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A2 - Midterm Review #2

Total questions: 11

Worksheet time: 18mins

Name
Class
Date
1.

Calculate the average rate of change from 20 to 40 minutes.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

2.

What type of roots does the function have?

a)

Imaginary

b)

Whole Number

c)

Integer

d)

Real

3.

Which quadratic graph has imaginary roots?

a)
b)
c)
d)
4.

What are the transformations of this functions compared to the parent function y = √(x)?

a)

Horizontal right 5, vertical down 2, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch of 2, and horizontal right 5

c)

Reflected over the x-axis, vertical stretch of -2, and horizontal left 5

d)

Horizontal right 5, Vertical down 2

5.

Given the functions below, find the ordered pair that satisfies f(x) = g(x). f(x)=x1+4f\left(x\right)=\sqrt{x-1}+4

g(x)=x3g\left(x\right)=x-3  


a)

(5, 2)

b)

(1, 4)

c)

(0, -3)

d)

(10, 7)

6.
What does i=  ?
a)
1
b)
-1
c)
√-1
d)
√1
7.
6i (-5 + 10i)
a)
-30i + 60i2
b)
30i − 16i2
c)
11i + 60i2
d)
-11i2+ 16i
8.
Calculate (multiply):
 (4 + 3i)(4 − 3i)
a)
16 − 9i2
b)
25
c)
7
d)
8 − 6i
9.
Identify the Range
a)
(- ∞, -2 ]
b)
[ -2, ∞ )
c)
All Real Numbers
d)
[ 0, ∞)
10.

Which of the following correctly describes the domain and range for the function graphed?

a)

D: [-5, infinity) R: (-infinity, 4]

b)

D: [-5, infinity) R: [4, -infinity)

c)

D: (-infinity, infinity) R: (-infinity, infinity)

d)

D: [4, infinity) R: (-infinity, -5]

11.
Factor Completely:  6x² + 5x - 6
a)
6(x + 1)(x - 6)
b)
(6x + 6)(x - 1)
c)
(2x - 3)(3x + 2)
d)
(3x - 2)(2x + 3)