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FINAL EXAM REVIEW

Total questions: 71

Worksheet time: 6hrs 35mins

Name
Class
Date
1.
Which function has a translation of 2 units right and a vertical stretch by a factor of 5?
a)
f(x)= 5(x - 2)2
b)
f(x) = 5(x + 2)2
c)
f(x) = (x - 2)2 - 5
d)
f(x) = (x + 2)2 + 5
2.
Which ordered pair below would prevent this table from being a function?
a)
(10, 10)
b)
(2, 4)
c)
(6, 1)
d)
(-2, 0)
3.
Write a linear function f given f(5) = 7 and f(-2) = 0
a)
f(x) = -x + 2 
b)
f(x) = x - 2 
c)
f(x) = x + 2
d)
f(x) = -x - 2 
4.
A function is: f(x)=7+3x
Find f(10)
a)
1
b)
37
c)
317
d)
20
5.
Which graph is NOT a function?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
6.
A car tire fully inflated is losing 2.5% of its air everyday. The tire originally contained 4500 cubic inches of air. Which equation could be used to represent the loss of air
a)
A=4500(1+2.5)^t
b)
A=4500(1+.025)^t
c)
A=4500(1-.025)^t
d)
A=4500(1-2.5)^t
7.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
8.
Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.
a)
x + y = 33
y = 2x - 3
b)
x + y = 33
x = 2y - 3
c)
x + y = 33
x = 3 - 2y
d)
x + y = 3
x = 33 - 2y
9.
The equations of two lines are:
 2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?
a)
x=8
b)
x=3
c)
x=11
d)
x=5
10.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
11.
write the equation
a)
15 + 6p = 75
b)
15- 6p = 75
c)
15 + 75 = 6p
d)
15 -75 = 6p
12.
Find the Slope from the Pair of Points
 (-4,-5) (4,5) slope = _____
a)
4/5
b)
-5/4
c)
5/4 
d)
-4/5
13.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
14.
-31-4x=-5-5(1+5x)
a)
2
b)
1
c)
-1
d)
4
15.
3(1-3x)=2(-4x+7)
a)
11
b)
-11
c)
-20
d)
20
16.
Write a rule for the following table:
x:      -2     -1     0     1     2     3
-------------------------------
y:       -3     0      3     6     9     12
a)
y = 3x -1
b)
y = 3 + 3x
c)
y = -3x -2
d)
y = x + 3
17.
What are the roots of the function
f(x)= (x - 2)(x + 3)?
a)
x = - 2 or x = 3
b)
x = 2 or x = -3
c)
The are no real roots
d)
x = 2 or x = 3
18.
A party charges $5 admission for each person.
a)
Linear
b)
Exponential
c)
Neither
19.
Factor
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
20.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
21.
What is the slope between the points
(-3, -4) & (7, 6)?
a)
0
b)
Undefined
c)
-1
d)
1
22.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
23.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
24.
40 = 
a)
0
b)
1
c)
4
d)
-4
25.
Simplify completely
a)
3x⁵y⁷
b)
(1/3)x⁻⁷y⁵
c)
y⁵/3x⁷
d)
1/3x²
26.
|x+3| = 7
a)
4
b)
-4
c)
4 and - 4
d)
4 and - 10
27.
Simplify.
a2 b0 a-3
a)
a
b)
1/a
c)
ab
d)
1/(a3)
28.
If g(x) = 2x2 - 4, find g(-2)
a)
-8
b)
-12
c)
4
d)
0
29.
Which of the following relations represents y as a function of x?
I. {(1, 4), (2, 5), (3, 6)}
II. {(1, 4), (2, 4), (3, 4)}
III. {(1, 4), (2, 4), (1, 3)}
IV. {(1, 4), (1, 2), (1, 3)}
a)
I, II, and III only
b)
II and IV only
c)
III and IV only
d)
I and II only
30.
Which of the graphs shown does NOT represent a function?
a)
A
b)
B
c)
C
d)
D
31.
What is the equation of the line parallel to
y = 3x - 8 that passes through the point (4, 2)?
a)
y = 3x - 8
b)
y = 3x - 2
c)
y = 2x - 8
d)
y = 3x - 10
32.
What are the following equations?
y = 3x - 5
6x - 2y = 10
a)
Parallel
b)
Identical
c)
Perpendicular
d)
Intersecting
33.
What is the equation of the line?
a)
y = 5x - ⅔
b)
y = ⅔x - 5
c)
y = -5x + ⅔
d)
y = -⅔x + 5
34.
What is the equation for this line?
a)
y = 5
b)
x = 5
c)
y = -5
d)
x = -5
35.
Given the list of ordered pairs, what is the x-intercept?
(8,10),  (3, -4),  (0, 8), (4, -3), (9, 0)
a)
(8,10)
b)
8, 3, 0, 4, 9
c)
(0,8)
d)
(9,0)
36.
Find the slope
a)
0
b)
undefined
c)
-3
d)
6
37.
Rachel and Sharon are splitting up their Pokemon cards.  Rachel has 4 fewer than 3 times as many as Sharon.  Together they have 100 cards.  Which equation could be used to solve for how many cards Sharon had originally?
a)
n + (3n - 4) = 100
b)
n - (3n - 4) = 100
c)
n + (4 - 3n) = 100
d)
4 - 3n = 100
38.
Write an equation that is parallel to y = 3x + 5 and going thru (2,5). 
a)
y = 3x + 1
b)
y = 3x + b
c)
y = -3x -1
d)
y = -3x + 1
39.
Solve for x:
4 - 5x < 22 - 2x
a)
x > -6
b)
x < -6
c)
x > 6
d)
x < 6
40.
Write the equation of the line with slope = 5 and that goes through point (3, -5)
a)
y = 5x - 5
b)
y = 5x - 20
c)
y = 5x + 20
d)
y = 5x + 15
41.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
42.
True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
43.

Identify the 'b' value: y = 16x2 -8x -24

a)

16

b)

-8

c)

8

d)

-24

44.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
45.
Which answer choice describes  y = -3x2 +7x - 2 accurately?
a)
opens up with a maximum
b)
opens up with a minimum
c)
opens down with a maximum
d)
opens down with a minimum 
46.
y=2x2-6x+1 is in what form?
a)
Vertex Form
b)
Factored form
c)
Standard Form 
d)
Cannot be determined
47.
y=2x2-6x+1 is in what form?
a)
Vertex Form
b)
Factored form
c)
Standard Form 
d)
Cannot be determined
48.
.How many zeros does this parabola have? 
a)
3
b)
2
c)
0
d)
1
49.
Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3
a)
Minimum value, because the a value is positive
b)
Maximum value, because the b value is positive
c)
Maximum value, because the a value is positive
d)
Minimum value, because the c value is negative
50.
What is the domain of f(x)=x²-4 ?
a)
−∞ ≤ x ≤ +∞
b)
 x ≥ -4
c)
−∞ ≤ y ≤ +∞
d)
 y ≥ -4
51.
Solve the equation using the quadratic formula.
a)
A
b)
B
c)
C
d)
D
52.
What is the arrow pointing at? How can you use this value?
a)
The arrow is pointing at the y-intercept. The x-value is the axis of symmetry and the y-value of this point is equivalent to the maximum/minimum 
b)
The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum and the y-value is the axis of symmetry
c)
The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum
d)
The arrow is pointing at the vertex. The x-value is the axis of symmetry and the y-value is equivalent to the minimum/maximum
53.
Solve the equation using the quadratic formula.
a)
A 
b)
B 
c)
C 
d)
D 
54.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
55.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
56.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
57.

An office purchases boxes of chocolates.

■ Each box contains 100 chocolate bars.

■ Each box costs $20.

How much does the office have to sell each chocolate bar to make a $15 profit on each box?

a)

$0.20

b)

$0.35

c)

$2.86

d)

$5.00

58.

Force and acceleration are related by the equations F= ma, where m is the mass and a is the acceleration of the object. Which equation gives m in terms of F and a?

a)

m = Fa

b)

m = F/a

c)

m = a/F

d)

m = Fma

59.

The table below shows the average height of a tree and the amount of years that it has been growing.

What is the average rate of change in height of the tree from Year 1 to Year 5?

a)

1 foot per year

b)

1.25 feet per year

c)

1.5 feet per year

d)

2.0 feet per year

60.

Joey compared the y-intercept of the graph of the function f(x) = 5x + 7 to the y-intercept of the graph of the linear function that includes the points in the table

given.


What is the difference when the y-intercept of f(x) is subtracted from the y-intercept of g(x)?

a)

−12

b)

−2

c)

2

d)

12

61.

Internet Company A charges $5 a month plus $0.05 per minute, x. Internet Company B charges $0.10 per minute, but does not charge a start-up fee like Company A does. Which function represents the difference in cost between Company A and Company B?

a)

f(x) = 5x - 0.05

b)

f(x) = 5x + 0.05

c)

f(x) = 0.05x - 5

d)

f(x) = -0.05x + 5

62.

Sara did an experiment to compare two methods of cooling an object. The results are shown in the table given.


Which statement best describes her results?

a)

The temperature using Method 1 changed exponentially.

b)

The temperature using Method 1 changed at a constant rate.

c)

The temperature using Method 2 changed exponentially.

d)

The temperature using Method 2 changed at a constant rate.

63.

The boiling point of water, T(measured in degrees), at an altitude, a (measured in feet), is modeled by the function T(a)= −0.0018a + 212. In terms of altitude and temperature, which statement described the meaning of the y - intercept.

a)

The boiling point of water at an altitude of -0.0018 feet is 212 degrees.

b)

The boiling point of water at an altitude of 0 is 212 degrees.

c)

The boiling point of water at an altitude of 0 is 211.998 degrees.

d)

The boiling point of water at an altitude of 212 feet is -0.0018 degrees.

64.
Find the difference. 
(3 - 2x + 2x2) - (4x - 5 + 3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
65.
Which is a zero of the graph?
a)
0
b)
-1
c)
1.5
d)
-3
66.
Simplify the expression.
-3x2( 7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
67.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
68.
Which function is linear?
a)
f(x)
b)
h(x)
c)
g(x)
69.
Find the vertex of 
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
70.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
71.

The length of a rectangle is 6 meters more than the width. The area is 72 square meters. Find the length and width.

a)

Length = 6, Width = 12

b)

Length = 18, Width = 4

c)

Length = 12, Width = 6

d)

Length = 4, Width = 6

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