8th Grade Academic Fall Semester Review – PART 2
1. A baseball diamond is a square with
bases 90 feet apart, as shown below.
What is the distance from home plate to
second base?
2. A 32-inch television measures 32
inches diagonally and has a width of
25 inches. A 26-inch television
measures 26 inches diagonally and
has a width of 18.8 inches. How much
taller is the 32-inch television than the
26-inch television. Round to the
nearest tenth.
3. What is the distance between the two
points?
4. What is the perimeter of the square?
Round to the nearest tenth.
5. The table shows the number of CDs
that four students bought at the store,
as well as other purchases they made.
Pete and Claire spent the same
amount of money. If each CD costs
the same amount, write an equation
to determine how much each CD cost.
Equation: ______________________
How much did Claire and Pete each
spend?
6. What is the value of x?
10.Which situation can be represented by
the equation 100 – 2x = 140 – 6x?
A Tank A has 100 gallons of water
and gains 2 gallons per hour. Tank B
has 140 gallons of water and gains 6
gallons per hour. When will the tanks
have the same amount of water in
them?
7. Ocean’s school is planning a field trip
to a museum. Bus A charges a $40
rental fee plus $4 for each student.
Bus B charges $100 plus $2 a student.
How many students would have to go
for the cost to be the same?
8. The sum of one-half a number and 6
is one-third of the number. What is
the number?
9. One-third Karim’s age increased by 12
is equal to twice his age decreased by
3. How old is Karim?
B Tank A has 100 gallons of water
and loses 2 gallons per hour. Tank B
has 140 gallons of water and loses 6
gallons per hour. When will the tanks
have the same amount of water in
them?
C Tank A has 100 gallons of water
and gains 2 gallons per hour. Tank B
has 140 gallons of water and gains 6
gallons per hour. When will Tank A
have more water than Tank B?
D Tank A has 100 gallons of water
and loses 2 gallons per hour. Tank B
has 140 gallons of water and loses 6
gallons per hour. When will the Tank A
have more water than Tank B?
11. Rasmus is solving the equation
3(x + 5) – 2(5x + 8) = 3x – (x - 17)
Each step of his solution is shown
below.
(1) 3(x+5) – 2(5x + 8) = 3x – (x–17)
(2) 3x + 15 – 10x – 16 = 3x – x + 17
(3)
-7x – 1 = 2x + 17
(4)
-5x – 1 = -17
(5)
-5x = -16
(6)
x = 3.2
Where did the mistake occur?
12. Nia is solving the equation
7(3k + 8) = 4(5k – 1)
Each step of her solution is shown.
Step 1: 7(3k + 8) = 4(5k – 1)
Step 2: 21k + 8 = 20k – 1
Step 3: k + 8 = -1
Step 4: k = -9
14.What is the value of x?
Where did the error occur?
13.Determine if each is a function:
a.
15. Use the model above to find the
measure of angle LMK if angle NMK is
a 90° angle.
16. Find the value of x.
b.
17. Find the value of x.
c.
d.
18.The amount of money raised by a
team for a trip varies directly with the
number of people who have donated.
The amount of money donated by 4
people was $80. How much money
would the team raise if 50 people
contributed to the trip?
22.Which of the following represent a
function? Why or why not?
19.It takes Josh 3 minutes to solve 5
math problems. If this relationship
represents a direct variation, how
many math problems can Josh solve in
24 minutes?
{(0, 0), (1, 3), (3 9), (5, 15)}
20.The graph showing the relationship
between Jordan’s earnings at
Saltgrass and the number of hours he
worked passes through (0, 0) and
(4, 60). How much does Jordan earn
per hour?
Use the mapping below to answer
question #23-25.
23. List the coordinates for the mapping.
21.Which of the following equations
shows a direct variation?
𝑥
A y =3 + 1
B y = 3x
3
C y =𝑥
1
D y = 3x + 1
_________________________
24. List the Domain.
_________________________
25. Is the mapping a function? How do
you know?