Quadratics - Assessment

1.

Multiple Choice

1 min

12 pts

Find the zeros of this quadratic.

b=4/5, b=3

b=4, b=-3

b=1/5, b=3

b=4/5, b=-3

2.

Multiple Choice

1 min

12 pts

-2, 4

-8

±8

No real solution

3.

Multiple Choice

30 sec

1 pt

What are the zeros?

x= 0 and x= -4

x= 0 and x= 4

y= 0

x= 2

4.

Multiple Choice

30 sec

1 pt

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

ax + by = c

y = a(x - h)² + k

y = ax² + bx + c

y = mx + b

5.

Multiple Choice

1 min

1 pt

What is another word for zeros?

y-intercepts

roots

vertex

axis of symmetry

6.

Multiple Choice

1 min

1 pt

What are the x-intercept/s of the function?

{x|x = 3}

{x|x =-3,3}

(3, 0)

(-3, 0)&(3, 0)

7.

Multiple Choice

1 min

1 pt

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

True

False, because the solution and root are the same but the x-intercept and zero are different

False, because the x-intercept and root are the same but the zero and solution are different

False, they are all different

8.

Multiple Choice

1 min

12 pts

Solve
4m² - 100 = 0

m=25, -25

m=96

m=5, -5

m=-96

9.

Multiple Choice

1 min

1 pt

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter

a=0, b=5, c=7

a=1, b=5, c=7

a=7, b=5, c=1

10.

Multiple Choice

1 min

1 pt

Solve by factoring:3x² + 5x + 2 = 0

x = -2/3 and x = -1

x = -3/2 and x = -1

x = 2/3 and x = 1

x = 2/3 and x = -1

11.

Multiple Choice

1 min

1 pt

Solve by factoring: 4x² + 11x - 3 = 0

x = -3/4 and x = -1

x = 4 and x = 3

x = 1/4 and x = -3

x = -1/4 and x = 3

12.

Multiple Choice

15 mins

1 pt

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

Set the equation equal to zero

Divide 10 by 2 and add the result to both sides

Add a² and 10a together

Subtract the 21

13.

Multiple Choice

30 sec

1 pt

Solve for x:
(x+6)²=49

x=7,12

x=±7

x=1,-13

x=43,-55

14.

Multiple Choice

1 min

1 pt

3. Solve the equation
4x²- 25 = 0

5/2, -5/2

5/2, 5/2

-5/2, -5/2

-5/2, 5/2

15.

Multiple Choice

1 min

1 pt

Solve by completing the square:
x² + 6x = 55

x = -14, 2

x = 14, -2

x = -5, 11

x = 5, -11

16.

Multiple Choice

1 min

1 pt

Solve
a² + 2a - 24 = 0

a = -6, 4

a = 6, -4

a = 12, -2

a = 8, -3

17.

Multiple Choice

1 min

1 pt

Solve
2x² + 17x + 21 = 0

x= ^-21/₂, -17

x= ²/₃, 16

x=-7, ^-3/₂

x=15, -³/₇

18.

Multiple Choice

1 min

1 pt

What are the roots of the function
f(x)= (x - 2)(x + 3)?

x = - 2 or x = 3

x = 2 or x = -3

The are no real roots

x = 2 or x = 3

19.

Multiple Choice

1 min

1 pt

Solve the following equation by completing the square:
n² = 18n + 40

{11, -11}

{16, 2}

{20, -2}

{10, -4}

20.

Multiple Choice

1 min

1 pt

Solve by completing the square. Round if needed.
x² -4x -5= 0

11 and -7

1 and 3

1.73 and -1.73

5 and -1

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