Part 1:

What is the first step to solve 2(x-3) + 8 = 40?*

1 point

add 8 to both sides of the = sign

subtract 8 from both sides of the = sign

take the square root of both sides

divide both sides of the = sign by 2

add 3 to both sides of the = sign

2. How do you undo the squaring in the equation x = 256?*

1 point

divide both sides of the = sign by 2

subtract 2 from both sides of the = sign

take the square root of both sides of the = sign

multiply both sides of the = sign by 2

3. Solve the following equations for x on a separate sheet of paper and upload a picture of your work. It is easiest to post pictures to a google doc and then upload the google doc here. Make sure to solve all three equations.*

6 points

Add file

4a. A tennis ball is dropped from the top of a building. The ball's height, in meters, t seconds after it is released is h(t) = -4.9t + 200. What is the height of the tennis ball at 3 seconds? EXPLAIN HOW YOU FOUND YOUR ANSWER.*

Your answer

4b. A tennis ball is dropped from the top of a building. The ball's height, in meters, t seconds after it is released is h(t) = -4.9t + 200. When does the ball hit the ground? EXPLAIN HOW YOU FOUND YOUR ANSWER.*

2 points

5a. A toy rocket is launched. Its height in feet can be modeled by the function the h(t)=-16t + 134.4t + 4. The time t is measured in seconds. What is the height of the rocket before it is launched? EXPLAIN HOW YOU FOUND YOUR ANSWER.*

Your answer

5b. A toy rocket is launched. Its height in feet can be modeled by the function the h(t)=-16t + 134.4t + 4. The time t is measured in seconds. Find the x of vertex of the function using -B/(2A). Then find the y of the vertex. EXPLAIN HOW YOU FOUND YOUR ANSWERS.*

Your answer

5c. A toy rocket is launched. Its height in feet can be modeled by the function the h(t)=-16t + 134.4t + 4. The time t is measured in seconds. Using your answer from part b, show what the vertex form of the equation is and then use this form to find when the rocket will hit the ground. Upload a picture from a separate sheet of paper that demonstrates your work.

Part 2

ONE: Which of the following is y = (x + 5)(x - 7) in general form? use a 2x2 box and put the two factors of x+5 and x-7 on the outside. Then multiply into the box. Then combine like terms to find the final answer. (see the first video link above)*

1 point

y = x - 35x - 2

y = x - 12x + 35

y = x + 2x - 35

y = x + 5x - 7

y = x - 2x - 35

TWO: Which of the following is y = (2x - 3)(x - 4) in general form? (see the hint in problem ONE)*

1 point

y = 2x + 11x + 12

y = 2x + 24x + 12

y = 2x - 7x + 12

y = 2x - 11x + 12

y = 2x - 3x - 4

THREE: Which of the following is y = -4(x + 1)(x + 2) in general form? (Remember to distribute the -4 to (x+1) first and then use the box.)*

1 point

y = 16x + 48x + 32

y = -4x - 4x + 8

y = -4x - 12x - 8

y = -4x + 32x - 8

y = -4x + 1x + 2

y = -4x + 12x - 8

FOUR: Which of the following is y = x + 10x + 24 in factored form? Use p. 26 of your packet to help you.*

1 point

y = (x - 6)(x - 4)

y = (x + 10)(x + 24)

y = (x + 12)(x - 2)

y = (x + 8)(x + 3)

y = (x + 6)(x + 4)

FIVE: Which of the following is y = x - x - 30 in factored form? Use p. 26 of your packet to help you.*

1 point

y = (x + 6)(x - 5)

y = (x - 10)(x + 3)

y = (x - 1)(x - 30)

y = (x - 6)(x + 5)

y = (x + 10)(x - 3)

SIX: When factoring 3x - 11x + 6, we need to find two mystery numbers that:*

1 point

Add to -11 and multiply to 18

Add to +6 and multiply to -33

Add tp 18 and multiply to -11

Add to +6 and multiply to -11

Add to -11 and multiply to 6

SEVEN: Which of the following is y = 3x - 11x + 6 in factored form? Use problem SIX, p. 26, and the X and box method to help you.*

1 point

y = (3x - 1)(x - 6)

y = (3x - 3)(x - 2)

y = (3x - 11)(x + 6)

y = (3x + 2)(x + 3)

y = (3x - 2)(x - 3)

EIGHT: What are BOTH solutions to (x - 2)(3x + 12) = 0? Choose two answers.*

1 point

2

4

-12

-4

-2

0

Part 3

ONE: Which of the following is y = (x + 5)(x - 7) in general form? make 2x2 box and put the two factors of x+5 and x-7 on the outside. Then multiply into the box. Then combine like terms to find the final answer. (see the first video link above)*

1 point

y = x - 35x - 2

y = x - 12x + 35

y = x + 2x - 35

y = x + 5x - 7

y = x - 2x - 35

TWO: Which of the following is y = (2x - 3)(x - 4) in general form? (see the hint in problem ONE)*

1 point

y = 2x + 11x + 12

y = 2x + 24x + 12

y = 2x - 7x + 12

y = 2x - 11x + 12

y = 2x - 3x - 4

THREE: Which of the following is y = -4(x + 1)(x + 2) in general form? (Remember to distribute the -4 to (x+1) first and then use the box.)*

1 point

y = 16x + 48x + 32

y = -4x - 4x + 8

y = -4x - 12x - 8

y = -4x + 32x - 8

y = -4x + 1x + 2

y = -4x + 12x - 8

FOUR: Which of the following is y = x + 10x + 24 in factored form? Use p. 26 of your packet to help you.*

1 point

y = (x - 6)(x - 4)

y = (x + 10)(x + 24)

y = (x + 12)(x - 2)

y = (x + 8)(x + 3)

y = (x + 6)(x + 4)

FIVE: Which of the following is y = x - x - 30 in factored form? Use p. 26 of your packet to help you.*

1 point

y = (x + 6)(x - 5)

y = (x - 10)(x + 3)

y = (x - 1)(x - 30)

y = (x - 6)(x + 5)

y = (x + 10)(x - 3)

SIX: When factoring 3x - 11x + 6, we need to find two mystery numbers that:*

1 point

Add to -11 and multiply to 18

Add to +6 and multiply to -33

Add tp 18 and multiply to -11

Add to +6 and multiply to -11

Add to -11 and multiply to 6

SEVEN: Which of the following is y = 3x - 11x + 6 in factored form? Use problem SIX, p. 26, and the X and box method to help you.*

1 point

y = (3x - 1)(x - 6)

y = (3x - 3)(x - 2)

y = (3x - 11)(x + 6)

y = (3x + 2)(x + 3)

y = (3x - 2)(x - 3)

EIGHT: What are BOTH solutions to (x - 2)(3x + 12) = 0? Choose two answers.*

1 point

2

4

-12

-4

-2

0

Part 4

ONE: To use the quadratic formula, we must first identify A, B, and C. What are the A, B, and C values used to help solve x - 7x + 11 = 0?*

1 point

A=1, B=-7, C=11

A=x, B=-7x, C=+11

A=1, B=7, C=11

A=0, B=-7, C=11

A=0, B=7, C=11

TWO: To find the time of maximum height of something that is thrown or launched in the air we need to find the x of the vertex of the parabola. If the quadratic is in general form, which of the following calculations should we use?*

1 point

-B/(2A)

The quadratic formula

Y = mX + B

Cross Multiplication

The Pythagorean Theorem

THREE: h(t) = -4.9t + 63.7t + 2.5 represents the height in meters of a rocket that is launched over time measured in seconds. What is the height of the rocket before it is launched?*

1 point

2.5 meters

4.9 meters

1 meter

63.7 meters

0 meters

FOUR: h(t) = -4.9t + 63.7t + 2.5 represents the height in meters of a rocket that is launched over time measured in seconds. What is the approximate height of the rocket at 3 seconds? (Using the DESMOS calculator will be helpful.https://www.desmos.com/calculator)*

1 point

237.7 meters

178.9 meters

100 meters

149.5 meters

159.3 meters

63.7 meters

FIVE: h(t) = -4.9t + 63.7t + 2.5 represents the height in meters of a rocket that is launched over time measured in seconds. At what time will the rocket reach maximum height?*

1 point

4.9 seconds

63.7 seconds

8 seconds

2.5 seconds

13 seconds

6.5 seconds

SIX: h(t) = -4.9t + 63.7t + 2.5 represents the height in meters of a rocket that is launched over time measured in seconds. What will be the approximate maximum height of the rocket? (use the previous problem to help you)*

1 point

384.7 meters

825.7 meters

623.6 meters

63.7 meters

209.5 meters

SEVEN: h(t) = -4.9t + 63.7t + 2.5 represents the height in meters of a rocket that is launched over time measured in seconds. When will the rocket hit the ground? (Hint: use the quadratic formula and the DESMOS calculator will be helpful.)*

1 point

5.03 seconds

9.23 seconds

16.1 seconds

11.15 seconds

13.04 seconds

7.36 seconds

EIGHT: h(t) = -4.9t + 63.7t + 2.5 represents the height in meters of a rocket that is launched over time measured in seconds. When will the rocket be at 100 meters above the ground? Choose both answers.*

1 point

4.72 seconds

12.42 seconds

1.77 seconds

1.32 seconds

11.23 seconds

2.56 seconds

7.89 seconds