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Alg. 2 Rev. Spring

Total questions: 60

Worksheet time: 2hrs 4mins

Name
Class
Date
1.
Evaluate 24 - 4t for t = 4
a)
20
b)
24
c)
8
d)
6
2.
Write a expression for the phrase "18 times the number m"
a)
18 + m
b)
18 - m
c)
18m
d)
18 ÷ m
3.
Write a phrase for 18 ÷ a
a)
the quotient of 18 and a
b)
the product of 18 and a
c)
the quotient of a and 18
d)
the difference of 18 and a
4.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
5.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
6.
Choose the phrase that matches the expression   21h
a)
21 more friends than expected at the party
b)
21 more horses in the pasture
c)
21 dollars per hour
d)
21 balloons were popped at the party
7.

Simply the expression. State the restricted values.

a)
b)
c)
d)

Restricted values: 4, 10

e)

Restricted values: -4, -10

8.

Simply the expression. State the restricted values.

a)
b)
c)
d)

Restricted values: 5, -5

e)

Restricted values: 0, 5

9.

Simplify.

7x + 4 -2x+3

a)

5x+7

b)

9x+7

c)

10x-2

d)

5+7x

10.

Simplify

8z -6 -10z+8

a)

18z+2

b)

2z+14

c)

-2z+2

d)

-2z-14

11.

Distribute

3(y+2)

a)

3y+5

b)

3-6y

c)

3y-6

d)

3y+6

12.

Distribute.

-3(-5x+1)

a)

15x-3

b)

-15x-3

c)

15x-2

d)

-15x-2

13.

Factor 12x - 20

a)

6(2x - 3)

b)

4(3x - 5)

c)

4x(3x - 5)

d)

3(4x + 6)

14.

Factor in simplest form: 6x + 12

a)

3(2x + 4)

b)

6(x+2)

c)

6x(x+2)

d)

1/2 (3x + 24)

15.

Factor completely: 6x + -3

a)

3(2x + -1)

b)

-2 + -1 + 6 + x

c)

6( -2 + x )

d)

3 ( 1 + 2x)

16.

Factor completely: 16 + 24x

a)

8 ( 2 + 3x)

b)

4 ( 4 + 7x)

c)

8 ( 2 - 3x)

d)

6 ( 4x + 3)

17.
Ms. Carmean simplified the expression 3(2x-4) to 6x-4. Is she correct? 
a)
Yes
b)
No
18.
Factor:
14x + 20
a)
2(7x + 10)
b)
4(2x + 5)
19.
Factor
10 + 15x
a)
5(2 + 3x)
b)
2(5 + 10x)
20.

Write in standard form: 3h - 2(1 +4h)

a)

-5h + 2

b)

11h - 2

c)

12h - 2

d)

-5h - 2

21.
Factor:  x2 + 13x + 30
a)
(x + 3)(x + 10)
b)
(x + 5)(x + 6)
c)
(x + 2)(x + 15)
d)
(x + 1)(x + 30)
22.
Factor:  x2 - 2x - 24
a)
(x + 6)(x - 4)
b)
(x + 4)(x - 6)
c)
(x - 4)(x - 6))
d)
(x - 3)(x + 8)
23.
Factor:  x2 - 16x + 24
a)
(x + 2)(x - 14)
b)
(x - 2)(x - 14)
c)
(x + 14)(x - 2)
d)
(x - 4)(x - 6)
24.

Which ones are polynomials? (You may select more than one.)

a)
b)
c)
d)
25.

Fill in the blank. The __________ is the highest exponent of a variable when a polynomial is in standard form.

a)

coefficient

b)

degree

c)

monomial

d)

term

26.

What is the degree of this polynomial?

a)

5

b)

2

c)

-1

27.

Combine like terms (to put the polynomial in standard form).

a)

2x2 + 6x

b)

x2 + 8x

c)

2x4 + 6x

d)

3x2 + 6x

28.

What is the degree of this polynomial? REMEMBER: The polynomial must be in STANDARD FORM.

a)

10

b)

9

c)

7

d)

2

29.
What is the degree classification of this polynomial?
x²+4x-8
a)
binomial
b)
trinomial
c)
quadratic
d)
cubic
30.
Which is an example of a linear polynomial?
a)
x²-5
b)
6x+4
c)
5x⁵
d)
2x³-9x²
31.
What is the term classification of the following polynomial?
x³-7x²+3
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
32.
Which is an example of a cubic binomial?
a)
x³+5
b)
x²+3
c)
x²+5x-6
d)
5x³
33.
Subtract the following polynomials:
(3x²-3x+2)-(x²-2x+1)
a)
2x²+x+1
b)
2x²-5x+3
c)
2x²-x+1
d)
4x²-5x+3
34.

Find the degree of the polynomial.

a)

27

b)

12

c)

13

d)

28

35.

Write the polynomial in Standard Form.

a)

10t5 - 8t2 + 3t

b)

10t5 + 8t2 + 3t

c)

10t5 - 8t2 - 3t

d)

3t + 10t5 - 8t2

36.
What does the prefix MONO- mean?
a)
One
b)
Two
c)
Three
d)
Many
37.
What does the prefix BI- mean?
a)
Single
b)
Two
c)
Life
d)
Hello
38.
Classify this polynomial by its degree and number of terms:  x2 + 2x3 + 6
a)
Cubic polynomial
b)
Quadratic binomial
c)
Quadratic trinomial
d)
Cubic trinomial
39.
TRICK QUESTION:  Classify this polynomial by its degree and number of terms:  4xy + 3x - xy
a)
Linear trinomial
b)
Quadratic trinomial
c)
Linear polynomial
d)
Quadratic binomial
40.
Classify the polynomial by the number of terms.
  9x5 + 15x3 + 2x2
a)
monomial
b)
binomial
c)
trinomial
d)
Oh-nomial
41.
What degree does the function have?
  f(x) = -2x3 + 7x
a)
even
b)
odd
42.
What kind of leading coefficient does the function have?
  f(x) = -x3 + 7x
a)
positive
b)
negative
43.
What degree does the function have?
 f(x) = 8x5 - 9x4 + 7x2
a)
odd
b)
even
44.

How would you write y = 2x - 3 in function notation?

a)

y = 2x-3

b)

f = 2x - 3

c)

f(x) = 2x-3

45.

How do you read f(x)?

a)

f x

b)

f of x

c)

f parenthesis x

d)

f with an x inside parenthesis

46.

If a question asks you to find f(2), what does that mean?

a)

Let x = 2

b)

Let y = 2

47.

If f(x) = 2x + 1, what would be your first step to find f(1)?

a)

Plug a 1 in for all the x's

b)

Set the function equal to 1

c)

Only plug a 1 into the left side

d)

Only plug a 1 into the right side

48.

If f(x) = -3x - 8, find f(-1).

a)

f(-1) = 5

b)

f(-1) = -5

c)

f(-1) = -12

d)

f(-1) = -10

49.

If I know that f(2) = 4, what is another way I can write my answer?

a)

2,4

b)

(2, 4)

c)

That is the only way to write it.

50.

If f(x) = 6x - 9, find f(4).

a)

(4, 1)

b)

(4, 33)

c)

(4, 15)

d)

(4, -7)

51.

Find f(10) if f(x)= 10x - 100.

a)

f(10) = 200

b)

f(10) = 0

c)

f(10) = -100

d)

f(10) = -99

52.
When I want to find the maximum or minimum height of an object, I should_____.
a)
Set the equation = 0 and solve.
b)
Use x = (-b/2a) as my answer.
c)
Substitute x = 0 into the equation.
d)
Find the y-coordinate for the vertex.
53.
If I want to find out when an object hits the ground, I should _________.
a)
Use x = (-b/2a) as my answer.
b)
Set my equation = 0 and solve.
c)
Replace x with 0 and evaluate.
d)
Find the y-coordinate of the vertex.
54.
Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec.  This can be modeled with the function h(t) = -16t2 + 96t.  What is the maximum height?
a)
145 feet
b)
160 feet
c)
130 feet
d)
135 feet
55.
Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec.  This can be modeled with the function h(t) = -16t2 + 96t.  When does the maximum height occur?
a)
6 seconds
b)
3 seconds
c)
145 seconds
d)
160 seconds
56.
Superman kicks a ball into the air.  The path can be found using the equation d(t) = -16t2+ 48x, how long is the ball above 30 feet?
a)
1 seconds
b)
5 seconds
c)
4 seconds
d)
6 seconds
57.
Simplify
(4x3 -3x2 + 6x - 4) - (-2x3 + x2 -20)
a)
4x2 - 6x3 - 2x + 6
b)
3x + 5x2 + 1
c)
6X3 -4X2 + 6X -2
d)
3x + 2
58.
Simplify
(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)
a)
4x3 + 1x2 – 3x + 1
b)
2x3 + 1x2 - 5x + 9
c)
6x3 + 1x - 1x2 - 3
d)
3x5 +1x - 1x5 - 3x
59.
Simplify
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
60.
Simplify
(a3-8a+8a2)-(5a+5a2+5a3-2a4)
a)
2a4-4a3+3a2-13a
b)
7a4-4a3+3a2-13a
c)
7a4+4a3+3a2-13a
d)
2a4+4a3-3a2-13a

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