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Unit 4 (Lesson 1 - 3) Review Warmup Assignment

Total questions: 16

Worksheet time: 1hrs 11mins

Name
Class
Date
1.
Name and Classify the Polynomial:
x² − 4
a)
quadratic binomial
b)
quadratic monomial
c)
linear binomial
d)
linear monomial
2.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x+ 3x +1
b)
-2x- 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
3.
Simplify the expression:
(3x4 - 4 - 5x2) - (1 - x2 + 2x3)
a)
3x4 - 2x3 - 4x2 - 5
b)
3x4 - 7x3 - 4x2 - 5
c)
3x4 - 7x3 - 4x2 - 4
d)
3x4 - 5x3 - 4x2 - 4
4.

Find the product:

(3x + 2)(2x + 4)\left(3x\ +\ 2\right)\left(2x\ +\ 4\right)  

a)
6x2 + 16x + 8
b)
5x2 +11x + 6
c)
5x2 + 16x + 6
d)
6x2 + 11x + 8
5.

Match the following with their simplified answer.

a)

i9i^9  

1.

i

b)

i18i^{18}  

2.

-1

c)

i39i^{39}  

3.

-i

d)

i20i^{20}  

4.

1

6.
Simplify:
(3 + 2i) + (4i + 6)
a)
9 + 6i
b)
7i + 8
c)
9 + 6i2
d)
9 - 6i
7.
Simplify:
(4 + 7i) - (3 + 2i)
a)
1 + 5i
b)
7 + 9i
c)
1 + 9i
d)
-1 + 5i
8.
Simplify:
2i(4 - 3i)
a)
6 + 8i
b)
6 - 8i
c)
8i - 6i2
d)
8i + 6i2
9.

Find the conjugate of:
7i + 5

a)
5 − 7i
b)
-5 − 7i
c)
-5 + 7i
10.

Divide:

a)

12545i\frac{12}{5}-\frac{4}{5}i

b)

810i45-\frac{8}{10}i-\frac{4}{5}

c)

45+125i-\frac{4}{5}+\frac{12}{5}i

d)

125+45i\frac{12}{5}+\frac{4}{5}i

11.

The height of an object thrown into the air can be modeled by the formula  y=16x2+70x+95y=-16x^2+70x+95 , where y is in feet after x seconds.
What is the initial height of the object?

a)

70 feet

b)

95 feet

c)

149 feet

d)

-16 feet

12.

A ball is thrown into the air with an upward velocity. Its height, h, after t seconds is given by the function below.
h=16t2+64t+960h=-16t^2+64t+960  
How many seconds did it take for the ball to reach its maximum height?

a)

10 seconds

b)

64 seconds

c)

960 seconds

d)

2 seconds

13.

h=16t2+64t+960h=-16t^2+64t+960  

A ball is thrown into the air with an upward velocity of 64 ft/s. Its height, h, after t seconds is given by the function above.
When did the ball hit the ground?

a)

10 seconds

b)

2 seconds

c)

5 seconds

d)

7 seconds

14.

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -16t2 + 80t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

a)

1 foot

b)

5 feet

c)

96 feet

d)

100 feet

15.
Which is a zero of the graph?
a)
0
b)
-1
c)
1.5
d)
-3
16.

What is the vertex?

a)

(2,3)

b)

(3,2)

c)

(3,0)

d)

(0,2)