Free Printable 11/8/23 Group Quiz for Midterm

1.

Factor completely: 3x²-36x+96

a)

(x-4)(x-8)

b)

3(x-4)(x-8)

c)

3(x+1)(x+32)

d)

3(x-2)(x+16)

2.

Factor Completely.
8x³ - 18x

a)

2x(4x²-9)

b)

(4x²+3)(2x-3)

c)

2x(2x+3)(2x-3)

d)

PRIME

3.

Which of the following is a factor of 3x² - 7x + 2?

a)

x - 1

b)

x - 2

c)

3x - 2

d)

3x + 1

4.

6x²-x-2=0

a)

x= -2/3, 1/2

b)

x= 2/3, -1/2

c)

x= -2/3, -1/2

5.

3x²-48=0

a)

x= 4, 4

b)

x= -4, -4

c)

x= -4, 4

6.

What is the first step in solving
(x + 2)(x - 3) = 0 ?

a)

Plug in zero for x

b)

Solve for x

c)

FOIL

d)

Set each binomial factor equal to zero

7.

Solve by factoring:
x² - 9x = 0

a)

9

b)

0, 9

c)

-9, 0

d)

-9

8.

Factor: x² - 30x + 225

a)

(x + 15)²

b)

(x - 15)²

c)

(x + 25)²

d)

(x - 25)²

9.

4x² - 42x + 110

a)

(2x + 55)²

b)

(2x - 55)²

c)

(2x - 21)²

d)

Not a Perfect Square Trinomial

10.

Solve using the Zero-Product Property.

7x(x − 6) = 0

a)

x =7 and x = −6

b)

x = 0 and x = 6

c)

x = 0 and x = −6

d)

x = 7 and x = 6

11.

Identify the 'a' value: y = 16x² -8x -24

a)

16

b)

8

c)

-8

d)

-24

12.

Identify the 'b' value: y = 16x² -8x -24

a)

16

b)

-8

c)

8

d)

-24

13.

Identify the 'c' value: y = 16x² -8x -24

a)

16

b)

-8

c)

24

d)

-24

14.

Use the quadratic formula to solve 2x² + 2x - 12.

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

15.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

16.

Solve 2x² + 7x - 15 = 0

a)

-3/2 or 5

b)

No Solution

c)

-5 or 3/2

d)

0.7 or 5

17.

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

18.

Solve using the quadratic formula...

9x² = 4 + 7x

a)

b)

c)

No solution

19.

a)

A

b)

B

c)

C

d)

D

20.

a)

A

b)

B

c)

C

d)

D

21.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

22.

Solve using the Quadratic Formula:
x² + 4x + 3 = 0

a)

x = 1 and x = 3

b)

x = 6 and x = -2

c)

x = -1 and x = -3

23.

2x²-x -3=0

a)

x=-3/2 x=1

b)

x= 3/2 x= -1

c)

x= -3/2 x= -1

d)

x= 3/2 x= 1

24.

Solve
2x² + 17x + 21 = 0

a)

x= ^-21/₂, -17

b)

x= ²/₃, 16

c)

x=-7, ^-3/₂

d)

x=15, -³/₇

25.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

26.

What is this formula?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

27.

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

28.

Identify the 'b' value: y = 16x² -8x -24

a)

16

b)

-8

c)

8

d)

-24

29.

$-8x^2-6x-4=1$

Solve using the Quadratic Formula

a)

$\left\{\frac{3-i\sqrt{31}}{8},\frac{3+i\sqrt{31}}{8}\right\}$

b)

$\left\{\frac{-1+\sqrt{6}}{3},\frac{-1-\sqrt{6}}{3}\right\}$

c)

$\left\{-3+\sqrt{14},-3-\sqrt{14}\right\}$

d)

$\left\{\frac{-3-i\sqrt{31}}{8},\frac{-3+i\sqrt{31}}{8}\right\}$

30.

a)

2

b)

4

c)

8

d)

16

31.

Where is the vertex of the following equation:
y=3(x-2)²+5

a)

(2,5)

b)

(-2,5)

c)

(2,-5)

d)

(3,5)

32.

Does the parabola
f(x)=4(x-2)² + 3
open up or down?

a)

up

b)

down

33.

What is the axis of symmetry for the equation: y = ½(x - 4)² - 4?

a)

y = 4

b)

y = - 4

c)

x = 4

d)

x = - 4

34.

What is true for: y = ½(x - 4)² - 4

a)

Opens up with a minimum

b)

Opens down with a maximum

c)

Opens left

d)

Opens right

35.

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

a)

(5, 2); opens up

b)

(5, 2); opens down

c)

(-5, 2); opens up

d)

(-5, 2); opens down

36.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

37.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

38.

What is the vertex?

a)

(5,2)

b)

(2,5)

c)

(-2,5)

d)

(-5,2)

39.

What piece of information does c identify in the following equation?
y=ax²+bx+c

a)

Zeroes

b)

Axis of Symmetry

c)

Direction

d)

y-intercept

40.

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

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

41.

If we have the equation y=ax²+bx+c, how can we can find the x-coordinate of the vertex?

a)

-a

b)

-b/a

c)

b/2a

d)

-b/2a

42.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

43.

Does this parabola have a minimum or maximum and what is its value?

a)

minimum: 2

b)

maximum: 2

c)

minimum: 5

d)

maximum: 5

44.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

45.

What is the axis of symmetry for the following equation? $y=4x^2-8x+9$

a)

x=-8

b)

x=1

c)

x=-1

d)

x=2

46.

The solutions of a quadratic equation are known as the _____.

a)

Vertices

b)

Roots

c)

Squares

d)

Formulas

47.

Does the quadratic y = - x²- 2x + 3 have a max/min vertex, and does the parabola open up/down?

a)

max/ opens down

b)

min/ opens up

c)

max/ opens up

d)

min/ opens down

48.

How do you know if a parabola has a minimum vertex?

a)

When a is positive there is a minimum

b)

When a is negative there is a minimum

c)

When all the numbers in the equation are negative there is a minimum

d)

When all the numbers in the equation are positive there is a minimum

49.

What is the y intercept for the equation:
y = -8x² + 3x - 7

a)

(0, -8)

b)

(0, 3)

c)

(-8, -7)

d)

(0, -7)

50.

How do I find the y-value of the vertex?

a)

factor

b)

x = -b / 2a gives you the y-value of the vertex

c)

find x = -b / 2a and then plug in for x and solve for y.

d)

find -b / 2a and then plug in for y and solve for x.

11/8/23 Group Quiz for Midterm

Total questions: 50

Worksheet time: 13hrs 30mins

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