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Term 4 Final Exam Review

Total questions: 42

Worksheet time: 4hrs 30mins

Name
Class
Date
1.

What is the range of the function?

a)

≤ 3

b)

 yy\ge  2

c)

All real numbers

d)

-6 ≤ y ≤ 3

2.

What is the range?

a)

y ≤ -3

b)

y1y\ge-1

c)

All real numbers

d)

y ≤ -1

3.
What is the function of the table?
a)
y=x+3
b)
y=x*3
c)
y=x÷3
d)
y=x-3
4.
Write the equation.
a)
f(x) = -5x + 1
b)
f(x) = x + 5
c)
f(x) = -2x
d)
f(x) = -5x + 6
5.
What is the equation for this table?
a)
y = -2x + 5
b)
y = 2x + 5
c)
y = 5x - 2
d)
y = 5x + 5
6.

What steps transform the graph y = x2 to y = -1/2(x-4)2 + 1?

a)

Compressed by 1/2, shifted 4 units right and 1 unit up

b)

Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

c)

Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

d)

Stretched by 1/2, shifted 4 units right and 1 unit down

7.

What steps transform the graph y = x2 to y = 2(x+2)2 - 5?

a)

Compress by 2, shifted 2 units left and 5 down

b)

Stretch by 5, shifted 5 units left and 2 down

c)

Stretch by 2, shifted 2 units left and 5 down

d)

Compress by 5, shifted 2 units left and 2 down

8.

What steps transform the graph y = x2 to y = (x-4)2

a)

Shifted down 4 units

b)

Shifted left 4 units

c)

Shifted right 4 units

d)

Shifted up 4 units

9.
What is the vertex of this parabola?
a)
(1, 2)
b)
(-1, -2)
c)
(1, -2)
d)
(-1, 2)
10.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
11.

Solve x2− 4 = 12

a)

2 and -2

b)

4 and -4

c)

16 and -16

d)

8 and -8

12.

Solve:

x2 - 49 = 0

a)

x = -7, x = 7

b)

x = -7

c)

x = 7

d)

x = -7, x = 1

13.
Solve using the quadratic formula:
4x+ 4x + 1 = 0
a)
x = -½
b)
x = -2
c)
x = 0
14.
Solve
x2 + 2x - 24 = 0
a)
x = -6, x = 4
b)
x = 6, x = -4
c)
x = 12, x = -2
d)
x = 8, x = -3
15.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
16.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
17.
Factor:
 2n2-8n3
a)
2n2(n-4n2)
b)
2n2(1-4n2)
c)
2n3(10-8n2)
d)
3n(1-4n)
18.
Factor:
24c5 - 12c3
a)
6(4c5 - 2c3)
b)
12c3(2c2)
c)
12c3(2c2 - 1)
d)
12c3(2c2 - 0)
19.

Solve using the Quadratic Formula


4v2 - 1v - 18 = 0

a)

v = 2.25, -2

b)

v = -2.25, 2

c)

v = 2.24, -1.99

d)

v = -2.24, 1.99

20.
a)
A
b)
B
c)
C
d)
D
21.
(x + 1) 2 = 25
a)
± 5
b)
4  or  -6
c)
-4  or  6
d)
± 4
22.
Solve by factoring: x2 - 9x + 20 = 0
a)
x = -4 and x = -5
b)
x = 20 and x = -9
c)
x = 4 and x = 5
d)
x = -4 and x = 5
23.

Which scatter plot shows a linear relationship between x and y?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

24.

Number of steps taken per day and number of kilometers walked per day.  r=.92r=.92  

a)

strong positive

b)

strong negative

c)

weak positive

d)

weak negative

25.

Average time spent listening to music per day and average time spent watching TV per day.  r=.17r=-.17  

a)

strong positive

b)

strong negative

c)

weak positive

d)

weak negative

26.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 0.5

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

27.

Find the median, first quartile, third quartile, and interquartile range of the data.

203, 183, 212, 181, 157, 204, 189, 190

a)

Median: 189

First Quartile: 182

Third Quartile: 203

IQR: 21

b)

Median: 189.5

First Quartile: 182

Third Quartile: 203

IQR: 21

c)

Median: 189

First Quartile: 182

Third Quartile: 203.5

IQR: 21.5

d)

Median: 189.5

First Quartile: 182

Third Quartile: 203.5

IQR: 21.5

28.

What is the IQR of the following Data Set:

32, 35, 35, 36, 39, 40, 44, 48, 49

a)

Q1: 35

Q2: 39

Q3: 46

IQR: 46 - 35 = 11

b)

Q1: 35

Q2: 39

Q3: 44

IQR: 44 - 35 = 9

c)

Q1: 35

Q2: 39

Q3: 48

IQR: 48 - 35 = 13

d)

Q1: 35

Q2: 39

Q3: 46

IQR: 39 - 35 = 4

29.
Which city has a higher median?
a)
Millersburg
b)
Arcadia
30.
Solve:
C = 2πr, for r
a)
C/(2π) = r
b)
C + 2π = r
c)
C - 2π = r
d)
2πC = r
31.
Solve -2 = 4r + s for s.
a)
s = -2 + 4r
b)
s = 2 - 4r
c)
s = -2 - 4r
d)
s = 2 + 4r
32.

Find f(x) = g(x)

f(x) = 2/3x - 2

g(x) = -x + 3

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

33.
What is the solution to this system?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
34.
For the function f(x) = -3(x-1) find f(0).
a)
0
b)
-3
c)
3
d)
-1
35.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
36.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
37.

Write an expression for the perimeter in simplest radical form

4 lines
38.
a)

The slope of Function A is greater than the slope of Function B.

b)

The slope of Functions A is less than the slope of Function B.

39.
a)

The y-intercept of Function A is greater than the y-intercept of Function B.

b)

The y-intercept of Function A is less than the y-intercept of Function B.

40.

What is the average rate of change 4<x<6

a)

-4

b)

4

c)

1/4

d)

-4/2

41.

Find the average rate of change 4<x<5

a)

-10

b)

2

c)

1/10

d)

1/2

42.

Which scatter plot shows a quadratic relationship between x and y?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D