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3rd 9 Weeks Test Review Geometry

Total questions: 39

Worksheet time: 3hrs 15mins

Name
Class
Date
1.
Solve the system of Equation (x,y)
3x + y = –14
–2x – y = 9
a)
(-5,1)
b)
(5,-1)
c)
(1,4)
d)
(-1,4)
2.
Solve the system of Equation (x,y)
–2x + y = 10
4x – y = –14  
a)
(1,5)
b)
(6,2)
c)
(-2,6)
d)
(4,6)
3.
The product of seven and a number increased by five
a)
7+n+5
b)
7/n+5
c)
7n+5
d)
7-n+5
4.
12 more than 45% of k
a)
0.45k+12
b)
0.57k
c)
12-0.45k
d)
0.45(k+12)
5.
Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.
a)
h = 2(9) + 15
b)
33 = 15h + 2
c)
h = 15(9) + 2
d)
33 = 2h + 15
6.
The 30 members of a choir are trying to raise $1500 to cover travel costs to a signing camp. They have already raised $600. Which equation would you solve to find the average amount each member can raise in order to meet the goal?
a)
30x + 600 = 1500
b)
30x - 600 = 1500
c)
x + 600 = 1500
d)
30x = 1500
7.
Solve the equation for x:
a)
17
b)
16
c)
15
d)
14
8.
a)
5
b)
-5
c)
25
d)
-25
9.
a)
A
b)
B
c)
C
d)
D
10.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
11.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
12.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SAS

b)

AA

c)

SSS

d)

not similar

13.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
14.
a)

X = 35, Y = 8

b)

X = 2.86, Y = 98

c)

X = 98, Y = 2.86

d)

X = 8, Y = 35

15.
a)

X = 15

b)

X = 20

c)

X = 25

d)

X = 18

16.
How many skittles were in one bag?
a)
33
b)
32
c)
6
d)
7
17.
How many children participated in the survey?
a)
34
b)
30
c)
32
d)
6
18.
How many students spent over 40 minutes but under 60 minutes studying?
a)
22 Students
b)
30 Students
c)
8 Students
d)
5 Students
19.

How many males were surveyed?

a)

77

b)

15

c)

150

d)

52

20.
 Find cosA
a)
30/16
b)
30/34
c)
30/15
d)
16/34
21.
 FInd tanX
a)
32/40
b)
40/24
c)
32/24
d)
24/32
22.
 Find sinA
a)
32/40
b)
32/24
c)
24/40
d)
24/32
23.
Write the equation of a circle with center (h,k) and radius r.
a)
x2 + y2  = r2
b)
(x + h)2 +  (y + h)2 = r2
c)
(x - h)2 + (y - k)2 = r2
d)
(x - h)2 - (h - k)2 = r
24.
What is the radius of the circle with this equation of  (x-5)²+(y+7)²=8?
a)
4
b)
8
c)
4√2
d)
2√2
25.

A circle has the equation x2 + y2 - 12x + 8y + 3 = 0. Write the equation in standard form.

a)

(x - 6)2 + (y + 4)2 = 49

b)

(x + 4)2 + (y - 6)2 = 49

c)

(x - 6)2 + (y + 4)2 = 55

d)

x2 + y2 = 55

26.

What is the radius of the circle with this equation x² + y² - 10x + 8y - 23 = 0?

a)

4

b)

2

c)

8

d)

23

27.
What is 240 degrees in radians? 
a)
π/3
b)
4π/3
c)
5π/3
d)
2π/3
28.
What is 225  degrees in radians? 
a)
7π/4
b)
5π/4
c)
3π/4
d)
5π/3
29.
Convert π radians to degrees.
a)
90⁰
b)
180⁰
c)
360⁰
d)
60⁰
30.
What is 5π/6 radians in degrees?
a)
180
b)
150
c)
360
d)
120
31.
What is π/3 radians in degrees? 
a)
30
b)
60
c)
360
d)
90
32.
How many radians are there in half a circle?
a)
2 pi
b)
180o
c)
360o
d)
pi
33.
The amount of water in the bucket ( in pints) can be modeled by the equation V(n) = 2n + 7 where n is the number of pitchers used to put water in the bucket.  If the bucket contains 29 pints of water, how many pitchers of water were used to fill it?
a)
11
b)
65
c)
9
d)
18
34.
The commission of a sales representative can be modeled by C(x) = 4n - 10, where n is the number of items sold.  If the sales representative sales 30 items, how much commission will they earn?
a)
$20
b)
$120
c)
$5
d)
$110
35.

A lemonade stand’s profit is given by the equation

y=3.5x-12.75. What does 3.5 most likely stand for?

a)

The number of people buying lemonade.

b)

The cost for supplies.

c)

The amount for a cup of lemonade.

d)

The total profit of the lemonade stand.

36.

If 3x-6=21, what is the value of 2x+7

a)

5

b)

9

c)

27

d)

25

37.

Solve for y.

3y + k = am - 4y

a)

7y + k = am

b)

y = (am - k) / 7

c)

k + am + 7 = y

d)

y = 7k + am

38.

Solve the systems of equations.

-2x + y = 4

2x + y = 10

a)

(0,4)

b)

(5, -10)

c)

(1,6)

d)

(3/2, 7)

39.

If x=3x=3   and  k=12k=12  , what is the value of  x2+kx+6x^2+kx+6  

a)

51

b)

60

c)

25

d)

47

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