Name: _______________________________________________ Date: ______________________________ Period: ______________
Test 4 Review – Similarity, Transformations, and Linear Relationships
1.
Noe currently has $900 in his savings account.
He saves $15 per month. If he saves the same
amount each month and does not take any
money out of the account, in how many
months will Noe have $1,035? Hint: Make a
table.
____________________________________________
2. Jimmy has a cell phone with Maverick Mobile.
He pays a flat rate of $45 a month and 10¢ for
every minute he talks on the phone. Write an
equation for Jimmy’s bill where (x) represents
how many minutes Jimmy talks in one month.
4. Complete the following tables
y = 875 – 125x
h
0
2
4
6
b = 3.5h + 2
X
If Jimmy talked for 500 minutes in one month
how much would his bill be?
3. The Hall Family is renting a banquet hall for
their son’s wedding. The rectangular tables are
arranged in rows as shown below.
Write an Equation to represent above pattern
of tables?
b
y
1
2
3
4
Y = - 1.5x + 2
X
0
1
2
3
Y
5. Joshua is visiting the game room at U of H. The
games are $0.25 per play and he only has $8.75
to spend. Which equation can be used to find
x, the number of times that Joshua can play
and still have $3.25 left over?
8. A technician charges an initial fee of $300
plus an hourly fee of $60. Mr. Jenks paid
the technician $480. How many hours did
the technician work?
A. .25x – 3.25 = 8.75
B. .25(x) + 3.25 = 8.75
___________________________________________
C. .25 + 3.25 = 8.75
D. 8.75 - .25 – x = 3.25
Use the graph for questions 9-11
The graph shows the value of Kelly’s car in
the years after she purchased it.
6. Jeremiah and John are both plumbers.
Jeremiah charges an initial fee of $200 plus an
hourly fee of $60. John charges an initial fee of
$50 plus an hourly fee of $150. If Jeremiah and
John each have 6-hour jobs, who earns more
money? How much more?
9. What was the value of Kelly’s car when she
purchased it?
____________________________________________
10. By what amount does the value of Kelly’s car
decrease every year?
7. Write an equation to represent the data in the
table below.
x -2
y 2
-1
4
0
6
1
8
____________________________________________
11. What equation shows the relationship between
y, the value of Kelly’s car and x, the age of the
car in years?
12. Slope = _____________
14. What is the value of X? _____________________
15. What is the actual perimeter of the school
library based off of the scale model given?
Scale= 2 in. : 11 ft.
13. Find the slope of the line through each pair of
coordinates.
a. (1, -1) (8, 2)
b. (0, 0) (7, 4)
c.
(-4, -3) (-2, -6)
d. (0, 0) (-2, -4)
16. Michael wants to find the length of the shadow
of a tree. He measures the height of a
fencepost and the length of the shadow it casts.
The fencepost is 3.5 feet tall, and its shadow is
10.5 feet long. Next, Michael measures the
height of the tree, and finds it is 6 feet tall. How
long is the shadow of the tree?
17. Quadrilateral JKLM has vertices J(-8, 3),
K (-10, -3), L(-2, 3), and M(0, -3). Translated it
5 units right and 4 units down. What are the
new coordinates?
18. A garage floor measures 150 feet by 120 feet. A
scale drawing of the floor on grid paper uses a
scale of 1 unit : 15 feet. What are the scaled
dimensions of the drawing?
19. Which of the follow statements is NOT true
concerning a figure that has all of its vertices in
Quadrant I?
A) If it is reflected across the Y-Axis it will end
up in Quadrant II
B) If it has a 180 degree rotation it will end in
Quadrant III
C) If it is dilated by a scale factor of 2 in would
be enlarged
D) If it is reflected across the X-Axis it will end
up in Quadrant III
20. What is the value of X? ______________________