

Algebra 1 1st Semester Review
Presentation
•
Mathematics
•
9th Grade
•
Medium
+44
Standards-aligned
Chaz Ladner
Used 6+ times
FREE Resource
0 Slides • 154 Questions
1
Multiple Choice
2
Multiple Choice
(4x2+ x) - (x2+ 2x)
3
Multiple Choice
5(3x+2)
4
Multiple Choice
(x - 3)(x +10)
5
Multiple Choice
(x + 7)2
6
Multiple Choice
-3x2(7x2 - x + 4)
7
Multiple Choice
(5x + 2)(x2 - 3x + 6)
8
Multiple Choice
Solve:
2(a+4)=2a−8+4a
a = 3
a = -3
a = -4
a = 4
9
Multiple Choice
Solve:
3x−x+4=4(2x+1)
No Solution
All Real Numbers
x = 6
x = 0
10
Multiple Choice
Solve 3 - 3w + 5 > -5w - 7 + 3w
w > 15
w < 15
w > 20
w < -20
11
Multiple Choice
Solve the formula for p.
I = prt
p = I − rt
p = rtI
p = Irt
p = Irt
12
Multiple Choice
Solve the formula for x.
y = mx + b
x = y −b + m
x = my + b
x = my − b
x = y − m − b
13
Multiple Choice
Solve the following compound inequality:
−8 < 2(x + 4) or −3x + 4 > x − 4
No solutions
x < −8 or x < 2
x > −8 or x < 2
x < −8 and x < 2
14
Multiple Choice
y = -3x + 4
15
Multiple Choice
16
Multiple Choice
Write the equation for the line graphed above.
y = - x + 3
y = 4x + 3
y = 1/4 x + 3
y = - 4x + 3
17
Multiple Choice
Which graph represents 2x + 4y = 12?
18
Multiple Choice
Which graph best represents the following inequality?
19
Multiple Choice
Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.
Yes because it is located in the shaded region.
No because it is located on the line and the line is dotted.
Yes because it is located on the line.
No because it is in the shaded region.
20
Multiple Choice
Which of the following equations match the given graph?
y≤−45x+3
y≥−45x+3
y<−45x+3
y>−45x+3
21
Multiple Choice
When I see ≤ or ≥ , I use a ________ line.
Solid
Dashed
22
Multiple Choice
When I see < or > , I use a ____________ line.
Solid
Dashed
23
Multiple Choice
When I see > or ≥ , I shade...
Above
Below
24
Multiple Choice
When I see < or ≤ , I shade...
Above
Below
25
Multiple Choice
Identify the graph of the following linear inequality.
x − 2y > 6
26
Multiple Choice
Identify the graph of the following linear inequality.
−4x + 6y ≤ −12
27
Multiple Choice
28
Multiple Choice
29
Multiple Choice
y = 4x+1
3x + 2y = 13
30
Multiple Choice
-x + y = -13
-8x - 4y = -8
31
Multiple Choice
y = -x + 5
y = 2x - 7
32
Multiple Choice
2x + 4y = 450
2x + 4y = 315
3x + 4y = 450
33
Multiple Choice
y = 8.40 + x
y = 8.40x + 58
y = 8.40x
y = 8.40x - 58
34
Multiple Choice
7x - 3y = -9
35
Multiple Choice
36
Multiple Choice
37
Multiple Choice
38
Multiple Choice
Solve the system of inequalities by graphing.
39
Multiple Choice
Solve the system of inequalities by graphing.
40
Multiple Choice
Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?
2x + 3y > 100
x + y ≤ 40
100x + 2y > 3
x + y ≤ 40
100x + 40y > 100
3x + 2y ≤ 40
3x + 2y > 100
x + y ≤ 40
41
Multiple Choice
42
Multiple Choice
Which of the following system of inequalities represents the graph above?
3x-y<-4
2x+y<-3
3x-y>-4
2x+y>-3
3x-y≤-4
2x+y≤-3
3x-y≥-4
2x+y≥-3
43
Multiple Choice
What is a test that is used to check if the graph is function or not?
Multiple Choice
Vertical Line Test
Horizontal Line Test
None of the above
44
Multiple Choice
Is this graph a function or not a function?
Function
Non Function
45
Multiple Choice
Is this graph a function or not a function?
Function
Non Function
46
Multiple Choice
Is this set of ordered pairs a function or not a function?
Non Function
Function
47
Multiple Choice
.
Is this graph a function or not a function?
Non Function
Function
48
Multiple Choice
Is this set of ordered pairs a function or not a function?
{(9,2) (-3,2) (9,0) (2,2) (1,2)}
Function
Non-Function
49
Multiple Choice
50
Multiple Select
Select ALL of the functions.
{ (a,z) , (b,z) , (c,z) }
51
Multiple Choice
Evaluate f(-2) if f(x) = x + 3
52
Multiple Choice
Evaluate the function for f(9) if f(x)=53x+8 .
567
−513
−567
513
53
Multiple Choice
54
Multiple Choice
What point is represented by g(7) = 14 ?
(2,7)
(7,2)
(14,7)
(7,14)
55
Multiple Choice
Find f(2)
5
4
3
0
56
Fill in the Blank
h(x)=x2−2x+4
Find h(3)
57
Multiple Choice
Is this a function?
58
Multiple Choice
Which image is NOT the graph of a function?
59
Multiple Choice
Which graph represents a function?
60
Multiple Choice
Translate the coordinate pair into function notation.
(0,8)
f(0)=8
f(0)=−8
f(8)=0
f(−8)=0
f(x)=8
61
Multiple Choice
Given the graph,
find the value of x when f(x)=5
x=7
f(5)=3
x=5
x=3
f(5)=7
62
Multiple Choice
63
Multiple Choice
What is f(2)
8
11
14
17
64
Multiple Choice
Given the two functions
f(x)=4x−2
g(x)=−3x−4
Find f(x)+g(x) .
x−6
−8x+1
−x−6
x2+4x+5
65
Multiple Choice
Given the two functions
f(x)=−4x+4
g(x)=2x−5
Find f(x)−g(x) .
6x−9
−x2+2x+2
−6x−9
−6x+9
66
Multiple Choice
Which of the following best represents the zero of the graph shown for this function?
f(x)=−3x+9
3
9
-3
-9
67
Multiple Choice
68
Multiple Choice
What are the zeros?
0 and 2
-4 and 0
2 and 3
0 and 4
69
Multiple Choice
x>3
x>7
x<7
x<3
70
Multiple Choice
Which function has a maximum at (2, 0)?
71
Multiple Choice
What is the interval of increase?
0<x<3
3<x<7
25<x<40
50<x<25
72
Multiple Choice
Let's call the graph f(x). Find f(5) = ___
25
30
35
40
73
Multiple Choice
Look at the function that is graphed, what are the maximum and minimum values of this function?
maximum 15, minimum -5
maximum 25, minimum -15
maximum 25, minimum -10
maximum 30, minimum -10
74
Multiple Choice
75
Multiple Choice
76
Multiple Choice
What is the significance of the ordered pair (0, -2) to the graph?
It is the vertex
It is an x-intercept
It is the y-intercept
It is the axis of symmetry
77
Multiple Choice
78
Multiple Choice
79
Multiple Choice
80
Multiple Choice
81
Multiple Choice
How many solutions does the graph have?
One solution
No solution
Infinite solutions
82
Multiple Choice
Solve the following system:
−21x−4=2x+1
(2, -5)
(2, 5)
(4, -6)
(-2, -3)
83
Multiple Choice
84
Multiple Choice
How many solutions does this graph have?
one solution
two solutions
no solution
infinitely many solutions
85
Multiple Select
First determine how many solutions, then select all values that represent solutions to the graph below.
1
4
One solution
-3
two solutions
86
Multiple Choice
Solve: 5x + 34 = -2(-7x+1)
x = -4
x = 9
x = 4
x = 36/19
87
Multiple Choice
Evaluate f(-3)=
-1
-7
4
5
88
Multiple Choice
Find the value of f(−8) .
21
−8
0
9
89
Multiple Choice
Find f(0)
-3
18
4
0
90
Multiple Choice
91
Multiple Choice
Given the graph of f(x), evaluate f(2).
undefined
-1
5
2
92
Fill in the Blank
Given the graph of f(x), evaluate f(4).
93
Fill in the Blank
Given the graph of f(x), evaluate f(-1).
94
Multiple Choice
What is the domain of h(x) ?
All real numbers
(3, 4)
h(x)≥4
h(x)>4
95
Multiple Choice
Determine the domain and range of the function
Domain: All real numbers, Range: All real numbers
Domain: x ≥ -4, Range: All real numbers
Domain: All real numbers, Range: y ≥ -4
Domain: -1 ≤ x ≤ 5, Range: y ≥ -4
96
Multiple Choice
What is the range of the graph?
−2<f(x)<10
−3<x<3
−2≤f(x)≤10
−3≤x≤3
97
Multiple Choice
98
Multiple Choice
What is the initial position of the object?
4 m
6 m
8 m
10 m
99
Multiple Choice
100
Multiple Choice
101
Multiple Choice
Which of the following is an example of a quadratic function?
102
Multiple Choice
103
Multiple Choice
104
Multiple Choice
y = 6x - 4
105
Multiple Choice
106
Multiple Choice
What does the equation
g(x) = f(x)−4 do to the graph of f(x)?
Shifts the graph left four units
Shifts the graph right four units
Shifts the graph up four units
Shifts the graph down four units
107
Multiple Choice
Which transformation on
f(x) = x
is g(x) = -f(x)
Reflection across the y-axis
The slope will be less steep
The graph will be wider
Reflection across the x-axis.
108
Multiple Choice
The linear parent function, f(x) = x, is transformed to g(x) = f(x + 3). Describe the transformation.
g(x) is shifted up 3 units
g(x) is shifted down 3 units
g(x) is shifted left 3 units
g(x) is shifted right 3 units
109
Multiple Choice
The linear parent function, f(x) = x, is transformed to g(x) = f(x - 6). Describe the transformation.
g(x) is shifted up 6 units
g(x) is shifted down 6 units
g(x) is shifted left 6 units
g(x) is shifted right 6 units
110
Multiple Choice
vertical stretch factor 2 and translate up 3
vertical stretch factor 2 and translate left 3
vertical stretch factor 2 and translate down 3
translate right 2 and up three
111
Multiple Choice
reflect over x axis and vertical stretch by 2.
reflect over y axis and vertical stretch by 2.
reflect over x axis and horizontal stretch by 2.
reflect over y axis and horizontal stretch by 1/2.
112
Multiple Choice
translate six right and 7 up
translate six left and 7 up
translate six right and 7 down
translate six left and 7 down
113
Multiple Choice
Describe the transformation that is applied to the parent function. f(x)=∣x∣−5
114
Multiple Choice
115
Multiple Choice
Describe the transformation of the equation below from the absolute value parent function y=−2∣x−3∣+3
reflected over x axis, stretched by 2, right 3, up 3
reflected over x axis, stretched by 2, left 3 up 3.
reflected over x axis, shrunk by 2, right 3, up 3
reflected over the x axis, shrunk by 2, left 3, up 3
116
Multiple Choice
y=∣x+2∣−1
y=−∣x+2∣−1
y=−∣x−2∣−1
y=−∣x+1∣−2
117
Multiple Choice
What does the transformation f(x) → f(x+1)−9 do to the graph of f(x) ?
translates it left one unit and down 9 units
translates it right one unit and down 9 units
translates it up one unit and right 9 units
translates it down one unit and left 9 units
118
Multiple Choice
Which transformation will occur if f(x)=x is replaced with −f(x)−4 ?
Vertical translation up and reflection
Vertical translation down
Vertical stretch (more steep) and vertical translation down
Reflection and vertical translation down
119
Multiple Choice
The linear parent function, f(x) = x, is transformed to g(x) = f(x + 3). Describe the transformation.
g(x) is shifted up 3 units
g(x) is shifted down 3 units
g(x) is shifted left 3 units
g(x) is shifted right 3 units
120
Multiple Choice
f(x) = x2
then the red must be...
121
Multiple Choice
Given f(x) = ax² , if a > 1 , the graph will transform by
becoming wider or vertically compressed
becoming narrower or vertically stretched
122
Multiple Choice
In the vertex form f(x) = a(x - h)² + k , what does the 'h' value do?
Shifts the function left or right
Reflection over the x-axis
Vertical stretch or compression
Shifts the function up or down
123
Multiple Choice
In the vertex form f(x) = a(x - h)² + k , what does the 'k' value do?
Shifts the function left or right
Reflects over the x-axis
Vertical stretch or compression
Shifts the function up or down
124
Multiple Choice
Which equation matches the following transformation: up 4, stretched 3, reflected down, and left 1
f(x)=−3(x+1)2+4
f(x)=−4(x+3)2+1
f(x)=−(x+4)2+3
f(x)=3(x+1)2+4
125
Multiple Choice
What is the Vertex of the graph?
(-4, -4)
(0, 0)
(-8, 0)
(-2, -3)
126
Multiple Choice
h = -16t2 + 64t + 960.
When did the ball hit the ground?
127
Multiple Choice
What algebraic term are you solving for if the word problem is: The equation for leaping off a cliff is h = -16t2 + 8t +24. How long will it take for you to hit the maximum height?
y coordinate of the vertex
Axis of Symmetry
x coordinate of the vertex
y-intercept
128
Multiple Choice
In Projectile Motion Quadratic Word Problems, what does the x-value always represent?
Time
Height
Distance
Total
129
Multiple Choice
In Projectile Motion Quadratic Word Problems, what does the y-value always represent?
Time
Height
Distance
Total
130
Multiple Choice
Mrs. Martone's 7th grade science class built and launched rockets. The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. How long was the rocket in the air?
1 second
7 seconds
14 seconds
131
Multiple Choice
Mrs. Martone's 7th grade science class built and launched rockets. The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. How long did it take the rocket to reach its maximum height?
1 second
5 seconds
7 seconds
11 seconds
132
Multiple Choice
In a projectile motion problem, if the question is asking when an object will hit the ground, what part of the graph are you looking for? (Provided y is the height of the object and x is time)
The y-intercept
The x-intercepts
The x-coordinate of the vertex
The y-coordinate of the vertex
Something else
133
Multiple Choice
A ball is thrown into the air with an initial velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t2 + 100t + 5.
What is the maximum height?
125.251 feet
161.25 feet
239.126 feet
115.25 feet
134
Multiple Choice
Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = –16t2 + 16t + 480, where t is the time in seconds and h is the height in feet. How long does it take Jason to hit the water?
-16 seconds
-6 seconds
0 seconds
5 seconds
135
Multiple Choice
Ben and his girlfriend got in a fight and she threw his phone off of a balcony. The height of the phone can be modeled by the equation:
h(t) = -16t2 + 35t + 22
When did the phone reach its maximum height? (Round to 2 decimal places)
1.09 seconds
2.19 seconds
41.14 seconds
21.91 seconds
136
Multiple Choice
What was the maximum height of Ben's phone, given the correct answer to the last question was 1.09 seconds. (Round to 2 decimal places)
The equation was h(t) = -16t2 +35t + 22
41.14 feet
21.91 feet
79.16 feet
35.16 feet
137
Multiple Choice
If an object is thrown downward from a cliff, the initial velocity is...
positive
negative
zero
unknown
138
Multiple Choice
139
Multiple Choice
What is the degree of a quadratic function?
0
1
2
3
140
Multiple Choice
f(x) = x2- 8x + 15.
141
Multiple Choice
142
Multiple Choice
What is the range of the graph?
x≥−3
y≥−3
y≤−3
x≤−3
143
Multiple Choice
A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground. The graph below shows the height, y, of the ball from the ground after x seconds.
For which interval is the ball's height always decreasing?
0≤x≤2.5
0<x<5.5
2.5<x<5.5
x≥2
144
Multiple Choice
The height of a ball Doreen tossed into the air can be modeled by the function h(x) = −4.9x2 + 6x + 5, where x is the time elapsed in seconds, and h(x) is the height in meters. The number 5 in the function represents
the initial height of the ball
the time at which the ball reaches the ground
the time at which the ball was at its highest point
the maximum height the ball attained when thrown in the air
145
Multiple Choice
A ball is thrown into the air with an upward velocity. Its height, h, after t seconds is given by the function below.
h=−16t2+64t+960
What is the maximum height reached?
1024 feet
64 feet
960 feet
2 feet
146
Multiple Choice
A ball is thrown into the air with an upward velocity. Its height, h, after t seconds is given by the function below. h=−16t2+64t+960 How many seconds did it take for the ball to reach its maximum height?
10 seconds
64 seconds
960 seconds
2 seconds
147
Multiple Choice
h=−16t2+64t+960
A ball is thrown into the air with an upward velocity of 64 ft/s. Its height, h, after t seconds is given by the function above.
When did the ball hit the ground?
10 seconds
2 seconds
5 seconds
7 seconds
148
Multiple Choice
149
Multiple Choice
Fireworks are fired from the roof of a 100-foot building. The equation h = -16t2 +84t + 100 models the height, h, of the fireworks at any given time, t. How high do the fireworks get?
2.625
6.25
100
200
210.25
150
Multiple Choice
If each mark on the x-axis represents one second, when did the object reach the ground?
2.5 seconds
6 seconds
5.5 seconds
5 seconds
151
Multiple Choice
Jason launched a rocket for a physics experiment. This equation can be used to find the height (h), in feet, of the rocket after t seconds.
h = -16t2 + 288t + 8
How many seconds will it take for the rocket to reach a height of 1,304 feet?
9.0 seconds
9.6 seconds
81.0 seconds
82.0 seconds
152
Multiple Choice
You jump off a 24 foot high cliff and your fall is modeled by the function:
h(t) = -16t2 + 8t + 24
When would you reach 16 feet above the water?
8 seconds
1 second
1/2 second
1/4 second
153
Multiple Choice
A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t2 + 8t + 24
How high is the platform?
.25 ft
24 ft
25 ft
8 ft
154
Multiple Choice
The height of an object thrown into the air can be modeled by the formula y=−16x2+70x+95
What is the initial height of the object?
70 feet
95 feet
149 feet
-16 feet
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