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A Regents Review 175

Total questions: 175

Worksheet time: 10hrs 13mins

Name
Class
Date
1.

What is the vertex of this quadratic equation?

y = 2(x + 2)2 + 4

a)

(-2,4)

b)

(2,4)

c)

(4,-2)

d)

(-4,-2)

2.
What is the vertex of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
3.
Where is the axis of symmetry for this parabola?
a)
x = −1
b)
x = 0
c)
y = 3
d)
x = −3
4.

What do we call the graph of a quadratic function?

a)

parabola

b)

linear

c)

cubic

d)

sinusoidal

5.
Does the quadratic have a max/min vertex, and does the parabola open up/down?
a)
max/ opens down
b)
min/ opens up
c)
max/ opens up
d)
min/ opens down
6.

The axis of symmetry is a line that goes through the...

a)

y-intercept

b)

any random point

c)

vertex

d)

x-axis or y-axis

7.

Does this graph have a maximum or a minimum?

a)

maximum

b)

minimum

8.

What is the vertex and Axis of Symmetry for the parabola shown on the grid?

a)

Vertex (3,8) A.O.S. x = 3

b)

Vertex (3,8) A.O.S y = 3

c)

Vertex (8,3) A.O.S x = 3

d)

Vertex (8,3) A.O.S y = 3

9.

Which coordinate point best represents the vertex of the parabola?

a)

(-4, 0)

b)

(-1, -9)

c)

(0, -8)

d)

(2, 0)

10.

What are the x-intercept(s) of the parabola shown on the grid?

a)

(-1,0) and (-3,0)

b)

(1,0) and (3,0)

c)

(0,-3)

d)

(0,1) and (0,3)

11.

What is the equation of the axis of symmetry?

a)

y=0

b)

y=3

c)

x = 3

d)

x = 0

12.

What are the zero(s) of the function on the grid?

a)

0 and 4

b)

4

c)

0

d)

2 and 4

13.

What is the significance of the ordered pair (2, -4) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

14.
What are the green dots called?
a)
y-intercepts
b)
maximum
c)
minimum
d)
roots/x-intercepts
15.

How many solutions/roots does this graph have?

a)
one
b)
two
c)
no solutions
d)
cannot be determined
16.

Only one is true:

a)

The vertex is (2,-4)

b)

The y-intercept is 2

c)

The axis of symmetry is y=2

d)

The range is y4y\le-4  

17.

What are the roots?

a)

0 and 4

b)

2 and -4

c)

y=2

d)

x = 0

18.

What is the axis of symmetry?

a)

x=3x=3  

b)

y=3y=-3  

c)

x=3x=-3  

d)

y=2y=-2  

19.
Find the vertex of 
f(x) = -x- 4x + 12
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
20.
What is the axis of symmetry for the following equation?
y=4x2-8x+9
a)
x=-8
b)
x=1
c)
x=-1
d)
x=2
21.
What is the equation of the graph below? You can click the picture to zoom in!
a)
f(x) = I x + 2 I 
b)
f(x) = I x  I + 2
c)
f(x) = I x  I - 2
d)
f(x) = I x - 2 I 
22.
Identify the zeros:
a)
x=-2, x=-1, x=0
b)
x=-2, x=0
c)
x=-1, x=0, x=2
d)
x=-2, x=0, x=1
23.
a)
a
b)
b
c)
c
d)
d
24.

What is the correct graph of the function?

a)
b)
c)
d)
25.
What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?
a)
-4, -1, 3
b)
3, -3, 4, 1
c)
4, 1, -3
d)
3, -4, -1, 3
26.
What is the solution? 
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
27.

Is the point (2, -1) a solution to the systems of equations below?


y=5x+3


y=-2x-4

a)

Yes

b)

No

28.
Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7
a)
yes
b)
no
29.
Find the solution.
a)
(4,2) and (0,9)
b)
(-4,-1) and (2,5)
c)
(5,3) and (5,2)
d)
(-4,2) and (5,9)
30.
a)

A

b)

B

c)

C

d)

D

31.

Which class has the higher median?

a)

1st period

b)

2nd period

c)

They have the same median

32.
Which interval has 400 employees?
a)
33-43
b)
0-10
c)
77-87
d)
66-76
33.
How many students scored between a 86 and a 90?
a)
1
b)
3
c)
6
d)
10
34.
What is the range of the data?
a)
4
b)
8
c)
6
d)
2
35.

How many students have a shoe size bigger than 8?

a)

2

b)

3

c)

4

d)

9

36.

What is the mode for this data set? Remember the mode is the most common or most frequent data.

a)

55

b)

60

c)

70

d)

75

37.
What is the minimum value?
a)
64
b)
58
c)
66
d)
60
38.
What is the maximum value?
a)
58
b)
66
c)
64
d)
60
39.
What data value is the upper quartile (Q3)?
a)
64
b)
62
c)
66
d)
58
40.
What is the interquartile range (IQR)?
a)
4
b)
64
c)
60
d)
8
41.

Determine the IQR for this set of data. 12, 13, 14, 15, 17, 18, 19, 19, 22, 23

a)

14

b)

5

c)

17.5

d)

19

42.
a)

The median test score is 80.

b)

The lower quartile is 65.

c)

The upper quartile is 90.

d)

The IQR is 30.

43.

What is the median of this data?

a)

40

b)

90

c)

100

d)

140

e)

150

44.

What kind of slope would the graph of the model have?

a)

Positive

b)

Negative

c)

There's no association

45.

Jackson says the slope of this line is 0.01. He's not sure if it is positive or negative. What is it?

a)

Positive

b)

Negative

46.

Which graph has a positive association?

a)

A

b)

B

c)

C

d)

D

47.
Which scatter plot shows a linear relationship between x and y?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
48.
What percentage of males drive sports cars?
a)
35%
b)
16.25%
c)
65%
d)
25%
49.
How many total people were surveyed about what ice cream flavor they would pick?
a)
107
b)
92
c)
70
d)
269
50.
What percent of people who play an instrument do not play a team sport?
a)
80%
b)
27.2%
c)
40%
d)
90.1%
51.
What is the percentage of students that are between the ages 10 - 13 and eat breakfast?
a)
About 33%
b)
About 50%
c)
About 40%
d)
About 44%
52.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

53.
Which scatter plot shows no relationship?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
54.
Determine the Correlation Coefficient and decide whether it is weak, moderate, or strong.
a)
-0.19 weak
b)
-0.19 moderate
c)
0.04 weak
d)
0.04 strong
55.
Find the mode:
3.8, 4.2, 4.0, 4.2, 4.2
a)
4.2
b)
3.8
c)
4.0
56.

Dr. Dre is a dentist. He needs to report on the average (Mean) number of cavities that his patients have.

1, 0, 1, 5, 0, 3, 4. What is the average number of cavities?

a)

14

b)

2

c)

7

d)

1

57.

Evaluate f(x)= -2x + 13 for f(10)

a)

-7

b)

1

c)

-8

d)

7

58.

The graph of f(x)= x2 was transformed to create the graph of g(x) = (x - 7)2. Which of these describes the transformation?

a)

A horizontal shift to the right 7 units

b)

A horizontal shift to the left 7 units

c)

A vertical shift down 7 units

d)

A vertical shift up 7 units

59.

The graph of a quadratic function is shown on the grid. Which equations best represents the axis of symmetry?

HINT: A.O.S. runs through vertex

a)

y = 6

b)

x = 2

c)

y = 4

d)

x = 0

60.
Which function represents exponential decay?
a)
f(x) = 100(0.9)x 
b)
f(x) = 10(1.09)x 
c)
f(x) = 1.9x
d)
f(x) = ½(9)x
61.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
62.
What is the equation for this line?
a)
y = x - 2
b)
y = x + 2
c)
y = 2x
d)
y = -x + 2
63.
If A = 3x2 - 6x  and B = 12x- 6x2, what is B - A?
a)
-9x2 + 18x
b)
9x2 - 18x
c)
-3x2 + 6x
d)
-3x2
64.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
65.
What is the Domain?
a)
{-3, -1, 1, 3, 5, 7, 9}
b)
{-3, -2, -1, 0, 1, 2, 3}
c)
-3 ≤ x ≤ 3
d)
-3 ≤ x ≤ 9
66.
What is the domain?
a)
{-4, -1, 0, 2, 7}
b)
{-5, -4, -1, 0, 1, 2, 4, 7}
c)
{-5, 0, 1, 2, 4}
d)
{5}
67.
What is the domain of the graph?
a)
-3 ≤ x ≤ 3
b)
3 ≤ x ≤ -3
c)
-2 ≤ x ≤ 10
d)
-3 ≤ x ≤ 10
68.
Which of the inequalities below best describes the domain of the function shown on the graph?
a)
-2 ≤ x ≤ 2
b)

-5 ≤ y ≤ -3

c)
-2 ≤ x ≤ 3
d)
-5 ≤ x ≤ 3
69.
A toy rocket is launched into the air, and the data from the rocket's flight is graphed below. What is the domain of the data collected?
a)
0≤ x ≤ 7
b)
0≤ x ≤ 8
c)
0≤ y ≤ 7
d)
0≤ y ≤ 8
70.

What is the Domain?

a)

-10 < x < 3

b)

-6 < x < 1

c)

-10 < y < 1

d)

-6 < x < 3

71.

What is the Range?

a)

-5 < y < 5

b)

-5 < y < 7

c)

-7 < x< 5

d)

-5 < x < 7

72.

Given f(x)=32x+5 what is f(12)?Given\ f\left(x\right)=\frac{3}{2}x+5\ what\ is\ f\left(12\right)?  

a)

432\frac{43}{2}  

b)

2020  

c)

2323  

d)

55  

73.

Given  f(x)=3x+2x1f\left(x\right)=\frac{3x+2}{x-1}  , What is f(2)f\left(2\right)  ?

a)

8

b)

5

c)

0

d)

undefined

74.
Evaluate f(5)
a)
1
b)
10
c)
13
d)
16
75.

f(3) =

a)

-2

b)

-1

c)

0

d)

1

e)

2

76.
a)
Function
b)
Not a Function
77.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
78.
a)
Function
b)
Not a Function
79.
a)
Function
b)
Not a Function
80.
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)
81.

Find
f(-2)

a)

8

b)

2.5

c)
3
d)

6

e)

-3

82.

If  f(x)=201.5xf\left(x\right)=20-1.5x
evaluate  f(6)f\left(6\right)  

(a)  

83.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
84.
Is the graph pictured a function?
a)
Yes
b)
No
85.

Which of the tables represents a function?

a)

Table A

b)

Table B

c)

Both Tables A & B represent functions

d)

Neither table represents a function

86.

Which value of w would allow these coordinates to represent a function?

{(4,-9), (6,0), (-3,2), (-5,7), (w,1)}

a)

-3

b)

-5

c)

6

d)

0

87.

What value of m would result in this table representing a function?

a)

3

b)

6

c)

2

d)

Any value of m would make this a function.

88.

What value of b would make this set of coordinates NOT a function?

{(-5,3), (-3,2), (0,4), (2,6), (-1,8), (b,-7)}

a)

-7

b)

-3

c)

4

d)

6

89.
The following polynomial is written in standard form:
7x3 - 11x2 + 8x - 5
a)
True
b)
False
90.
Put in Standard Form.
12 - 3x3 - 10x - x2
a)
 - 3x3 - x2 - 10x + 12
b)
 3x3 - x2 + 10x + 12
c)
12 - 3x3 - 10x - x2
It is in Standard Form.
d)
12 - 10x - 3x3 - x2
91.
Which polynomial is written in standard form?
a)
-3x + 8x2 + 9x3 - 11
b)
9x3 + 8x- 3x - 11
c)
8x+ 9x3 -11 - 3x
d)
-11 - 3x + 8x2 + 9x3
92.

What is the degree of this polynomial?

2x4 - 3x5 + x

a)

-3

b)

2

c)

4

d)

5

93.

What is the constant of this polynomial?

2x3 - 8x2 + 3x - 7

a)

7

b)

-8

c)

3

d)

-7

94.

What is the leading term of this polynomial?

4x3 + 8x5 - 4x2 + 1x

a)

1x

b)

8x5

c)

4x3

d)

-4x2

95.

What is the leading coefficient of the following?

2x3-8x5+3x-7

a)

2

b)

-8

c)

3

d)

-7

96.
Classify by the DEGREE:
4x3 - 5x2 + 2x - 1
a)
1
b)
2
c)
3
d)
4
97.
Classify this polynomial by its degree and number of terms:  x2 + 2x + 6
a)
Linear polynomial
b)
Quadratic trinomial
c)
Quadratic binomial
d)
Cubic trinomial
98.

Classify by number of terms:

5x2 – 6x + 3

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

99.
Which of the following is a 5th degree trinomial with a leading coefficient of -2? 
a)
-2x5 + 3x - 1
b)
5x-2 +3x - 1
c)
-2x5 + 3x4 + 2x3 + x2 - 10
d)
2x + 5
100.
Classify by the DEGREE:
4x3 - 5x2 + 2x - 1
a)
Degree of 1
b)
Degree of 2
c)
Degree of 3
d)
Degree of 4
101.
Classify by the DEGREE:
3x - 2
a)
Degree of 1
b)
Degree of 2
c)
Degree of 3
d)
Degree of 4
102.

The largest exponent found in the polynomial

a)

Term

b)

Degree

c)

Constant

d)

Leading Coefficient

103.

A polynomial that has two terms

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

104.

Identify the degree of the polynomial

5x4 - 3x2 + 2x6 - x + 7

a)

2nd degree

b)

4th degree

c)

5th degree

d)

6th degree

105.

Which of the following polynomials is written in standard form?

a)

9 + 8x - 2x2

b)

10x + x3 - 4x2 - 11

c)

x4 + 5x3 - 6x +1

d)

4x3 + 3x4 + 2x + 1

106.

What is the leading coefficient in the polynomial 3x2 - 2x + 5?

a)

3

b)

2

c)

5

d)

0

107.

Given the two polynomial expressions below select one which is in the standard form

x32x2+x4 ,  6+3x+x3x^3-2x^2+x-4\ ,\ \ -6+3x+x^3

a)

6+3x+x3-6+3x+x^3

b)

x32x2+x4x^3-2x^2+x-4

108.

Arrange the polynomial expression 7x2+2x4117x^2+2x^4-11 in standard form

a)

2x4+7x112x^4+7x-11

b)

7x2+2x4117x^2+2x^4-11

c)

11+7x2+2x4-11+7x^2+2x^4

109.
The following polynomial is written in standard form:
7x3 - 11x2 + 8x - 5
a)
True
b)
False
110.
Put in Standard Form.
12 - 3x3 - 10x - x2
a)
 - 3x3 - x2 - 10x + 12
b)
 3x3 - x2 + 10x + 12
c)
12 - 3x3 - 10x - x2
It is in Standard Form.
d)
12 - 10x - 3x3 - x2
111.
Which polynomial is written in standard form?
a)
-3x + 8x2 + 9x3 - 11
b)
9x3 + 8x- 3x - 11
c)
8x+ 9x3 -11 - 3x
d)
-11 - 3x + 8x2 + 9x3
112.

What is the degree of this polynomial?

2x4 - 3x5 + x

a)

-3

b)

2

c)

4

d)

5

113.

What is the constant of this polynomial?

2x3 - 8x2 + 3x - 7

a)

7

b)

-8

c)

3

d)

-7

114.

What is the leading term of this polynomial?

4x3 + 8x5 - 4x2 + 1x

a)

1x

b)

8x5

c)

4x3

d)

-4x2

115.

What is the leading coefficient of the following?

2x3-8x5+3x-7

a)

2

b)

-8

c)

3

d)

-7

116.
Classify by the DEGREE:
4x3 - 5x2 + 2x - 1
a)
1
b)
2
c)
3
d)
4
117.
Classify this polynomial by its degree and number of terms:  x2 + 2x + 6
a)
Linear polynomial
b)
Quadratic trinomial
c)
Quadratic binomial
d)
Cubic trinomial
118.

Classify by number of terms:

5x2 – 6x + 3

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

119.
Which of the following is a 5th degree trinomial with a leading coefficient of -2? 
a)
-2x5 + 3x - 1
b)
5x-2 +3x - 1
c)
-2x5 + 3x4 + 2x3 + x2 - 10
d)
2x + 5
120.
Classify by the DEGREE:
4x3 - 5x2 + 2x - 1
a)
Degree of 1
b)
Degree of 2
c)
Degree of 3
d)
Degree of 4
121.
Classify by the DEGREE:
3x - 2
a)
Degree of 1
b)
Degree of 2
c)
Degree of 3
d)
Degree of 4
122.

The largest exponent found in the polynomial

a)

Term

b)

Degree

c)

Constant

d)

Leading Coefficient

123.

A polynomial that has two terms

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

124.

Identify the degree of the polynomial

5x4 - 3x2 + 2x6 - x + 7

a)

2nd degree

b)

4th degree

c)

5th degree

d)

6th degree

125.

Which of the following polynomials is written in standard form?

a)

9 + 8x - 2x2

b)

10x + x3 - 4x2 - 11

c)

x4 + 5x3 - 6x +1

d)

4x3 + 3x4 + 2x + 1

126.

What is the leading coefficient in the polynomial 3x2 - 2x + 5?

a)

3

b)

2

c)

5

d)

0

127.

Given the two polynomial expressions below select one which is in the standard form

x32x2+x4 ,  6+3x+x3x^3-2x^2+x-4\ ,\ \ -6+3x+x^3

a)

6+3x+x3-6+3x+x^3

b)

x32x2+x4x^3-2x^2+x-4

128.

Arrange the polynomial expression 7x2+2x4117x^2+2x^4-11 in standard form

a)

2x4+7x112x^4+7x-11

b)

7x2+2x4117x^2+2x^4-11

c)

11+7x2+2x4-11+7x^2+2x^4

129.
Find the difference:
(2x + 7) - 3(5x - 4)
a)
-13x - 5
b)
17x + 5
c)
17x + 5
d)
-13x + 19
130.

Factor completely

x2 - 3x - 10

a)

2(x + 3)(x + 8)

b)

(x - 5)(x + 2)

c)

(x - 5)(x - 2)

d)

2(x + 2)(x - 5)

131.

Factor completely

4x2 + 16x - 84

a)

4(x - 7)(x + 3)

b)

(x - 7)(x + 3)

c)

4(x + 7)(x - 3)

d)

4(x - 7)(x - 3)

132.

Factor completely

16v2 - 1

a)

(4v + 1)(4v + 1)

b)

(16v + 1)(16v + 1)

c)

(4v + 1)(4v + 1)

d)

(4v + 1)(4v - 1)

133.
Multiply:
(4x+1)(5x−2)
a)
20x2 + 3x − 2
b)
20x2 − 11x + 5
c)
20x2 − 18x + 2
d)
20x2 − 3x − 2
134.
Simplify the expression.
-3x2( 7x- x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x+ 3x+ 12x2
d)
-12x+ 3x-21x4
135.
Subtract the following polynomials:
(2x³+6x²+4x-2)-(x³+4x²-x)
a)
x³+2x²+5x-2
b)
x³+10x²+3x-2
c)
3x³+2x+4x-3
d)
3x³+10x²-3x-2
136.
Add the following polynomials:
(x³-2x²+3)+(2x³+3x²-1)
a)
3x³-2x²+3x+2
b)
3x³+x²+2
c)
3x³-5x²-2
d)
3x³-x²+1
137.
Find the sum.
(2x+ 5x - 7) + (3 - 4x+ 6x)
a)
2x+ 3x + 1
b)
-2x- 11x - 4
c)
2x2 + 5x - 7
d)
-2x2 + 11x - 4
138.
Find the difference. 
(3 - 2x + 2x2) - (4x - 5 + 3x2)
a)
x2 + 6x + 8
b)
2x+ 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
139.
Factor
x+ 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
140.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
141.

Which of the following numbers is rational?

a)

7\sqrt{7}

b)

23\frac{2}{3}

c)

3.1456289...

d)

π\pi

142.

Which of the following numbers is not rational?

a)

3-3

b)

2.72.7

c)

4\sqrt{4}

d)

5\sqrt{5}

143.

Determine which of the following examples is irrational.

a)

A fraction whose denominator is larger than its numerator

b)

A decimal that never ends but repeats

c)

A perfect cube root

d)

A decimal that never ends and never repeats

144.

Which of the following number is rational?

a)

127\sqrt{127}

b)

π\pi

c)

2.52.5

d)

8.98763...8.98763...

145.

Classify the following:
64\sqrt{64}  

a)

Rational

b)

Irrational 

c)

Neither 

d)

Both 

146.

Classify the following:

34\frac{3}{4}  

a)

Rational

b)

Irrational

c)

Neither

d)

Both 

147.

Classify the following:

2\sqrt{2}  

a)

Rational

b)

Irrational

c)

Both

d)

Um... 

148.

Which of the following numbers IS NOT rational?

a)

3-3

b)

2.72.7

c)

4\sqrt{4}

d)

5\sqrt{5}

149.

Which of the following is an irrational number?

a)

0.333

b)

8\sqrt{8}

c)

49\sqrt{49}

d)

522\frac{5}{22}

150.
a)
11√5
b)
11√10
c)
5√5
d)
12√10
151.
a)
7√3
b)
Can't Simplify
c)
6√15
d)
6√3
152.

Simplify:
625146\sqrt{2}\cdot5\sqrt{14}  

a)

32732\sqrt{7}  

b)

60760\sqrt{7}  

c)

37237\sqrt{2}

d)

2102210\sqrt{2}  

153.

27+103\sqrt{27}+10\sqrt{3}  

a)

13313\sqrt{3}  

b)

103010\sqrt{30}  

c)

13613\sqrt{6}  

d)

19319\sqrt{3}  

154.
5√80
a)
20√5
b)
4√5
c)
5√20
d)
4√5
155.

Rationalize the denominator:
523\frac{\sqrt{5}}{2\sqrt{3}}  

a)

156\frac{\sqrt{15}}{6}  

b)

1518\frac{\sqrt{15}}{18}  

c)

536\frac{5\sqrt{3}}{6}  

d)

5318\frac{5\sqrt{3}}{18}  

156.

Rationalize the denominator:
1410\frac{1}{4\sqrt{10}}  

a)

14\frac{\sqrt{1}}{4}  

b)

1040\frac{\sqrt{10}}{40}  

c)

14\frac{1}{4}  

d)

10400\frac{\sqrt{10}}{400}  

157.

Fully Factor the Following
25x4-81

a)
(5x-9)2
b)

(5x2+9)(5x2-9)

c)
25(x-9)2
d)
(9x+5)(9x-5)
158.

Factor r2 - 9t2

a)

(r + 3t) (r - 3t)

b)

(r - 3t) (r - 3t)

c)

(3r + t) (3r - t)

d)

(r + 3t) (r + 3t)

159.

The first three terms of an arithmetic sequence are as follows


13, 19, 25


What are the next two terms of the sequence?

a)

31 and 37

b)

31 and 36

c)

30 and 37

d)

30 and 36

160.

Which sequence is NOT an arithmetic sequence?

a)

-7, -13, -19, -25,...

b)

-10, -6, -2, 2,..

c)

6, 8, 10, 12,...

d)

3, 15, 75, 375,...

161.

What is the common difference of the following sequence?


7, 27, 47, 67,...

a)

10

b)

20

c)

3

d)

-20

162.

Find the common ratio for the geometric sequence.

10, 40, 160, 640, ...

a)

2

b)

4

c)

10

d)

1/2

163.
What is one point that lies in the solution set of the system of inequalities graphed?
a)
(0, 4)
b)
(-4, 1)
c)
(2, 4)
d)
(4, -1)
164.

Which property was used to get to the second line?

a)

Associative property

b)

Commutative property

c)

Distributive property

d)

Zero property

165.

Find the slope of a line that passes through the given points:
(6,3) and (1,4)

a)

15\frac{1}{5}

b)

15\frac{-1}{5}

c)

5-5

d)

11

166.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

167.
Solve the equation:
2x - 1 = ¾x + 9
a)
x = -10
b)
x = 8
c)
x = -37
d)
x = 6
168.
solve for m
a)
-15
b)
15
c)
30
d)
-30
169.
Solve for y:
5x - y = 16
a)
-y = 5x + 16
b)
y = 5x + 16
c)
x = 5y - 16
d)
y = 5x - 16
170.

Solve the following equation for the variable w:

V = lwhV\ =\ lwh  

a)

w = Vlhw\ =\ V-lh  

b)

w = lhVw\ =\ \frac{lh}{V}  

c)

w = Vlhw\ =\ Vlh  

d)

w = Vlhw\ =\ \frac{V}{lh}  

171.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
172.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
173.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
174.

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

a)

$5

b)

$10

c)

$15

d)

$20

175.
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.  Which system of equations represents the situation?
a)
3x + 2y = 315
2x + 4y = 450
b)
3x + 2y = 450
2x + 4y = 315
c)
2x + 2y = 315
3x + 4y = 450