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Geometry MP3 Final Review

Total questions: 46

Worksheet time: 3hrs 29mins

Name
Class
Date
1.
Solve for x.
a)
50.7
b)
50.1
c)
60.7
d)
61.0
2.
How many solutions will this system have?
a)
No Solution
b)
Infinitely Many Solutions
c)
No Clue
d)
One solution
3.
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
4.
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
5.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
6.
Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
7.
Solve the system given:
3x - y = 7
2x + y = 3
a)
(-1,2)
b)
(5,4)
c)
(4,5)
d)
(2,-1)
8.
a)

7

b)

12

c)

6

d)

4

9.
a)

400

b)

1225

c)

1600

d)

cannot be determined

10.

Mitch has 35 more bouncy balls than Rudy. Rudy has b bouncy balls. Choose the expression that shows how many bouncy balls Mitch has.

a)

35 - b

b)

b

c)

35

d)

b + 35

11.

A cell phone company charges $40 per month plus a $35 activation fee. What is the expression for the total cost for m months?

a)

40 - 35m

b)

40m - 35

c)

40m + 35

d)

40 + 35

12.
a)

9mp

b)

20mp

c)

5m + 4p

d)

4m + 5p

13.
a)

2

b)

4

c)

9

d)

10

14.
a)

0

b)

1

c)

2

d)

4

15.

If  2x\frac{2}{x}  =  −3x+5,\frac{-3}{x+5},  what is  x2\frac{x}{2}  ?

a)

-1

b)

-1/2

c)

-2

d)

2

16.
The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.
a)
y=1400(1.09)x
b)
y=1.09(1400)x
c)
y=1400(.91)x
d)
y=1.09x
17.
Does the following equation show growth or decay?
y=10,000*(0.76)x
a)
Growth 
b)
Decay
18.
Does the following equation show growth or decay?
y=10,000*1.26x
a)
Growth 
b)
Decay
19.
Does the following equation show growth or decay?
y=10,000*(1-.05)x
a)
Growth 
b)
Decay
20.
Does the following equation show growth or decay?
y=10,000*(1+.05)x
a)
Growth 
b)
Decay
21.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?
a)
y=8(15,000)x
b)
y=15,000(1.08)x
c)
y=15,000(0.92)x
d)
y=15,000(0.08)x
22.
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
23.

y= ¾ x + 5

y= 5 + ¾ x

a)

No Solution

b)

One Solution

c)

Infinitely Many Solutions

24.

y= 2x + 5

y= 5 + 2x

a)

No Solution

b)

One Solution

c)

Infinitely Many Solutions

25.

Systems with the same slope and same y-intercepts have

a)

No Solution

b)

One Solution

c)

Infinitely Many Solutions

26.

 Ifk>0 and x=6 in the equation below, what is k? Ifk>0\ and\ x=6\ in\ the\ equation\ below,\ what\ is\ k?\   

a)

 474\sqrt{7}  

b)

 4134\sqrt{13}  

c)

112

d)

224

27.
What is half the size of a diameter
a)
Radius
b)
Chord
c)
Arc
d)
Center
28.
What is twice as long as a radius
a)
Center
b)
Diameter
c)
Tanget
d)
Arc
29.
What is the radius of this circle?
a)
12cm
b)
6cm
c)
24cm
d)
3cm
30.
What is the diameter of this circle?
a)
3.5
b)
3
c)
5
d)
7
31.

A number cube with faces labeled from 1 to 6 was rolled 20 times. Each time the number cube was rolled, the number showing on the top face was recorded. The table shows the results. Based on these results, what is the experimental probability that the next time the number cube is rolled it will land with 5 or 6 showing on the top face?

a)

2/5

b)

3/20

c)

1/3

d)

3/5

32.
What percentage of males drive sports cars?
a)
35%
b)
16.25%
c)
65%
d)
25%
33.

What percentage of girls have blonde hair?

a)

30%

b)

32%

c)

29%

d)

40%

34.

The table below shows the results of a survey given to a select group of students at a middle school and high school used to estimate the number of cars per house.

If there are 800 students total between the middle school and high school, about how many have 4 cars per household?

a)

60

b)

250

c)

240

d)

120

35.

If h hours and 40 minutes is equal to 460 minutes, what is h?

a)

7

b)

8

c)

9

d)

6

36.

In a circle with center O, central angle AOB has measure of   π2\frac{\pi}{2}   radians. The area of the sector formed by the central angle AOB is what fraction of the area of the circle?
​

a)

1

b)

1/2

c)

1/8

d)

1/4

37.
A circle has the equation  x2 + y2 - 12x + 8y + 3 = 0.  Use completing the square to 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
38.

Find the center and radius of the circle: x2+y2+14x-2y=-1

a)

center= -7,2 radius= 3

b)

center= -7,1 radius= 7

c)

center= -4,1 radius= 5

39.
What is the radius of the circle with this equation x²+y²-10x+8y-23=0?
a)
4
b)
2
c)
8
40.

Kathy is a repair technician for a phone company. Each week, she receives a batch of phones that need repairs. The number of phones that she has left to fix at the end of each day can be estimated with the equation P = 108 - 23d, where P is the number of phones left and d is the number of days she has worked that week. According to the equation, how many phones does Kathy start each week with?

a)

23

b)

108

c)

85

d)

216

41.
What is the correct ratio?
a)
7/24
b)
24/7
c)
7/25
d)
24/25
42.
What is the correct ratio?
a)
3/5
b)
3/4
c)
4/5
d)
4/3
43.

In right triangle ABC, AC is the hypotenuse and is  54\frac{5}{4}  AB and AB = 4. What is cos c?

a)

4/5

b)

5/3

c)

4/3

d)

3/5

44.

What is the value of x and w?

a)

x = 5.8, w = 12.6

b)

x = 18.4, w = 12.6

c)

x = 12.6, w = 5.8

d)

x = 12.6, w = 18.4

45.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
46.
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)
18 miles
b)
32 miles
c)
37 miles
d)
40 miles

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