PreAP Algebra 1 Unit 3 ‒ Quadratic Functions Practice Test
PreAP Algebra 1 Unit 3 ‒ Quadratic Functions Practice Test
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Question 1 of 19
1. Question
Find the rate of change from the graph.
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Question 2 of 19
2. Question
Find the rate of change:
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Question 3 of 19
3. Question
Find solutions to x ^{2} +x−6=0.
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Question 4 of 19
4. Question
Solve for x. 3x ^{2} +13x−4=−10+2x
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Question 5 of 19
5. Question
Solve for x. 7x^{2} −4x+13=0
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Question 6 of 19
6. Question
Billy is several years older than Johnny. Billy is one less than twice as old as Johnny, and their ages multiplied together make ninetyone. When will Billy be 1.5 times Johnny’s age?
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Question 7 of 19
7. Question
A farmer is building a fence around a field. He knows that the length of the field is 11 meters more than twice its width. If he knows that the area of the field is 30 square meters, what is the perimeter, in meters, of the field?
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Question 8 of 19
8. Question
A construction worker tosses a brick from a tall building. The brick’s height (in meters above the ground) ttt seconds after being thrown is modeled by h(t)=5t 2 +20t+105 Suppose we want to know the height of the brick above the ground at its highest point. How far above the ground was the brick?
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Question 9 of 19
9. Question
Tom started an entertainment company. The net value of the company (in thousands of dollars) t months after its creation is modeled by v(t)=4t 2 24t28 Tom wants to know when his company will be at its lowest net value. How many months after its creation does the company reach its lowest net value?
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Question 10 of 19
10. Question
We can think of g as a translated (shifted) version of f . Complete the description of the transformation. Use nonnegative numbers.To get the function g, shift f _____________ by _____________ units.
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Question 11 of 19
11. Question
The parabola y=x^{2} is shifted up by 4 units. What is the equation of the new parabola ?
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Question 12 of 19
12. Question
Function g can be thought of as a translated (shifted) version of f(x)=x^{2}
What is the equation for g(x)?CorrectIncorrect 
Question 13 of 19
13. Question
The parabola y=x^{2} is scaled vertically by a factor of 7. What is the equation of the new parabola?
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Question 14 of 19
14. Question
What is the missing constant term in the perfect square that starts with x^{2}+10x ?
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Question 15 of 19
15. Question
Imani and Todd were trying to solve the equation: x ^{2} +6 x +5=8 x
Imani said, “I can factor the lefthand side into the zero product property.” (x+ 1)(x +5) , so I’ll solve using
Todd said, “I can solve by completing the square. If I add 4 to each side, I can rewrite the equation as ( x+ 3 )^{ 2} =12 .”
Whose solution strategy would work?CorrectIncorrect 
Question 16 of 19
16. Question
What is the minimum possible value of the expression ? 3 x^{2}+6 x−10 .
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Question 17 of 19
17. Question
Which of the following is the correct solution when x ^{2}−10 x−11=0 is solved using the quadratic equation?
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Question 18 of 19
18. Question
What is the vertex of the parabola y=2 ( x−3 )^{2} + 4 ?
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Question 19 of 19
19. Question
What causes the graph of y=x^{2} to open downward?
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