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Unit 4 Study Guide part 2 (Due 3/5/2024)

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26 questions
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Day 1 (3/4/24)

Solve by Factoring

Question 1
1.
Factor and solve this standard form quadratic equation.


Use the box method to show your work.

Solution 1:_______

Solution2:_______
Question 2
2.
Factor and solve this standard form quadratic equation.


Use the box method to show your work.

Solution 1:_______

Solution2:_______

Solve using Square Roots

Question 3
3.
Solve this quadratic equation by taking the square root.


Solution 1:_______

Solution2:_______
Question 4
4.
Solve this quadratic equation by taking the square root.



Solution 1:_______

Solution2:_______
Question 5
5.
Solve this quadratic equation by taking the square root.


Solution 1:_______

Solution2:_______

Completing the Square

Question 6
6.
Use Completing the Square to solve this quadratic equation. Give all solutions in simplest form. Split up the two answers.



Solution 1:_______

Solution2:_______
Question 7
7.
Use Completing the Square to solve this quadratic equation. Give all solutions in simplest form. Split up the two answers.


Solution 1:_______

Solution2:_______
Question 8
8.
Use Completing the Square to solve this quadratic equation. Give all solutions in simplest form. Split up the two answers.



Solution 1:_______

Solution2:_______
Question 9
9.
Use Completing the Square to solve this quadratic equation. Give all solutions in simplest form. Split up the two answers.


Solution 1:_______

Solution2:_______
Question 10
10.
Use Completing the Square to solve this quadratic equation. Give all solutions in simplest form. Split up the two answers.




Solution 1:_______

Solution2:_______
Question 11
11.
Use Completing the Square to solve this quadratic equation. Give all solutions in simplest form. Split up the two answers.

Solution 1:_______

Solution2:_______
Question 12
12.
Use Completing the Square to solve this quadratic equation. Give all solutions in simplest form. Split up the two answers.



x₁=_______
x₂=_______
Question 13
13.
Use Completing the Square to solve this quadratic equation. Give all solutions in simplest form. Split up the two answers.




x₁=_______
x₂=_______
Question 14
14.
Use Completing the Square to solve this quadratic equation. Give all solutions in simplest form. Split up the two answers.

x₁=_______
x₂=_______

Day 2 (3/5/24)

Solve using the Quadratic Formula

Question 15
15.
Use the quadratic formula to solve this quadratic equation. Give all solutions in simplest form.




x₁=_______

x₂=_______
Question 16
16.
Use the quadratic formula to solve this quadratic equation. Give all solutions in simplest form.



x₁=_______

x₂=_______
Question 17
17.
Use the quadratic formula to solve this quadratic equation. Give all solutions in simplest form.


x₁=_______

x₂=_______
Question 18
18.
Use the quadratic formula to solve this quadratic equation. Give all solutions in simplest form.



x₁=_______

x₂=_______
Question 19
19.
Use the quadratic formula to solve this quadratic equation. Give all solutions in simplest form.



x₁=_______

x₂=_______
Question 20
20.
Use the quadratic formula to solve this quadratic equation. Give all solutions in simplest form.




x₁=_______

x₂=_______
Question 21
21.
Use the quadratic formula to solve this quadratic equation. Give all solutions in simplest form.





x₁=_______

x₂=_______

Quadratic Equation Word

Problems

Question 22
22.
Solve this Real World Quadratic Equation word problem. Pick any method to solve.

The length of a rectangle is 3 more than the width. If the area is 40 square inches, what are the dimensions?

Length_______

Width_______
Question 23
23.
Solve this Real World Quadratic Equation word problem. Pick any method to solve.

The length of a rectangle is 4ft greater than the width. If each dimension is increased by 3, the new area will be 33 square feet larger. Find the dimensions of the original rectangle.

Length_______

Width_______
Question 24
24.
Solve this Real World Quadratic Equation word problem. Pick any method to solve. Round your answer to the nearest tenth.

A ball is thrown into the air by a person. Its height above the ground, h (measured in feet), at any given time after the ball is thrown, t (measured in seconds), can be modelled using the quadratic function h(t) = -16t² + 16t + 5.


From what height is the ball thrown?_______
When did it hit the ground?_______
What is the ball's maximum height?_______
Question 25
25.
Solve this Real World Quadratic Equation word problem. Pick any method to solve. Round your answer to the nearest tenth.

If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equations h(t) = -16t²+ 128t (if air resistance is neglected).


How long will it take for the rocket to return to the ground? _______
What is the ball's maximum height?_______
How long will it take the rocket to hit its maximum height?_______
Question 26
26.
Solve this Real World Quadratic Equation word problem. Pick any method to solve. Round your answer to the nearest tenth.

Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height could be modeled by the equation ℎ = −16t²+16t+480, where t is the time in seconds and h is the height in feet.


After how many seconds, did Jason hit the water? _______
What was the highest point that Jason reached?_______
How long did it take for Jason to reach his maximum height? _______