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WorksheetsFall Final Review
Total questions: 90
Worksheet time: 3hrs 39mins
Name
Class
Date
1.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4
2.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
3.
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
4.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
5.
Solve.
(2x - 3) / 4 = 9
(2x - 3) / 4 = 9
a)
x = 24
b)
x = 12
c)
x = 17.5
d)
x = 19.5
6.
-2 (x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
7.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
8.
Solve:
11x + 16 < 43 + 2x
11x + 16 < 43 + 2x
a)
x < 5
b)
x < 3
c)
x > 5
d)
x > 3
9.
Solve:
7(x + 3) < 5x + 13
7(x + 3) < 5x + 13
a)
x>-4
b)
x < 17
c)
x<-4
d)
x > -17
10.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
11.
Which of the following would NOT complete the following inequality?
4x - 12 < 20
4x - 12 < 20
a)
4
b)
-2
c)
7
d)
8
12.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
R: {0, 1, 2, -4}
b)
D:{-4, 0, 1, 2}
R:{-4, -3, 1}
R:{-4, -3, 1}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
13.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
14.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
15.
What is the range of the graph?
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
16.
What is the domain of the graph?
a)
1≤ x ≤ 4
b)
1 < x < 4
c)
1≤ y ≤ 4
d)
1 < y < 4
17.
What is the range?
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
18.
What is the domain?
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
19.
What is the domain of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
20.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
21.
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
22.
a)
y ≥ 0
b)
{ 1, 2, 3, 4 }
c)
{0, 1, 2, 3, 4 }
d)
0 ≤ y ≤ 3
23.
a)
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }
b)
{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }
c)
y ≤ 10
d)
0 ≤ y ≤ 10
24.
a)
{0,1, 2, 3, 4, 5, 6, 7, 8 }
b)
x ≤ 8
c)
0 ≤ x ≤ 8
d)
x ≥ 0
25.
a)
All integers
b)
All real numbers
c)
Non-negative integers
d)
Non-negative real numbers
26.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.
27.
Given f(x) = -4x - 10 and f(x) = 10. Find x
a)
x = -5
b)
x = 5
c)
x = -50
d)
x = 30
28.
If h(a) = 3 - 2a
Find h(-3).
Find h(-3).
a)
12
b)
-2
c)
-3
d)
9
29.
The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?
a)
After 5 week the plant is 4 inches tall
b)
The plant grows at a rate of 5/4 inch per week
c)
After 4 weeks the plant is 5 inches tall
d)
The plant grows at a rate of 1 inch per week
30.
Find the 22nd term of the following sequence:
5, 8, 11, ...
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
31.
Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
32.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
33.
Is the following sequence arithmetic?
15, 21, 27, 36, 42,...
15, 21, 27, 36, 42,...
a)
Yes
b)
No
34.
Given the recursive formula, find the first four terms:
an = an-1 + 5
a1 = -16
an = an-1 + 5
a1 = -16
a)
-16, -21, -26, -31
b)
5, -11, -27, -43
c)
-16, -80, -500, -200
d)
-16, -11, -6, -1
35.
Write the recursive formula for 4, 8, 12....
a)
an=an-1-7
b)
an=an-1-4
c)
an=an-1+3
d)
an=an-1+4
36.
Find the slope of the line that passes through:
(-3, -4) and (7, 6)
(-3, -4) and (7, 6)
a)
0
b)
Undefined
c)
-1
d)
1
37.
Write the equation
y = mx + b
m = -1
(-2, 4)
y = mx + b
m = -1
(-2, 4)
a)
x = -2
b)
y = 4x - 2
c)
b = 2
d)
y = -1x + 2
38.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
39.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
40.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
beans
c)
nothing
d)
slope
41.
Determine the slope and y-intercept from the following equation: 2y = 3x + 6
a)
m: 2/3 b: (0,3)
b)
m: 3/2 b: (0,3)
c)
m: 4 b: (0,3/2)
d)
m: 1/5 b: (0,5)
42.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
43.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
44.
y = 3x +2
y = 3x - 3
These lines are...
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
45.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
46.
What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?
a)
-2
b)
1/2
c)
-1/2
d)
2
47.
A line is perpendicular to y = 2x - 7.
What is the slope of this line?
What is the slope of this line?
a)
-2
b)
1/2
c)
-1/2
d)
2
48.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
49.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
50.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
51.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
52.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
53.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
54.
Which of the following equations match 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
55.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, -1)
d)
(5, 20)
56.
Which ordered pair is a solution to the system?
a)
(2, 5)
b)
(8, 12)
c)
(6, 4)
d)
(2, 6)
57.
This system has _____ solutions
a)
0
b)
1
c)
2
d)
Infinitely many
58.
a)
Infinitely Many Solutions
b)
No Solution
59.
This system has _____ solutions
a)
0
b)
1
c)
2
d)
Infinitely many
60.
Suppose you have a total of $2.25 in dimes and nickels. You have twice as many dimes, as nickels. Which system of equations could be used to determine how many of each you have?
a)
0.10d + 0.05n = 2.25
d = 2n
d = 2n
b)
0.05d + 0.10n = 2.25
d = 2n
d = 2n
c)
0.10d + 0.05n = 2.25
n = 2d
n = 2d
d)
0.05d + 0.10n = 2.25
n = 2d
n = 2d
61.
Edwin bought 3 cd's and 7 dvd's for $80. Jessica bought 6 cd's and 3 dvd's for $63.75. Which system of equations could be used to determine how much one cd and one dvd costs?
a)
3x + 7y = 80
6x + 3y = 63.75
6x + 3y = 63.75
b)
3x + 3y = 80
6x + 7y = 63.75
6x + 7y = 63.75
c)
3x + 7y = 63.75
6x + 3y = 80
6x + 3y = 80
d)
6x + 7y = 80
3x + 3y = 63.75
3x + 3y = 63.75
62.
What is the zero?
a)
(2,0)
b)
(0,2)
c)
(0,0)
d)
None of the above
63.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
64.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
65.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
66.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
67.
A correlation shows that two things are
a)
related
b)
causing each other
c)
unrelated
68.
This implies that one variable has a direct affect on the other variable.
a)
Correlation
b)
Causation
69.
Which example shows CAUSATION?
a)
High social media usage and reduced grades.
b)
Car ran out of gas and being stranded on the side of the road.
c)
Recess time and classroom behavior in elementary school
70.
Which example shows CORRELATION?
a)
I ate a hananero pepper and my mouth feels like it is on fire.
b)
Music lessons and brain development.
c)
I stepped on a spider and it died.
71.
Which example shows CAUSATION?
a)
Stress level and desire for chocolate.
b)
Eating more butter and increased divorce rates.
c)
It started raining and the baseball game was delayed.
72.
Which example shows CORRELATION?
a)
I put water in the freezer and now I have ice.
b)
The alarm clock went off and I woke up.
c)
Temperature and the amount of people at the beach.
73.
Which example shows a CORRELATION?
a)
It rained and the ground is wet.
b)
Ice cream sales increase as temperature increases.
74.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
75.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
No Correlation
76.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
77.
Describe the correlation in the graph shown.
a)
Weak Negative
b)
Weak Positive
c)
Strong Negative
d)
Strong Positive
78.
What does a correlation coefficient of
r = 0 mean?
r = 0 mean?
a)
perfect positive correlation
b)
no correlation
c)
perfect negative correlation
79.
The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.
a)
f(x) = 25.05x + 5.57
b)
f(x) = 5.57x + 25.05
c)
f(x) = -5.57x + 25.05
d)
f(x) = 5.57x - 25.05
80.
What is the line of best fit?
a)
f(x)= 5x+1.82
b)
cannot be determined
c)
f(x)= 1.82x + 5.02
d)
f(x)= 1.1x + 4.2
81.
The equation of the trend line is y= 1/2x +1
How many laps can a bicycle make around the park in 23 minutes?
How many laps can a bicycle make around the park in 23 minutes?
a)
44 laps
b)
12 1/2 laps
c)
23 laps
82.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
83.
What is the solution to this system of equations?
a)
( -2 , 0 )
b)
( 1 , 3 )
c)
( 4 , 0 )
d)
( 0 , 4)
84.
What is the solution to this system of equations?
a)
( -2 , 1 )
b)
( -4 , 0 )
c)
( 0 , 2 )
d)
( 0 , -3 )
85.
Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
86.
Does the system have one, none or infinite solutions?
y = 2x -11
-3y = -6x -15
y = 2x -11
-3y = -6x -15
a)
(-1.5,-4)
b)
(1.5,4)
c)
No solution (parallel lines)
d)
Infinitely many solutions
87.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
88.
Evaluate f(-2) if f(x) = x2+ 3
a)
-1
b)
1
c)
7
d)
-7
89.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
90.
h(x)=x2+25 solve for f(8)
a)
89
b)
80
c)
45
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