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Unit 0 Review

Total questions: 56

Worksheet time: 2hrs 57mins

Name
Class
Date
1.

What is the transformation?

  • - f(x) + 9

a)

Reflect over the x-axis, up 9

b)

Reflect over the y-axis, up 9

c)

Reflect over the x-axis, down 9

d)

Translate right 9 units

2.

What is the transformation?

f(x +3)

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3

3.

What is the transformation?

1/2 F(x) +2

a)

Vertical shrink by a factor of 1/2, up 2

b)

Vertical stretch by a factor of 2, down 2

c)

Horizontal shrink by a factor of 1/2, up 2

d)

Vertical shrink by a factor of 2, up 2

4.

What is the transformation?

5F(x) +1

a)

Vertical stretch by a factor of 5, up 1

b)

Vertical compression by a factor of 5, down 1

c)

Horizontal stretch by a factor of 5, up 1

d)

Vertical stretch by a factor of 1/5, up 1

5.

What is the transformation?

  • - f(x-2) -4

a)

Reflect over the x-axis, right 2, down 4

b)

Reflect over the y-axis, left 2, up 4

c)

Rotate 90 degrees clockwise, up 2, right 4

d)

Translate left 2, up 4

6.

What is the transformation?

-2 f(x+1) - 3

a)

Reflect over the x-axis, vertical stretch by a factor of 2, left 1, down 3

b)

Reflect over the y-axis, vertical stretch by a factor of 2, right 1, up 3

c)

Reflect over the x-axis, horizontal stretch by a factor of 2, left 1, up 3

d)

Reflect over the y-axis, vertical shrink by a factor of 2, left 1, down 3

7.

Directions: Create a function based on the following transformations. #7 Down 2, Left 7 Write the function:

a)

f(x + 7) - 2

b)

f(x - 7) + 2

c)

f(x - 2) + 7

d)

f(x + 2) - 7

8.

Directions: Create a function based on the following transformations. #8 Reflect over the x-axis, Up 6 Write the function:

a)

-f(x) + 6

b)

f(x) + 6

c)

-f(x) - 6

d)

f(x) - 6

9.

Directions: Create a function based on the following transformations. #9 Stretch by a factor of 4, Right 5, Down 2 Write the function:

a)

4f(x - 5) - 2

b)

f(4x - 5) - 2

c)

4f(x + 5) + 2

d)

f(x - 5) - 8

10.

Directions: Create a function based on the following transformations. #10 Shrink by a factor of 5, Left 3, Up 8 Write the function:

a)

(1/5)f(x + 3) + 8

b)

5f(x - 3) - 8

c)

(1/5)f(x - 3) + 8

d)

5f(x + 3) + 8

11.

Create a function based on the following transformations. #11 Reflect over the x-axis, Stretch by a factor of 7, Down 3

a)

-7f(x) - 3

b)

7f(x) - 3

c)

-7f(x) + 3

d)

7f(x) + 3

12.

Directions: Create a function based on the following transformations. #12 Shrink by a factor of 9, Right 8, Down 4 Write the function:

a)

(1/9)f(x - 8) - 4

b)

9f(x + 8) + 4

c)

f(9x) - 4

d)

(1/9)f(x + 8) + 4

13.

What is the domain of the graph?

a)

x ≥ -5

b)

x ≤ 5

c)

-5 ≤ x ≤ 5

d)

-5 ≤ x ≤ 9

e)

All real numbers

14.

What is the range of the graph?

a)

y ≥ -5

b)

y ≤ 5

c)

-5 ≤ y ≤ 5

d)

-5 ≤ y ≤ 9

15.

What is the domain of the graph?

a)

x ≥ -6

b)

-7 ≤ x ≤ 3

c)

-8 ≤ x ≤ 4

d)

x ≤ -6

e)

All real numbers

16.

What is the range of the graph?

a)

y ≥ -6

b)

-7 ≤ y ≤ 3

c)

-8 ≤ y ≤ 4

d)

y ≤ -6

e)

All real numbers

17.

What is the domain of the graph?

a)

x ≥ 1

b)

1 ≤ x ≤ 5

c)

1 ≤ x ≤ 4

d)

x ≤ 5

e)

All real numbers

18.

What is the range of the graph?

a)

y ≥ 1

b)

1 ≤ y ≤ 5

c)

1 ≤ y ≤ 4

d)

y ≤ 5

e)

All real numbers

19.

What is the domain of the graph?

a)

-3 ≤ x ≤ 3

b)

-2 ≤ x ≤ 3

c)

-3 ≤ x ≤ 4

d)

-3 ≤ x ≤ 4

e)

All real numbers

20.

What is the range of the graph?

a)

-3 ≤ y ≤ 3

b)

-2 ≤ y ≤ 3

c)

-3 ≤ y ≤ 4

d)

-3 ≤ y ≤ 4

e)

All real numbers

21.
What is the domain?
a)
-3 < y ≤ 3
b)
-4 ≤ y ≤ 5
c)
-4 ≤ x ≤ 5
d)
-3 < x ≤ 3
22.
What is the RANGE?
a)
(-∞, ∞)
b)
(-2, ∞)
c)
[-2, ∞)
d)
(-∞, 0) U (0, ∞)
23.
What is the range?
a)
(-4,5]
b)
[-4,5)
c)
(-3,3)
d)
[-3,3]
24.
What is the domain of the graph?
a)
[-7, 5)
b)
(-7, 5]
c)
[-3, 1)
d)
(-3, 1]
25.
What is the domain of the graph?
a)
y≥1
b)
x ≥ 1
c)
All real numbers
d)
none of these
26.
What is the range of the graph?
a)
y≥1
b)
x≥1
c)
All real numbers
d)
none of these
27.
What is the domain?
a)
x = 2
b)
−∞ < x < ∞
c)
y = 2
d)
none of these
28.
What is the proper domain?
a)
x≥0
b)
y≥0
c)
All real numbers
d)
{0, 1, 2, 3, 4,...}
29.
What is the proper range?
a)
x≥0
b)
y≥0
c)
All real numbers
d)
{0, 1, 2, 3, 4,...}
30.
What is the Domain of this linear function?
a)
-6 ≤ x ≤ 6
b)
0 ≤ x ≤ 7
c)
2 ≤ x ≤ 7
d)
No Solution
31.
What is the Range of this linear function?
a)
-6 ≤ y ≤ 6
b)
0 ≤ y ≤ 6
c)
No Solution
d)
4 ≤ y ≤ 3
32.
Which of the following graphs have a domain of -4<x≤6?
a)
A
b)
B
c)
C
d)
D
33.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
34.
S = 3F - 24  Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
35.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
36.
pV = nRT
solve for R
a)
R= pV/nT
b)
R= p/n + V/T
c)
R= pV - nT
d)
R= (pV-n)/T
37.
Solve -2 = 4r + s for s.
a)
s = -2 + 4r
b)
s = 2 - 4r
c)
s = -2 - 4r
d)
s = 2 + 4r
38.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
39.
Solve the equation for y. 
2x + 3y = 4
a)
y = (4-2x)/3
b)
y = (2x-4)/3
c)
x  = (4-3y)/2
d)
y = (4-2x)/ -3
40.
ax + c = R
(solve for x) 
a)
ax = R + c
b)
ax = R - c
c)
x = a(R-c)
d)
x = (R-c) / a 
41.

Solve for p
A = 12paA\ =\ \frac{1}{2}pa

a)

A−12a = pA-\frac{1}{2}a\ =\ p

b)

2Aa=p\frac{2A}{a}=p

c)

A2a=p\frac{A}{2a}=p

d)

2A−a = p2A-a\ =\ p

42.

Solve for d
C = πdC\ =\ \pi d

a)

C − π=dC\ -\ \pi=d

b)

C + π=dC\ +\ \pi=d

c)

πC=d\pi C=d

d)

Cπ=d\frac{C}{\pi}=d

43.

Solve for the variable.

9x −3 = −14x + 209x\ -3\ =\ -14x\ +\ 20  

a)

x = -2

b)

x = 1

c)

x = 4

d)

x = -8

44.

Find the solution.

8x + 4 −10x = 3 − 9x + 158x\ +\ 4\ -10x\ =\ 3\ -\ 9x\ +\ 15  

a)

x = 2

b)

x = -1

c)

x = 12

d)

x = 6

45.

Which operation will undo multiplication?

a)
A.  Addition
b)
B. Subtraction
c)
C. Multiplication
d)
D. Division
46.

Find the value of the variable that makes the equation true.

−5(3x − 2) = 40-5\left(3x\ -\ 2\right)\ =\ 40  

a)

x = 3

b)

x = 1

c)

x = -2

d)

x = -4

47.

Solve for w.

−4(3w + 4) − 14 = 3(2w − 4) − 9w-4\left(3w\ +\ 4\right)\ -\ 14\ =\ 3\left(2w\ -\ 4\right)\ -\ 9w  

a)

w = -4

b)

w = -2

c)

w = 1

d)

w = 5

48.
What is the solution to the equations?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
49.

What would be the SECOND step in solving the equation below?

x5+7 =−12\frac{x}{5}+7\ =-12  

a)

Subtract 7 from both sides

b)

Add 12 to both sides

c)

Multiply by 5 on both sides

d)

Divide by 5 on both sides

50.

Solve for w:

2w5−9=11\frac{2w}{5}-9=11  

a)

w=50w=50  

b)

w=10w=10  

c)

w=32w=32  

d)

w=23w=23  

51.

Solve 8y+3=278y+3=27  

a)

y=3y=3  

b)

y=−3y=-3  

c)

y=154y=\frac{15}{4}  

d)

y=16y=16  

52.

Solve 9a+4=409a+4=40  

a)

a=4a=4  

b)

a=449a=\frac{44}{9}  

c)

a=27a=27  

d)

a=35a=35  

53.

Solve the equation:


7x = 21

a)

x = 14

b)

x = 28

c)

x = 3

d)

x = 147

54.
2 + n =16
a)
18
b)
-18
c)
14
d)
-14
55.
Solve:
2x + 1 = 2x - 1
a)
No Solution
b)

One Solution

c)
Infinitely Many Solutions
56.
Solve:
3x + 15 = 3(x + 5)
a)
No Solution
b)

One Solution

c)
Infinitely Many Solutions