linear equation .
8) 4x - y = 0
8)_______________

Decide whether the slope is positive, negative , zero, or undefined.
9)

9)______________

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept
form.
10) (5, 3); m = - 5
10)______________

Identify the base and the exponent for the exponential expression.
11) (-6x)²
11)______________

Determine whether or not the number is written in scientific notation.
12) 1.29 × 10⁵
12)____________

Perform the indicated operation.
13) Add.
9x⁸ + 3x⁷ - 3x⁶ + 3
8x⁸ + 5x⁷ + 6x⁶ + 8
13)_____________

Find the product.
14) (2m²z⁴)(3m³z²)
14)_____________

Find the square.
15) (w - 4 )²
15)______________

Perform the division .
16) (x² - 4x - 45) ÷ (x - 9)
16)_____________

Factor completely.
17) x² - 2x - 99
17)_____________

18) 5x³ + 5x²y - 60xy²
18)_____________

Factor as completely as possible. If unfactorable, indicate that the polynomial is prime.
19) 60x² + 35xy + 5y²
19)_____________

Solve the equation.
20) 25k² - 36 = 0
20)____________

21) 15s³ - 33s² + 29s = 11s
21)_____________

Solve the problem.
22) The length of a rectangle is 8 inches more than its width. If 4 inches are
taken from the length and added to the width , the figure becomes a
square with an area of 196 square inches. What are the dimensions of the
original figure?
22)_____________

Find all values that make the expression undefined.

23)____________

Perform the indicated operation and simplify.

24)_______________

Solve the problem.
25) In a certain fraction, the numerator is 2 less than the denominator. If 5 is
added to both the numerator and the denominator , the resulting fraction
is equal to 12/14. Find the original fraction .
25)_____________

Find the x- and y-intercepts.
26) 15y - 3x = -9
26)_____________

Find the slope of the line through the pair of points.
27) (7, -7) and (-4, -3)
27)___________

Find the slope and the y- intercept of the line .
28) 4x + 7y = 43
28)____________

Solve the problem.
29) If m varies directly as p, and m = 25 when p = 5, find m when p is 3.
29)_____________

Decide whether or not the ordered pair is a solution of the system.
30) (1, 5)
3x + y = -2
2x + 3y = -13
30)_____________

Solve the system by the elimination method .
31) x + 3y = -2
-5x + 4y = 10
31)_____________

32) -5x - 4y = 1
15x + 12y = -3
32)______________

Solve the equation.
33) |b - 8| = 5
33)_____________

Find the root if it is a real number.

34)__________

Simplify the expression involving rational exponents.
35) 274/3
35)____________

Simplify. Assume that all variables represent positive real numbers .

(36)____________

Solve the equation.

37)____________

Multiply .
38) (4 + 6i)(3 + 5i)
38)____________

Use the quadratic formula to solve the equation. (All solutions are real numbers.)
39) 3n² = -8n - 2
39)___________

Use the discriminant to determine whether the equation has two rational solutions, one rational
solution, two irrational solutions, or two imaginary solutions. Do not actually solve.
40) w² + 5w + 8 = 0
40)____________