Download MAC 1140 Unit 1 Practice Test

MAC 1140
Unit 1 Practice Test
Solve.
1) 12(3c - 5) = 8c - 6
2) x2 = 3 - 8x
Name___________________________________
State the value of the discriminant and the number of real
solutions.
16) s2 = -6s - 7
17) s2 + 3s + 3 = 0
Solve the equation. You may use your calculator.
18) -4.9q + 1.3 = -10.1 - 1.1q
3) x2 = 81
4) (x + 14)2 = 36
Graph the linear equation.
19) 3y + 6x = -6
3
4
5) - x +
1
x
1
=
+
2 -8 4
6) (x + 9)(x - 6) = -14
7) 8m + 2 = 5
8) (x - 5)2 = -3
20) 2 - x = 4
9) 3 - 4 6x - 8 = 3
10) y2 + 4y = 5
11) 4 - 7 7x + 4 = 10
12) 6m 2 + 12m + 1 = 0
21) y + 3 = 0
13)
-5
2
15
=
m - 2 m + 2 m2 - 4
14) 6x2 + 29x - 5 = 0
15)
2y + 3 3
=
y
2
Use the vertical line test to determine whether y is a
function of x.
Find the slope of the line containing the pair of points.
22) (1, -5), (-3, 9)
36)
23) (-2, -8), (-2, -6)
24) (-2, -2), (-8, -2)
Find the equation of the line through the given pair of points.
Put in slope-intercept form if possible.
25) (-6, -9), (-3, 6)
26) (9, 5), (-3, 5)
Change the equation to slope-intercept form.
27) -8x + 5y = 9
37)
Write the equation of the line that contains the specified
points in the form ax + by = c, where a and b are integers.
28) (3, 2) and (-2, 6)
29) (-5, -1) and (3, 2)
Write an equation in standard form using only integers for the
line described.
30) The line with slope -8, going through (-6, 0)
5
2
31) The line through (0, 5), perpendicular to y = x +
2
32) The line parallel to y = 0 and containing (4, -9)
2
3
Determine whether the relation is a function. Find the
domain and range.
38) {(-6, -2), (-2, -2), (2, 4), (2, -7)}
Determine whether the equation defines y as a function of
x.
39) y = x2 - 3x - 5
33) The line through (3, 4), parallel to y = - x + 1
34) The line perpendicular to x = 1 and containing (
-10, -2)
Solve the problem.
35) Suppose that a sales person observes that if an
item is priced at $3 per item then 11 items are
sold. If 9 items are sold for $5 per item then find
an equation to model the number y of items sold
for x dollars per item. Find the slope-intercept
form of the equation of the line.
40) x = -8y - 8
41) x = y2 + 6
Graph. Find the domain and range.
42) y = 7 + x
43) y = 10
44) x = - y + 2
Graph the function. Find the domain and range.
52)
45)
f(x) =
5, if x
1
-2 - x, if x < 1
Match the function with the graph.
53)
Evaluate.
46) If f = (1, -1), (2, -4), (5, 6) , find f(5)
47) Find f(a - 4) when f(x) = x2 - 2.
Find the difference quotient for the function and simplify
it.
48) f(x) = x2 + 7x
Find the requested composition of functions. Find the
domain of the composition.
49) Given f(x) = -3x + 3 and g(x) = 2x + 3, find (g
f)(x).
A) y = (x - 6)2 - 3
B) y = (x - 3)2 + 6
C) y = -(x + 6)2 - 3
D) y = (x + 6)2 - 3
54)
50) Find g f, for f(x) = 1 and g(x) = 2 - x.
x6
Find the domain, range, and determine the intervals on
which the function is increasing, decreasing, and constant.
51)
A) y = x + 5
C) y = x - 5
B) y = x - 5 + 1
D) y = x - 5
55)
A) y = x + 5 + 1
C) y = x + 5
B) y = x - 5 + 1
D) y = x + 1
Perform the indicated operations and write the answer in
the form a + bi, where a and b are real numbers.
56) (9 - 2i) + (3 + 9i)
57) (7 + 3i) - (-6 + i)
58) 8i(3 - 7i)
59) (5 + 2i)(7 + 6i)
Evaluate the indicated power of i.
60) i13
61) i74
Write the quotient in the form a + bi.
62) 6 + 2i
9 - 7i
Find the imaginary solutions to the equation.
63) x2 + 16 = 0
64) x2 + x + 1 = 0