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Unit 7 Lessons 1-7 Mid Unit Test Review

Total questions: 25

Worksheet time: 4hrs 5mins

Name
Class
Date
1.
3x2 = 12
a)
± 2
b)
2
c)
± √12
d)
± 4
2.
(x + 1) 2 = 25
a)
± 5
b)
4  or  -6
c)
-4  or  6
d)
± 4
3.
a)

±72

b)

±12

c)

12

d)

No real solution

4.
Which of the following is not the same as "solution"?
a)
x-intercept
b)
roots
c)
zeros
d)
y-intercept
5.
How many zeros does this parabola have? 
a)
3
b)
2
c)
0
d)
1
6.

Solve by factoring: x2 = 9x - 20

a)

x = -4 and x = -5

b)

x = 20 and x = -9

c)

x = 4 and x = 5

d)

x = -4 and x = 5

7.

Select the solution(s) for the quadratic:   x211x+19=5x^2-11x+19=-5  

a)

3

b)

8

c)

-9

d)

-3

8.
Solve by factoring: x2 + 3x - 18 = 0
a)
x = -3 and x = 6
b)
x = 3 and x = -6
c)
x = -9 and x = 2
d)
x = 9 and x = -2
9.
Find the zeros.
a)
0 and 4
b)
0 and -4
c)
0
d)
-4
10.

How many solutions does this function have?

a)

two

b)

one

c)

all real numbers

d)

no real solutions

11.

How many solutions does this function have?

a)

two

b)

one

c)

all real numbers

d)

no real solutions

12.

What are the solutions to this function?

a)

x={-2,-1}

b)

x={-3,-1}

c)

x={-1,3}

d)

x={-1,-2}

13.

What is another word for solutions

a)

zeros

b)

roots

c)

x-intercepts

d)

y-intercepts

e)

vertex

14.

A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t2 + 8t + 24

How high is the platform?

a)

.25 ft

b)

24 ft

c)

25 ft

d)

8 ft

15.

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:

h = -16t2 + 80

About how long did it take for the balloon to hit the ground?

a)

1.73 seconds

b)

2.24 seconds

c)

2.45 seconds

d)

2.83 seconds

16.

Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation

h = -2t2 + 7t + 4 models the toy's height, h, from the ground at t seconds after he threw it. How high is the toy after 1 second?

a)

2 ft

b)

4 ft

c)

9 ft

d)

10 ft

e)

15 ft

17.

You are cliff diving with some friends. Your path to the water is modeled by h(t) = -16t2 + 8t +24. How long will it take for you to hit the water? What are you solving for?

a)

roots

b)

axis of symmetry

c)

y-value of the vertex

d)

y-intercept

18.

A dolphin jumps from the water. The function h(t) = -16t2 + 80t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps? What are you solving for?

a)

solutions

b)

y-intercept

c)

axis of symmetry

d)

y-value of the vertex

19.
The function f(t) = -5t2+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground? 
a)
4 seconds
b)
-2 seconds
c)
-6 seconds
d)
9 seconds
20.

Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.

h = -5t2 + 45

When is the ball at ground level?

a)

only at t = 0 seconds

b)

only at t = 3 seconds

c)

only at t = 9 seconds

d)

at both t = 0 seconds and t = 3 seconds

21.

 A toy rocket is launched from the top of hill. The rocket’s height h at any given second t is modeled by the equation

h= 16t2+32t+48h=\ -16t^2+32t+48

How long was the rocket in the air?

a)

1

b)

3

c)

48

d)

64

e)

72

22.

A flying squirrel jumped from a tree. The equation of the squirrel's path is modeled by 

h= 2t2+9t+11h=\ -2t^2+9t+11 What was the initial height of the squirrel?

(Hint: initial height = y-intercet)

a)

2.25

b)

5.5

c)

11

d)

21.1

e)

24.3

23.

Your nephew is standing on his deck and tosses his toy up into the air.

The equation h= 2t2+5t+3h=\ -2t^2+5t+3 models the toy’s height h in feet from the ground at t seconds after he threw it.

How high is the toy after 2 seconds?

a)

1.25

b)

3

c)

4

d)

5

e)

6.13

24.
Find the zeros of this quadratic.
a)
b=4/5, b=3
b)
b=4, b=-3
c)
b=1/5, b=3
d)
b=4/5, b=-3
25.

Solve the quadratic function: y= x2+7x 5y=\ x^2+7x\ -5

Can you factor? If not, what method did you use to find the roots? What are the roots?

4 lines