AnswersFL-1200700-Mathematics for College Algebra MISSolving Quadratic Equations: Quadratic Formula

Solving Quadratic Equations: Quadratic Formula — Unit test Answers

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1
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A graph shows the horizontal axis numbered 1 to 5 and the vertical axis numbered 1 to 5. Points and a line show a downward trend.

Question illustration
–
–0.83
–
–0.21
0
0.21
0
0.83
2
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Consider the plot created from the residuals of a line of best fit for a set of data.

Question illustration
A
Yes, the points have no pattern.
B
No, the points are evenly distributed about the x-axis.
C
No, the points are in a linear pattern.
D
Yes, the points are in a curved pattern.
3

two

T
The equation for the line of best fit is not a good approximation for the data because the points have a curved pattern.
T
The equation for the line of best fit is a good approximation for the data because the points are random, having no pattern.
T
The residual plot has a linear pattern.
T
The points of the residual plot are spread evenly above and below the x-axis.
T
The residual plot has the pattern of a curve.
4

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet.

3
3.2 feet
4
4.8 feet
5
5.6 feet
6
6.8 feet
5

The table shows the average number of hours of daylight per day for the last four months of the year.

Question illustration
A
–0.993
B
–0.791
C
0.791
D
0.993
6

A line of best fit is drawn for the set of points shown on the graph.

Question illustration
(
(23, 30)
(
(30, 38)
(
(44, 30)
(
(30, 72)
7

Jace gathered the data in the table. He found the approximate line of best fit to be y = –0.7x + 2.36.

Question illustration
A
–3.14
B
–0.86
C
0.86
D
3.14
8

The data in the table represents the predicted price of a gallon of milk, y, for number of years, x.

Question illustration
y
y = ax + b
y
y = ax2 + b
y
y = abx
y
y = a + bx
9

The graph shows the relationship between the price of frozen yogurt and the number of ounces of frozen yogurt sold at different stores and restaurants.

Question illustration
A
1.5
B
2
C
13
D
15.5
10

The table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = –16x2 + 100 models the data in the table.

Question illustration
–
–2.75
0
0.25
1
1.75
2
2.25
11

Find the residual values, and use the graphing calculator tool to make a residual plot.

Question illustration
A
Yes, the points have no pattern.
B
No, the points are evenly distributed about the x-axis.
C
No, the points are in a linear pattern.
D
Yes, the points are in a curved pattern.
12

three

T
The data point for x = 1 is above the line of best fit.
T
The residual value for x = 3 should be a positive number because the data point is above the line of best fit.
F
Fiona made a subtraction error when she computed the residual value for x = 4.
T
The residual value for x = 2 should be a positive number because the given point is above the line of best fit.
T
The residual value for x = 3 is negative because the given point is below the line of best fit.
13

The equation for the line of best fit is f(x) ≈ 1.8x − 5.4 for the set of values in the table.

Question illustration
1
14
2
20
4
45
5
54
14

The table shows the shoe sizes of women of different ages.

Question illustration
A
a weak positive correlation
B
a strong positive correlation
C
a weak negative correlation
D
a strong negative correlation
15

The graph shows the exponential regression model for data representing a rabbit population after x years.

Question illustration
T
The graph of the regression model is limited to whole-number values for x.
T
The graph of the regression model is limited to whole-number values for y.
T
The graph of the regression model cannot be used to approximate the population size for year 1.
T
The graph of the regression model can be used to predict the population size for any number of years in the future.
16

The table shows a company’s profit based on the number of pounds of food produced.

Question illustration
$
$5,150
$
$5,300
$
$10,150
$
$11,000
17

Which best describes the strength of the model with an r-value of –0.93?

A
a weak positive correlation
B
a strong positive correlation
C
a weak negative correlation
D
a strong negative correlation
18

The table shows the height of a candle as it is continuously burned.

Question illustration
A
The candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour.
B
The candle starts at a height of 25 centimeters and burns at a rate of 2.5 centimeters per hour.
C
The candle starts at a height of 22.5 centimeters and burns at a rate of 0.625 centimeters per hour.
D
The candle starts at a height of 22.5 centimeters and burns at a rate of 2.5 centimeters per hour.

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