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Algebra 1 Georgia Semester 1 Final Exam Review pt. 2

Total questions: 34

Worksheet time: 2hrs 36mins

Name
Class
Date
1.

Bobby ran 10 laps in 21 minutes and 40 seconds. At this rate, how many seconds would it take him to run 2 laps?

a)

130

b)

4.33

c)

260

d)

214

2.

Solve for x: 2(x-1)=3(x+4)+2x

a)

x=14/3

b)

x=-14/3

c)

x=-13/3

d)

x=-5/3

3.

Below is the graph of the system of equations y=2x+1 and y=2x-4. What is the solution to the system?

a)

(-1,4)

b)

Infinitely many solutions

c)

(0,0)

d)

No solution

4.

Solve the system of equations.

a)

(1,5)

b)

(-1,5)

c)

(-1,4)

d)

(1,-4)

5.

Brittany sells large cakes for $5 and small cakes for $4. She sold 22 cakes and made $101. How many large cakes did she sell?

a)

9

b)

11

c)

12

d)

13

6.

The expression 4s represents the perimeter of a square where s is the side length of the square. What does the expression 4(6x) represent?

a)

The area of a square with side length 6x.

b)

The perimeter of a square with side length 6x.

c)

The perimeter of a square with side length 3x.

d)

The perimeter of a square with side length 24.

7.

How many terms does the given polynomial have?

a)

0

b)

1

c)

2

d)

3

8.

How many terms does the given polynomial have?

a)

0

b)

1

c)

2

d)

3

9.
Which situation is best represented by the
function f(x), where f(x) = 12x + 5?
a)
An office-supply store sells x boxes of
ballpoint pens that contain a dozen pens
per box for $5 each.
b)
An Olympic swimmer trains by
swimming 12 kilometers on each of x
weekdays and 5 kilometers on each day
of the weekend.
c)
An algebra quiz has x problems worth
12 points each plus 5 extra-credit
problems worth 5 points each.
d)
A company sells x baseball caps for $12
each and charges a $5 shipping fee.
10.
What is the slope a horizontal line?
a)
-1
b)
undefined
c)
1
d)
0
11.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
12.
Which equation matches the graph?
a)
y = 2x + 3
b)
y = -3
c)
y = 2x - 3
d)
y = -3x + 2
13.
If f(x)=3x-9, find f(5).
a)
f(5) = 6
b)
f(5) = 16
c)
f(5) = -4
d)
f(5) = 24
14.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
15.
What is the slope?
a)
1/4
b)
4
c)
-3
d)
-2
16.
What is the equation of a line with an undefined slope that passes through the point
(9, 13)?
a)
x = 13
b)
y = 13
c)
x = 9
d)
y = 9
17.
What is the equation of a line with a slope of zero that passes through the point
(-7, 9)?
a)
y = -7
b)
y = 9
c)
x = -7
d)
x = 9
18.

Answer the question

a)

A

b)

B

c)

C

d)

D

19.

Answer the question

a)

A

b)

B

c)

C

d)

D

20.

Which of the following lines

goes through the point (0, 4) and

is parallel to y = 5x - 3?

a)

y = 15x 3y\ =\ \frac{1}{5}x\ -\ 3

b)

y = 5x 7y\ =\ 5x\ -\ 7

c)

y = 5x + 4y\ =\ 5x\ +\ 4

d)

y = 5x 3y\ =\ -5x\ -\ 3

21.
A new savings account is opened with $400 and gains 3% every year. What is the exponential function?
a)
f(x)=400(1+3)x
b)
f(x)=400(1-0.03)x
c)
f(x)=400(1+0.03)x
d)
f(x)=400(0.03)x
22.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
23.

What is the range of f(x) = 5x?

a)

[0, ∞)

b)

(- ∞, ∞)

c)

(- ∞,0)

d)

(0, ∞)

24.

What is the domain of f(x) = 5x?

a)

(- ∞, ∞)

b)

[0, ∞)

c)

(- ∞,0)

d)

(0, ∞)

25.
Given y=3determine the asymptote
a)
(0,1)
b)
(0,3)
c)
x=0
d)
y=0
26.
A line that the graph continually approaches but never touches is a(n) _____________________
a)
parabola
b)
asymptote
c)
rational function
d)
None of these
27.

What is the asymptote of y = 2x - 3

a)

y = 0

b)

y = -3

c)

x = 0

d)

x = -3

28.
Asymptote?
a)
y = 2
b)
y = -2
c)
x = 2
d)
y = 0
29.

Which graph matches this equation?

a)
b)
c)
d)
30.

What is the equation for this graph?

a)

y=3(2)x

b)

y=2(3)x

c)

y=4(2)x

d)

y=2(5)x

31.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
32.

An adult takes 800 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. How much ibuprofen is left after 6 hours? (hint: create equation first)

a)

101

b)

102

c)

103

d)

104

33.

Given the following table of values, construct the function that represents the sequence.

a)

y = 3(4)x

b)

y = 3x + 4

c)

y = 4(3)x

d)

y = 4x + 3

34.
Write an exponential function to model the situation. Solve.
2) The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year. What will the cost be after 4 years?
a)
C(t) = 12000(1.06)t ; $3149.72
b)
C(t) = 12000(.06)t ; $3149.72
c)
C(t) = 12000(.06)t ; $1472.95
d)
C(t) = 12000(1.06)t ; $15149.72