Name: ______________________ Class: _________________ Date: _________
ID: P
Math Analysis - Chapter 1 Test PRACTICE TEST
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Identify one of the factors of
8x3 – 20x2 + 14x – 35
a.
b.
c.
d.
5. Find the slope-intercept form of the equation of the
line that passes through the point (6, 24) and has a
slope m = 3.
(4x 2 + 7)
(2x 2 – 5)
(2x 2 + 7)
(4x 2 – 5)
a.
b.
c.
d.
2. The equation of line l is −3x − 4y = −7, and the
equation of line q is −4x + 3y = −6.
Which statement about the two lines is true?
a.
b.
c.
d.
6. Which of the following lines is not parallel to the
graph of y = 2x + 8?
a. y − 2x = 10
b. 2x − y = 9
c. 6x − 3y = 9
d. 2y − x = 9
Lines l and q have the same x-intercept.
Lines l and q have the same y-intercept
Lines l and q are perpendicular.
Lines l and q are parallel.
7. Find an equation of the line perpendicular to the
graph of y = 2x + 4 that passes through the point at
ÊÁ 2, 4 ˆ˜ .
Ë
¯
3. On a recent test, Jeremy wrote the question
x 2 − 64
= x − 8.
x+8
a.
Which of the following statements is correct about
the question he wrote?
a.
b.
c.
d.
b.
c.
The equation is always true.
The equation is never true
The equation is always true except when
x = − 8.
The equation is sometimes true when x = − 8.
d.
y = 2x + 5
1
y=− x − 5
2
1
y= x + 5
2
1
y=− x + 5
2
8. Let f(x) = x + 8 and g(x) = −6 + 9x ,
find f(g(−2)) .
4. Which of the following most accurately describes
the translation of the graph y = (x + 2) 3 + 6 to the
a.
b.
c.
d.
3
graph y = (x + 3) + 2
a.
b.
c.
d.
y = 24x + 6
y = 3x − 24
y = 6x − 6
y = 3x + 6
down 4 and 1 to the right
down 4 and 1 to the left
up 6 and 2 to the left
up 2 and 3 to the left
6
–16
–24
48
9. Find the domain of the functions f(x) =
a.
b.
c.
d.
1
All real numbers (ℜ), except –9, 5
All real numbers (ℜ), except –5
All real numbers (ℜ), except 9, –5
All real numbers (ℜ)
x−9
.
x+5
Name: ______________________
10. Find the inverse function of f(x) =
a.
f
b.
f
c.
f
d.
f
−1
−1
−1
−1
ID: P
3
11. Find a real value of x such that f(x) = 0.
x + 3 − 5.
3
(x) = (x − 5) + 3
(x) =
3
f(x) = −4x 4 + 20x 3 − 24x 2
x −5 +3
a.
b.
c.
d.
3
(x) = (x + 5) − 3
(x) =
3
x +5 −3
12. Which is the graph of
y = (x + 1) 2 − 2?
a.
c.
b.
d.
2
x = –2
x=–6
x=6
x=2
Name: ______________________
ID: P
13. Graph 3x + 7y = 21.
a.
14. What is one of the solutions of
2sin 2 x + 3sin x + 1 = 0 ?
7π
a.
6
b.
c.
d.
π
3
5π
3
π
15. What is the function of the graph shown below?
b.
c.
d.
3
a.
f(x) =
x+3 +2
b.
f(x) =
x−2 −3
c.
f(x) =
x−3 +2
d.
f(x) =
x+2 −3
Name: ______________________
ID: P
17. Given vectors ä
u = −4 ä
i + 6ä
j and ä
v = 4ä
i + 3ä
j,
ä − 10v
ä in terms of unit vectors ä
find 8u
i and ä
j.
i − 73 ä
j
a. 19 ä
b. −69 ä
i − 73 ä
j
c. −72 ä
i + 18 ä
j
i − 73 ä
j
d. 13 ä
16. Graph y = 3sin x + 2
a.
18. A vector v has initial point (1 , 2) and terminal
point (–6 , –4). Determine its magnitude.
a. –6
b.
29
c. 13
d.
85
19. A trianglular parking lot measures 21 meters and
26 meters, with an included angle of 114º. Find the
perimeter of the parking lot, in meters.
a. 65.51 meters
b. 7.49 meters
c. 47 meters
d. 86.51 meters
b.
c.
d.
4