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8th grade Pre-assessment Direct variation and PT

Total questions: 34

Worksheet time: 9hrs 30mins

Name
Class
Date
1.

Find the slope of the line.

a)

2/5

b)

5/2

c)

1/2

d)

2

2.

What is the rate of change in the diameter of the birch tree?

a)

3.5 inches per year

b)

2/7 inches per year

c)

2 inches per year

d)

1.5 inches per year

3.

Is the relationship shown on the graph directly proportional?

a)

Yes

b)

No

4.

What is the meaning of the slope shown in the graph?

a)

For each month of the membership, the cost increases by $25

b)

For each $1 the cost increases, the time increases by 25.

c)

For each month, the cost of the membership increases by $75.

d)

For every dollar spent on the membership, the time increases by by 10.

5.

Choose all of the true statements about the graph:

a)

The relationship shown is directly proportional.

b)

The slope is 3.

c)

The graph includes the point (4, 12)

d)

When you double the x value, the y value doubles.

6.

Is the relationship shown directly proportional?

a)

No

b)

Yes, the slope is 1

c)

Yes, the slope is 2

7.

Is the relationship between the depth and the gallons directly proportional?

a)

Yes, the slope is 2

b)

Yes, the slope is 1/2

c)

No.

8.

Find the slope.

a)

2

b)

1/2

c)

7/4

d)

4/7

9.

Find the slope.

a)

1/2

b)

2

c)

3

d)

1/3

10.

Find the slope between the points.

a)

0

b)

undefined

c)

4/9

d)

9/4

11.

Direct Proportion or Not?

a)

Direct Proportion

b)

Not

12.

Direct Proportion or Not?

a)

Direct Proportion

b)

Not

13.

Direct Proportion or not?

a)

Direct Proportion

b)

Not

14.

Direct Proportion or not?

a)

Direct Proportion

b)

Not

15.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
16.
a)
7 ft
b)
5 ft
c)
3 ft
d)
2 ft
17.
What is the length of the missing side? *NOTE: side lengths of 10 and 12.
a)
15.6
b)
6.6
c)
44
d)
16
18.
What is the height of the cone? 
a)
14 cm
b)
8 cm
c)
12 cm
d)
13.9 cm
19.
if a = 3 feet,  b = 8 feet,  and c = 6 feet, what is the length of d rounded to the nearest hundredth of a foot?
a)
8.54 feet
b)
10.44 feet
c)
10 feet
d)
4.12 feet
20.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
21.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
22.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
23.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
24.
The Pythagorean Theorem is
a2 + b3 = c4
a)
false
b)
true
25.
you ADD a2 and c2 then take the square root to find b on a right triangle.
a)
true
b)
false
26.
you ADD a2 and b2 then take the square root to find c on a right triangle.
a)
true
b)
false
27.
Side a on a right triangle is ALWAYS the longest side.
a)
true
b)
false
28.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
29.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
30.
a)
The top of the ladder is 8.9 ft from the ground
b)
The top of the ladder is 9.2 ft from the ground
c)
The top of the ladder is 16.5 ft from the ground
d)
The top o the ladder is 14.4 ft from the ground
31.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

32.
Which set of side lengths does not form a right triangle?
a)
38, 80, 90
b)
16, 63, 65
c)
36, 77, 85
d)
14, 15, 29
33.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
34.
Find the missing side
a)
√29.2
b)
√400
c)
√20
d)
√10