Free Printable TEST- ALG 2

1.

Write the inequality in interval notation.

a)

[-4, -1)

b)

(-4, -1)

c)

(-4, -1]

d)

[-4, -1]

2.

Write the following in interval notation

-7 ≤ x < 8

a)

(-7, 8)

b)

[-7, 8)

c)

[-7, 8]

d)

(-7, 8]

3.

When writing a solution in interval notation, what brackets do i use for:

> or <

a)

[ ]

b)

( )

4.

Write x < 3

using interval notation:

a)

(-∞, 3]

b)

(-∞, 3)

c)

(3, -∞)

d)

[3, -∞)

5.

Identify the function's domain and range.

a)

domain (-∞,∞) and range (-∞,∞)

b)

domain (-∞, ∞) and range (-4,∞)

c)

domain (-∞,∞) and range [-4,∞)

d)

domain [-3, 1] and range [-4,∞)

6.

Where is the function increasing and where is it decreasing?

a)

increasing nowhere and decreasing (-∞,∞)

b)

increasing (-∞,1) and decreasing (1,∞)

c)

increasing (3,∞) and decreasing (-∞,3)

d)

increasing (-1,3) and decreasing nowhere

7.

What are the zeros?

a)

0 and 2

b)

-4 and 0

c)

2 and 3

d)

0 and 4

8.

a)

Function

b)

Not a Function

9.

a)

Function

b)

Not a Function

10.

On what interval is the graph decreasing?

a)

(∞, 3)

b)

(3, -∞)

c)

(3, ∞)

d)

(-∞, 3)

11.

What is the domain of the function?

a)

(-∞,5]

b)

(-∞,5)

c)

(-∞,2]

d)

(-∞,2)

12.

What is the range of the function?

a)

(-∞,5]

b)

(-∞,5)

c)

(-∞,2]

d)

(-∞,2)

13.

Let's call the graph f(x). Find f(5) = ___

a)

25

b)

30

c)

35

d)

40

14.

What do we call the highest or lowest point of a quadratic?

a)

parabola

b)

vertex

c)

graph

d)

point

15.

Does
y = -4x²
have a maximum or minimum value?

a)

maximum

b)

minimum

16.

What is the x-intercept shown on the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 3)

d)

(3, 0)

17.

What is g(7) if:

a)

-17

b)

-13

c)

13

d)

17

18.

How many "pieces" are graphed in this function?

a)

1

b)

2

c)

3

d)

4

19.

What is the value of f(0)?

a)

-2

b)

2

c)

4

d)

0

20.

What is the RANGE of the function?

a)

(-∞, +∞)

b)

(-∞, 4]

c)

(-∞, 4)

d)

[0, 4]

21.

1. What is this type of function called?

a)

Discrete Function

b)

Segment Function

c)

Step Function

d)

Jump Function

22.

Find f(2)

a)

f(2) = 0

b)

f(2) = 1

c)

f(2) = 3

d)

f(2) = 4

23.

What type of function is shown?

a)

absolute value

b)

quadratic

c)

linear

d)

exponential

24.

What type of function is shown?

a)

linear

b)

quadratic

c)

square root

d)

absolute value

25.

What type of function is shown?

a)

exponential

b)

linear

c)

quadratic

d)

square root

26.

Give the name of the parent function of

y=4^x

a)

Exponential

b)

Logarithmic

c)

Absolute Value

d)

Sine

27.

Give the name of the parent function of

y=2\left|x-5\right|

a)

Constant

b)

Logarithmic

c)

Absolute Value

d)

Rational

28.

Sarah makes $30 for each small purse (x) and $50 for each big purse (y). What is the objective quantity?

a)

P = 30x + 50y

b)

P = 50x + 30y

29.

Objective quantity:
P = 30x + 50y
Corner that maximizes profit: (0, 6)
What is the profit?

a)

300

b)

280

c)

400

d)

240

30.

What do you call the area where all the shading overlaps?

a)

the answer

b)

the feasible region

c)

the void

d)

the objective function

31.

Which corner point will maximize the Objective Function $Z\ =\ 5x\ +\ 2y$

a)

(7,4)

b)

(3,10)

c)

(10,1)

d)

(8,5)

32.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

33.

Simplify the following expression:
-6x + 4(-x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

34.

Simplify each expression.
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

a)

11x⁴ + 2x² + 14x

b)

16x⁴ + x² + 14x

c)

11x⁴ + x² + 14x

d)

11x⁴ + 2x² + 10x

35.

Classify by number of terms:
3x² – 8x + 1

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

36.

Classify by degree of polynomial:
2x – 9

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

37.

What is the perimeter for the given rectangle:

a)

6x³ - 9x² + 10x - 15

b)

6x² + 1x - 15

c)

6x² + 4x + 4

d)

6x³ + 1x² - 15x

38.

Divide $\frac{12x^5-4x^3+16x}{4x}$

a)

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

b)

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

c)

$12x^4-48x^3+16x^{ }$

d)

$12x^4-48x^3+16x+\frac{48}{x-4}$

39.

For synthetic division, what would be the number on the left ?(outside of the big L )

a)

-2

b)

1

c)

2

d)

3

40.

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when filling in the numbers inside the big L? (how many missing powers?)

a)

0

b)

2

c)

4

d)

6

41.

The value for A is (a)

42.

The value for B is (a)

43.

The value for C is (a)

44.

What would go in for A?

(a)

45.

What would go in for B?

(a)

46.

What would go in for A?

(a)

47.

Clare picks a marble at random, puts it back, and then picks another marble at random.

a)

Dependent

b)

Independent

48.

P(Pizza|Senior): (simplify)

a)

10/15

b)

4/5

c)

2/3

d)

10/5

49.

You pick a marble from this bag.
What is the probability you will choose either a black or white marble?

a)

3/5

b)

9/100

c)

1/10

d)

2/5

50.

What is the probability of spinning red?

a)

0

b)

5/12

c)

1/2

d)

3/4

51.

How many girls skip breakfast?

a)

16

b)

7

c)

13

d)

2

52.

With permutations order _________ matter.

a)

does

b)

does not

53.

4! means

a)

I love the number 4

b)

4 + 3 + 2 + 1

c)

4 x 3 x 2 x 1

TEST- ALG 2 - BIG REVIEW

Total questions: 53

Worksheet time: 2hrs 46mins

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