Name: ________________________________
6th grade Math Spring Final Exam REVIEW
A. A boat travels at the rate of 35 miles, m, per hour, h. Write an equation to represent
this scenario.
B. Write an equation to represent the function shown
in the table.
C. Write the four ordered pairs found in the table.
D. Write an equation for the table.
x
y
8
10
10
12
12
14
14
16
x
y
3
4
6
8
9
12
12
16
m
c
5
20
9
24
13
28
17
32
E. Fort Bend Middle School is located at (2,5) on the
coordinate plane. The table below gives the location of
four student’s houses. If each unit represents one block,
how many students live within 5 blocks of school?
Student’s
Name
Dorian
Nattaly
Lucy
Anthony
Location
of House
(-1,5)
(-5,2)
(-2,-5)
(2,-1)
F. Chris is late to practice because of a dentist appointment and starts running laps after
Joe has already completed 10 laps in the gym. The two friends decide to run together
for the rest of practice. If c is the number of laps that Chris runs and j is the number
of laps Joe runs write an equation to represent this situation.
G. The following table shows the growth of a plant over time. Identify the independent
and dependent variables for the situation represented in the table.
Independent:
Dependent:
Time (in days)
3
6
9
Height (in inches)
10
13
16
Independent:
Dependent:
Students
H. The graph at right shows the relationship between number of students and number of
teachers. Identify the independent and dependent variables
for the situation represented in the graph.
Teachers
I.
A’niah got a new iPod for her birthday from her grandmother. Her grandmother
loaded the new iPod with twenty of A’niah’s favorite songs. Every week, if A’niah does
all of her homework, her grandmother lets her buy one additional song off of I-tunes.

Identify the independent and dependent variables for the situation represented in
the graph.
Independent:
Dependent:

Write an equation to represent the situation.

Is the relationship additive or multiplicative?
J. Which real-world problem corresponds to the inequality 𝑦 ≥ 𝑥 + 20?
A. Let 𝑦 represent the temperature in Nairobi and 𝑥 represent the temperature in
Chicago. For the past three years, the daily temperature in Nairobi has always
exceeded Chicago’s daily temperature by a minimum of 20 degrees.
B. Let 𝑥 represent Hailey’s mom’s age and 𝑦 represent Hailey’s age. Hailey’s mom
was 20 years old when Hailey was born.
C. Let 𝑦 represent the total amount of money earned in sales and 𝑥 represent the
number of DVDs sold. Braeden opens an online business selling DVDs for $20
each. He hopes to earn at least $500 in his first month of business.
K. The student council is selling gourmet lollipops for a school fundraiser. Each lollipop
sells for $2. Let 𝑛 represent the number of lollipops sold. If the student council has a
goal of collecting at least $1000 in total sales, write an inequality to represent this
situation.
L. A student has $30. Berries cost $3 per pound. Write an inequality to represent the
number of pounds of berries that can be bought.
M. Solve and Graph −3𝑥 < 12?
N.Write the inequality given on the number line.
-2
-4
0
2
4
O. A triangle has two side lengths, 4 and 9. Assume that 9 is the longest side.

Give two possible third sides.

Give one side length that is not possible.
P. Write the relationship between sides and angles in a triangle.
Q. The ages of the members of a volunteer group are shown below. Create a box plot for
the following data: 13, 14, 14, 14, 15, 15, 15, 16, 16, 21, 23.
R. The table below summarizes the responses to the question “What is your favorite
Houston sports team?” Write three conclusions from this data.
Response
Frequency
Texans
Rockets
Astros
Dynamo
12
16
8
4
Relative
Frequency
0.3
0.4
0.2
0.1
S. The following box plot summarizes the test scores of students in one class. Write
three conclusions from the data.
T. Write the expression 9 − 𝑝 in words.
U. There are 6 blue shirts and g green shirts in a drawer. There are 11 shirts total in the
drawer. Write an equation for this situation.
V. Solve the equation 6𝑐 = 42.
1
W. What is the first step for solving the equation 2 𝑥 = 16?
X. The coordinate plane shows certain locations in
town. List the coordinates of the following:
Y.

Library:

School:

Hospital:

Bank:
A triangle has angles that measure 70º and 30º. What is the measure of the third
angle?
Z. What is the area of the parallelogram to the right?
AA. Write an equation to find the area.
BB. A carpet remnant is shaped like a triangle. It has a height of 30 inches and a base
of 6 inches.

Write an equation to represent the area.

Find the area of the remnant.
CC. The volume of a suitcase is 1,200 cubic inches. Its length is 20 inches, and its
height is 12 inches.

Write an equation to represent the width.

Find the width of the suitcase.
DD. The owner of a smoothie company wants to rent a kiosk in the new mall. He is
choosing between two spaces. Both have floor plans shaped like parallelograms.
The first space is 13 feet wide and 16 feet long. The second space is 15 feet wide
and 15 feet long.

Which is the larger space?

What is the square footage of the larger space?
EE. List three sets of three sides that WILL form a triangle.
FF.
GG.
What is the general relationship between education and unemployment?
(Circle one)

As education increases, unemployment increases

As education increases, unemployment decreases
Which form of payment for a purchase may incur fees if the balance is not paid by
the due date?
HH. Write two conclusions that are generally true for people with a poor credit history.
II.
Your bank statement shows you have a balance of $300. All the checks you have
written during this statement period are shown on the account statement. But
there is a deposit missing. If your account register shows you have a balance of
$420.80, how much is the missing deposit?
JJ.
How are credit reports used?
KK.
Preston signed up for overdraft protection at his bank. This bank charges an
overdraft fee of $20 for insufficient funds. Preston had a balance of $40. He then
purchased a pair of tennis shoes using his bank debit card. If the total charge for
the tennis shoes is $52, what will be Preston’s new balance?
Use the stem and leaf plot to answer LL and MM.
LL. What is the median of the stem and leaf plot?
MM. What is the range of the stem and leaf plot?
NN.
Alissa’s budget is shown in the circle graph to the right.
Her total monthly budget is $1,200. How much does
Alissa spend on rent?
OO. What is the value of the expression 200 + (7 - 5)3  4?
PP. Simplify the following 2(7x + 3 - x).
Use the graph to the right to answer QQ, RR, and SS.
QQ. What are the coordinates of point P?
RR.
What is the independent variable?
SS.
Write an equation for Car A.
TT. What is the range of the data represented in the dot plot below?
UU.
What is the relative frequency of students who chose red as their favorite color
based on the bar graph below?