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Review for Test 4

Total questions: 35

Worksheet time: 3hrs 42mins

Name
Class
Date
1.

Nathaniel received $200 for his birthday and his friend, Mike, received $250 for his birthday. Nathaniel earns $15 every week for walking the neighbor's dog. Mike earns $12 every week for watering the garden. Nathaniel and Mike are saving money. Which inequality can be used to find "w", the number of weeks it will take Nathaniel to have saved more than Mike?

a)

200 + 15w > 250 + 12w

b)

200 + 15w ≤ 250 + 12w

c)

15w + 12w > 200 + 250

d)

200 + 15w < 250 + 12w

2.

The length of the rectangle, 2x + 5 is greater than the width, 3x - 2.

Which inequality represents this situation?

a)

2x+ 5 < 3x - 2

b)

2x + 5 > 3x - 2

c)

5x > 3

d)

5x < 3

3.

Mallory bought pizza and soda for a party; she pays $12.57 on the sodas and $10.95 for each pizza. Rose also bought pizza and sodas; she pays $10 on the sodas and $12 for each pizza. Which inequality can be used to find "p", the minimum number of pizzas that can be order so that the total Mallory pays is less than the total Rose pays?

a)

12.57 + 10.95p < 10 + 12p

b)

12.57p + 10.95 < 10p + 12

c)

12.57 + 12p > 10 + 10.95p

d)

12.57p + 10.95 > 10p + 12

4.

Uber charges $8.00 to get into the car and $0.75 per mile. Lyft charges $6.00 to get into the car and $1.25 per mile. How many miles would your trip need to be for Uber and Lyft to cost you the same amount?

a)

0.75 + 8x = 1.25 + 6x

b)

6 + 0.75x = 8 + 1.25x

c)

1.25x + 0.75x = 14

d)

8 + 0.75x = 6 + 1.25x

5.
Blind company A charges $25.00 to install blinds for one room and $5.00 for each additional window. Blind company B charges $30.00 to install blinds in one room and $4.00 for each additional window. Write an equation to determine how many blinds would need to be installed for the price to be equal.
a)
25 + 5x = 30 + 4x
b)
25 - 5x = 30 - 4x
c)
30 - 25 = 4x + 5x
d)
25x + 5 = 30x + 4
6.
The Rug store installs carpet for $80 plus $9.50 per square yard of carpet. The Magic Carpet charges $120 for installation and $7.50 per square yard of carpet. Write an inequality that could be used to determine the number of square yards of carpet that need to be installed for The Rug Store to charge more than The Magic Carpet.
a)
80+9.50x > 120+7.50x
b)
80+9.50x < 120+7.50x
c)
80x+9.50 > 120x+7.50
d)
80x+9.50 < 120x+7.50
7.

The perimeter of triangle FGH is 25x units. The dimensions of the triangle are given in units.

Which equation can be used to find the value of x?

a)

12x - 17 = 25x

b)

12x + 17 = 25x

c)

12x + 25x = -17

d)

25x - 17 = 12x

8.

WRITE AN EQUATION TO REPRESENT THE SITUATION


Celebrity A has 400 followers on social media and is gaining 75 followers each day. Celebrity B has 1,000 followers on social media, but is losing 25 followers a day.

a)

400 - 75x = 1,000 + 25x

b)

400 + 75x = 1,000 – 25x

c)

400x - 75 = 1,000x + 25

d)

400x + 75 = 1,000x – 25

9.
Renting games online from Netwii costs $3.33 per game  with no monthly fee.  Renting games online from HDO costs $2.00 per game plus a monthly fee of $10.00.
Which inequality represents the situation when the monthly cost at Netwii is more than the monthly cost at HDO?
a)
3.33v > 2v + 10
b)
3.33v + 10 > 2v 
c)
3.33v < 2v + 10
d)
3.33v + 10 < 2v
10.
The Rug store installs carpet for $80 plus $9.50 per square yard of carpet. The Magic Carpet charges $120 for installation and $7.50 per square yard of carpet. Write an inequality that could be used to determine the number of square yards of carpet that need to be installed for The Rug Store to charge more than The Magic Carpet.
a)
80+9.50x > 120+7.50x
b)
80+9.50x < 120+7.50x
c)
80x+9.50 > 120x+7.50
d)
80x+9.50 < 120x+7.50
11.
Mona is ordering cups for her school.  Company A charges $3.50 for each cup and a one-time starter fee of $14.  Company B charges $0.50 for each trophy and a one-time starter fee of $22.  
Which inequality can be used to find x, the minimum number of cups that can be ordereed so that the total charge at Company A is less than the total charge at Company B?
a)
3.5x + 14 < 0.5x + 22
b)
3.5x + 14 > 0.5x + 22
c)
3.5 + 14x < 0.5 + 22x
d)
3.5 + 14x > 0.5 + 22x
12.

At Gamestop you can buy an Xbox One for $150.00 and each game to go with it would cost $24. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00 Write an equation to determine how many games would need to be purchased for the cost to be equal.

a)

150x + 24 = 180 + 20x

b)

180 - 150 = 24x + 20x

c)

150 + 24x = 180 + 20x

d)

150 - 24x = 180 - 20x

13.

Joe's Canoes charges an initial fee of $20 plus $4 an hour. Callie's Canoes charges a flat rate of $14 an hour. Choose the equation that would find the number of hours that the total for both places would charge the same.

a)

4x + 20 = 14x

b)

24x = 14x

c)

4x - 20 = 14x

d)

20 + 4x = 14

14.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
15.
a)
Function
b)
Not a Function
16.
Does this relation represent a function?
(1,5), (1,6), (1,7), (1,8), (1,9)
a)
Yes
b)
No
17.
You can identify a function from a graph by using the.....
a)
Horizontal Line Test
b)
Eye Test
c)
Vertical Line Test
d)
Diagonal Line Test
18.
Does this table represent a function?
a)
Yes 
b)
No
19.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
20.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
21.

(1,5), (1,6), (1,7), (1,8), (1,9)


Is this relation a function?

a)

Function

b)

Not a function

22.

Is this relation a function?

a)

Function

b)

Not a function

23.

Is this relation a function?

a)

Function

b)

Not a function

24.

Is this relation a function?

a)

Function

b)

Not a function

25.
Does this mapping diagram represent a function?
a)
No, because an input value goes to multiple output values
b)
Yes, because each input goes to one and only one output
26.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
27.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
28.
Is this is a function or not a function?
a)
Function
b)
Not a Function
29.

Which of the following is a function?

a)
b)
c)
d)
30.

Does the graph represent a function?

a)

It is a function because no vertical lines hit it twice.

b)

It's not a function because a vertical line hits it twice.

c)

It's not a function because no vertical lines hit it twice.

d)

It is a function because a vertical line hits it twice.

31.

Does the graph represent a function?

a)

It is a function because no vertical lines hit it twice.

b)

It's not a function because a vertical line hits it twice.

c)

It's not a function because no vertical lines hit it twice.

d)

It is a function because a vertical line hits it twice.

32.

Does the graph represent a function?

a)

It is a function because no vertical lines hit it twice.

b)

It's not a function because a vertical line hits it twice.

c)

It's not a function because no vertical lines hit it twice.

d)

It is a function because a vertical line hits it twice.

33.

Do the ordered pairs represent a function?

a)

Function

b)

Not a Function

34.

Is the following relation a function?

a)

Function

b)

Not a Function

35.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.