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Math 1 Honors Midterm Practice

Total questions: 139

Worksheet time: 7hrs 36mins

Name
Class
Date
1.

3 + 23 - 8

a)

8

b)

1

c)

3

d)

-3

2.

6x - 2 - 7x + 4 - x

a)

-2x + 2

b)

-2x - 2

c)

2x - 6

d)

x + 2

3.

-3(x - 3) + 6(x + 1)

a)

3x + 6

b)

3x + 4

c)

-3x + 16

d)

3x + 15

4.

4a + 8 = -20

a)

-6

b)

-7

c)

3

d)

-3

5.

-5x - 10 < -30

a)

x < 4

b)

x > 4

c)

x < 8

d)

x < -4

6.

8(x - 1) = 4(x + 4) - 2x

a)

2

b)

6

c)

-2

d)

4

7.

What is 16% of 34?

a)

212.5

b)

5.4

c)

2.1

d)

4.5

8.

35 is 29% of what?

a)

10.2

b)

1015

c)

120.7

d)

1.2

9.

It takes you 30 minutes to ride 8 miles on your bike, about how long will it take you to ride 10 miles?

a)

34 minutes

b)

38 minutes

c)

32 minutes

d)

40 minutes

10.
a)

0 < x < 3

b)

0 < x < 3

c)

x > 0 or x > 3

d)

x < 0 or x > 3

11.

What is the slope of a line containing points (2, -1) and (3, 5)

a)

1/6

b)

6

c)

-1/6

d)

-6

12.

Give an equation of a line that is parallel to the line y = -3x

a)

y = 2/3x - 2

b)

y = 3x + 2

c)

y = -3x - 1

d)

y = -2/3x + 3

13.

What correlation is there between time spent driving and gas left in your tank?

a)

No Correlation

b)

Negative Correlation

c)

Positive Correlation

14.

What are the intercepts for 3x - 2y = 6

a)

(0, 3) and (2, 0)

b)

(0, -2) and (-3, 0)

c)

(0, -3) and (2, 0)

d)

(0, 2) and (3, 0)

15.

(4x9)(5x-5)

a)

20x-45

b)

9x4

c)

9x-4

d)

20x4

16.

3b3(4b2 + 5b - 3c)

a)

12b5 + 15b3 - 9b3c

b)

12b6 + 15b4 - 9b3c

c)

12b5 + 15b4 - 9b3c

d)

12b5 + 15b4 + 9b3c

17.

(3x2 - 5x + 7) - (2x2 + 9x - 1)

a)

x2 - 4x + 6

b)

5x2 - 4x + 8

c)

x2 - 14x + 8

d)

x2 + 4x + 6

18.

(5a - 4)(3a - 7)

a)

15a2 - 23a - 28

b)

15a2 - 47a + 28

c)

15a2 + 47a - 28

d)

15a2 - 23a + 28

19.

What is the slope of a vertical line?

a)

Zero

b)

Undefined

c)

1

d)

-1

20.

What is a function?

a)

When the domain (x) has exactly one range (y) assigned to it

b)

When the domain (x) repeats with a different range (y)

c)

When the domain (x) and range (y) are the same

d)

When there is no range (y) for each domain (x)

21.
How many columns are in a 5 x 4 matrix?
a)
5
b)
4
c)
20
d)
9
22.
What are the dimensions of this matrix?
a)
2 x 3
b)
3 x 2
c)
6 x 1
d)
1 x 6
23.
How many rows are in a 7 x 3 matrix?
a)
7
b)
3
c)
21
d)
10
24.

Can the operation be performed?

a)

Yes

b)

No

25.
These matrices are being multiplied. Determine the dimension/size of the new matrix. 
a)
Can't multiply them
b)
4  x  2
c)
3  x  3
d)
4  x  3
26.

Find the product of the two matrices.

a)

1 2

6 -8

b)

-3 -5

-5 -11

c)

-2 8

-6 -12

d)

2 -3

5 -2

27.
Find the product of the two matrices.
a)
undefined
b)
-3   16
17   12
8   -10
c)
3   12 
-15  -8
-1   -3
28.
Find the product of the matrices.
a)
A
b)
B
c)
C
d)
D
29.

Which transformation moves a geometric pre-image right, left, up or down?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

30.

Which transformation enlarges or reduces a pre-image?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

31.

Which transformation flips an image across either the x or y axis?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

32.

Which transformation pivots a pre-image around the origin either clockwise or counter clockwise?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

33.

Which transformation preserves the size of a pre-image? (Chose the best answer)

a)

Rotation

b)

Translation

c)

Reflection and dilation

d)

Reflection, rotation, and translation

34.

Which transformation preserves the orientation of a pre-image? (Chose the best answer)

a)

Translation and dilation

b)

Translation only

c)

Dilation only

d)

Rotation and reflection

35.

If the blue is the pre-image and the red is the image, is this an enlargement or a reduction?

a)

enlargement

b)

reduction

36.

What is the scale factor of the dilation shown?

a)

1/3

b)

1/2

c)

3

d)

2

37.

Describe the rotation shown.

a)

Rotation 180o

b)

Rotation 90o clockwise

c)

Rotation 90o counter clockwise

d)

Rotation 270o clockwise

38.

If blue is the pre-image, describe the transformation

a)

Rotation 180o

b)

Dilation by a factor of 1/2

c)

Translation 6 right and 6 down

d)

Translation six left and six up

39.

Describe the transformation shown.

a)

Rotation 90o clockwise

b)

Dilation by a factor of 3

c)

Translation 2 units down

d)

Reflection across the x axis.

40.

Describe the transformation shown if the image on the left is the pre-image.

a)

Reflection across the y axis

b)

Translation 4 units right

c)

Rotation 90o clockwise

d)

Dilation by a factor of 2

41.

Describe the transformation shown

a)

Reflection across the x axis.

b)

Translation down 6 and left 1

c)

Dilation by a factor of 2/3

d)

Rotation of 180o

42.

If blue is the pre-image and green is the image, the scale of reduction is?

a)

1/2

b)

1/3

c)

3

d)

2

43.

Describe the transformation shown

a)

Rotation of 270o counter clockwise

b)

Translation right one unit and up one unit

c)

Dilation by a scale of 2

d)

Dilation by a scale of 1/2

44.
Which equation best represents the line on the graph?
a)
y= 1/2x
b)
y= -1/2x
c)
y = 2x
d)
y = -2x
45.
Writing Equations:
Given the following table, write the linear equation.
a)
y = 9x + 3
b)
y = 3x + 12
c)
y = 3x + 9
d)
y = 1x + 12
46.
Write a rule :  Miles has joined a weight loss program.  His weight is 225 lbs and he is losing weight at a rate of 3 lbs per week.
a)
y = 222 x
b)
y = 225 + 3 x
c)
y = 225 - 3x
d)
y=225x - 3
47.
Which of the following is an increasing exponential function whose y-intercept is 50?
a)
y = 50(.05)x
b)
y = 50x - 4
c)
y = (2)x + 50
d)
y = 50(1.4)x
48.

What is the common ratio(multiplier) for the sequence:

3, 15, 75...

a)

12

b)

1/5

c)

5

49.
The function y = 125(1.13)x represents Mr. Gantz's recent investments where x is measured in years.  Which is NOT true?
a)
Mr. Gantz initial invested $125
b)
Mr. Gantz's money grows by 13% per year
c)
After 4 years Mr. Gantz will have about $203.81
d)
Mr. Gantz earns more money in year one than in year 5
50.

Which table represents the following equation?

a)
b)
c)
d)
51.
Write the equation.
a)
f(x) = -5x + 1
b)
f(x) = x + 5
c)
f(x) = -2x
d)
f(x) = -5x + 6
52.
Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?
a)
y = 7x + 20
b)
y = 7 + 20x
c)
y = 20 + 7
53.

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

a)

70(2)35

b)

2(70)5

c)

5(70)2

d)

70(2)5

54.
Which equation best represents the line on the graph?
a)
y= 1/2x
b)
y= -1/2x
c)
y = 2x
d)
y = -2x
55.
Writing Equations:
Given the following table, write the linear equation.
a)
y = 9x + 3
b)
y = 3x + 12
c)
y = 3x + 9
d)
y = 1x + 12
56.
Write a rule :  Miles has joined a weight loss program.  His weight is 225 lbs and he is losing weight at a rate of 3 lbs per week.
a)
y = 222 x
b)
y = 225 + 3 x
c)
y = 225 - 3x
d)
y=225x - 3
57.
Which of the following is an increasing exponential function whose y-intercept is 50?
a)
y = 50(.05)x
b)
y = 50x - 4
c)
y = (2)x + 50
d)
y = 50(1.4)x
58.

What is the common ratio(multiplier) for the sequence:

3, 15, 75...

a)

12

b)

1/5

c)

5

59.
The function y = 125(1.13)x represents Mr. Gantz's recent investments where x is measured in years.  Which is NOT true?
a)
Mr. Gantz initial invested $125
b)
Mr. Gantz's money grows by 13% per year
c)
After 4 years Mr. Gantz will have about $203.81
d)
Mr. Gantz earns more money in year one than in year 5
60.

Which table represents the following equation?

a)
b)
c)
d)
61.
Write the equation.
a)
f(x) = -5x + 1
b)
f(x) = x + 5
c)
f(x) = -2x
d)
f(x) = -5x + 6
62.
Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?
a)
y = 7x + 20
b)
y = 7 + 20x
c)
y = 20 + 7
63.

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

a)

70(2)35

b)

2(70)5

c)

5(70)2

d)

70(2)5

64.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
65.
Is the pictured graph growth, decay, or linear or none?  
a)
Growth
b)
Decay
c)
Linear
d)
None
66.
Is the pictured graph growth, decay, or linear or none?  
a)
Growth
b)
Decay
c)
Linear
d)
None
67.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
68.
Identify the y-intercept (initial value) in the function f(x)=13(.27)x
a)
(.27)x
b)
.27
c)
13
d)
3.51
69.
Identify the y-intercept (initial value) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
70.
In an exponential function, what does the 'a' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
71.
Identify the common ratio (multiplier) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
72.

Is the following function and example of decay or growth?

f(x)=2(0.85)x

a)

Exponential Decay

b)

Exponential Growth

73.
Which of the following is an increasing exponential function whose y-intercept is 50?
a)
y = 50(.05)x
b)
y = 50x - 4
c)
y = (2)x + 50
d)
y = 50(1.4)x
74.

Is the following function an example of decay or growth?

f(x) = 2(1.25)x

a)

Exponential Growth

b)

Exponential Decay

75.
What is the x-intercept of the exponential function? 
a)
(0,1)
b)
(0,0)
c)
There is not one
76.

What is the growth factor of the situation represented by f(x)=10(0.3)x?

a)

10

b)

0.3

c)

1

d)

3

77.
Classify the function, f(x) = 6.5(0.85)x.
a)
exponential growth
b)
exponential decay
c)
positive linear
d)
negative linear
78.
The expression 12(1.015)t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?
a)
Increasing
b)
Decreasing
79.
If a table's pattern is that the f(x) values are being divided by 3, what is the common ratio?
a)
3
b)
-3
c)
1/3
d)
-1/3
80.

Which variable represents time passed in the function y=abx?

a)

y

b)

a

c)

b

d)

x

81.

What is the common ratio(multiplier) for the sequence:

3, 15, 75...

a)

12

b)

1/5

c)

5

82.

What is the common ratio(multiplier) for the sequence:

28, 14, 7, 3.5...

a)

2

b)

1/2

c)

-14

d)

-7

83.
How do you write 5% as a decimal?
a)
50
b)
5
c)
0.5
d)
0.05
84.
Identify the domain of the following relation:
a)
-6, 14, 2, 28
b)
(-6,14), (0,32), (2,38), (4,44)
c)
-6, 0, 2, 4
d)
14, 32, 38, 44
85.
What is the range of the following graph?
a)
all real numbers
b)
all integers
c)
any real number greater than zero
d)
it can not be determined
86.

What is the Range?

a)

y ≥ 6

b)

y≤6y\le6  

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

87.
What is the range of this function?
a)
-4 ≤ y ≤ 5
b)
-1 ≤ x ≤ 3
c)
All Real Numbers
d)
y ≥ -4
88.

Find the DOMAIN

a)

{-5, -2, 1, 4}

b)

{1, -2, 4, -5}

c)

{-1, 0, 2, 3}

d)

{0, -1, 2, 3}

89.

Find the RANGE

a)

{-5, -2, 1, 4}

b)

{1, -2, 4, -5}

c)

{-1, 0, 2, 3}

d)

{0, -1, 2, 3}

90.
What is the Range?
a)
y ≥ 6
b)
y ≤ 6
c)
-10 ≤ y ≤ 6
d)
-10 ≤ x ≤ 6
91.
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}
92.
Find the Range.
a)
All Real numbers
b)
0 < y < 11
c)
y ≥ 0
d)
y > 0
93.
All of the y values or outputs are called what?
a)
Domain
b)
Range
94.
All of the x values or inputs are called what?
a)
Domain
b)
Range
95.

Which of the following is an example of exponential decay?

a)

y = 3(5)x

b)

y = .5(5)x

c)

y = 2(.5)x

d)

y = 8(1)x

96.

Which of the following is an example of exponential growth?

a)

y = 5(.5)x

b)

y = .2(.8)x

c)

y = .2(6)x

d)

y = 50(.9)x

97.

Which of the following models represents exponential decay?

a)

y = 5(1 + .05)t

b)

y = 5(1 - .05)t

c)

y = .8(1 + .05)t

d)

y = -2(1 + .05)t

98.

Which of the following models represents exponential growth?

a)

y = 4(1 + .08)t

b)

y = 4(1 - .08)t

c)

y = .5(1 - .08)t

d)

y = 11(1 - .08)t

99.

Which graph represents exponential growth?

a)
b)
c)
d)
100.

Which graph represents exponential decay?

a)
b)
c)
d)
101.

Which of the following is an example of exponential decay?

a)

y = 8(.5)x

b)

y = .8(5)x

c)

y = 8(5)x

d)

y = 8(2)x

102.

Which of the following is an example of exponential growth?

a)

y = 8(.5)x

b)

y = .8(.95)x

c)

y = 8(5)x

d)

y = .5(.5)x

103.

Which of the following is an example of exponential growth?

a)

y = 8(1.05)t

b)

y = 8(.95)t

c)

y = (.99)t

d)

y = 9(1 - .5)t

104.

Which of the following is an example of exponential decay?

a)

y = 8(1.05)t

b)

y = .8(1.05)t

c)

y = 1.8(1.05)t

d)

y = 8(.95)t

105.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

106.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

107.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

108.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

109.

This is an example of: f(x)= 25 ( 0.20)xf\left(x\right)=\ 25\ \left(\ 0.20\right)^x  

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

110.

How do you know that this was exponential decay? f(x)= 25 ( 0.20)xf\left(x\right)=\ 25\ \left(\ 0.20\right)^x  

a)

Because the 25 was bigger than one

b)

Because the 0.20 was bigger than one

c)

Because the 25 was less than one

d)

Because the 0.20 was less than one

111.

This is an example of: f(x)= 0.25 ( 1.3)xf\left(x\right)=\ 0.25\ \left(\ 1.3\right)^x  

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

112.

How do you know that this was exponential growth? f(x)=0 .25 ( 1.3)xf\left(x\right)=0\ .25\ \left(\ 1.3\right)^x  

a)

Because the 0.25 was bigger than one

b)

Because the 1.3 was bigger than one

c)

Because the 0.25 was less than one

d)

Because the 1.3 was less than one

113.

This is an example of: f(x)=90 ( 12)xf\left(x\right)=90\ \left(\ \frac{1}{2}\right)^x  

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

114.

How do you know that this was exponential decay? f(x)=90 ( 12)xf\left(x\right)=90\ \left(\ \frac{1}{2}\right)^x  

a)

Because the 90 was bigger than one

b)

Because the 1/2 was bigger than one

c)

Because the 90 was less than one

d)

Because the 1/2 was less than one

115.

This is an example of: f(x)=3 ( 52)xf\left(x\right)=3\ \left(\ \frac{5}{2}\right)^x  

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

116.

How do you know that this was exponential growth? f(x)=3 ( 52)xf\left(x\right)=3\ \left(\ \frac{5}{2}\right)^x  

a)

Because the 3 was bigger than one

b)

Because the 5/2 was bigger than one

c)

Because the 3 was less than one

d)

Because the 5/2 was less than one

117.

This function represents the number of ants in a colony f(x)=3 ( 2)xf\left(x\right)=3\ \left(\ 2\right)^x How many ants did you begin with? 

a)

There was 2 ants

b)

There was 3 ants

c)

The equation doesn't tell us

118.

This function represents the number of ants in a colony f(x)=3 ( 2)xf\left(x\right)=3\ \left(\ 2\right)^x What is the growth rate?

a)

The ants are growing by 3 times

b)

The ants are growing by 2 times

c)

The equation doesn't tell us

119.

How do we know that is an example of an exponential growth?

a)

Its a line going up

b)

Its a line going down

c)

Its a smooth curve going down

d)

Its a smooth curve going up

120.

How do we know that is an example of an exponential decay?

a)

Its a line going up

b)

Its a line going down

c)

Its a smooth curve going down

d)

Its a smooth curve going up

121.

How do we know that is an example of an linear decay?

a)

Its a line going up

b)

Its a line going down

c)

Its a smooth curve going down

d)

Its a smooth curve going up

122.

How do we know that is an example of an linear growth?

a)

Its a line going up

b)

Its a line going down

c)

Its a smooth curve going down

d)

Its a smooth curve going up

123.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
124.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
125.

What type of transformation is this?

a)

Rotation

b)

Reflection

c)

Translation

d)

Enlargement

126.

Rotation Rules (clockwise):

90o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90⁰ rotation clockwise?

a)

(1, 3)

b)

(3, 1)

c)

(3, -1)

d)

(1, -3)

127.
Which of the following describes the sequence of transformations shown?
a)
Reflect across the x-axis and then rotate -90 degrees around the origin
b)
Rotate -90 degrees around the origin and then translate down.
c)
Reflect across the x-axis and then reflect across the y-axis.
d)
Translate up and then rotate 90 degrees about the origin.
128.

Pentagor VWXYZ is shown on a coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V'W'X'Y'Z'. Which rule describes this transformation?

a)

(x,y) → (x, -y)

b)

(x,y) → (x, y+8)

c)

(x, y) → (-y, x)

d)

(x,y) → (-x, y)

129.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
130.
The image A'B'C' is a rotation of ABC.
a)
True
b)
False
131.
What type of transformation is this?
a)
Rotation
b)
Translation
c)
Dilation
d)
Reflection
132.
What type of transformation is this?
a)
Dilation
b)
Reflection
c)
Rotation
d)
Translation
133.
Which rule would result in a translation of 2 units left and 3 units up?
a)
(x, y) → (2x, 3y)
b)
(x, y) → (x - 2, y + 3)
c)
(x, y) → (-x, -y)
d)
(x, y) → (x + 2, y - 3)
134.
Identify the transformation from B to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o clockwise Rotation
d)
360o Rotation
135.
Identify the transformation from C to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
136.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
137.
Find E'.
a)
(-1, -5)
b)
(-2, -2)
c)
(0, -4)
d)
(-4, 0)
138.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
139.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)

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