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Review 5-11

Total questions: 56

Worksheet time: 14hrs 0mins

Name
Class
Date
1.

What is the y-intercept of this parabola?

a)

(6, 0)

b)

(-2, 0)

c)

(-4, -2)

d)

(0, 6)

2.

What is the axis of symmetry of this parabola?

a)

-4

b)

x = -4

c)

x = -2

d)

y = -4

3.

Identify the function graphed here.

a)

f(x)=(x+4)22f\left(x\right)=\left(x+4\right)^2-2  

b)

f(x)=(x4)22f\left(x\right)=\left(x-4\right)^2-2  

c)

f(x)=(x+4)22f\left(x\right)=-\left(x+4\right)^2-2  

d)

f(x)=(x4)22f\left(x\right)=-\left(x-4\right)^2-2  

4.

Which of the following is a quadratic function that has a vertex at (2, -7) and opens up?

a)

f(x)=(x+2)27f\left(x\right)=\left(x+2\right)^2-7  

b)

f(x)=(x+2)27f\left(x\right)=-\left(x+2\right)^2-7  

c)

f(x)=(x2)27f\left(x\right)=-\left(x-2\right)^2-7  

d)

f(x)=(x2)27f\left(x\right)=\left(x-2\right)^2-7  

5.
Does this graph in the back have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
6.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
7.
Which of the following inequalities matches the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤  2/5x + 1
d)
y ≥ -2/5x - 1
8.
Which of the following inequalities matches the given graph?
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
9.
What is the equation of the line?
a)
y = -3/4x + 3
b)
y = 4/5x + 3
c)
y = -4/5x + 3
d)
y = -4/5x
10.
Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.
a)
h = 2C + 15
b)
C = 15h + 2
c)
h = 15C + 2
d)
C = 2h + 15
11.

On Monday Joe bought 10 cups of Coffee and 5 Doughnuts for his office at the (total) 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

b)

10c + 5d = 16.50

5c + 10d = 14.25

c)

c + d = 10

5c + 10d = 16.50

12.

Find the vertex:
y=x210x+12y=x^2-10x+12  

a)

(0, 0)

b)

Not enough info

c)

(5, -13)

d)

(-13, 5)

13.

The amount of cola in a soda machine decreases by a rate of 5% each hour. The amount of cola in the machine was originally 75 gallons.

Which function models the amount of cola in gallons after h hours?

a)

f(h) = 75(-5)h

b)

f(h) = -5(75)h

c)

f(h) = .95(75)h

d)

f(h) = 75(.95)h

14.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
15.

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. Would the equation for the value of the printer show Exponential Growth or Decay?

a)

DECAY

b)

GROWTH

16.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
17.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
18.
What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21
a)
(3,-9)
b)
(-3,-9)
c)
(-3,9)
d)
(0,1)
19.
Solve  the system of equations.  
   x + 5y = -27
-2x - 5y = 24
a)
(3, 6)
b)
(-3, -6)
c)
(-3, -4)
d)
(3, -6)
20.
f(x) is the same thing as ______.
a)
y
b)
x
c)
input
d)
an equation
21.
Given h(x) = 5 - 9x, find h(8). 
a)
h(8) = -360
b)
h(8) = -67
22.
What is f(1)?
a)
1
b)
5
c)
0
d)
4
23.
For the function f(x) = -3(x-1) find f(0).
a)
0
b)
-3
c)
3
d)
-1
24.
Evaluate f(-2) if f(x) = x2+ 3
a)
-1
b)
1
c)
7
d)
-7
25.
Identify the range of the following function when given the domain { 2, 3, 10}:
y = 4x - 12
a)
4, 12, 20
b)
-20, 0, 28
c)
-4, 0, 28
d)
8, 12, 40
26.
Simplify:
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
27.
 2x3(x2−2x − 3)
a)
2x6- 4x3 - 6x3
b)
2x5−4x4 − 6x3
c)
-2x5−4x4 − 6x3
d)
-2x6−4x3 − 6x3
28.

Does the image represent a function? Or a non-function?

a)

Function

b)

Not a Function

29.

Function or not a function?

a)

Function

b)

Not a Function

30.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
31.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
32.

Is the graph even, odd, both or neither?

f(x) = 4x

a)

Even

b)

Odd

c)

Neither

d)

Both

33.

Is the graph even, odd, both, or neither?

f(x) = x2 + 2

a)

Even

b)

Odd

c)

Neither

d)

Both

34.

Is f(x) = x3 – x2 even, odd, both, or neither?

a)

even

b)

odd

c)

neither

d)

both

35.
Which one of the following functions is odd?
a)
f(x) = 3x⁴ - 4x³
b)
g(x) = 5x⁴ + 3x²
c)
h(x) = 6x⁵ - x³
d)
k(x) = x⁶ + 8x²
36.

Describe the transformations below: (x+1)24\left(x+1\right)^2-4  

a)

left: 1, up: 4

b)

left: 1, down: 4

c)

right: 1, up: 4

d)

right: 4, up: 1

37.

Determine the vertex from the following equation: 3(x4)2+1-3\left(x-4\right)^2+1  

a)

Vertex: (4,1)

b)

Vertex: (-4, -1)

c)

Vertex: (4, -1)

d)

Vertex: (-4, 1)

38.

Determine the vertex from the following equation: 12(x+4)2+1\frac{1}{2}\left(x+4\right)^2+1  

a)

Vertex: (-4, 1)

b)

Vertex: (-4, -1)

c)

Vertex: (4, 1)

d)

Vertex: (4, -1)

39.
What is the vertex?
a)
(4,-4)
b)
(2,0)
c)
(0,2)
d)
(6,0)
40.

The equation for the axis of symmetry line is x = -b/(2a)

a)

true

b)

false

41.
What's the axis of symmetry of y = 3x- 6x + 4
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
42.
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
43.

14x + 12 < 9x -3

a)

x < -3

b)

x < 8

c)

x < -8

d)

x > -3

44.
Solve
a2 + 2a - 24 = 0
a)
a = -6, 4
b)
a = 6, -4
c)
a = 12, -2
d)
a = 8, -3
45.
What are the zeros?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
46.

What are the roots of the function?

a)

x = 4, -1

b)

(-4, 1)

c)

x = -4, 1

d)

(4, 0) (-1, 0)

47.

Describe the transformation

f(x)+3f\left(x\right)+3  

a)

3 Units Up

b)

3 Units Down

c)

3 Units Left

d)

3 Units Right

48.

Describe the transformation

f(x2)f\left(x-2\right)  

a)

2 Units Up

b)

2 Units Down

c)

2 Units Left

d)

2 Units Right

49.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
50.
Is (-2,4) a solution to the system?
a)
Solution
b)
Not a solution
51.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
52.
√49
a)
rational 
b)
irrational
53.
9/4
a)
rational 
b)
irrational
54.
4.85768576...
a)
rational
b)
irrational
55.
23.87387487...
a)
rational 
b)
irrational
56.
a)
rational 
b)
irrational