Unit 4 Study Guide part 2 (Due 3/5/2024) - James Parson | Library

Day 1 (3/4/24)

Solve by Factoring

Required

20

Factor and solve this standard form quadratic equation. 

Use the box method to show your work.

Solution 1:_______ 

Solution2:_______

Required

20

Factor and solve this standard form quadratic equation. 

Use the box method to show your work.

Solution 1:_______ 

Solution2:_______

Solve using Square Roots

Required

20

Solve this quadratic equation by taking the square root.

Solution 1:_______ 

Solution2:_______

Required

20

Solve this quadratic equation by taking the square root.

Solution 1:_______ 

Solution2:_______

Required

20

Solve this quadratic equation by taking the square root.

Solution 1:_______ 

Solution2:_______

Completing the Square

Required

20

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

Solution 1:_______ 

Solution2:_______

Required

20

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

Solution 1:_______ 

Solution2:_______

Required

20

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

Solution 1:_______ 

Solution2:_______

Required

20

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

Solution 1:_______ 

Solution2:_______

Required

20

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

Solution 1:_______ 

Solution2:_______

Required

20

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

Solution 1:_______ 

Solution2:_______ 

Required

20

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

x₁=_______ 
x₂=_______

Required

20

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

x₁=_______ 
x₂=_______

Required

20

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

Required

20

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

x₁=_______ 

x₂=_______

Required

20

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

x₁=_______ 

x₂=_______

Required

20

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

x₁=_______ 

x₂=_______

Required

20

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

x₁=_______ 

x₂=_______

Required

20

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

x₁=_______ 

x₂=_______

Required

20

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

x₁=_______ 

x₂=_______

Required

20

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

x₁=_______ 

x₂=_______

Quadratic Equation Word 
Problems

Required

20

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_______

Required

20

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_______

Required

30

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?_______ 

Required

30

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?_______ 

Required

30

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? _______ 