Quadratic Functions Worksheet

Math | Graded Assignment | Unit Test, Part 2 | Systems of EquationsName:
Date:
Graded Assignment
Unit Test, Part 2: Systems of Equations
Answer the questions below. When you are finished, submit this test to your teacher for full credit.
Total score: ____ of 15 points
(Score for Question 1: ___ of 5 points)
1. What is the solution to the system of equations?
3 x − 6 y = −12
x − 2y = −8
(a) Use the substitution method to justify that the given system of equations has no solution.
(b) What do you know about the two lines in this system of equations?
Answer:
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Math | Graded Assignment | Unit Test, Part 2 | Systems of Equations
(Score for Question 2: ___ of 5 points)
2. Use the linear combination method to solve the system of equations. Explain each step of your solution.
2 x − 3 y = 13
x + 2y = −4
Answer:
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Copying or distributing without K12’s written consent is prohibited.
Page 2 of 3
Math | Graded Assignment | Unit Test, Part 2 | Systems of Equations
(Score for Question 3: ___ of 5 points)
3. Mr. Sanchez’s class sold fruit pies for $1.65 each and Mr. Kelly’s class sold bottles of fruit juice for $1.36
each. Together, the classes sold 79 items and earned $118.17 for their school.
(a) Write and solve a system of equations that model the problem. Show all your work.
(b) Which class earned more money?
(c) How much more money did that class earn?
Answer:
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Math | Graded Assignment | Unit Test, Part 2 | Quadratic Functions
Name: Evangelene
Date: 2/3/22
Graded Assignment
Unit Test, Part 2: Quadratic Functions
Answer the questions below. When you are finished, submit this test to your teacher for full credit.
Total score: ____ of 15 points
(Score for Question 1: ___ of 5 points)
1. Graph the function
f (x ) = x 2 + 4 x − 12
on the coordinate plane.
(a) What are the x-intercepts?
(b) What is the y-intercept?
(c) What is the maximum or minimum value?
Answer:
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Copying or distributing without K12’s written consent is prohibited.
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Math | Graded Assignment | Unit Test, Part 2 | Quadratic Functions
© 2016 K12 Inc. All rights reserved.
Copying or distributing without K12’s written consent is prohibited.
Page 2 of 5
Math | Graded Assignment | Unit Test, Part 2 | Quadratic Functions
(Score for Question 2: ___ of 5 points)
2. At what point(s) do these graphs intersect?
y = x 2 + 3x − 5
y = 4x + 1
Seth’s solution:
y = x 2 + 3x − 5
y = 4x + 1
x 2 + 3x − 5 = 4x + 1
x2 − x − 6 = 0
(x − 3 )(x + 2 ) =
0
x = 3 and x = −2
The graphs intersect at.
(−2, 0 ) and (3, 0 ) .
Is Seth’s solution correct? Explain.
Answer:
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Copying or distributing without K12’s written consent is prohibited.
Page 3 of 5
Math | Graded Assignment | Unit Test, Part 2 | Quadratic Functions
(Score for Question 3: ___ of 5 points)
3. A rocket is launched vertically from the ground with an initial velocity of 64 ft/sec .
(a) Write a quadratic function
h (t )
that shows the height, in feet, of the rocket t seconds after it was
launched.
(b) Graph
h (t )
on the coordinate plane.
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Math | Graded Assignment | Unit Test, Part 2 | Quadratic Functions
(c) Use your graph from Part 3(b) to determine the rocket’s maximum height, the amount of time it took
to reach its maximum height, and the amount of time it was in the air.
Answer:
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Copying or distributing without K12’s written consent is prohibited.
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