Quiz about A2A Final Review Master S25

Question 1

1. Solve the equation by factoring $$6x^2+3x=5x^2+4x$$

Accepted Answer

0

Accepted Answer

1

Answer

-1

Answer

3

Answer

2

Question 2

2. Solve the equation by factoring $$-6x^2+6x+3=2x-7x^2$$

Accepted Answer

-1

Accepted Answer

-3

Answer

0

Answer

1

Answer

3

Question 3

24.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 4

25.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 5

26b. Solve the system by graphing.

$$y=\left(x+2\right)^2-9$$

$$y=2x+3$$ What were the solutions? Select all that apply.

Accepted Answer

(-4, -5)

Accepted Answer

(2, 7)

Answer

(-2, -9)

Answer

(0, 3)

Answer

(5, 0)

Question 6

27b. Solve the system by graphing.

$$y=-2x+3$$

$$y=x^2-6x+3$$

What were the solutions? Select all that apply.

Accepted Answer

(4, -5)

Accepted Answer

(0, 3)

Answer

(3, 6)

Answer

(-2, 6)

Answer

(-6, 9)

Question 7

28. A ball is catapulted upward in the air at 48 feet per second from ground level. The height of the ball is modeled by the equation $$h\left(t\right)=-16t^2+48t$$ where $$h\left(t\right)$$ is the height of the ball in feet and t is the time since the ball was launched in seconds. When does the ball it the ground?

Accepted Answer

3 seconds

Answer

1 second

Answer

2 seconds

Answer

4 seconds

Answer

5.5 seconds

Question 8

29. A ball is catapulted upward in the air at 48 feet per second from ground level. The height of the ball is modeled by the equation $$h\left(t\right)=-16t^2+48t$$ where $$h\left(t\right)$$ is the height of the ball in feet and t is the time since the ball was launched in seconds. When is the ball at the maximum height?

Accepted Answer

1.5 seconds

Answer

1 second

Answer

2 seconds

Answer

2.5 seconds

Answer

3 seconds

Question 9

30. A ball is catapulted upward in the air at 48 feet per second from ground level. The height of the ball is modeled by the equation $$h\left(t\right)=-16t^2+48t$$ where $$h\left(t\right)$$ is the height of the ball in feet and t is the time since the ball was launched in seconds. What is the maximum height of the ball?

Accepted Answer

36 ft

Answer

16 ft

Answer

48 ft

Answer

56 ft

Answer

28 ft

Question 10

31. A ball is catapulted upward in the air at 48 feet per second from ground level. The height of the ball is modeled by the equation $$h\left(t\right)=-16t^2+48t$$ where $$h\left(t\right)$$ is the height of the ball in feet and t is the time since the ball was launched in seconds. What is the height of the ball 1 second after launch?

Accepted Answer

32 ft

Answer

16 ft

Answer

28 ft

Answer

22 ft

Answer

36 ft

Question 11

32. What is the equation of the parabola with x-intercepts (5, 0) and (-1, 0) and through the point (1, 16)?

Accepted Answer

y = -2(x - 5)(x + 1)

Answer

y = (x - 5)(x + 1)

Answer

y = (x + 5)(x + 1)

Answer

y = 2(x - 5)(x - 1)

Answer

y = -1/3(x - 5)(x + 1)

Question 12

33. What is the equation of the parabola with x-intercepts (5, 0) and (-1, 0) and through the point (1, 16)?

Accepted Answer

y = 2(x - 6)(x + 2)

Answer

y = (x - 6)(x + 2)

Answer

y = -(x + 6)(x + 2)

Answer

y = -2(x - 6)(x + 2)

Answer

y = 3(x - 6)(x + 2)

Question 13

34. A toy rocket is launched upward in the air at 128 feet per second from ground level. The height of the rocket is modeled by the equation $$h\left(t\right)=-16t^2+48t$$ where $$h\left(t\right)$$ is the height of the rocket in feet and t is the time since the rocket was launched in seconds. What is height of the rocket 2 seconds after launch?

Accepted Answer

192 ft

Answer

128 ft

Answer

256 ft

Answer

16 ft

Answer

48 ft

Question 14

35. A toy rocket is launched upward in the air at 128 feet per second from ground level. The height of the rocket is modeled by the equation $$h\left(t\right)=-16t^2+48t$$ where $$h\left(t\right)$$ is the height of the rocket in feet and t is the time since the rocket was launched in seconds. What is the maximum height of the rocket?

Accepted Answer

256 ft

Answer

128 ft

Answer

192 ft

Answer

328 ft

Answer

48 ft

Question 15

36. A toy rocket is launched upward in the air at 128 feet per second from ground level. The height of the rocket is modeled by the equation $$h\left(t\right)=-16t^2+48t$$ where $$h\left(t\right)$$ is the height of the rocket in feet and t is the time since the rocket was launched in seconds. When does the rocket hit the ground?

Accepted Answer

8 seconds

Answer

6 seconds

Answer

2 seconds

Answer

16 seconds

Answer

12 seconds

Question 16

37. Use quadratic regression (using the calculator) to write the equation of the parabola that passes through the points given. (-2, 3), (0, 1), (2, 7)

Accepted Answer

y = x² + x + 1

Answer

y = 2x² + x + 1

Answer

y = x² + 3x + 1

Answer

y = 3x² + x + 1

Answer

y = x² + 2x + 1

Question 17

38a. The table show the population of a town from 2015 to 2023. Assume that t is the number of years since 2015 and P is measured in thousands of people.
Year, t: 0, 1, 2, 3, 4, 5, 6, 7, 8
Population, P: 22.8, 25.0, 26.5, 27.1, 27.8, 28.1, 27.9, 26.9, 26.1
a) Find a quadratic model for the data. Round to two decimal places.

Accepted Answer

y = -0.21x² + 2.09x + 22.96

Answer

y = 0.21x² - 9.02x + 26.92

Answer

y = 0.38x + 24.95

Answer

y = -0.52x² + 3.09x + 20.33

Answer

y = 3.30x + 42.95

Question 18

38b. The table show the population of a town from 2015 to 2023. Assume that t is the number of years since 2015 and P is measured in thousands of people.
Year, t: 0, 1, 2, 3, 4, 5, 6, 7, 8
Population, P: 22.8, 25.0, 26.5, 27.1, 27.8, 28.1, 27.9, 26.9, 26.1
b) Use the model, y = -0.21x² + 2.09x + 22.96, to predict the population in 2026

Accepted Answer

20.54 thousand people

Answer

40.24 thousand people

Answer

54.1 thousand people

Answer

-857724 thousand people

Answer

27.2 thousand people

Question 19

48. Which row of Pascal's Triangle should you use to expand (2x - 5y)⁶ ?

Accepted Answer

1 6 15 20 15 6 1

Answer

1 4 6 4 1

Answer

1 5 10 10 5 1

Answer

1 3 3 1

Answer

1 7 21 35 35 21 7 1

Question 20

49. Which row of Pascal's Triangle should you use to expand (a + 3b)⁷ ?

Accepted Answer

1 7 21 35 35 21 7 1

Answer

1 4 6 4 1

Answer

1 5 10 10 5 1

Answer

1 3 3 1

Answer

1 6 15 20 15 6 1

Question 21

54. Divide $$\left(7m^3+35m^2-2m\right)\div\left(m+5\right)$$

Accepted Answer

$$7m^2-2-\frac{10}{m+5}$$

Answer

$$7m^2-2m+10$$

Answer

$$7m^2+2m-10$$

Answer

$$7m^2-2$$

Answer

$$7m^2-2-\frac{2}{m+5}$$

Question 22

55. Divide $$\left(n^3+n^2-8n\right)\div\left(n+1\right)$$

Accepted Answer

$$n^2-8+\frac{8}{n+1}$$

Answer

$$n^2-8n+8$$

Answer

$$n^2+2n-6$$

Answer

$$n^2-8n$$

Answer

$$n^2-8+\frac{1}{n+1}$$

Question 23

71. Which of the following is a root of
x³ - 3x² - 4x + 12 ?

Accepted Answer

3

Answer

-5

Answer

1

Answer

-1

Answer

4

A2A Final Review Master S25

78 questions

7. Write the equation in vertex form.

8. Write the equation in vertex form, then change forms to standard form.

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