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Worksheets

3rd 9 weeks review

Total questions: 102

Worksheet time: 6hrs 16mins

Name
Class
Date
1.
The pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
2.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
3.
The legs form what type of angle?
a)
Acute
b)
Obtuse
c)
Reflex
d)
Right
4.
In a computer catalog, a computer monitor is listed as being 27 inches. This distance is the diagonal distance across the screen. If the screen measures 15 inches in height, what is the actual width of the screen to the nearest inch? 
a)
22 in
b)
23 in
c)
24 in
d)
25 in
5.
What is the value of x in the right triangle shown?
a)
16cm
b)
18cm
c)
24cm
d)
√674cm
6.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
7.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
8.

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

9.

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

10.
 Find the distance between these 2 points.
a)
5.8
b)
 6.3
c)
8.1
d)
40
11.
What is the formula for Pythagorean theorem?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
12.
If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?
a)
9
b)
40
c)
41
13.
What are the 2 shorter sides of a right triangle called?
a)
Hypotenuse
b)
Pythagorean Theorem
c)
Legs
d)
Right triangle
14.
Do these 3 side lengths form a right triangle?
13, 80, and 81?
a)
yes
b)
no
15.
a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?
a)
yes 
b)
no
16.
Given the 3 lengths of a triangle are 6 in, 8 in and 10 in.  Will this make a right triangle?
a)
yes
b)
no
17.
Is this triangle a right triangle?
a)
yes
b)
no
18.

What is the slope?

a)

7

b)

4

c)

3

d)

0

19.

What is the y-intercept?

a)

(0, 7)

b)

(-1, 4)

c)

(0, 3)

d)

(0, 4)

20.

What is the slope?

a)

5

b)

-5

c)

2

d)

2/3

21.

What is the y-intercept?

a)

(0, 5)

b)

(0, -5)

c)

(0, 2/3)

d)

-5

22.

What is the slope?

a)

4

b)

-4

c)

1/4

d)

-1/4

23.

What is the y-intercept?

a)

4

b)

(0, 0)

c)

(0, -4)

d)

(4, 0)

24.
What is the initial value in this equation?
y=8x+6
a)
8
b)
6
25.
What is the rate of change in the equation?
y=8x+6
a)
8
b)
6
26.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
27.

Write an equation to represent the linear function: One day, Mrs. Roland tried to go skiing. She started at the top of a 400 foot hill and fell down at a rate of 20 feet per minute.

a)

y=20x+400

b)

y=-20x+400

c)

y=400x+20

d)

y=400x-20

28.

All of the x values of a relation are called what?

a)
Domain
b)
Range
c)
Relation
d)
Function
29.

All of the y values of a relation are called what?

a)
Domain
b)
Range
c)
Relation
d)
Function
30.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
31.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
32.
Is this table a function or not a function? 
a)
Function
b)
Not a Function 
33.
Which of the following is not a function?
a)
{(0,1), (1,2), (2,3), (3,4)}
b)
{(0,2), (1,3), (4,3), (1,2)}
c)
{(1,3), (4,2), (2,0), (3,4)}
d)
{(1,2), (2,2), (3,2), (4,2)}
34.

The graph of a relation is shown below. Is the relation a function?

a)

Yes

b)

No

c)

Cannot be determined from a graph

35.

The graph of a relation is shown below. Is the relation a function?

a)

Yes

b)

No

c)

Cannot be determined from a graph

36.

Which graph represents a function?

a)
b)
c)
d)
37.
Describe the situation.
a)
Sales decrease quickly at a constant rate, and then increase slowly at a constant rate.
b)
Sales stay constant, then decrease at a constant rate, and increase slowly.  
38.

Which person is running the fastest?

a)

A

b)

B

c)

C

d)

Impossible to determine

39.

How long does the family spend at the beach?

a)

1 hour

b)

2 hours

c)

3 hours

d)

4 hours

40.
Give the equation for the graph
a)
y = 5x - 3
b)
y = 4x + 2
c)
y =-2x + 5
d)
y = - 2x + 4
41.
What is the equation of the line?
a)
y = -3/4x + 3
b)
y = 4/5x + 3
c)
y = -4/5x + 3
d)
y = -4/5x
42.

Based on the table, write the equation in slope intercept form.

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

43.
Give the solution to the system.
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
(1, -3)
44.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
45.
a)
Function
b)
Not a Function
46.
a)
Function
b)
Not a Function
47.
a)
Function
b)
Not a Function
48.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
49.
Choose the best answer that describes the image.
a)
Function
b)
Relation
c)
Function and Relation
d)
Neither a relation nor a function
50.
Is this table a function and how can you tell?
a)
Yes its a function because there are not variables for missing numbers
b)
No it's not a function because the y value 4 repeated
c)
No it isn't a function because the x value 2 is repeated
d)
No it's not a function because the x value 5 has y values of  10 & 12
51.

A relation where every input in matches with exactly one output is called what?

a)

Relation

b)

Linear

c)

Exponential

d)

Function

52.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
53.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
54.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
55.

The graph shows how a motorboat travels around a lake. What does the graph most likely show?

a)

The boat travels at a constant speed for 10 minutes, then stops.

b)

The boat travels at a constant speed for 10 minutes, then slows down.

c)

The boat steadily its speed for 10 minutes, then stops.

d)

The boat increases speed for 10 minutes, then travels at a constant speed.

56.

The value of a stock decreases sharply for 2 weeks, increases sharply for 2 weeks, and then decreases sharply again for 2 weeks. Choose the graph that matches the relationship between the value of the stock and time.

a)

b)

c)

57.

Which situation would represent the graph of the function?

a)

A gardener plants a seed for a new tree. The tree grows over the years.

b)

A tree is planted in a yard. The tree continues to grow over the years.

c)

A tree which is already at its maximum height is planted in a yard.

d)

A tree is planted in a yard. The tree stops growing right after it is planted.

58.

Which description matches the graph?

a)
b)
c)
d)
59.
a)
b)
c)
60.
a)
b)
c)
d)
61.
Dev keeps a record in graph form of how far his car travels and the number of gallons of gasoline it uses.
What is the slope of the graph?
a)
64
b)
128
c)
32
d)
16
62.
Which rate of change represents the following the graph shown?
a)
$ 5 per movie
b)
$10 per movie
c)
$1 per movie
d)
$0.20 per movie
63.
Which of the following rates represents the graph shown?
a)
10 miles per week
b)
9 miles per week
c)
0.1 miles per week
d)
5 miles per week
64.
Which of the following rates of change represent the following graph?
a)
$1 per pound
b)
$2 per pound
c)
$0.50 per pound
d)
$50 per pound
65.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
66.

Which number represents the slope in this verbal description?

Billy opened a bank account with $200 and every week he spends $15.

a)

200

b)

-15

c)

15

d)

-200

67.

What is the slope of the line?

y = -4x + 10

a)

10

b)

4

c)

-4

d)

-10

68.

Identify the type of slope.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

69.

Which letter represents the y-intercept?

y = mx + b

a)

y

b)

m

c)

x

d)

b

70.

Which number or letter represents the y-intercept? y=12x6y=\frac{1}{2}x-6  

a)

6

b)

12\frac{1}{2}  

c)

- 12\frac{1}{2}

d)

- 6

71.

Which number represents the slope in the verbal description?

Johnny went to the carnival. It cost $7 to get in and $2 for every ticket.

a)

-2

b)

7

c)

-7

d)

2

72.

Identify the y-intercept of the equation

y = 2x + 5

a)

2

b)

5

c)

-2

d)

-5

73.

Identify the slope of the Equation

y = 5x + 3

a)

5

b)

3

c)

-3

d)

-5

74.

What type of slope does this graph show?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

75.

What is the y-intercept in the equation y= -2x + 5

a)
-2
b)
3
c)
5
d)
Cannot be Determined
76.
What is the y-intercept of the line graphed below?
a)
3
b)
4
c)
-3
d)
4/3
77.
What type of slope?
a)
zero slope
b)
undefined
c)
negative
d)
positive
78.

Which number represents the slope in this verbal description?

Mary charges $20 per hour for tutoring plus a one-time book fee of $10.

a)

-20

b)

10

c)

20

d)

-10

79.

Mr. Harris attaches a small tank of propane to his portable grill. Then he turns on the grill and cooks food for a barbecue. Choose the graph that matches the relationship between the amount of propane in the tank and time.

a)

b)

c)

d)

80.

Liana hikes slowly away from her campsite for 30 minutes. Then she rests for 10 minutes. Finally, she hikes back at a faster pace, reaching her campsite in 20 minutes. Choose the graph that could represent Liana’s distance from the campsite and time.

a)

b)

c)

d)

81.

A basketball player throws a ball upward from her hands, which are 5 feet above the ground. The basketball reaches a maximum height and then descends a few feet and becomes stuck in the net. Choose the graph that could represent the relationship between the height of the ball and time.

a)

b)

c)

d)

82.

Which of the following equations has a NEGATIVE SLOPE?

a)

y=34x5y=\frac{3}{4}x-5

b)

y=4x+1y=-4x+1

c)

y=13y=-13

d)

x=10x=10

83.

Which of the following equations has a POSITIVE SLOPE?

a)

y=34x5y=\frac{3}{4}x-5

b)

y=4x+1y=-4x+1

c)

y=13y=-13

d)

x=10x=10

84.

Which of the following graphs has a NEGATIVE SLOPE?

a)
b)
c)
d)
85.

Which of the following graphs has a POSITIVE SLOPE?

a)
b)
c)
d)
86.

What is the y-intercept?

a)

(5, 0)

b)

(-5, 0)

c)

(0, 5)

d)

(0, -5)

87.

Linear Functions are functions whose graph is a _______ _____.

a)

U-shaped curve

b)

V-shaped curve

c)

straight line

d)

wavy line

88.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
89.
Which runner was faster?
a)
Runner A
b)
Runner B
90.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
91.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=(-1/3)x-1
d)
y= -3x-3
92.

Which graph represents the equation y=4x1y=4x-1  

a)
b)
c)
d)
93.

Which graph represents the table?

a)
b)
c)
d)
94.

Which graph represents the table?

a)
b)
c)
d)
95.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution 
d)
(6, -2)
96.
Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-1, 4)
b)
(1, -4)
c)
(-4, 1)
d)
(4, -1)
97.
If a system of linear equations has one solution, what does this mean about the two lines? 
a)
Parallel lines
b)
the same line 
c)
Intersecting lines
98.
If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 
a)
Intersecting lines
b)
Same line
c)
Parallel lines
99.
How many solutions will this system have?
a)
One
b)
Two
c)
No Solution
d)
Infinitely Many Solutions
100.
How many solutions will this system have?
a)
No Solution
b)
Infinitely Many Solutions
c)
No Clue
d)
One solution
101.
What is the solution? 
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
102.
How many solutions will this system have? 
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions