Grade 8
Name_________ Date______
Class_______
SHORT REPONSE QUESTIONS (2 points each)
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x |
y |
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0 |
-15 |
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-7 |
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1 |
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9 |
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17 |
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25 |
1) Look at the function
table.
Part A
Write
the equation that shows how to determine the value of y for any value of x.
Equation___________________________
Part B
Use
the equation to find the corresponding y-values
for x = 6, 7, and 8.
Show your work
Answer x = 6, y =_____ : x = 7, y = ______ : x=
8, y = ______
2) The following is a linear
equation: y = ˝ x + 1
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y |
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Part A
Complete this table of values
for the equation.
Part B
Use the values from the table in Part A to
graph the
equation.
3) Solve for n.
8(n
+ 3) = 6(n + 1)
Show your work
Answer___________
4) A certain book had n pages.
6
Solve the inequality for n.
Show your work
Answer___________
5)
Amy’s age 4 years from now will equal 3 times her age 5 years ago.
If a
= Amy’s age in years, this situation can be represented by the
equation a + 4 = 3(a – 5).
Solve the equation to find Amy’s age.
Show your work
Answer___________
EXTENDED REPONSE QUESTIONS (3 points each)
1)
In this diagram, m
1 = xo and
m2 = (2x – 30)o .
Part A
Write an equation that can be solved to find the value
of x.
Equation__________________________
Part B
Solve your equation in Part A. Then, find the m1 and m2 in degrees.
Show your work
m1______________ m2_______________
2)
A business uses
the following equation to calculate P,
profit in dollars, on sales of n
units.
P = 75n – 30n – 500
Part A
If P =
3,100, what is the value of n?
Answer_________________
Part B
On the lines below, explain how you found n.
___________________________________________________________
___________________________________________________________
___________________________________________________________
Part C
If n
increases by 1, what is the effect on the value of P?
Answer________________________________________
3)
The temperature inside
an oven was 60o F. When t6he oven was turned on, the temperature
began to increase at a rate of 40o F per minute.
Part A
Write an equation showing the relationship between x, time in minutes, and y, temperature in o F.
Equation_____________________________
Part B
Use your equation to make a table of values with 5
points.
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Part C
Graph this relationship on the coordinate
grid below.
Be sure to
·
Label the axes
·
Provide a scale
for each axis
4)
The number 144
has many factors.
Part A
In the space below, make a factor tree for the number
144.
Part B
Make a different
factor tree for 144.
Part C
What is the prime factorization for 144?
Answer_________________________
5)
The circle graph
shows the age distribution of the audience at a concert. There were a total of
7,214 people in the audience.
Part A
Estimate
the number of people aged 18-35 in the audience.
Show
your work
Answer__________________people
Part B
The
convert organizer calculated there were 137 people aged under 18 in the
audience.
On
the lines below explain whether or not this is a reasonable estimate.
___________________________________________________________
___________________________________________________________
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