Each problem is equally weighted. Scientific calculators
are permitted.
Time limit: Two hours .
Not allowed: notes, books, graphing/programable calculators.
_________________________________________________________________________________________
Write as a logarithmic equation .
Find an equation of the line . Write the equation in
standard form.
2) Through (4, -3) and (7, -9)
Perform the indicated operation . Write the result in
the form a + bi.
Sketch the graph of the quadratic function. Give the
vertex and axis of symmetry.
Perform the indicated operation. Simplify if possible.
Solve the system for the variable x.
Find the distance between the pair of points.
7) (1, 5) and (-4, -3)
A) 40 units
B)
units
C) 89 units
D)
units
Solve.
8) One pump can drain a pool in 12 minutes. When a second pump is also used, the
pool
only takes 9 minutes to drain. How long would it take the second pump to drain
the pool
if it were the only pump in use?
A) 36 minutes
B)
minutes
C) 1/36 minute
D) 105 minutes
Use the quadratic formula to solve the equation.
Solve.
10) A certain rectangle's length is 10 feet longer than its width. If the area
of the rectangle is
75 square feet , find its dimensions.
A) 4 ft by 16 ft
B) 4 ft by 14 ft
C) 5 ft by 15 ft
D) 6 ft by 16 ft
Solve the absolute value inequality. Graph the solution set.
Find the center and the radius of the circle .
12) x2 + y2 + 4x - 18y + 85 = 9
A) center (-9, 2), radius = 9
B) center (-2, 9), radius = 3
C) center (9, -2), radius = 3
D) center (2, -9), radius = 9
Solve.
13) An arrow is fired into the air with an initial velocity of 96 feet per
second. The height in
feet of the arrow t seconds after it was shot into the air is given by the
function
h(t) = -16t2 + 96t. Find the maximum height of the arrow.
A) 48 ft
B) 240 ft
C) 432 ft
D) 144 ft
Add the expressions . Assume all variables re present positive real numbers.
Solve.
15) A vendor sells hot dogs and bags of potato chips. A customer buys 3 hot dogs
and 4 bags
of potato chips for $8.25. Another customer buys 5 hot dogs and 2 bags of potato
chips for
$10.25. Find the cost of each item.
A) $0.75 for a hot dog; $1.75 for a bag of potato chips
B) $2.00 for a hot dog; $1.00 for a bag of potato chips
C) $1.75 for a hot dog; $1.00 for a bag of potato chips
D) $1.75 for a hot dog; $0.75 for a bag of potato chips
Rationalize the denominator and simplify . Assume that all variables represent
positive real
numbers.
Find the domain and the range of the relation. Use the
vertical line test to de termine whether the
graph is the graph of a function.
A) domain: [-7, 7]
range: [-2, 2]
not a function
B) domain: [-2, 2]
range: [-7, 7]
function
C) domain: [-2, 2]
range: [-7, 7]
not a function
D) domain: [-7, 7]
range: [-2, 2]
function
Solve.
Find the indicated value.
19) Find f(-3) when f(x) = 4x2 - 2x - 5
A) 25
B) 37
C) 36
D) 47
Solve the compound inequality. Graph the solution set.
Write the solution set using interval notation.
Find the indicated value.
22) Use the graph to find f(1).
Simplify.
Solve.
24) The population of a town increased by 70% in 5 years. If the population is
currently
21,000, find the population of this town 5 years ago. (Round to the nearest
whole, if
necessary.)
A) 30,000 B) 6300 C) 12,353 D) 14,700
Solve the equation.
Use the properties of exponents to simplify the
expression . Write with positive exponents .
Solve for x.
Solve the equation.
Solve the absolute value equation.
Graph the union.
30) The union of x + y ≤ -4 or x - y ≥ -5
Answer Key
Testname: FINAL E MATH 1010
1) D
2) C
3) B
4) C
5) D
6) B
7) B
8) A
9) C
10) C
11) A
12) B
13) D
14) B
15) D
16) A
17) A
18) D
19) B
20) C
21) A
22) B
23) B
24) C
25) C
26) C
27) C
28) A
29) C
30) D
