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Biblioteka

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

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Posljednje ažuriranje 5 months ago
26

Day 1 (3/4/24)

Solve by Factoring

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Solve using Square Roots

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Completing the Square

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Day 2 (3/5/24)

Solve using the Quadratic Formula

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Quadratic Equation Word

Problems

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Pitanje 1
1.

Factor and solve this standard form quadratic equation.

Use the box method to show your work.

Solution 1:

Solution2:

Pitanje 2
2.

Factor and solve this standard form quadratic equation.

Use the box method to show your work.

Solution 1:

Solution2:

Pitanje 3
3.

Solve this quadratic equation by taking the square root.

Solution 1:

Solution2:

Pitanje 4
4.

Solve this quadratic equation by taking the square root.

Solution 1:

Solution2:

Pitanje 5
5.

Solve this quadratic equation by taking the square root.

Solution 1:

Solution2:

Pitanje 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:

Pitanje 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:

Pitanje 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:

Pitanje 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:

Pitanje 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:

Pitanje 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:

Pitanje 12
12.

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

x₁=

x₂=

Pitanje 13
13.

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

x₁=

x₂=

Pitanje 14
14.

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

x₁=

x₂=

Pitanje 15
15.

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

x₁=

x₂=

Pitanje 16
16.

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

x₁=

x₂=

Pitanje 17
17.

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

x₁=

x₂=

Pitanje 18
18.

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

x₁=

x₂=

Pitanje 19
19.

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

x₁=

x₂=

Pitanje 20
20.

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

x₁=

x₂=

Pitanje 21
21.

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

x₁=

x₂=

Pitanje 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

Pitanje 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

Pitanje 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?

Pitanje 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?

Pitanje 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?