Quiz about Quadratics Test Review

Question 1

If given the equation

y = 3(x + 5)² - 4, what is the vertex of the parabola?

Accepted Answer

(-5, -4)

Answer

(5, -4)

Answer

(-15, -4)

Answer

(15, -4)

Question 2

What is the axis of symmetry for the following equation?

y=3x²-6x+5

Accepted Answer

x=1

Answer

x=-6

Answer

x=-1

Answer

x=2

Question 3

John throws a ball upward at a speed of 40 feet per second from a platform that is 20 feet high. The height of the ball is given by the function h(t) = -16t² + 40t + 20, where t is the time in seconds. What is the maximum height that the ball reaches?

Accepted Answer

A. 45 ft.

Answer

B. 50 ft.

Answer

C. 60 ft.

Answer

D. 55 ft.

Question 4

Find the axis of symmetry of

$$y=5\left(x+3\right)^2-4$$

Accepted Answer

$$x=-3$$

Answer

$$x=3$$

Answer

$$x=-4$$

Answer

$$x=4$$

Question 5

Find the vertex of

$$y=-\frac{1}{2}\left(x+11\right)^2-4$$

Accepted Answer

$$\left(-11,-4\right)$$

Answer

$$\left(11,-4\right)$$

Answer

$$\left(11,4\right)$$

Answer

$$\left(-11,4\right)$$

Question 6

Is the graph concave up or down?

f(x) = -(x + 3)² - 5

Accepted Answer

concave down

Answer

concave up

Question 7

Find the axis of symmetry for
f(x) = 2x²- 8x + 15.

Accepted Answer

x = 2

Answer

x = -4

Answer

y = 4

Answer

y = -4

Question 8

What is the vertex?

Accepted Answer

(3, -1)

Answer

(2, 4)

Answer

(0, 8)

Answer

(4, 2)

Question 9

Does this graph have a maximum or minimum value?

Accepted Answer

minimum

Answer

maximum

Answer

neither

Answer

both

Question 10

What is the equation for axis of symmetry?

Accepted Answer

x=3

Answer

y=3

Answer

x=5

Answer

x=1

Question 11

What is the vertex of the function
f(x) = -x²+8x-10?

Accepted Answer

(4,6)

Answer

(4,38)

Answer

(-4, -10)

Answer

(8, -10)

Question 12

A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function :

h(t) = -16t² + 40t + 10

How many seconds does it take the ball to reach its maximum height?

Accepted Answer

1.25 seconds

Answer

1.4 seconds

Answer

2.5 seconds

Answer

2 seconds

Question 13

The point in which a graph hits the x-axis is know as the _____

Accepted Answer

All answers are correct

Answer

Solution

Answer

x-intercept

Answer

Root

Question 14

Identify the vertex and whether the graph opens up or down.

Accepted Answer

(1, 4); opens down

Answer

(-1, 4); opens up

Answer

(-1, 4); opens down

Answer

(1, 4); opens up

Question 15

Solve:
2x² - 9x = 35

Accepted Answer

x = -5/2, x = 7

Answer

x = 7/2, x = -6

Answer

x = -5/2, x =5

Answer

x = -3/7, x =6

Question 16

Question 16.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 17

Question 17.

Accepted Answer

-3, 4

Answer

3, 4

Answer

-4, -3

Answer

-3

Question 18

Solve using the quadratic formula

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 19

Find the zeros.

Accepted Answer

0 and 4

Answer

0 and -4

Answer

0

Answer

-4

Question 20

What are the solutions to this equation? (x-3)(x+2)=0

Accepted Answer

x=3,-2

Answer

x=-3,2

Answer

x=2,3

Answer

x=3,2

Question 21

Solve using any method.

x² + 4x= 12

Accepted Answer

x = -6 and 2

Answer

x = 2 and -2

Answer

x = 6 and -2

Answer

x = 1 and -1

Question 22

Solve:
x² - 49 = 0

Accepted Answer

x = -7, x = 7

Answer

x = -7

Answer

x = 7

Answer

x = -7, x = 1

Question 23

Convert x²- 9x + 20 = 0 to factored form and solve.

Accepted Answer

(x-4)(x-5); x = 4, 5

Answer

(x-10)(x+2); x = -2, 10

Answer

(x+4)(x+5); x = -5, -4

Answer

Not factorable

Question 24

Lisa solves the equation below:

x² + 4x - 12 = 2

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

by setting x -2 = 0 and x + 6 = 0.

Her solutions are x = 2 and x = -6.

Is Lisa correct? Why or why not?

Accepted Answer

No, she didn't set the equation to zero.

Answer

Yes, she factored correctly.

Answer

Yes, she factored correctly and then square rooted.

Answer

No, she did factor correctly, but solved it wrong. It should be equal to 2

Question 25

How many solutions does this graph have?

Accepted Answer

no solutions

Answer

one

Answer

two

Answer

cannot be determined

Question 26

What is the equation of this graph?

Accepted Answer

f(x) = (x - 1)² - 5

Answer

f(x) = (x -5)² + 1

Answer

f(x) = (x + 1)² - 5

Answer

f(x) = (x + 5)² +1

Question 27

Find the zeros of this quadratic.

Accepted Answer

b=4/5, b=-3

Answer

b=4/5, b=3

Answer

b=4, b=-3

Answer

b=1/5, b=3

Question 28

Which Formula is the Discriminant Formula?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 29

If the Discriminant is >0 How many real solutions will you have?

Accepted Answer

2

Answer

1

Answer

3

Answer

0

Question 30

If the Discriminant is =0 How many real solutions will you have?

Accepted Answer

1

Answer

2

Answer

3

Answer

0

Question 31

If the Discriminant is < 0, How many real solutions will you have?

Accepted Answer

0

Answer

1

Answer

2

Answer

3

Question 32

If there are 2 real solutions, which value can be the discriminant?

Accepted Answer

13

Answer

0

Answer

-7

Question 33

If there is 1 real solution, which value can be the discriminant?

Accepted Answer

0

Answer

13

Answer

-7

Question 34

What should you do first in solving this equation?
x² + 6x - 13 = 3

Accepted Answer

Make it equal 0 by subtracting 3 on each side

Answer

Get factored form

Answer

Write down: a=1, b=6, c=-13

Answer

Type it all in a calculator.

Question 35

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

Accepted Answer

Option B is correct

Answer

No Real Solution

Answer

C.

Answer

D.

Question 36

If the graph of a quadratic does not touch the x-axis at any point, then it has:

Accepted Answer

No Real Solution / Imaginary solutions

Answer

1 Real Solution

Answer

2 Real Solutions

Answer

Half a Solution

Question 37

(2+3i)(4-2i)

Accepted Answer

14+8i

Answer

48+16i

Answer

12-8i

Answer

2-8i

Question 38

What is the simplified form of (-9 + 5i) + (3 -2i)

Accepted Answer

-6 + 3i

Answer

-12 + 31i

Answer

-11 + 7i

Answer

5 - 3i

Question 39

What is the simplifies form of (11 - 7i) - (-3 + 12i)

Accepted Answer

14 -19i

Answer

8 - 19i

Answer

8 + 5i

Answer

13- 19i

Question 40

Simplify.

Accepted Answer

5i

Answer

-5i

Answer

5

Answer

-5

Question 41

The function below represents the flight of a ball being thrown by a girl who is standing on a box. What is the maximum height of the ball?
y = -1/2x² + 2x + 2?

Accepted Answer

4 feet

Answer

2 feet

Answer

About 5 feet

Answer

0 feet

Question 42

In a number line, what does it represent?

Accepted Answer

Greater or equal to -2 but less that or equal to 6

Answer

Greater than -2 but less than 6

Answer

greater than 6 but less than -2

Answer

Greater or equal to 6 but less than or equal to -2

Question 43

Which correctly shows the inequality $$y>x^2+4x+6$$ ?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 44

Is the point (2, 1) a solution to the inequality shown?

Accepted Answer

No

Answer

Yes

Question 45

Which correctly shows the inequality $$y\ge-x^2+2x+1$$ ?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 46

Test the point (0, 0). Is the solution area inside or outside the parabola for the inequality $$y>-2x^2-8x-7$$ ?

Accepted Answer

Outside

Answer

Inside

Answer

Neither

Question 47

Which correctly shows the inequality $$y

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 48

Determine the number of solutions to the given linear-quadratic system.

Accepted Answer

2 solutions

Answer

0 solutions

Answer

1 solution

Answer

3 solutions

Question 49

What are the solutions to the graphed system?

Accepted Answer

(0,-2) and (3,1)

Answer

(0,-2) and (-3,1)

Answer

(-2,0) and (2,0)

Answer

(2,2) and (1,0)

Question 50

Solve the system of linear and quadratic equations:

y = 5

y = 2x² - 16x + 29

Accepted Answer

(6, 5) and (2, 5)

Answer

(2, 6)

Answer

(6, 2)

Answer

(5, 6) and (5, 2)

Question 51

How many solutions does this system of equations have?

Accepted Answer

one solution

Answer

two solutions

Answer

no solutions

Answer

All of the above

Question 52

Determine the solution to the given linear-quadratic function.

Accepted Answer

(2, -3)

Answer

(0, 0)

Answer

(3, 0)

Answer

(-3, 2)

Question 53

Question 53.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

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