WorksheetsALGEBRA 2 Fall Midterm 25-26 REVIEW
Total questions: 50
Worksheet time: 25mins
Name
Class
Date
1.
Which of the following equations represents a linear function?
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
2.
Which graph shape best describes a quadratic function, and how can you distinguish it from a linear or exponential function by analyzing changes in y-values?
a)
Straight line, constant rate of change in y-values
b)
Parabola, constant second differences in y-values
c)
Exponential curve, constant ratio in y-values
d)
Parabola, constant first differences in y-values
3.
Which equation below represents an exponential function?
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
4.
A function is given by the table:
a)
Linear
b)
Quadratic
c)
Exponential
d)
None of the Above
5.
a)
The first is quadratic; the second is exponential
b)
The first is exponential; the second is quadratic
c)
Both are exponential
d)
Both are quadratic
6.
a)
Linear
b)
Quadratic
c)
Exponential
d)
None of the Above
7.
Without graphing, determine which of the following could represent a quadratic function:
a)
The function has a constant rate of change.
b)
The differences of y-values are constant.
c)
The second differences of y-values are constant.
d)
The growth rate is constant by percentage.
8.
a)
Both exponential
b)
Exponential then linear
c)
Linear then exponential
d)
Quadratic then exponential
9.
a)
f(x), because it decreases at a constant rate
b)
g(x), because it has a peak and then decreases
c)
h(x), because it decreases by a constant percentage over time
d)
None, because cooling cannot be modeled by these functions.
10.
a)
Both increases forever
b)
One increases forever, the other has a maximum and then decreases
c)
Both have a maximum and then decrease
d)
Both are exponential
11.
What is the slope of a line passing through the points (2, 3) and (5, 9)?
a)
2
b)
3
c)
4
d)
6
12.
The slope of the line y = -4x + 7 is:
a)
-4
b)
4
c)
7
d)
-7
13.
What is the slope?
a)
2
b)
3
c)
4
d)
8
14.
Which slope represents a horizontal line?
a)
0
b)
Undefined
c)
1
d)
-1
15.
Which slope represents a vertical line?
a)
0
b)
1
c)
Undefined
d)
-1
16.
Find the slope between points (-3, 4) and (2, -6).
a)
2
b)
-2
c)
5
d)
-5
17.
The average rate of change of f(x) = 3x + 1 from x = 2 to x = 5 is:
a)
1
b)
2
c)
3
d)
4
18.
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
19.
a)
First segment
b)
Second segment
c)
Both equal
d)
Not enough data
20.
Two lines have slopes of 2 and -1/2. Which statement is correct?
a)
The lines are parallel.
b)
The lines are perpendicular
c)
The lines are the same
d)
The lines never intersect
21.
Find the average rate of change of f(x)=x2 + 2x from x=1 to x=4.
a)
7
b)
8
c)
9
d)
10
22.
A line passes through (0, 5) and has a slope of -3. Which equation represents this line?
a)
y=−3x+5
b)
y=−3x−5
c)
y=3x+5
d)
y=3x−5
23.
If the slope of a line is negative, which statement is true about the line?
a)
It goes up from left to right
b)
It goes down from left to right
c)
It is horizontal
d)
It is vertical
24.
The average rate of change of a company’s revenue went from $50,000 at year 2 to $80,000 at year 5. What is the rate of change?
a)
$6,000/year
b)
$8,000/year
c)
$9,000/year
d)
$10,000/year
25.
A cyclist’s position is given by s(t)=5t2+2t meters after t seconds. Find the average rate of change from t=2 to t=6.
a)
28 m/s
b)
30 m/s
c)
42 m/s
d)
34 m/s
26.
Which of the following is the standard form of a quadratic function?
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
27.
Answer the following question.
a)
(4, 3)
b)
(-4, 3)
c)
(4, -3)
d)
(-4, -3)
28.
Answer the following question.
a)
-2
b)
2
c)
8
d)
5
29.
Answer the following question.
a)
-3 and 2
b)
3 and -2
c)
-3 and -2
d)
3 and 2
30.
Answer the following question.
a)
Upward
b)
Downward
c)
Sideways
d)
None of the above
31.
Answer the following question.
a)
x = -3
b)
x = 3
c)
x = 5
d)
x = -5
32.
Answer the following question.
a)
The maximum occurs when x=10, because that is the axis of symmetry of the parabola.
b)
The maximum occurs when x=20, because the parabola opens upward and the vertex is at x=20.
c)
The maximum occurs when x=10, because the vertex of a downward-opening parabola represents its maximum point.
d)
The maximum occurs when x=0, because the profit is highest when no products are sold.
33.
Answer the following question.
a)
4 only
b)
-4 only
c)
±4
d)
No solution
34.
Answer the following question.
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
35.
Answer the following question.
a)
(2, 3)
b)
(-2, 3)
c)
(2, -3)
d)
(-2, -3)
36.
Answer the following question.
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
37.
Answer the following question.
a)
0 and -4
b)
0 and 4
c)
-2 and 4
d)
-2 and 0
38.
A sports arena wants to install a giant arch for its entrance. The arch will be modeled by a parabola whose base is 40 meters wide and whose maximum height is 15 meters. The vertex of the parabola is at the center of the base.
Which equation correctly models the arch’s height h(x) in meters, where x is the horizontal distance from the center of the base in meters?
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
39.
Answer the following question.
a)
x = 3
b)
x = -3
c)
x = 2
d)
x = -2
40.
Answer the following question.
a)
Opens upward, vertex is maximum
b)
Opens downward, vertex is maximum
c)
Opens upward, vertex is minimum
d)
Opens downward, vertex is minimum
41.
Answer the following question.
a)
2 seconds
b)
4 seconds
c)
5 seconds
d)
10 seconds
42.
Answer the following question.
a)
$100,000
b)
$200,000
c)
$300,000
d)
$400,000
43.
Answer the following question.
a)
5 units
b)
10 units
c)
15 units
d)
20 units
44.
Answer the following question.
a)
900 square meters
b)
1200 square meters
c)
1800 square meters
d)
2400 square meters
45.
A parabola passes through the points (0, 4), (1, 7), and (2, 6). What is its equation in standard form?
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
46.
Answer the following question.
a)
$50/year
b)
$55/year
c)
$110/year
d)
$120/year
47.
Answer the following question.
a)
It is constant
b)
It increases over time
c)
It decreases after the peak
d)
It is always positive
48.
A train’s position is recorded at 2:00 PM (20 miles), 3:00 PM (50 miles), and 4:00 PM (80 miles). What can you conclude?
a)
The train’s average rate of change is constant at 30 mph
b)
The train accelerated
c)
The train decelerated
d)
The rate of change cannot be determined
49.
Answer the following question.
a)
The student is correct
b)
The student is wrong; slope should be 4
c)
The student is wrong; slope should be -8
d)
The student is wrong; slope should be 8
50.
You are comparing two investments:
Investment A: $5,000 grows linearly by $500/year
Investment B: $5,000 grows by 8% per year
After 15 years, which will have the higher total, and why?
a)
Investment A, because linear growth is steady
b)
Investment B, because exponential growth surpasses linear growth over time
c)
Both will be equal
d)
Investment A, because it starts faster
100 %
