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WorksheetsQuiz & Exam Prep
Total questions: 51
Worksheet time: 2hrs 37mins
Name
Class
Date
1.
Does this graph in the back have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
2.
Find the y-intercept of f(x) = 2x2-2x + 1
a)
2
b)
-2
c)
1
d)
-1
3.
What is the vertex of the following equation?
y=5(x-3)2+5
y=5(x-3)2+5
a)
(3,5)
b)
(-3,5)
c)
(3, -5)
d)
(-3,-5)
4.
What is the green dashed line called?
a)
roots or x-intercepts
b)
parabola
c)
axis of symmetry
d)
y intercept
5.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
6.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
7.
What is the axis of symmetry (line of symmetry)?
a)
-3
b)
-1
c)
x=-3
d)
x=-1
8.
Find the axis of symmetry of f(x)= -2x2-16x+3.
axis of symmetry x = -b/2a
a)
x= 4
b)
x=-4
c)
y= 4
d)
y=-4
9.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
10.
Find the axis of symmetry for
f(x) = x2- 8x + 15.
axis of symmetry x = -b/2a
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
11.
Find the vertex of the quadratic:
y = -2x2 + 4x + 3
axis of symmetry x = -b/2a then plug in the x value
a)
(0, 3)
b)
(-1, 5)
c)
(1, 5)
d)
(1, -5)
12.
y varies directly with x, and y is 84 when x is 16. What is the constant of proportionality?
a)
y = (21/4)x
b)
k= 21
c)
k= 5.25
d)
k= 4/21
13.
Write an equation for this relationship.
a)
y=4x
b)
y=1/8x
c)
y=1/4x
d)
y=8x
14.
The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?
a)
$2
b)
$308
c)
$1.57
d)
$265
15.
Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?
a)
$394
b)
$440
c)
$472.80
d)
$512.20
16.
y varies directly with x, and y is 16 when x is 32. Which equation represents this situation?
a)
y=32x
b)
y=16x
c)
y=2x
d)
y=(1/2)x
17.
y varies directly with x.
y is 84 when x is 16. What is the constant of proportionality?
y is 84 when x is 16. What is the constant of proportionality?
a)
y = (21/4)x
b)
k = 21
c)
k = 5.25
d)
k = 4/21
18.
Is this a direct variation?
y=2x
y=2x
a)
yes
b)
no
19.
What is another name for k?
a)
y- intercept
b)
x
c)
slope
d)
x- intercept
20.
Is this a direct variation?
y=12x + 4
y=12x + 4
a)
yes
b)
no
21.
2x - y = 0
4x - y = 0
a)
(1,2)
b)
(0,0)
c)
No Solutions
d)
Infinite Solutions
22.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
23.
a)
(0, 0), (0, 6), (6, 2), (8, 0)
b)
(0, 0), (6, 0), (2, 6), (0, 8)
24.
x - y - 1 ≤ 0
a)
b)
c)
d)
25.
x + 3y - 6 ≥ 0
a)
b)
c)
d)
26.
x - 4y - 4 < 0
a)
b)
c)
d)
27.
x + 2y < 0
a)
b)
c)
d)
28.
y > 2
a)
b)
c)
d)
29.
2x + 9 ≥ 3y
a)
b)
c)
d)
30.
x ≤ 1 + 4y
a)
b)
c)
d)
31.
x + 3 ≤ 4y
a)
b)
c)
d)
32.
0.05y - 0.2 ≥ x - 0.3
a)
b)
c)
d)
33.
For the function f(x) = -3x + 3 find f(0).
a)
0
b)
-3
c)
3
d)
-1
34.
For the function f(x) = -3(x-1) find f(0).
a)
0
b)
-3
c)
3
d)
-1
35.
Paco's daughter will be participating in an upcoming dance recital. She will require a different costume for each dance she plans to performs.
c = the number of costumes Paco's daughter will require
d = the number of dances Paco's daughter plans to perform
Which of the variables is independent?
c = the number of costumes Paco's daughter will require
d = the number of dances Paco's daughter plans to perform
Which of the variables is independent?
a)
c
b)
d
36.
Let w(x) = 3x - 7. If w(x) = 14, find x.
a)
7
b)
35
c)
2.33333
d)
-49
37.
What is x if
f(x) = -2?
f(x) = -2?
a)
4
b)
0
c)
3
d)
8
38.
The function c(m) = 1.45m + 3.50 represents the cost of a taxi for m miles.
What does c(7) represent?
What does c(7) represent?
a)
A cost of $7 to ride the taxi
b)
The cost to ride 7 miles
c)
The minimum distance to ride a taxi
d)
The minimum cost of a taxi
39.
Derek works at Subway making $9.25 an hour. The function d(x)=9.25x tells us how much money Derek makes after x hours of working. What is the meaning of d(4)=37?
a)
After 4 hours of work, Derek makes $37.
b)
Derek needs $4 more to have $37 total.
c)
After working for 4 days, Derek makes $37 total.
d)
After 4 hours of work, Derek now makes $37 an hour instead of $9.25.
40.
Ms. Brackemyer is collecting pencils. The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days. What is the meaning of p(8)=52?
a)
Ms. Brackemyer starts with 8 pencils and ends with 52.
b)
After 8 days, Ms. Brackemyer has 52 pencils.
c)
Ms. Brackemyer starts with 52 pencils and gets 4 more every day.
d)
Every day, Ms. Brackemyer gets 4 new pencils until she has 52.
41.
Evaluate f(-2) if f(x) = -1/2x + 3
a)
2
b)
-2
c)
4
d)
-1
42.
Function notation
If f(t) = t2 - t,find f(-8)
a)
-72
b)
-56
c)
56
d)
72
43.
If f(x) is a one-to-one function and
f(2) = 5, what is f-1(5)?
a)
2
b)
5
c)
undefined
d)
1/5
44.
If f(x)=x+5, what is f-1(x)?
a)
(x + 5)2
b)
x - 5
c)
(x + 5)-1
d)
undefined
45.
If f(x)=3x, what is f-1(x)?
a)
x/3
b)
3x2
c)
3x + 3x
d)
3x-1
46.
Given f(x) = 2x and g(x) = x2+3 , find f(g(x)).
a)
x2+2x+3
b)
4x2+3
c)
2x2+3
d)
2x2+6
47.
Given f(x)= -3x+7 and g(x)=2x2 - 8, find f(g(x)).
a)
f(g(x))= -6x2+31
b)
f(g(x))= -6x2+24
c)
f(g(x))=18x2-84x+6
d)
f(g(x))=9x2-42x-1
48.
f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))
g(x) = x - 2
Find g(f(-10))
a)
-42
b)
-26
c)
-18
d)
None of these.
49.
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.
50.
f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)
g(x) = x - 2
Find (f∘g)(0)
a)
16
b)
4
c)
-4
d)
None of these.
51.
f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))
g(x) = x - 2
Find g(f(-10))
a)
-42
b)
-26
c)
-18
d)
None of these.
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