Free Printable G11Reg-EOT 1- Revision

1.

What axis is the image reflected over?

a)

X-axis

b)

Y-axis

2.

What are the coordinate points for point A?

a)

(7, 2)

b)

(2, 7)

c)

(2, 6)

3.

What are the coordinate points for point E?

a)

(2, 0)

b)

(0, 2)

c)

(2, 2)

4.

What would be the coordinates of point K if it was reflected over the Y-axis?

a)

(-5, 2)

b)

(5, 2)

c)

(5, -2)

5.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

6.

Find K' if the figure is reflected across the x-axis

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

7.

Translate the pink shape to the blue shape...

a)

5 Right

2 Down

b)

5 Left

2 Up

c)

3 Right

1 Down

d)

3 Left

1 Up

8.

Translate shape A to shape B...

a)

3 Right

5 Up

b)

3 Left

5 Down

c)

2 Left

4 Up

d)

2 Right

4 Down

9.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

(x - 9 , y + 2)

b)

(x + 2, y - 9)

c)

(x - 2, y + 5)

d)

(x - 2, y + 9)

10.

How is trapezoid ABCD translated to trapezoid A'B'C'D'? Select all that apply.

a)

Translation: (x, y) --> (x - 8, y + 5)

b)

Translated 5 units down and 1 unit right

c)

Translated 8 units down and 5 units right

d)

Translated 5 units down and 5 units right

e)

Translation: (x, y) --> (x + 5, y - 8)

11.

How would you translate point P to P'? Select all that apply.

a)

Translate 2 units to the right and 8 units down

b)

Translate 4 units down and 2 units to the right

c)

Translation: (x, y) --> (x - 8, y + 2)

d)

Translation: (x, y) --> (x + 2, y - 8)

e)

Translation: (x, y) --> (x + 8, y - 2)

12.

Describe the given translation:

(x, y) ----> (x + 2, y - 3)

a)

slide up 2 units and left 3 units

b)

slide right 2 units and up 3 units

c)

slide right 2 units and down 3 units

d)

slide left 3 units and right 2 units

13.

Point M (-3, 5) is translated using this rule.

(x, y) ----> (x - 1, y)

What are the coordinates of M'?

a)

(-4, 5)

b)

(-2, 5)

c)

(-4, 4)

d)

(-3, 4)

14.

What is the image of (-9, 3) after it is translated 4 units down and 3 units right?

a)

(-6, -1)

b)

(-13, 6)

c)

(-5, 6)

d)

(-6, 7)

15.

What does a translation do to a figure on the coordinate plane?

a)

Rotates it

b)

Flips it

c)

Shrinks it

d)

Slides it

16.

What is the arrow notation for a translation 2 units right and 5 units up?

a)

(x, y) --> (x - 2, y - 5)

b)

(x, y) --> (x + 2, y + 5)

c)

(x, y) --> (x + 5, y + 2)

d)

(x, y) --> (5x, 2y)

17.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

18.

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, 5)

c)

(-5, 3)

d)

(-3, 3)

19.

If you were to rotate ABCD 180° about the origin, what would the coordinates of B' be?

a)

(0, 0)

b)

(-6, -5)

c)

(-1, 3)

d)

(-6, 2)

20.

What is the angle of rotation for this counterclockwise rotation about the origin?

a)

90°

b)

180°

c)

270°

d)

360°

21.

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

a)

(-4,-3)

b)

(-4,3)

c)

(4,-3)

d)

(3,4)

22.

Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.

a)

(-8,5)

b)

(8,-5)

c)

(8,5)

d)

(5,-8)

23.

Rotate the point (7,8) around the origin 90 degrees counterclockwise.
State the image of the point.

a)

(-7,-8)

b)

(8,-7)

c)

(-8,7)

d)

(8,7)

24.

Rotate the point (-3,-4) around the origin 180 degrees clockwise. State the image of the point.

a)

(-4,-3)

b)

(-4,3)

c)

(4,-3)

d)

(3,4)

25.

a)

is symmetrical

b)

not symmetrical

26.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

4

d)

6

27.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

3

d)

4

28.

How many lines of symmetry does this shape have?

a)

2

b)

4

c)

6

d)

8

29.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

30.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

31.

What are the angles of rotation for a rectangle?

a)

multiples of 45

b)

multiples of 90

c)

multiples of 180

d)

360

32.

What is one of the angles of rotation needed to rotate this octagon onto itself?

a)

60

b)

135

c)

120

d)

240

33.

What are the angles of rotation for a trapezoid?

a)

multiples of 90

b)

multiples of 180

c)

multiples of 270

d)

360

34.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

4

d)

6

35.

A triangle is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?

a)

(x, y)→(y, -x)

b)

(x, y)→(x, y)

c)

(x, y)→(-y, x)

d)

(x, y)→(-x, -y)

36.

Rotate the point (5, 5) around the origin 180 degrees counterclockwise. State the image of the point.

a)

(5, -5)

b)

(5, 5)

c)

(-5, 5)

d)

(-5, -5)

37.

What will be the coordinates of the image of ABC after it is rotated 180 degrees clockwise about the origin?

a)

(-4, -3), (-1, 0), (-2, -5)

b)

(3, -4), (0, -1), (5, -2)

c)

(-3, 4), (0, 1), (-5, 2)

d)

(4, 3), (1, 0), (2, 5)

38.

The red triangle represents what type of rotation:

a)

180° Clockwise

b)

90° Counter Clockwise

c)

90° Clockwise (-90)

d)

270° Counter Clockwise

39.

Solve the equation by graph: $y=x^2-3x+2$

a)

-1 and -2

b)

No Solution

c)

2

d)

1 and 2

40.

Solve the equation by graphing: $-x^2-7x=6$

a)

$x=1\ and\ x=6$

b)

$x=-6$

c)

$x=-6\ and\ x=-1$

d)

No Solutions

41.

Determine the solutions of the graph:

a)

No Solutions

b)

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

c)

Infinity Many Solutions

d)

(-1, 0)

42.

Solve the equations by graphing: $y=-0.5x^2-x-6$

a)

(-2.606,0) and (4.606,0)

b)

No Solution

c)

(-6, 0)

d)

(-1, 0) and (1.2, 0)

43.

Determine how many solutions:

a)

One Solution

b)

Two Solutions

c)

No Solutions

d)

Infinitely Many Solutions

44.

Determine how many roots:

a)

One Solution

b)

Two Solutions

c)

No Solutions

d)

Infinitely Many Solutions

45.

What is another way to say "where a function crosses the x-axis"?

a)

x-intercept

b)

zero

c)

root

d)

all of these.

46.

Which is a zero of the graph?

a)

0

b)

-1

c)

1.5

d)

-3

47.

Which is a zero of the graph?

a)

0

b)

-1

c)

1.5

d)

-3

48.

Which graph has the function $f(x)=-(x+2)^2$ ?

a)

b)

c)

d)

49.

$f\left(x\right)=\left(x+2\right)^2-1$ Which graph has the function equation

a)

b)

c)

d)

50.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

51.

Which method would be most efficient for solving the equation?

a)

factoring

b)

graphing

c)

square roots

d)

quadratic formula

52.

Solve the equation

a)

x = 1; x = -6

b)

x = ⅓, x = -6

c)

x = 6; x = 3

d)

x = 6; x = - ⅓

53.

What is the maximum or minimum value of the quadratic function pictured?

a)

Minimum: y = 1

b)

Maximum: x = -2

c)

Minimum: x = -2

d)

Maximum: y = 2

54.

This table was used to graph a quadratic equation, where are the zeros (solutions)?

*Check ALL that apply

a)

x = -3

b)

x = -2

c)

x = 3

d)

x = 0

55.

What is the vertex of the following function
2x² + 4x - 5

a)

(0, -5)

b)

(-3, 0)

c)

(1, 0)

d)

(-1, -7)

56.

Does the following function have a maximum or a minimum
f(x) = 3x² + 2x - 7

a)

Maximum

b)

Minimum

57.

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

a)

16

b)

8

c)

-8

d)

-24

58.

Which answer choice describes y = -3x² +7x - 2 accurately?

a)

opens up with a maximum

b)

opens up with a minimum

c)

opens down with a maximum

d)

opens down with a minimum

59.

Find the y-intercept y = x² - 6x + 5

a)

(0, 8)

b)

(0, - 6)

c)

(5, 0)

d)

(0, 5)

60.

Which is the vertex of y = x²+ 16x + 71 ?

a)

V(-8, 7)

b)

V(-8, 3)

c)

V(8, 10)

d)

V(16, -2)

61.

What is the y-intercept of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

62.

Where is the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = 3

d)

x = −3

63.

What is the vertex of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

64.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

65.

a)

A

b)

B

c)

C

d)

D

66.

a)

A

b)

B

c)

C

d)

D

67.

a)

A

b)

B

c)

C

d)

D

68.

a)

A

b)

B

c)

C

d)

D

69.

a)

5i

b)

-5i

c)

5+i

d)

-5

70.

What is the complex conjugate of 4-3i?

a)

A. 1/(4-3i)

b)

B. 1/(4+3i)

c)

C. -4 + 3i

d)

D. 4 + 3i

71.

Simplify:
i⁷

a)

i

b)

-i

c)

1

d)

-1

72.

Solve
3x² - 5 = -446

a)

±√-147

b)

7i√3

c)

±7i√3

d)

-7√3

73.

Simplify:
√-108

a)

3i√6

b)

3i√20

c)

6i√3

d)

20i√3

74.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

75.

(3i)(-2+4i)

a)

-6+12i

b)

-12-6i

c)

-2+7i

d)

12+6i

76.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

77.

Simplify
(-6 - 2i)²

a)

32

b)

36-4i

c)

36+24i

d)

32+24i

78.

a)

A.

b)

B.

c)

C.

d)

D.

79.

Simplify:
(10+ 15i)-(48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

80.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

81.

Simplify
3i - (4 + 7i)

a)

-4 + 10i

b)

21 - 12i

c)

4 - 10i

d)

-4 - 4i

82.

Multiply
(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

83.

Multiply:
(4 – 3i)(7 + 2i)

a)

A. 22 - 13i

b)

B. 28 - 19i

c)

C. 34 - 13i

d)

D. -34 - 29i

84.

Simplify

a)

(-10+6i)/17

b)

(1+50i)/61

c)

(-23+36i)/25

d)

(-21+33i)/34

85.

a)

A

b)

B

c)

C

d)

D

86.

Solve by factoring: 2x²+ 7x + 6 = 0

a)

x= 3/2 and x = 2

b)

x = -3/2 and x = -2

c)

x = 6 and x = 7

d)

x = -6 and x = -7

87.

Solve.
n² - 2n = 0

a)

n = 2 and 0

b)

n = -2 and 0

c)

n = 2

d)

n = 0

88.

Solve by factoring

20x² + 100x

a)

x = 0 and -5

b)

x = 5 and 0

c)

x = 0

d)

x = 20 and 4

89.

Solve

(n +7)(n + 9) = 0

a)

n = -7 or n = 4

b)

n = 7 or n = -9

c)

n = -3 or n = 10

d)

n = -7 or n = -9

90.

Complete the Square
x² + 6x = 5

a)

(x + 3)² = 5

b)

(x + 6)² = 9

c)

(x + 3)² = 14

d)

(x + 6)² = 14

91.

What is one of the solutions to this equation?
(2x - 1)² = 49

a)

7

b)

-7

c)

-4

d)

-3

92.

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

a)

11 and -7

b)

1 and 3

c)

1.73 and -1.73

d)

5 and -1

93.

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

a)

4

b)

2

c)

8

d)

20

94.

Write the following quadratic expression in completed square form...

x² + 4x + 10

a)

(x + 4)² + 6

b)

(x + 2)² + 6

c)

(x + 4)² - 6

d)

(x + 2)² - 6

95.

Which equation shows $x^2+8x+9=0$ after the method of completing the square has been applied?

a)

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

b)

$\left(x+4\right)^2=7$

c)

$\left(x+8\right)^2=55$

d)

$x^2=-\left(8x+9\right)$

96.

Solve $4x^2+5x+2=0$ .

a)

$x=\frac{5}{8}\pm\frac{\sqrt{7}}{8}$

b)

$x=-\frac{5}{8}\pm\frac{\sqrt{7}}{8}i$

c)

$x=-\frac{5}{8}\pm\frac{\sqrt{7}}{8}$

d)

$x=\frac{5}{8}\pm\frac{\sqrt{7}}{8}i$

97.

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

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

98.

Solve by the Quadratic Formula:

$9u^2-11u+7=0$

a)

$\frac{-11\pm\sqrt{131}}{18}$

b)

$\frac{11\pm\sqrt{131}}{18}$

c)

$\frac{11\pm\sqrt{131}}{-18}$

d)

$\frac{11\pm i\sqrt{373}}{18}$

99.

Solve by the Quadratic Formula:

$18j^{2\ }+9j\ +16=12+7j^2$

a)

$\frac{-9\pm i\sqrt{95}}{22}$

b)

$\frac{-9\pm\sqrt{95}}{22}$

c)

$\frac{9\pm i\sqrt{95}}{22}$

d)

$\frac{9\pm\sqrt{95}}{22}$

100.

If b²-4ac is positive, the quadratic equation has:

a)

Two real solutions that are different

b)

Two imaginary solutions that are different

c)

One real solution

d)

One imaginary solution

101.

If b²-4ac is negative, the quadratic equation has:

a)

Two real solutions that are different

b)

Two imaginary solutions that are different

c)

One real solution

d)

One imaginary solution

102.

If b²-4ac is 0, the quadratic equation has:

a)

Two real solutions that are different

b)

Two imaginary solutions that are different

c)

One real solution

d)

One imaginary solution

103.

What are the zeros of the function f(x) = x² + 64?

a)

-8 and 8

b)

-8i and 8i

c)

(-√8) i and (√8) i

d)

-√8 and √8

104.

What does the discriminant tell us?

a)

The maximum or minimum

b)

The y-intercept

c)

The number and type of solutions

d)

The axis of symmetry

105.

If the discriminant is negative, you will have....

a)

two real solutions

b)

two irrational solutions

c)

no solution

d)

one solution

106.

For the function below, is the discriminant positive, negative, or zero?

___________

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

107.

How many solutions will this quadratic equation x²+8x+16 has?

a)

2 real solutions

b)

2 imaginary solution

c)

1 solution

d)

3 solutions

108.

Is (2, 3) part of the solution set?
y < 2x²-3x+1

a)

Yes

b)

No

109.

Which inequality is shown?

a)

y< -x²

b)

y≤ -x²

c)

y> -x²

d)

y≥ -x²

110.

Solve:

2x² + 5x ≥ 12

a)

[-4, 1.5]

b)

(−∞, -4) U (1.5, ∞)

c)

(−∞, -4] U [1.5, ∞)

d)

no solution

111.

Which inequality is represented by the graph?

a)

y > (x - 3)² - 3

b)

y ≥ (x + 3)² - 3

c)

y > (x + 3)² - 3

d)

y ≥ (x - 3)² - 3

112.

Which inequality is represented by the graph?

a)

y > -(x - 4)² + 1

b)

y > -(x - 1)² + 4

c)

y < (x - 4)² + 1

d)

y > (x + 4)² + 1

113.

Determine the solution of the given quadratic inequality.

\left(x-4\right)\left(4x-5\right)\ge0

a)

$x\le\frac{5}{4}\ or\ x\ge4$

b)

$\frac{5}{4}\le x\le4$

114.

What is the solution of the quadratic inequality $x^2$ - x $\ge$ 12?

a)

{x / -3 $\ge$ x $\ge$ 4}

b)

{x / -3 $\le$ x $\le$ 4}

c)

{x / x $\le$ -3 U x $\ge$ 4}

d)

{x / x $\le$ 4 U x $\ge$ -3}

115.

Solve the system of equations.
x + 2y = -3
x - y = -12

a)

(-9, 3)

b)

(-7 ,5)

c)

(3, 15)

d)

(9, 6)

116.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

117.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

118.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

119.

a)

A

b)

B

c)

C

d)

D

120.

a)

A

b)

B

c)

C

d)

D

121.

a)

A

b)

B

c)

C

d)

D

122.

a)

A

b)

B

c)

C

d)

D

123.

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

a)

Leading Coefficient Positive
Degree - Even

b)

Leading Coefficient Positive
Degree - Odd

c)

Leading Coefficient Negative
Degree - Even

d)

Leading Coefficient Negative
Degree - Odd

124.

From the functions below, find the LINEAR Function.

a)

$f\left(x\right)=3x-9$

b)

$f\left(x\right)=3x^2-11x+9$

c)

$f\left(x\right)=2x^4-9x^3+11x^2-9x-10$

d)

$f\left(x\right)=x^3-8x^2-10x+9$

125.

Which is NOT a graph of polynomial function?

a)

b)

c)

126.

What is the degree of the polynomial function whose graph appears below?

a)

1

b)

2

c)

3

d)

4

127.

What number, n, cubed is equal to 27?

n^3=27

a)

9

b)

3

c)

-3

d)

-9

128.

Simplify the operation combining exponent operations!

a)

(200a⁸c²)/(b⁷)

b)

(200a⁸c²)/(b¹⁰)

c)

(200ac²)/(b¹⁰)

d)

(200a⁷c)/(b¹⁰)

129.

Classify the polynomial below by degree and number of terms:

a)

Quadratic binomial

b)

Linear and quadratic binomial

c)

Quartic binomial

d)

Quartic duonomial

130.

Classify the polynomial below by degree and number of terms:

a)

20th degree monomial

b)

Quintic Monomial

c)

20th degree polynomial of 5 terms

d)

Quartic Monomial

131.

Let $f\left(x\right)=6x^4-2x^3+x-3\ and\$
$g\left(x\right)=-3x^4+5x^2-10x+7.$
Then, $f\left(x\right)+g\left(x\right)=$

a)

$3x^4-2x^3+5x^2-9x+4$

b)

$3x^4-7x^3-9x+10$

c)

$3x^4-2x^3-5x^2+11x-10$

d)

$9x^4-2x_{ }^3+5x^2-9x+4$

132.

Let $f\left(x\right)=6x^4-2x^3+x-3\ and\$
$g\left(x\right)=-3x^4+5x^2-10x+7.$
Then, $f\left(x\right)-g\left(x\right)=$

a)

$3x^4-2x^3-5x^2+11x-10$

b)

$9x^4-2x^3-5x^2+11x-10$

c)

$9x^4-2x^5+5x^2-9x+4$

d)

$3x^4-2x^3+5x^2-9x+4$

133.

If $f\left(x\right)=5x^2-3\ \ and\$
$g\left(x\right)=-2x^3+3x-1,$
then what is $f\left(x\right)\times g\left(x\right)?$

a)

$-10x^5-5x^2+6x^3+3$

b)

$-10x^5+21x^3-5x^2-9x+3$

c)

$-10x^6+21x^3+5x^2+3$

d)

$-10x^6+15x^3+6x^2-3$

134.

Simplify $\left(x-4\right)^3.$

a)

$x^3+12x^2+48x-64$

b)

$64-48x+12x^2-x^3$

c)

$x^3+12x^2-16x-4$

d)

$x^3-12x^2+48x-64$

135.

Simplify the expression $\left(4x^2+9\right)^2$ using your knowledge of polynomial identities.

a)

$\left(4x^2-9\right)^2+144x^2$

b)

$\left(2x-3\right)^2+12x^2$

c)

$\left(4x^2-9\right)^2+5184x^2$

d)

$\left(2x^2-3\right)^2+144x^2$

136.

Factor by grouping:
5n³-10n²+3n-6

a)

(5n²+3)(n-2)

b)

(5n²-3)(n-2)

c)

(5n³+3)(n-2)

d)

10n(n²-6)

137.

Simplify the expression.
x³(2x²+3x)

a)

2x⁵+3x⁴

b)

2x⁶+3x³

c)

5x⁹

d)

5x

138.

Determine if the polynomial is a perfect square and if it is factor the polynomial?
x² - 12x + 36

a)

Is not a perfect square

b)

Is a perfect square;
(x + 6)²

c)

Is a perfect square;
(x - 12)²

d)

Is a perfect square;
(x - 6)²

139.

Factor by grouping:

3x³-x²+6x-2

a)

(x²+2)(3x+1)

b)

(x²+2)(3x-1)

c)

(3x³+6x)(x²-2)

d)

none of the above

140.

What is the leading coefficient in the polynomial?

7x² + x⁴ - 2 + 22x

a)

7

b)

1

c)

22

d)

2

141.

What is the DEGREE of the polynomial 3x³ + 2x⁴ + 5x ?

a)

5

b)

3

c)

1

d)

4

142.

Fill in the blank: The maximum number of turning points is ____ less than the degree of the polynomial.

a)

3

b)

0

c)

1

d)

-2

143.

What are the roots of the polynomial function? y = (x + 2)(x - 7)³

a)

-2, 7 multiplicity 3

b)

-2, 7, 3

c)

2, -7 Multiplicity

d)

2, -7, 3

144.

Odd Multiplicities have which of the following effects on the x-axis?

a)

Cross the x-axis

b)

Touch the x-axis

145.

For synthetic division what would be the number in the upper left handed box?

a)

0

b)

1

c)

-2

d)

2

146.

Determine if the degree of the polynomial shown is even or odd.

a)

Even

b)

Odd

c)

Not enough information to tell

147.

Determine the end-behavior of the function $f\left(x\right)=-3x^5+4x^4-x^3+5x^2-x+2$ .

a)

b)

c)

d)

148.

Determine the end-behavior of the function $f\left(x\right)=6x^4-5x^3+x^2-3x-7$ .

a)

b)

c)

d)

149.

Determine how many relative maximum points are on the polynomial shown on the graph.

a)

1

b)

2

c)

3

d)

0

150.

How many real zeros does the polynomial shown have?

a)

2

b)

3

c)

4

d)

5

151.

(r⁴)⁶

a)

10r

b)

r¹⁰

c)

24r

d)

r²⁴

152.

Simplify
(3x³y⁵)⁴

a)

3x¹²y²⁰

b)

81x¹²y²⁰

c)

12x¹²y²⁰

d)

81x⁷y⁹

153.

Simplify

a)

\frac{x^{28}y^{12}}{x^2y}

b)

$\frac{x^{28}y^{12}}{x^8y^4}$

c)

$x^{20}y^8$

154.

Expand the expression.
(2x+5)⁴

a)

2x⁴ + 40x³+ 300x² + 1000x +625

b)

16x⁴+ 160x³ +600x² +1000x + 625

c)

16x⁴ + 1000x³ + 600x²+ 160x +625

155.

Which row of Pascal's Triangle would you use to expand (x+y)³?

a)

1

b)

1 1

c)

1 2 1

d)

1 3 3 1

156.

Find the 4th term in the expansion of (4x-3)⁵.

a)

5760

b)

-4320x²

c)

5760x³

d)

-4320

157.

How many terms are the in the expansion of (1+b)⁵

a)

5

b)

6

c)

25

d)

50

e)

3

158.

Select the correct expansion of

(1 - 2y)³

a)

1 + 6y + 12y² + 8y³

b)

1 − 6y + 12y² − 8y³

c)

1 − 3y + 3y² − y³

d)

1 + 3y + 3y² + y³

159.

Choose the right Pascal's triangle

a)

b)

c)

d)

160.

What is the factored form of a function if it has zeros of 2, 3 and -1?

a)

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

b)

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

c)

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

d)

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

161.

Factor Completely:

2n³ + 7n² - 2n - 7

a)

cannot be factored

b)

(n - 1)²(2n + 7)

c)

(n² - 1)(2n + 7)

d)

(n + 1)(n - 1)(2n + 7)

162.

Factor Completely:

k⁴ - 10k² - 39

a)

(k² - 13)(k² + 3)

b)

(k - 13)(k + 3)

c)

(k² + 15)(k² - 3)

d)

(k + 13)(k - 3)

163.

Find all zeros for the polynomial
P(x) = x³ -3x²-5x+15

a)

3, √5

b)

3, √5, -√5

c)

-3, √5, -√5

d)

-3, 5i, -5i

164.

FInd all zeros for the polynomial
f(x) = x⁴+8x²-9

a)

-1, ⅓, ±3i

b)

½, -1, ±3i

c)

1, -1, ±i√11

d)

1, -1, ±3i

165.

What are the zeros for this function?

a)

b)

c)

d)

166.

What are the zeros for this function?

a)

b)

c)

d)

167.

(2x³ + 5x² + 9) ÷ (x + 3)

a)

2x² - x + 3

b)

2x³ - x² + 3x

c)

2x² + 11x + 33 + 108/x+3

d)

2x² - 5x + 12

168.

-2x²+4x+48 ÷ x+4

a)

-2x+12

b)

2x+12

c)

-4x+9

d)

4x+9

169.

Use synthetic division:
(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

170.

Use synthetic division:
(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

171.

Is this division problem worked correctly?

a)

This is correct!

b)

This is incorrect!

172.

a)

This is correct

b)

This is incorrect

173.

What is the remainder when a³ - 4 is divided by a+2?

a)

-2

b)

-6

c)

-12

d)

0

G11Reg-EOT 1- Revision

Total questions: 173

Worksheet time: 10hrs 57mins

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