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Test 6: Quadratics (part 2) REVIEW

Total questions: 75

Worksheet time: 5hrs 25mins

Name
Class
Date
1.
Classify the following polynomial
a)
quartic polynomial
b)
quadratic polynomial
c)
quartic trinomial
d)
quadratic trinomial
2.
Classify the following polynomial
a)
Quintic Polynomial
b)
Quartic Polynomial
c)
polynomial
3.
Classify the following polynomial
a)
binomial polynomial
b)
quadratic binomial
c)
quartic binomial
4.
Classify the polynomial:
3x2 – 8x + 1
a)
quadratic trinomial
b)
cubic trinomial
c)
quadratic binomial
d)
cubic binomial 
5.
______________________________ arranges the terms by degree in descending numerical order.
a)
degree of polynomial
b)
polynomial 
c)
terms
d)
standard form of polynomial
6.
Is this expression in Standard Form?
6w2 - 9w3
a)
Yes
b)
No
7.
What is the degree?
 - 3x3 - x2 - 10x + 12
a)
1
b)
2
c)
3
d)
4
8.

Describe the expression 2x2+3x2x^2+3x   by its number of terms.

a)

monomial

b)

binomial

c)

trinomial

d)

multinomial

(4 terms and above)

e)

Not a polynomial

9.

Describe the expression 5y3+4y5y^3+4y   by its number of terms.

a)

monomial

b)

binomial

c)

trinomial

d)

multinomial

(4 terms and above)

e)

Not a polynomial

10.

If the expression 5y3+4y5y^3+4y  is a polynomial, what is its degree?

a)

2

b)

1

c)

0

d)

Not a polynomial

e)

3

11.

If the expression x−2+5x−1+4x^{-2}+5x^{-1}+4  is a polynomial, what is its degree?

a)

3

b)

0

c)

1

d)

Not a polynomial

e)

2

12.

If the expression 16n+12n3+13n2\frac{1}{6}n+\frac{1}{2}n^3+\frac{1}{3}n^2  is a polynomial, what is its degree?

a)

1

b)

2

c)

3

d)

Not a polynomial

e)

0

13.
Classify by degree of polynomial:
3x3 – 6x
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
14.
Classify by degree of polynomial:
2x – 9
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
15.
The following polynomial is written in standard form:
7x3 - 11x2 + 8x - 5
a)
True
b)
False
16.
The largest exponent which is shown in a polynomial.
a)
exponent
b)
cubic
c)
degree
d)
linear
17.
What is the value of the constant?
2x² + 4x − 5
a)
2
b)
4
c)
5
d)
−5
18.
Find the product:
(3x + 2)(2x + 4)
a)
6x2 + 16x + 8
b)
5x2 +11x + 6
c)
5x2 + 16x + 6
d)
6x2 + 11x + 8
19.
Multiply:
(3x – 1)(x + 5) 
a)
3x2 + 4x + 5
b)
3x2 + 4x - 5
c)
3x2 + 14x + 5
d)
3x2 + 14x - 5
20.
 Multiply:     (r + 7)(r − 7) 
a)
r 2 − 49 
b)
r 2 + 14
c)
r 2 − 7r + 49 
21.
a)
A
b)
B
c)
C
d)
D
22.

Write the expanded (general) form of the product (x+3)(x+6).

a)

x2+18x+9

b)

x2+9x+18

c)

x2+18x+18

23.

Multiply binomials using box method

a)

2x3 -4x +3

b)

2x + 5x -3

c)

2x2 -5x -3

d)

2x -6x + 2

24.

Which of the following is the correct set up for the Box Method when multiply (x + 3) (2x - 4) (click on the question to see the image in the background)

a)

A

b)

B

c)

C

d)

D

25.

Which of the following is the correct box method set-up to solve (x+2)(x+3)=\left(x+2\right)\left(x+3\right)=  ?

a)
b)
c)
d)
26.

Multiply binomials using box method (2x +1) (x - 3).

a)

2x3 -4x +3

b)

2x + 5x -3

c)

2x2 -5x -3

d)

2x -6x + 2

27.

What method is this?

a)

Distributive Method

b)

FOIL Method

c)

Multiplication Method

d)

Box Method

28.

What term should go in the blue box?




a)

21x^2

b)

21x

c)

10x^2

d)

10x

29.

What does it mean for two terms to be considered "like terms"

a)

They have the same number

b)

They have the same variable

c)

They have the same variable/exponent combination

d)

They have the same sign

30.

Which of the following could be the correct set up for the Box Method when multiply (x + 3) (2x - 4) (click on the question to see the image in the background...yes we usually use the right side)

a)

A

b)

B

c)

C

d)

D

31.
What does FOIL stand for?
a)
Flogging Outlawed in London
b)
Fans On in Landing
c)
First Outside Inside Last
d)
Fishing Only in Lakes
32.

When multiplying binomials using FOIL, what does each letter represent?

a)

First, Outer, Inner, Last

b)

Fresh, Old, Izzy, Last

c)

First, Old, Icky, Last

d)

Fly, Outer, Inner, Lazy

33.

Kate multiplied two binomials using the distributive property. She made a mistake in one of the steps. Where did she first make a mistake?

a)

Step 1

b)

Step 2

c)

Step 3

d)

Step 4

34.
Find the product:
(x + 7)2
a)
x2 + 7x + 7x + 49
b)
x2 + 7x + 7
c)
7x2 + x + 7
d)
x2 + 14x + 49
35.

1)Factor: x2 + 6x + 8

a)

(x + 4)(x + 3)

b)

(x + 2)(x + 3)

c)

(x + 4)(x + 2)

d)

(x + 5)(x + 1)

36.
Factor
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
37.
Factor
k2 - 2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
38.

Select one of the factors of the quadratic expression.

x2 + 5x - 14

a)

(x + 14)

b)

(x + 2)

c)

(x + 7)

d)

(x - 3)

39.

Which binomial is a factor of the polynomial?

3x2 + 7x + 2

a)

(x - 1)

b)

(x - 2)

c)

(x + 6)

d)

(3x + 1)

40.

Factor the polynomial completely.

6x2 - 3x + 2

a)

(3x + 2)(2x + 1)

b)

(2x - 2)(3x - 1)

c)

(3x - 2)(2x - 1)

d)

cannot be factored.

41.

Factor the expression: 21z2 - 70z + 49

a)

7(3z - 7)(z - 1)

b)

7(3z + 7)(z + 1)

c)

7(3z - 7)(z + 1)

d)

7(3z + 7)(z - 1)

42.

Factor the expression: -2h2 + 4h + 70

a)

-2(h + 7)(h + 5)

b)

-2(h - 7)(h - 5)

c)

-2(h + 7)(h - 5)

d)

-2(h - 7)(h + 5)

43.

Factor the expression: 10v2 + 11v - 8

a)

(5v + 8)(2v + 1)

b)

(v + 8)(v - 1)

c)

(5v + 8)(2v - 1)

d)

(10v - 8)(v + 1)

44.
Factor the Trinomial:
x2 - 8x + 15
a)
(x + 5) ( x + 3)
b)
(x - 5) (x - 3)
c)
(x + 15) (x - 1)
d)
(x - 7) (x - 8)
45.
Solve by factoring: x2 - 9x + 20 = 0
a)
x = -4 and x = -5
b)
x = 20 and x = -9
c)
x = 4 and x = 5
d)
x = -4 and x = 5
46.
What is another word that describes the zeroes of a quadratic function?  
a)
y-intercepts
b)
vertex
c)
x-intercepts
d)
maximum
47.
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
48.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

49.

Solve the following quadratic equation...


x2 + 13x + 36= 0

a)

x = -2

x = -18

b)

x = -9

x = -4

c)

x = -3

x = -12

d)

x = -6

x = -6

50.
ax2+bx+c=0  is the standard form of a quadratic equation.
a)
True
b)
False
51.

Factor the following equation:

x2−3x−4=0x^2-3x-4=0  

a)

(x-2) (x+2) = 0

b)

(x-2)(x-2) = 0

c)

(x+4)(x-1) = 0

d)

(x-4)(x+1) = 0

52.

Factor out the GCF for the following equation:

x2−2x=0x^2-2x=0  

a)

x (x - 2)

b)

x (x - 1)

c)

2(x- x)

d)

x

53.
Solve
x2 + 9x + 20 = 0
a)
x = -2, x = -10
b)
x = -3, x = -4
c)
x = -4, x = -5
d)
x = -4, x = -6
54.
Solve:
x2 - 49 = 0
a)
x = -7, x = 7
b)
x = -7
c)
x = 7
d)
x = -7, x = 1
55.
Solve
 2x² - 3x - 2 = 0
a)
x = 1, x = -1
b)
x = -1/2, x = 2
c)
x = 1/2, x = 2
d)
x = 1/2, x = 1
56.
x2 + 15x + 44 = 0
a)
{-8, 2}
b)
{-7, 5}
c)
{-11, -4}
d)
{-11}
57.

Find all the solutions for x.

SHOW ALL WORK ON PAPER!

x2−36=−9xx^2-36=-9x  



a)

(x + 12)(x - 3)

b)

x = 12 and x = -3

c)

x = -12 and x = 3

d)

(x - 9)(x - 4)

58.

Solve x2−25=0x^2-25=0  

a)

5 and -5

b)

5

c)

-5

d)

no solution

59.

r(r+7)=0r\left(r+7\right)=0  

a)

r=0, r=−7r=0,\ r=-7  

b)

r=0, r=7r=0,\ r=7  

c)

r=−7r=-7  

d)

r=7r=7  

60.
What is the name of this property?
a)
Zero Exponent Property
b)
Zero Product Property
c)
Commutative Property
d)
Zero Sum Property
61.
What should you do first in solving this equation?
x2 + 6x - 13 = 3
a)
Get factored form
b)
Write down: a=1, b=6, c=-13
c)
Make it equal 0 by subtracting 3 on each side
d)
Type it all in a calculator.
62.

Solve by factoring. (HINT: Factor GCF 1st)

a)

x = 3, x = -6

b)

x = 0, x = 2

c)

x = 2, x = 3

d)

x = -2, x = 1

63.

Solve by factoring: 2x2 - 5x - 12 = 0

a)

x = -4 and x = -6

b)

x = 4 and x = -3/2

c)

x = 4 and x = 6

d)

x = -4 and x = 3/2

64.

x2 - 14x - 51 = 0

a)

x= 17 and -3

b)

x= -17 and 3

c)

x= -17 and -3

d)

x = 17 and 3

65.

Solve.

3x² + 5x = 12

a)

x = -4/3, x = 3

b)

x = 4/3, x = -3

c)

x = -1, x = 4

d)

x = 1, x = -4

66.

Factor out GCF first if necessary.

What is the factored form of:

2x2−2x−242x^2-2x-24

Move the correct answer to each box. Not all answers will be used.

​ (a)   (x+​ (b)   )(x-​ (c)   )

Choose from the below words
2
3
4
1
6
5
67.

Solve using Factoring.

x2 - 6x + 9 = 0

a)

x = 3, 3

b)

x = -3, -3

c)

x= -4, -2

d)

not factorable

68.

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation

s(t) = –16t2 + 64t + 80

What will be the object's maximum height?

a)

2 ft

b)

80 ft

c)

144 ft

d)

64 ft

69.

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t2 + 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

a)

0.5 seconds

b)

1 second

c)

1.5 seconds

d)

2 seconds

e)

3 seconds

70.

Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation

h = -2t2 + 7t + 4 models the toy's height, h, from the ground at t seconds after he threw it. How high is the toy after 1 second?

a)

2

b)

4

c)

9

d)

10

e)

15

71.

Your cousin hit a golf ball with an initial velocity of 27 feet per second. The equation h = -6t2 + 27t models the golf ball's height in feet t seconds after the ball was hit. How long after being hit did the ball reach maximum height?

a)

1 second

b)

2.25 seconds

c)

3 seconds

d)

4.5 seconds

e)

5 seconds

72.

A toy rocket is launched from the top of a 48-foot hill. The rocket's height, h(x), is modeled by the

equation h(x) = -16x2 + 32x +48 after x seconds. How high was the rocket at 2 seconds?

a)

3

b)

32

c)

48

d)

64

e)

100

73.

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t2 + 8t + 24

How long would it take you to hit the water?

a)

8 seconds

b)

1 second

c)

1.5 seconds

d)

1/4 second

74.
A diver is standing on a platform above the pool. He jumps form the platform with an initi8al upward velocity of 8 ft/s. Use the formula h t = −16 t2 + 8t + 24, where h is his height above the water, t is the time, v is his starting upward velocity, and s is his starting height. How high is the platform?
a)
.25 ft
b)
24 ft
c)
25 ft
d)
8 ft
75.

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?

a)

1.73 seconds

b)

2.24 seconds

c)

2.45 seconds

d)

2.83 seconds

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