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Algebra 2 Regents Midterm Review

Total questions: 61

Worksheet time: 8hrs 30mins

Name
Class
Date
1.

What are the zeros of the function f(x) = x2 — 13x — 30?

a)

—10 and 3

b)

10 and —3

c)

—15 and 2

d)

15 and —2

2.

Given f(x) = -4x - 10 and f(x) = 10. Find x

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

3.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

4.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
5.

What are the solutions to the following equation?

a)

X = -3, -5

b)

X = 3, 5

c)

X = 1, 5

d)

X = -1, -5

6.

Find one value of x that is a solution to the given equation.

a)

X = -1/3

b)

X = 1/3

c)

X = 3

d)

X = -3

7.

Which equation has non-real solutions?

a)

3x2 + 4 = -5x

b)

3x2 + 4 = -5(x-4)

c)

3x2 + 4x = 0

d)

3x2 - 4x - 4 = 0

8.
The function f is defined by f(x) = 3x2 + 4x
What is the function defined by f(x - 3)
a)
15
b)
2x - 8
c)
3x2 - 14x +15
d)
3x2 -2x +7
9.

The function f is defined by f(x) = 3x2 + 4x

If my input becomes f(x-3) from f(x), how does my function transform?

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3

10.

What solution(s) does the following equation have?

a)

X = 0

b)

X = -3

c)

X = 3

d)

X = 9

11.

Find the x- and y- intercepts of the line.

x-3y=9

a)

(-9,0), (0,3)

b)

(-3,0), (0,9)

c)

(9,0), (0,-3)

d)

(3, 0), (0,-9)

12.

Describe the transformation of the equation below from the parent function of y = I x I

y = I x - 4 I

a)

Left 4

b)

Right 4

c)

Up 4

d)

Down 4

13.

Describe the transformation of the equation below from the parent function of y = I x I

y = I x + 2 I - 5

a)

Left 2 up 5

b)

Right 2 up 5

c)

Left 2 down 5

d)

Right 2 down 5

14.
What is the degree?
a)
Positive
b)
Negative
c)
Odd
d)
Even
15.
What is the degree?
a)
Positive
b)
Negative
c)
Odd
d)
Even
16.
Which function has this end behavior?
a)
-x2-3x+1
b)
-x3+2x2+3
c)
x4+3x3-4x+1
d)
x5-4x4+2x2-1
17.
Which function has this end behavior?
a)
-1x4-3x3+3
b)
-2x7+2x4+4
c)
3x8+3x5-4x+7
d)
4x5-4x4+2x3-9
18.
Which function has this end behavior?
a)
-1x4-3x3+3
b)
-2x7+2x4+4
c)
3x8+3x5-4x+7
d)
4x5-4x4+2x3-9
19.

Describe the transformations of the graph y = (x - 3)3 -2

a)

Right 3, Down 2

b)

Left 3, Up 2

c)

Right 3, Up 2

d)

Left 3, Down 2

20.

Determine the roots of the polynomial.

f(x) = (x+1)(x-4)(x+2)

a)

1, 4, 2

b)

-1, -4, -2

c)

1, -4, 2

d)

-1, 4, -2

21.

Determine the roots of the polynomial.

f(x) = (x-2)3

a)

-2, -2, -2

b)

2, 2, 2

22.

Determine the roots of the polynomial.

f(x) = 5x(x-1)2

a)

0, 1, 1

b)

5, 1, 1

c)

-5, 1, 1

d)

0, -1, -1

23.

What is the equation in factored form of this graph?

a)

f(x) = (x-4)(x-1)2(x+2)(x+4)

b)

f(x) = (x-4)(x+1)2(x+2)(x+4)

c)

f(x) = (x-4)(x-1)2(x-2)(x+4)

d)

f(x) = (x+4)(x+1)2(x-2)(x-4)

24.

Put the following polynomial in standard form.

-x2 + 5x4 - 10 + x

a)

5x4 - x2 + x - 10

b)

-x2 + 5x4 - 10 + x

c)

10 + 5x2 + x2 + x

d)

- 10 + - x + x2 + 5x4

25.

What is the definition of factor?

a)

To create a factory of multiple numbers

b)

Different pairs of numbers that give the product of the number given

c)

At least 3 numbers multiplied to give the product of the number given

26.

What is an exponent?

a)

A base with an exponent

b)

To indicate how many times that number is multiplied by

c)

A small number for the look without use

27.

What is the small number on the top right beside the base called?

a)

Whole number

b)

Exponent

c)

Small number

28.

Which is the right way to calculate 32?

a)

3*3

b)

3*2

c)

3+2

d)

3-2

e)

3/2

29.

What is a square root?

a)

A number multiplied by itself to create another number

b)

2 numbers divided by each other to equal 1

30.

Can square roots have decimals?

a)

Yes

b)

No

31.

What is the square root sign called?

a)

3/4 rectangle

b)

Radical

c)

Radicand

32.

What is the correct term of the number inside the square root called?

a)

Number

b)

Radicand

c)

Radical

33.

What is the square root of 16?

a)

6

b)

1

c)

8

d)

2

e)

4

34.

√128

a)

64√2

b)

16

c)

2√8

d)

8√2

35.

√243

a)

9

b)

9√3

c)

3√3

d)

81√3

36.

√200

a)

14

b)

20√8

c)

5√3

d)

10√2

37.

Simplify: √31

a)

3√1

b)

already simplified

c)

1√3

d)

15√2 + 1

38.
a)

2i√6

b)

8i√3

c)

-2√6

d)

-2i√6

39.
a)

7

b)

-7

c)

7i

d)

-7i

40.
a)

i

b)

-1

c)

1

d)

-i

41.
a)
b)
c)
d)
42.

x2 + 36 = 0

a)

x = ±6

b)

x = 6i

c)

x = -6

d)

x = ±6i

43.

33 = 18 - 3x2

a)

x = ±5i

b)

x = ±i√5

c)

x = ±√5

d)

x = i√5

44.

y = -(x+7)2-1

What is the axis of symmetry?

a)

x = -1

b)

y = -7

c)

x = -7

d)

x = 1

45.

y = (x+1)2-5

What is the axis of symmetry?

a)

1

b)

x = -1

c)

x = 1

d)

x = 5

46.

y = x2

What is the vertex?

a)

There isn't one.

b)

(0,0)

c)

(-1,0)

47.

y = (x-2)2

If x equals 3, y equals...

a)

1

b)

-1

c)

25

48.
A quadratic equation creates a... 
a)
v-shaped graph 
b)
a straight line
c)
a parabola 
49.
The vertex is... 
a)
The highest point or the lowest point of the parabola 
b)
The imaginary line that divides the parabola in half 
50.
The axis of symmetry is... 
a)
The imaginary line that divides the parabola in half 
b)
The highest point or the lowest point of the parabola 
51.

y = (x+2)2+9

This graph shifts...

a)

Left 2, down 9

b)

Left 2, up 9

c)

Right 2, up 9

d)

Right 2, down 9

52.

Solve for x

a)

6

b)

17/5

c)

19/2

d)

- 6

53.

Solve for v

a)

- 7/6

b)

- 9/5

c)

9/5

d)

-3

54.

Solve for x

a)

5

b)

4/5

c)

1

d)

- 4

55.

Find the solution(s):

y = x2 - 4x + 6

y = x + 2

a)

(1, 4)

b)

(-1, 1) and (4, 2)

c)

(1, 3) and (4, 6)

d)

(1, 4) and (3, 6)

56.

Find the solution(s).

a)

(-1,7) and (0,5)

b)

(-4,2) and (-5,8)

c)

(-2,6) and (10,15)

d)

(-2,4) and (6,12)

57.

Factor completely:

16x2 - 20xy

a)

4 (4x2 - 5xy)

b)

4x (4x - 5y)

c)

4x2 (4 - 5y)

d)

2(duck)

58.

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)

59.

When using factor by grouping, how many terms must we have?

a)

Four or more

b)

Two

c)

Three

d)

Doesn't matter

60.

2x3y8 + 6x4y2 + 10x5y10 what is the GCF?

a)

2x3y2

b)

x3y2

c)

2

d)

-x3y2

61.

For which of the following polynomials is (x+3) a factor?
I.  x3+12x2+47x+60x^3+12x^2+47x+60  
II.  x3−3x2−45x−81x^3-3x^2-45x-81  
III.  x3−x2−14x+24x^3-x^2-14x+24  

a)

I only

b)

II only 

c)

I and II

d)

III only

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