Download Answers Summer 2011 Test 2

Test 2
MAT 1111
Summer 2011
Name______________________________
Simplify all answers and show your work!
1) In the linear equation 2x + 7y = 14, what is the x-intercept? __(7, 0)___ y-intercept? __(0, 2)__
2) Lines that are parallel have the same __slope__.
3) In order to find the equation of a line, we must have a _slope_ and a __point___.
4) When translating phrases into mathematical expressions (like in # 9), “of” means to _multiply_
and “per” means to _divide__.
5) Find the equation of the line having the following properties.
5
6
a) m = , passing through (4, –3)
b) m = − , passing through (0, –2)
3
13
5x – 3y = 29
or
y=
5
29
x−
3
3
y= −
c) Parallel to 8x + 3y = –15 and passing through (6, –2)
8x + 3y = 42
or
6
x–2
13
or 6x + 13y = –26
d) Passing through (–4, –1) and (1, –9)
8
y = − x + 14
3
8x + 5y = –37
or
8
37
y= − x−
5
5
6) If f(x) = –x + 21 and g(x) = 2x + 3 , find the following:
a) f(–10)
b) f(2x + 4)
31
–2x + 17
c) g(0)
d) g(6)
3
15
7) Find the domain of each of the following functions:
a) f ( x ) = x + 4
b) f(x) = 18x2 – 3
x ≥ –4
all real numbers
8) Translate each phrase into a mathematical expression:
a) Eleven less than a number
b) Three more than twice a number
x – 11
2x + 3
c) f ( x ) =
4x
x −9
all real numbers except 9
9) Solve the system of equations:
3x − 4 y = −17

5x + y = −13
(–3, 2)
10) Solve for x:
7 x 2x − 7 5
−
=
18
6
9
x = –11
11) Graph the equation of the line: 3x + 2y = –12
See graph below
12) Graph the line: f(x) =
5
x−2
3
See graph below
13) A shopkeeper orders a total of 60 pounds of almonds and cashews for a total of $162. If almonds cost
$3 a pound and cashews cost $2 a pound, how many almonds did the shopkeeper order?
42 pounds worth of almonds