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WorksheetsUnit 1 Review
Total questions: 16
Worksheet time: 4hrs 0mins
Name
Class
Date
1.
Are these functions inverses of each other?
a)
Yes
b)
No
2.
The inverse has been reflected over which line?
a)
y = x
b)
y =1
c)
y = 0
d)
y = x + 1
3.
What is the inverse of the function
f(x) = 2x + 4 ?
f(x) = 2x + 4 ?
a)
f-1(x) = 4(x -2)
b)
f-1(x) = (x-4)/2
c)
f-1(x) = x/2 - 4
d)
f-1(x) = x/4 + 2
4.
What is the first step in finding the equation of the inverse of a function?
a)
get x by itself
b)
switch x and y
c)
solve for y
d)
write the function in inverse function notation
5.
What is the inverse of the function
f(x) = 2x + 4 ?
f(x) = 2x + 4 ?
a)
f-1(x) = 4(x -2)
b)
f-1(x) = (x-4)/2
c)
f-1(x) = x/2 - 4
d)
f-1(x) = x/4 + 2
6.
f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x).
g(x) = 5x-7
Find f(x)+g(x).
a)
14x-10
b)
-8x+2
c)
2x+2
d)
2x-2
7.
f(x) = x2+9
g(x) = x-9
Find f(x)-g(x).
g(x) = x-9
Find f(x)-g(x).
a)
x2+x+9
b)
x2-x+9
c)
x2-x
d)
x2-x+18
8.
Given
f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f + g)(x).
f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f + g)(x).
a)
11x2 - 1
b)
5x4 + 6x2 - 1
c)
5x2 + 6x - 1
d)
5x2 + 8x - 1
9.
f(x)=x2+1
g(x)=2x-5
Find f(x)-g(x)
g(x)=2x-5
Find f(x)-g(x)
a)
x2-2x+6
b)
-x2+2x+4
c)
-x2-2x-6
d)
x2-2x-4
10.
f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)
g(x) = x+3,
Find f(x) * g(x)
a)
4x2+24
b)
4x2+20x+24
c)
4x2+12x+24
d)
4x2+4x+24
11.
-4x-2y=-12
4x+8y=-24
4x+8y=-24
a)
(5,6)
b)
(6,-6)
c)
(6,-2)
d)
(4,-3)
12.
4x+8y=20
-4x+2y=-30
-4x+2y=-30
a)
(-7,1)
b)
(2,-5)
c)
(-2,5)
d)
(7,-1)
13.
x-y=11
2x+y=19
2x+y=19
a)
(10,-1)
b)
(-1,10)
c)
(3,-4)
d)
(6,7)
14.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450
3x + 2y = 315
2x + 4y = 450
a)
45 minutes
b)
90 minutes
2x + 4y = 315
2x + 4y = 315
c)
60 minutes
3x + 4y = 450
3x + 4y = 450
d)
30 minutes
15.
Solve the system
a)
(5, 2, 5)
b)
(4, 2, -1)
c)
(5, -1, 1)
d)
(2, -1, 1)
16.
Solve the system
a)
(-3, 6, 6)
b)
(1, 1, 1)
c)
(-2, 6, 5)
d)
(-1, 2, 6)
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