Quiz about Unit 10 quadratics review

Question 1

Which is a simplified form of the following expression? $$2a^4b^5\left(3a^2b^3\right)$$

Accepted Answer

$$6a^6b^8$$

Answer

$$5a^6b^8$$

Answer

$$6a^8b^{15}$$

Answer

$$-a^2b^2$$

Question 2

What is the solution set of $$3x^2-5x+2=0$$ ?

Accepted Answer

x = 2/3, x = 1

Answer

x = 3

Answer

x = 1/2

Answer

x = -2/3, x = -1

Question 3

What is the solution set for the equation below? (4x - 1)(4x + 1) = 0

Accepted Answer

{x = 1/4, x = -1/4}

Answer

x = 1/2, x = -1/2

Answer

x = 1, x = -1

Answer

x = 2, x = -2

Question 4

What values of x are solutions of $$x^2=11x-28$$ ?

Accepted Answer

x = 4, x = 7

Answer

x = -4, x = -7

Answer

x = 9, x = 2

Answer

x = 2

Question 5

Which quadratic equation has solutions of 2 and 4?

Accepted Answer

$$x^2$$ - 6x + 8 = 0

Answer

$$x^2$$ - 6x - 8 = 0

Answer

$$x^2$$ - 2x + 8 = 0

Answer

$$x^2$$ + 6x + 8 = 0

Question 6

Which of the following is a solution of $$x^2+4x+3=0$$

Accepted Answer

x = -3, x = -1

Answer

x = -2, x = 2

Answer

x = 3, x = 1

Answer

x = 0

Question 7

What is the positive solution of $$2x^2+5x-12=0?$$

Accepted Answer

3/2

Answer

-3/2

Answer

-4

Answer

4

Question 8

What are the roots of the quadratic equation $$2x^2+18x+39=0$$ ?

Accepted Answer

$$\frac{-9\pm\sqrt[]{3}}{2}$$

Answer

$$\frac{9\pm\sqrt[]{3}}{2}$$

Answer

$$\frac{-18\pm\sqrt[]{9}}{4}$$

Answer

$$9\pm\sqrt[]{3}$$

Question 9

The length of a rectangle is given by (x + 5) feet and the width is (x + 3) feet. If the area is 40 square feet, what are the length and width?

Accepted Answer

length = 8 feet, width = 6 feet

Answer

length = 10 feet, width = 4 feet

Answer

length = 5 feet, width = 8 feet

Answer

length = 7 feet, width = 5 feet

Question 10

A person throws a stone upward from the base of a building. The height in feet, h, of the stone above the ground t seconds after it was thrown, is given by the equation $$h(t)=-16t^2+48t+64$$ . How long will it take for the stone to hit the ground?

Accepted Answer

4 seconds

Answer

3 seconds

Answer

2 seconds

Answer

5 seconds

Question 11

Which of the following is most likely the graph of a line with an undefined slope?

Accepted Answer

Question 12

Given the following graph, what are the zeros?

Accepted Answer

(-1, 2)

Answer

(-2, -1)

Answer

(-2, 1)

Answer

(1, 2)

Question 13

Look at the graph. Select ALL factors of the quadratic equation that is graphed.

Accepted Answer

x+5

Accepted Answer

x-1

Answer

x-5

Answer

x=0

Answer

x+1

Question 14

Solve 2x² + 7x - 15 = 0

Accepted Answer

-5 or 1.5

Answer

-1.5 or 5

Answer

No Solution

Answer

0.7 or 5

Question 15

A ball is hit from the ground. When the ball has traveled a horizontal distance of x meters, it can be modeled by the function;

$$h\left(x\right)=-\frac{1}{4}x^2+2x$$

What is the maximum height that the ball traveled?

Accepted Answer

4

Answer

8

Answer

1/4

Answer

0

Question 16

What are the coordinates of the vertex of $$g\left(x\right)=\left(x-3\right)^2-9$$ ?

Accepted Answer

(3, -9)

Answer

(0, 0)

Answer

(6, 0)

Answer

(-3, -9)

Question 17

Which of the following equations matches standard form of a quadratic?

Accepted Answer

y = ax² + bx + c

Answer

ax + by = c

Answer

y = a(x - h)² + k

Answer

y = mx + b

Question 18

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:

h = -16t² + 80

About how long did it take for the balloon to hit the ground?

Accepted Answer

2.24 seconds

Answer

1.73 seconds

Answer

2.45 seconds

Answer

2.83 seconds

Question 19

What can the roots to a quadratic equation be called?

Accepted Answer

zeros

Accepted Answer

solutions

Accepted Answer

x-intercepts

Answer

none of the choices

Question 20

Which value of x is a solution to this equation?

$$5x^2-36x+36=0$$

Accepted Answer

$$x=1.2$$

Answer

$$x=-6$$

Answer

$$x=4$$

Answer

$$x=-1.8$$

Question 21

A raft is dropped from a helicopter 256 feet in the air above the ocean. Its approximate height, h, after t seconds is given by the function

h(t) = -16t² + 256. How many seconds did it take the raft to hit the water?

Accepted Answer

4

Answer

-4

Answer

2

Answer

8

Question 22

Question 22.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 23

Determine the roots of x² - 49 = 0

Accepted Answer

7, -7

Answer

$$\sqrt{98}$$ , $$-\sqrt{98}$$

Answer

only 7

Answer

$$\frac{49}{2},-\frac{49}{2}$$

Question 24

Which equation represents the line that passes through the points (3, 6) and (4, 2)?

Accepted Answer

$$y=-4x+18$$

Answer

$$y=4x-18$$

Answer

$$y=2x-6$$

Answer

$$y=2x$$

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