algebra part 1 1

Question 1 (5 points)

Tickets to see a movie cost $5 for children and $8 for adults. The equation 5x + 8y = 80 represents the number of children (x) and adults (y) who can see the movie with $80. If no adults see the movie, how many children can see the movie with $80?

Question 1 options:

a)

13

b)

10

c)

6

d)

16

Question 2 (5 points)

The graph of g(x) = (x + 1) is a transformation of the graph of f(x) = x. Which of the following describes the transformation?

Question 2 options:

a)

translation 1 unit left

b)

translation 1 unit right

c)

translation 1 unit up

d)

translation 1 unit down

Question 3 (5 points)

Find the slope of the line through (3, 7) and (–1, 4)

Question 3 options:

a)



43





4


3




b)



112





11


2




c)



34





3


4




d)



211





2


11




Question 4 (5 points)

Which is an equation for the nth term of the sequence?

12, 15, 18, 21, …

Question 4 options:

a)

𝑎𝑛 = 9n + 3

b)

𝑎𝑛 = 12n + 3

c)

𝑎𝑛 = 3n + 9

d)

𝑎𝑛 = n + 3

Question 5 (5 points)

What is the slope of the line through (–4, 3) and (5, 3)?

Question 5 options:

a)

1

b)

9

c)

0

d)

undefined

Question 6 (5 points)

Which line has a y-intercept of –2?

Question 6 options:

a)

both â„“ and t

b)

â„“

c)

t

d)

p

Question 7 (5 points)

Find the function that represents the relationship in the table

Question 7 options:

a)

y = 8x

b)

y = 8x + 14

c)

y = 14x + 8

d)

y = 14x + 14

Question 8 (5 points)

Find the equation in slope-intercept form of a line with slope –2 and y-intercept 4.

Question 8 options:

a)

y = 2x-4

b)

y = 4x -2

c)

y = -2x

d)

y = -2x+4

Question 9 (5 points)

Which line is the graph of y = 2x + 4?

Question 9 options:

a)

p

b)

â„“

c)

the x-axis

d)

t

Question 10 (5 points)

Which equation is a linear equation?

Question 10 options:

a)

3a + 5b = 3

b)



23xy − 34y = 0





2


3



x


y










3


4



y




=




0



c)

4m2 = 6

d)



x2+y2 = 0





x


2



+



y


2





=




0



Question 11 (5 points)

COMMUNICATION In 1996, there were 171 area codes in the United States. In 2007, there were 215. Find the rate of change from 1996 to 2007.

Question 11 options:

a)

4

b)

44

c)

-4

d)



14





1


4




Question 12 (5 points)

If

f(x) = ||x||




f


(


x


)




=





x




, find

f(−14)




f








1


4






Question 12 options:

a)

-2

b)



−12








1


2




c)

0

d)



12





1


2




Question 13 (5 points)

Find the zero of 5x – 20 = 0.

Question 13 options:

a)

4

b)

5

c)

0

d)

-20

Question 14 (5 points)

Determine which sequence is an arithmetic sequence.

Question 14 options:

a)

–7, –3, 1, 5, …

b)



15, 17,19, 111, ...





1


5



,





1


7



,



1


9



,





1


11



,




.


.


.



c)



−10, 5, −52, 54, ...







10


,




5


,








5


2



,





5


4



,




.


.


.



d)

3, 6, 12, 24, …

Question 15 (5 points)

Which equation is not a linear equation?

Question 15 options:

a)

x = -5

b)



2x + 3y = 5





2


x





+





3


y





=




5



c)



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