Free Printable EOC Fundamentals V

Worksheets

EOC Fundamentals V

Total questions: 40

Worksheet time: 2hrs 40mins

Name

Class

Date

What is the green dot on the parabola called?

maximum

minumum

roots

zeros

The axis of symmetry (line of symmetry) of this parabola is...

y=4

y=-4

x=4

x=-4

What is the vertex of the graph?

HINT: Vertex is (x, y)

(-2, 0)

cannot be determined

(2, -1)

(0,-5)

Use the graph to determine the solutions.

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

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

(1,0) and (3,0)

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

x²- 25

HINT: Special Case, notice there is no "b term"

( x + 5 ) ( x - 5 )

( x - 5 ) ( x - 5 )

( x + 5 ) ( x + 5 )

Prime

Factor:

x² + 11x + 24

HINT: What two numbers multiply to give you 24 and ADD to giver you 11?

(x + 6)(x + 4)

(x + 12)(x + 2)

(x - 8)(x - 3)

(x + 8)(x + 3)

Factor:

x² - 10x + 24

HINT: What two numbers multiply to give you 24 and ADD to giver you -10?

(x - 6)(x - 4)

(x + 6)(x + 4)

(x - 12)(x + 2)

(x - 8)(x - 3)

Factor:

x² + 2x - 24

HINT: What two numbers multiply to give you -24 and ADD to giver you 2?

(x - 6)(x + 4)

(x + 6)(x + 4)

(x - 6)(x - 4)

(x + 6)(x - 4)

p² − 5p − 14

HINT: What two numbers multiply to give you -14 and ADD to giver you -5?

( p + 2)( p + 7)

( p + 2)( p − 7)

( p - 2)( p − 7)

( p - 2)( p + 7)

10.

What are the Zeros? (Need to factor it first)...

t² - 6t + 8

HINT: What two numbers multiply to give you 8 and ADD to give you -6. Then take the opposites or your Binomials.

(t - 4)(t - 6)

t = 2 & t = 4

t = - 2 & t = - 4

(t - 2)(t - 4)

11.

Which of the following equations best represents the graph? HINT: Take the opposite of what's inside the () for the Zeros/Solutions to match the graph.

y = (x -1)(x - 3)

y = (x + 1)(x + 3)

y = -3

12.

Use the graph to determine the solutions.

x = -1 and x = -3

x = 1 and x = -3

x = 1 and x = 3

x = -1 and x = 3

13.

What is the domain of the function?

Hint: DOMIAIN is your x's VAULES

0 < h < 80

0 ≤ h ≤ 80

0 ≤ t ≤ 4.5

0 < t < 4.5

14.

Factor

x²+ 12x + 35

HINT W2#G: Multiply to give you 35 ADD to give you 12

(x+5)(x+7)

(x+4)(x+3)

(x+7)(x-5)

Prime

15.

Factor

x² + 5x + 4

HINT W2#G: Multiply to give you 4 ADD to give you 5

(x + 4)(x + 1)

(x + 2)(x + 2)

(x + 4)(x - 1)

(x + 5)(x + 1)

16.

What are the Zeros?

x² + 11x + 24

HINT W2#G: Multiply to give you 24 ADD to give you 11

x = -8 & x = -3

x = 8 & x = 3

(x + 8)(x + 3)

(x - 8)(x + 3)

17.

Factor

x² - 9x + 20

HINT W2#G: Multiply to give you 20 ADD to give you -9

(x - 10)(x - 2)

(x - 20)(x - 1)

(x - 10)(x + 2)

(x - 5)(x - 4)

18.

What are the Zeros?

x²+ 3x + 2

HINT W2#G: Multiply to give you 2 ADD to give you 3

(x + 2)(x + 1)

x = -2 & x = -1

x = 2 & x = 1

19.

Factor:

x² - 2x - 15

HINT W2#G: Multiply to give you -15 ADD to give you -2

(x - 5)(x + 3)

(x + 3)(x - 5)

(x - 3)(x - 5)

(x - 15)(x - 2)

20.

What are the Solutions?

x² + 7x + 6

HINT W2#G: Multiply to give you 6 ADD to give you 7

(x + 6) (x + 1)

x = -6 & x = -1

x = 6 & x = 1

(x - 6) ( x -1)

21.

Factor:

f(x) = x² - 4x + 3

HINT W2#G: Multiply to give you 3 ADD to give you -4

(x - 1)(x - 3)

(x - 1)(x + 3)

(x - 4)(x + 1)

(x - 4)(x - 1)

22.

Solve for the Zeros/Solutions:

(2x + 3)(x + 6) = 0

Hint: Use the Zero Product Property

$x\ =\ -\frac{3}{2}\ \&\ \ x\ =\ -6$

$x\ =\ -\frac{2}{3}\ \&\ x\ =\ -6$

$x\ =\ \frac{3}{2}\ \&\ x\ =\ 6$

23.

Factor

x² - 11x + 30

HINT W2#G: Multiply to give you 30 ADD to give you -11

(x + 5)(x + 6)

(x - 5)(x - 6)

(x - 10)(x + 3)

(x - 10)(x - 1)

24.

What are the Zeros/Solutions.

x² - 9x + 20

HINT W2#G: Multiply to give you 20 ADD to give you -9

x = 10 & x = 2

x = -4 & x = -5

x = 5 & x = 4

25.

Factor:

x²- 16

Hint W2#G: Multiply to give you -16 ADD to give you 0

Prime

( x - 4) ( x + 4)

( x - 8) ( x + 8)

( x - 4) ( x - 4)

26.

Solve for "x" using Inverse Operations.

Hint: the opposite of squaring something is TAKE THE SQUARE ROOT

x = 49 & x = 49

x = 8 & x = -8

x = 7 & x = -7

27.

Solve using square roots and Inverse Operations.

Hint: the opposite of squaring something is TAKE THE SQUARE ROOT

±81

±9

±3

No real solution

28.

Solve for "x" using Inverse Operations.

Hint: the opposite of squaring something is TAKE THE SQUARE ROOT

x² - 16 = 0

± 4

± 8

29.

Find the product:

(y - 3)(y + 7)

REMEMBER to ADD your exponents when multiplying.

y² - 21

y² + 10x - 21

y² + 4y - 21

30.

Find the product:

(3x + 2)(2x + 4)

REMEBER to ADD your exponents when Multiplying

6x² + 16x + 8

5x² +11x + 6

6x² + 11x + 8

31.

(5x+2)(x²-3x+6)

5x³- 17x²+24x +12

5x³+ 17x² - 24x +12

5x³ - 13x² + 24x +12

5x³ +13x² - 24x - 12

32.

Factor:
x² - 10x + 24

(x - 6)(x - 4)

(x + 6)(x + 4)

(x - 12)(x + 2)

(x - 8)(x - 3)

33.

Factor:
x² + 2x - 24

(x - 6)(x + 4)

(x + 6)(x + 4)

(x - 6)(x - 4)

(x + 6)(x - 4)

34.

p² − 5p − 14

( p + 2)( p + 7)

( p + 2)( p − 7)

( p - 2)( p − 7)

( p - 2)( p + 7)

35.

Solve for "x" using square roots. (Hint: Use inverse operations, what ever you do to ones side you do to the....OTHER)

$x^2\ =\ 225$

± 10

± 11

± 15

x = 15

36.

{12.88,-12.88}

{13.22,-13.22}

{16}

No Solution

37.

Solve x²- 9x + 8 = 0by factoring.

x = 8 and 1

x = -8 and 1

x = 8 and -1

x = -8 and -1

38.

Which of the following Operations are Polynomials NOT CLOSED under?

Addition

Subtraction

Multiplication

Division

39.

Which of the following equations best represents the graph? HINT: Take the opposite of what's inside the () for the Zeros/Solutions to match the graph.

y = (x - 1)(x + 5)

y = (x + 1)(x - 5)

y = -2

40.

What are the zeros of the function p(x)? SELECT ALL THAT APPLY.

f(x) = x(x - 4)(x + 5)

HINT: How many x's are there???

x = 0

x = - 5

x = 4

x = - 4

x = 5

100 %

EOC Fundamentals V

Total questions: 40

Worksheet time: 2hrs 40mins

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