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Part 1 Algebra II Fall Semester Exam Review

Total questions: 12

Worksheet time: 24mins

Name
Class
Date
1.

What is the domain of the function?

a)

(-1,1)

b)

[-1,1]

c)

(-2,2)

d)

[-2,2]

2.

What is true about the graph?

a)

The range is [-3,3]

b)

The domain is [-3,2)

c)

The domain is (-3,2)

d)

The domain is (-3,3]

3.

Use the table or graph

a)

(-3.236, 1.236)

b)

(−∞,−3.236)U (1.236, ∞)\left(-\infty,-3.236\right)U\ \left(1.236,\ \infty\right)

c)

(−∞,−3.236]U [1.236, ∞)\left(-\infty,-3.236\right]U\ \left[1.236,\ \infty\right)

d)

[-3.236, 1.236]

4.
A person travels by car.  They record their miles driven in a data table.  Calculate the linear regression equation of this data.
a)
y = 61.93x - 1.79
b)
y = -1.79x + 61.93
c)
y = 0.016x + 0.03
d)
y = 0.03x + 0.016
5.

Jason launched a rocket for a physics experiment. This equation can be used to find the height (h), in feet, of the rocket after t seconds.

h = -16t2 + 288t + 8

How many seconds will it take for the rocket to reach a height of 1,304 feet?

a)

9.0 seconds

b)

9.6 seconds

c)

81.0 seconds

d)

82.0 seconds

6.

Which equation in vertex form models the parabola?

a)

y=(x+1)2+3y=\left(x+1\right)^2+3

b)

y=−(x+1)2+3y=-\left(x+1\right)^2+3

c)

x=(y−3)2−1x=\left(y-3\right)^2-1

d)

x=−(y−3)2−1x=-\left(y-3\right)^2-1

7.

What is the equation of this parabola in vertex form?

a)

f(x)=(x+1)2+4f\left(x\right)=\left(x+1\right)^2+4

b)

f(x)=(x−4)2+15f\left(x\right)=\left(x-4\right)^2+15

c)

f(x)=(x+8)2+15f\left(x\right)=\left(x+8\right)^2+15

d)

f(x)=(x−4)2−1f\left(x\right)=\left(x-4\right)^2-1

8.
a)

f(x)=−12(x−4)2−2f\left(x\right)=-\frac{1}{2}\left(x-4\right)^2-2

b)

f(x)=−(x−4)2−2f\left(x\right)=-\left(x-4\right)^2-2

c)

f(x)=−14(x−4)2−2f\left(x\right)=-\frac{1}{4}\left(x-4\right)^2-2

d)

f(x)=(x−4)2−2f\left(x\right)=\left(x-4\right)^2-2

9.

The following equation describes the path of a soccer ball:  h(t)=−16t2+30h\left(t\right)=-16t^2+30 .  After how many seconds with the ball reach a height of 25 feet? 

a)

.559 seconds

b)

.254 seconds

c)

1.559 seconds

d)

1.369 seconds

10.
a)

4±9i2\frac{4\pm9i}{2}

b)

(-6,0) and (3,0)

c)

−4±9i2\frac{-4\pm9i}{2}

d)

(-3,0) and (6,0)

11.

With the given parabola and focus, what would be the equation of the quadratic function?

a)

y=112(x+3)2+2y=\frac{1}{12}\left(x+3\right)^2+2

b)

y=112(x−3)2−2y=\frac{1}{12}\left(x-3\right)^2-2

c)

y=12(x+3)2+2y=12\left(x+3\right)^2+2

d)

y=12(x−3)2−2y=12\left(x-3\right)^2-2

12.
a)

x=±9x=\pm9

b)

x=±3ix=\pm3i

c)

x=±3x=\pm3

d)

x=±9ix=\pm9i