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WorksheetsCPM TEST #3 REVIEW (Chapter 5.2 + Review)
Total questions: 70
Worksheet time: 5hrs 42mins
Name
Class
Date
1.
When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?
a)
solve for y
b)
replace y with f-1(x)
c)
solve for x
d)
find the greatest common factor
2.
Find the inverse of f(x) = x2 - 5
a)
f-1(x) = √(x) + 5
b)
f-1(x) = ∛(x-5)
c)
f-1(x) =√(x+5)
d)
f-1(x) = x2 - 5
3.
The inverse has been reflected over which line?
a)
y = x
b)
y =1
c)
y = 0
d)
y = x + 1
4.
If the equation of f(x) goes through (1, 4) and (4, 6), what points does f-1(x) go through?
a)
(1, 4) and (4, 6)
b)
(-4, -1) and (-6, -4)
c)
(-1, -4) and (-4, -6)
d)
(4, 1) and (6, 4)
5.
Are these functions inverses?
a)
No
b)
Yes
c)
No way to tell
6.
are these inverses?
a)
yes
b)
no
c)
no way to tell
7.
Was the inverse function found correctly?
a)
no,
b)
yes
8.
If f(x) = 3x-9, what is f -1(12)?
a)
25
b)
9
c)
11
d)
7
9.
In an inverse function, the _____ and _______ are switched from the original
a)
f(x) and g(x)
b)
input and output
c)
positives and negatives
d)
slope and intercept
10.
Is the inverse function found correctly?
a)
yes
b)
no
11.
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
12.
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
13.
What is the inequality graphed here?
a)
y ≤ | x + 3 | + 2
b)
y ≥ | x + 3 | + 2
c)
y > | x - 3 | + 2
d)
y < | x + 3 | - 2
14.
What is the inequality graphed here?
a)
y ≤ | x | + 1
b)
y ≤ | x + 1 |
c)
y ≤ .5 | x | + 1
d)
y ≤ .5 | x + 1 |
15.
Sandra has a $20 itunes gift card and spends $3 each month. Which equation can be used to find how much money Sandra has on her giftcard after x months?
a)
y = 3x + 20
b)
y = 3 + 20x
c)
y = -3x + 20
d)
y = -20x + 3
16.
At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog. Last week, the store made $60 from washing cats and dogs. If 6 cats were washed, write and solve a linear equation to find how many dogs were washed.
a)
2 dogs
b)
3 dogs
c)
4 dogs
d)
not enough information
17.
In a supermarket, apples cost $0.50 each, and grapefruits cost $2 each. If you want to spend exactly $15 at the supermarket, and need 7 grapefruit. How many apples could you purchase?
a)
7
b)
2
c)
10
d)
5
18.
On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?
a)
10c + 5d = 14.25
5c + 10d = 16.50
5c + 10d = 16.50
b)
10c + 5d = 16.50
5c + 10d = 14.25
5c + 10d = 14.25
c)
c + d = 10
5c + 10d = 16.50
5c + 10d = 16.50
d)
c + d = 5
5c + 10d = 16.50
5c + 10d = 16.50
19.
A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?
a)
y = 6.80 + .65x
y=7.30+.90x
y=7.30+.90x
b)
x + y = 6.80
x + y = 7.30
x + y = 7.30
c)
y = 6.80+.90x
y = 7.30 + .65x
y = 7.30 + .65x
d)
y + .90x = 6.80
y + .65x = 7.30
y + .65x = 7.30
20.
a)
y ≥ -(x + 4)² + 1
b)
y < -(x - 4)² + 1
c)
y ≤ (x - 4)² + 1
d)
y ≤ -(x - 4)² + 1
21.
a)
y ≤ (x - 3)² + 3
b)
y < (x + 3)² - 3
c)
y < (x - 3)² - 3
d)
y ≤ (x + 3)² - 3
22.
When graphing in vertex form, what does the variable a affect?
Reminder: vertex form is y=a(x-h)2+k
Reminder: vertex form is y=a(x-h)2+k
a)
How narrow/wide the parabola is
b)
The y value of the vertex
c)
The x value of the vertex
23.
When graphing in vertex form, what does the variable h affect?
Reminder: vertex form is y=a(x-h)2+k
Reminder: vertex form is y=a(x-h)2+k
a)
Upside down/Right side up
b)
The y value of the vertex
c)
The x value of the vertex
d)
How narrow/wide the parabola is
24.
When graphing in vertex form, what does the variable k affect?
Reminder: vertex form is y=a(x-h)2+k
Reminder: vertex form is y=a(x-h)2+k
a)
Upside down/Right side up
b)
The y value of the vertex
c)
The x value of the vertex
d)
How narrow/wide the parabola is
25.
When graphing in vertex form, what does the variable a affect?
Reminder: vertex form is y=a(x-h)2+k
Reminder: vertex form is y=a(x-h)2+k
a)
Upside down/Right side up
b)
The y value of the vertex
c)
The x value of the vertex
26.
Choose the best equation for the graph.
a)
b)
c)
d)
27.
Choose the best graph for the equation.
a)
b)
c)
d)
28.
What is the formula above primarily used for?
a)
Finding the axis of symmetry from standard form
b)
Finding the vertex from standard form
c)
Finding the vertex from vertex form
d)
Finding the vertex from standard form
29.
Find the vertex of the quadratic:
y = -2x2 + 4x + 3
y = -2x2 + 4x + 3
a)
(0, 3)
b)
(-1, 5)
c)
(1, 5)
d)
(1, -5)
30.
What is the vertex of y= x2 - 8x + 14 ?
a)
(2, 4)
b)
(-4, -2)
c)
(4, -2)
d)
(-2, 4)
31.
What is the vertex of the following equation
y = 2(x − 3)² + 4
y = 2(x − 3)² + 4
a)
(3, 4)
b)
( −3, 4)
c)
(2, 4)
d)
(3, 2)
32.
Solve.
a)
x = 5
b)
x = -3
c)
x = 3
d)
x = -5
33.
Solve
a)
A
b)
B
c)
C
d)
D
34.
The solutions of the quadratic equation
x2-5x+6=0 are
x2-5x+6=0 are
a)
x=1 or x=-6
b)
x=3 or x=2
c)
x=-3 or x= 2
d)
x=-1 or x=6
35.
Solve 2x² - 7x + 6 = 0 by factoring
a)
x = -3/2 and x = -2
b)
x = -3 and x = -2
c)
x = 3 and x = 2
d)
x = 3/2 and x = 2
36.
Solve.
a)
x = 3, x = -6
b)
x = 0, x = 2
c)
x = 2, x = 3
d)
x = -2, x = 1
37.
Solve:
log5 7x = 2
log5 7x = 2
a)
x = 5/7
b)
x = 25/7
c)
x = 2/7
d)
x = 17.5
38.
log(x+6) = 1
a)
4
b)
4.222
c)
-5
d)
-9.550
39.
83x+3 = 86
a)
x=28
b)
x=3
c)
x=1
d)
x=12
40.
Solve for x:
logx 25 = 2
logx 25 = 2
a)
5
b)
-5
c)
1/5
d)
-1/5
41.
Solve: 7-x = 49
a)
x = 1
b)
x = -1
c)
x = 2
d)
x = -2
42.
6x2 - 54 ≤ 0
a)
-3 ≤ x ≤ 3
b)
x ≤ -3 or x ≥ 3
c)
-3 < x < 3
d)
x < -3 or x > 3
43.
2x2 + 9x - 143 < 0
a)
-11 < x < 6.5
b)
-11 ≤ x ≤ 6.5
c)
no solution
d)
all reals
44.
-3x2 + 45 ≥ 6x
a)
-5 < x < 3
b)
-5 ≤ x ≤ 3
c)
x < -5 or x > 3
d)
x ≤ -5 or x ≥ 3
45.
How are exponentials and logarithms related?
a)
They're cousins
b)
They're inverses
c)
They're not related
d)
They're reciprocals
46.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
47.
Rewrite the equation in exponential form:
logvn = a
logvn = a
a)
va = n
b)
na = v
c)
vn = a
d)
an = v
48.
Write in exponential form.
log2(1/8) = -3
log2(1/8) = -3
a)
2-3 = 1/8
b)
21/8 = -3
c)
-32 = 1/8
d)
-31/8 = 2
49.
Write the exponential equation as a logarithm
63=216
63=216
a)
log6(3) = 216
b)
log3(6) = 216
c)
log6(216)=3
d)
log216(6)=3
50.
Rewrite in logarithmic form. 70=1
a)
log07=1
b)
log70=1
c)
log71=0
d)
log17=0
51.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
52.
Solve.
6 - 2|m -3| > -4
6 - 2|m -3| > -4
a)
-8 < m < 2
b)
m < -8 or m > 2
c)
m < -2 or m > 8
d)
-2 < m < 8
53.
What is the correct first step?
a)
divide by 10
b)
multiply by 10
c)
make it two inequalities with an "or"
d)
make it two inequalities with and "and
54.
a)
no solution
b)
a> -1/6 or a< -5/6
c)
a>1/2 or a< -3/2
d)
all real numbers
55.
f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))
g(x) = x - 2
Find f(g(5))
a)
19
b)
23
c)
-10
d)
None of these.
56.
p(x) = 3x + 4
q(x) = 2x2
Find q(p(x))
q(x) = 2x2
Find q(p(x))
a)
6x2 + 4
b)
18x2 + 48x + 32
c)
18x2 + 32
d)
None of these.
57.
Evaluate log41
a)
1
b)
0
c)
4
d)
undefined
58.
Evaluate the expression:
log3 1/243
log3 1/243
a)
1/5
b)
-5
c)
-1/5
d)
5
59.
True or False: log₈64=2
a)
True
b)
False
60.
Evaluate log8 8.
a)
8
b)
-1
c)
0
d)
1
61.
The base of common log is 10. So log 100 = ?
a)
1
b)
2
c)
10
d)
50
62.
log25(5)
a)
1/2
b)
2
c)
-2
d)
1/5
63.
Evaluate.
log381
log381
a)
4
b)
1/4
c)
-4
d)
-1/4
64.
log⅓(¹/₈₁)
a)
1/4
b)
-4
c)
4
d)
-1/4
65.
log3(log464)
a)
1
b)
27
c)
9
d)
3
66.
Which have a domain of all real numbers?
a)
exponential
b)
logarithm
c)
both
67.
Which have a range of all real numbers?
a)
exponential
b)
logarithm
c)
both
68.
Which has a horizontal asymptote?
a)
Exponential
b)
Logarithmic
c)
Both
69.
Which has a vertical asymptote?
a)
Exponential
b)
Logarithmic
c)
Both
70.
When completing the square on this equation, what integer is added to both sides?
a)
3
b)
9
c)
49
d)
81
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