Font size
S
M
L
XL
WorksheetsReview for Exam
Total questions: 53
Worksheet time: 3hrs 58mins
Name
Class
Date
1.
What is the equation of the graph shown, and what is the y-intercept?
a)
y = 1⁄3 (3)x ; a = 1⁄3
b)
y = 1⁄3 (3)x ; a = 3
c)
y = 3 (1/3)x ; a = 1⁄3
d)
y = 3 (1/3)x ; a = 3
2.
Write an exponential function to model the situation. Solve.
2) The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year. What will the cost be after 4 years?
2) The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year. What will the cost be after 4 years?
a)
C(t) = 12000(1.06)t ; $3149.72
b)
C(t) = 12000(.06)t ; $3149.72
c)
C(t) = 12000(.06)t ; $1472.95
d)
C(t) = 12000(1.06)t ; $15149.72
3.
Write an exponential function to model the situation. Solve.
6) The value of a car is $18000 and is depreciating at a rate of 12% per year. What will the value of the car be after 10 years?
6) The value of a car is $18000 and is depreciating at a rate of 12% per year. What will the value of the car be after 10 years?
a)
V(t) = 18000(.88)t ; $12986.98
b)
V(t) = 18000(.12)t ; $12986.98
c)
V(t) = 18000(.88)t ; $5013.02
d)
V(t) = 18000(.12)t ; $5013.02
4.
What is the equation of the graph shown, and what is the y-intercept?
a)
y = -4 (2)x ; a = 4
b)
y = 2 (4)x ; a = 2
c)
y = -2 (4)x ; a = 4
d)
y = -2 (4)x ; a = -2
5.
To solve 8 = 25x+7, you would need to re-write 8 as what base?
a)
8
b)
4
c)
2
d)
Cannot be determined
6.
Solve 8 = 25x+7
a)
x = ⅘
b)
x = ¼
c)
x = -⅘
d)
x = -¼
7.
Expand.
a)
1/3 log x + log y + log z
b)
1/3 log x + 1/3 log y + 1/3 log z
c)
1/3 log x - 1/3 log y - 1/3 log z
d)
3 log x + 3 log y + 3 log z
8.
Expand.
a)
log x + 5 log y
b)
5 log x + 5 log y
c)
5 log x - log y
d)
log x - 5 log y
9.
Condense.
a)
log2x2y10
b)
log2x2+log2y10
c)
log2x2/y10
d)
log210xy
10.
Solve for x:
4x- 5 = 12
4x- 5 = 12
a)
0.489
b)
2.552
c)
0.893
d)
2.044
11.
Change to Exponential Form:
log636 = 2
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
12.
Change to Logarithmic Form:
53 = 125
53 = 125
a)
log 5 125 = 3
b)
log 3 125 = 5
c)
log 5 3 =125
d)
log125 3 = 5
13.
log2(2) + log2(8x) = 6
a)
x = 3
b)
x = 2
c)
x = 6
d)
x = 4
14.
2 * 43x – 6 – 8 = 120
a)
x = 3
b)
x = 4
c)
x = 2.9
d)
x = 8
15.
a)
x = 5
b)
x = -6
c)
x = 14
d)
x = -1
16.
The formula given in the image give the time t in seconds for an object that is initially at rest to fall n feet. What is the distance an object falls in the first 10 seconds
a)
1600 ft
b)
160 ft
c)
40 ft
d)
1.6 ft
17.
The radius r of a cylindrical can with the volume V and height h is given by the formula in the image. What is the height of a can with a radius of 2 in. and a volume of 75 in.3?
a)
About 4 in.
b)
About 6 in.
c)
About 8 in.
d)
About 12 in.
18.
What is the domain of the graph of the radical function?
a)
(-infinity, infinity)
b)
(-7, infinity)
c)
(0, infinity)
d)
(4, infinity)
19.
What function best describes this graph?
a)
f(x)= -√(x+4) -2
b)
f(x)= √(x-4) -2
c)
f(x)= -√(x-4) -2
d)
f(x)= √(x+4) +2
20.
Which of these equations shifts a radical equation right 5 times and down once?
a)
y = √(x - 5) - 1
b)
y = √(x + 5) - 1
c)
y = √(x - 5) + 1
d)
y = √(x + 5) + 1
21.
Identify the Range
a)
(- ∞, -2 ]
b)
[ -2, ∞ )
c)
All Real Numbers
d)
[ 0, ∞)
22.
Match the correct equation with the given graph.
a)
y = √(x) + 2
b)
y = √(x) - 2
c)
y = √(x + 2)
d)
y = √(x - 2)
23.
Describe the transformation.
a)
Left 1, Reflect over x-axis, up 2
b)
Left 1, Reflect over y-axis, down 2
c)
Right 1, Reflect over x-axis, up 2
d)
Right 1, Reflect over y-axis, uo 2
24.
What is the range of the function in this graph?
a)
y ≤ 3
b)
y ≥ 3
c)
y ≤ 0
d)
y ≥ 0
25.
What is the range of this graph?
a)
y ≥ -1
b)
y ≤ -1
c)
y ≥ 0
d)
y ≤ 0
26.
Describe the transformation.
a)
Left 1, Reflect over x-axis, up 2
b)
Left 1, Reflect over y-axis, down 2
c)
Right 1, Reflect over x-axis, up 2
d)
Right 1, Reflect over y-axis, uo 2
27.
Which of the following graphs has the largest average rate of change from -1 to 2?
a)
b)
c)
d)
28.
Find the average rate of change from -2 to 0 for the following graph.
a)
2
b)
1/2
c)
-2
d)
1
29.
Find the average rate of change of f(x)=2x2+3x-1 from 1 to 2.
a)
18
b)
-9
c)
9
d)
3
30.
What is the equation of the asymptote?
a)
x = -3
b)
x=5
c)
y= -3
d)
y=5
31.
What is the range of this graph?
a)
All Real Numbers
b)
y > 1
c)
y > -1
d)
y > 5
32.
What is the Domain?
a)
x > -3
b)
x > 5
c)
x > 3
d)
x > -5
33.
Describe the graph of f(x) = log x changed to
f(x) = 3log(x + 1) - 5
a)
vertical stretch by 3 and shift right 1 and 5 units down
b)
vertical stretch by 3 and shift left 1 and 5 units down
c)
vertical compress by 3 and shift right 1 and 5 units down
d)
vertical compress by 3 and shift left 1 and 5 units down
34.
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.
Then, 68% of all tires will have a life between ___________ km and __________ km.
Then, 68% of all tires will have a life between ___________ km and __________ km.
a)
28,000 km and 32,000 km.
b)
24,000 km and 34,000 km.
c)
26,000 km and 34,000 km.
d)
27,000 km and 31,000 km.
35.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.
About what percent of the products last between 12 and 15 days?
About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
36.
Between what two standard deviations of a normal distribution contain 68% of the data?
a)
one below and one above
b)
two below and two above
c)
two below and zero
d)
zero and two above
37.
What percentage of scores falls within 3 standard deviations of the mean?
a)
68%
b)
34%
c)
99.7%
d)
95%
38.
The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between 2.9 and 3.8?
a)
81.5%
b)
47.5%
c)
68%
d)
95%
39.
Match the system to the graph (solution set is on the left)
a)
y ≤ 3x and y ≤ -2x + 4
b)
y > 3x and y > -2x + 4
c)
y < 3x and y > -2x + 3
d)
y > 3x and y < -2x + 4
40.
Which system of inequalities matches the graph?
a)
y > 2x - 4
y < 2
y < 2
b)
y < 2x - 4
y < 2
y < 2
c)
y > 2x - 4
y < 2
y < 2
d)
y < 2x - 4
y < -2
y < -2
41.
Is (-2,4) a solution to the system?
a)
Solution
b)
Not a solution
42.
Will my line be solid?
5 ≥ x
5 ≥ x
a)
Yes
b)
No
43.
An inequality using a > or a < has a ___________ line
a)
invisible
b)
solid
c)
dashed
44.
Which system of inequality is shown?
a)
y > -1/5x - 1/2
y ≥ -2x - 4
y ≥ -2x - 4
b)
y > -1/5x - 1/2
y ≤ -2x - 4
y ≤ -2x - 4
c)
y ≥ -1/5x - 1/2
y ≤ -2x - 4
y ≤ -2x - 4
d)
y < -1/5x - 1/2
y ≥ -2x - 4
y ≥ -2x - 4
45.
When graphing an inequality, you use a dotted line when you use which symbol?
a)
<, >
b)
≤, ≥
46.
When you graph an inequality, you used a solid line when you use which symbols?
a)
≤, ≥
b)
<, >
47.
Solve the system of Equations:
y= 3
y= x2 - 4x + 7
a)
(2,3) and (4,3)
b)
(3,2) and (3,4)
c)
Only (-2,3)
d)
Only (2,3)
48.
Find the solution:
y = x2 - 4x + 6
y = x + 2
y = x2 - 4x + 6
y = x + 2
a)
(3, 1) and (6, 4)
b)
(-1, 1) and (4, 2)
c)
(1, 3) and (4, 6)
d)
(1, 4) and (3, 6)
49.
Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns. He only has time to work 14 hours before homecoming.
a)
x + y ≥ 25
x + y ≤ 8
x + y ≤ 8
b)
100x + 25 y ≤ 100
2x + 8y ≤ 14
2x + 8y ≤ 14
c)
x + y ≥ 100
8x + 25y ≤ 14
8x + 25y ≤ 14
d)
8x + 25y ≥ 100
x + y ≤ 14
x + y ≤ 14
50.
Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing
a)
x+y≤300
7.5x+5.5y≥2000
7.5x+5.5y≥2000
b)
x+y<300
7.5x+5.5y≥2000
7.5x+5.5y≥2000
c)
x+y≤300
7.5x+5.5y≤2000
7.5x+5.5y≤2000
d)
x+y>2000
7.5x+5.5y≤300
7.5x+5.5y≤300
51.
Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units
a)
f(x) = |2x + 1| - 9
b)
f(x) = |2x - 1| - 9
c)
f(x) = 2|x + 1| - 9
d)
f(x) = 2|x - 1| - 9
52.
Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units
a)
y = -|x + 2| - 7
b)
y = |x - 2| - 7
c)
y = -|x - 2| - 7
d)
y = -|x - 2| + 7
53.
Know the steps to derive the formula for the sum of a finite geometric series!
a)
multiply by r, then subtract equation 2 from equation 1
b)
multiply by r, then subtract equation 2 from equation 1
Reset
