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FINAL EXAM REVIEW

Total questions: 91

Worksheet time: 8hrs 3mins

Name
Class
Date
1.
What is the Rule for this sequence?
3, 7, 11, 15, ...
a)
+6
b)
+5
c)
+4
d)
+2
2.
What is the Rule for this sequence?
97, 86, 75, 64, ...
a)
+8
b)
+11
c)
-11
d)
-8
3.
Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...
a)
63, 72, 81
b)
79, 88, 97
c)
70, 79, 88
d)
61, 70, 79
4.
What are the next 2 terms:
1/3, 2/3, 1, 4/3...
a)
2 and 7/3
b)
5/3 and 2
c)
5/3 and 7/3
d)
none of the above
5.

What do we call this sequence: 1, 31, 61, 91,...

a)

Arithmetic Sequence

b)

Geometric Sequence

c)

Square Number Sequence

d)

Cube Number Sequence

6.

What is the rule for this sequence?

10, 20, 30, 40.........

a)

Multiply by 10

b)

Add 10

c)

Multiply by 2

7.

What is the rule for this sequence?

2, 4, 6, 8,...........

a)

add 2

b)

multiply by 2

c)

divide by 2

d)

subtract 2

8.

What is the rule for this sequence?

2, 4, 8, 16, 32...............

a)

add 4

b)

multiply by 2

c)

add 2

d)

divide by 2

9.

What is the rule for this sequence?

10.5, 13, 15.5, 18..........

a)

add 2.5

b)

add 2

c)

multiply by 2.5

d)

add 1.5

10.

What is the rule for this sequence?

3, 9, 27, 81..............

a)

add 3

b)

multiply by 3

c)

divide by 3

d)

add 6

11.

What is the rule for this sequence?

9, -18, 36, -72...........

a)

adding 9

b)

multiply by -2

12.

What is the rule for this sequence?

-2, 2, -2, 2, -2............

a)

Add -1

b)

multiply by -1

13.

Write the next term of the following sequence:


5, 8, 11, 14, ...

a)

15

b)

16

c)

17

d)

18

14.

Write the next term of the sequence:


4, 9, 14, 19, ...

a)

24

b)

25

c)

29

d)

20

15.

What is the next number in this sequence?

6, 12, 18, 24, ...

a)

30

b)

28

c)

26

d)

32

16.

Select the next number in the sequence:


2, 8, 14, 20, ...

a)

22

b)

24

c)

26

d)

28

17.

What is the missing number?


__ , 7, 10, 13, 16

a)

6

b)

4

c)

5

d)

3

18.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
19.
-11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
20.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
21.
3(4r - 1) + 5 = 26
a)
-1
b)
2
c)
-2
d)
4
22.

What is the first step in solving a multi-step equation?

a)

Distribution (If necessary)

b)

Combine Like Terms

c)

Move the variable

d)

Move the constant

23.
What is the first step in solving the equation 2a - 4(a - 5) = 10
a)
Add 4 to both sides
b)
Add the 2a and a 
c)
Distribute 4 to a and -5
d)
Distribute -4 to a and -5
24.

What is the first step in solving the equation -3 ( f - 8 ) = 39 ?

a)

Add 3 to both sides

b)

Subtract 39 from both sides

c)

Distribute -3 to f, -8, and 39

d)

Distribute -3 to f and -8

25.

-124 = 4 (1+ 8k)


What is the solution to the equation?

a)

-11

b)

10

c)

-4

d)

-2

26.

Solve the equation:

10 = 5(x + 3)

a)

-1

b)

-5

c)

1.4

d)

5

27.

Solve the equation:

2(x + 3) = 8

a)

2.5

b)

1

c)

7

d)

5.5

28.
4(a + 3) = -32
a)
-11
b)
-44
c)
-20
d)
-8
29.

4 - 2(x - 3) = 24


What is the solution to the equation?

a)

- 7

b)

7

c)

14

d)

- 14

30.

3x + 2(4x - 4) = 3


What is the solution to the equation?

a)

4

b)

3

c)

2

d)

1

31.
2x + 3(5x - 7) = 47
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
32.
3(4r - 1) + 5 = 26
a)
-1
b)
2
c)
-2
d)
4
33.
-11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
34.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
35.
5x - 4 + 2x = 3
a)
1
b)
2
c)
3
d)
4
36.
9x - 2(x + 8) = -2
a)
-10/7
b)
-18/7
c)
-2
d)
2
37.
Simplify:
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
38.
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
39.
(x + 5)(x + 4)
a)
x2 + x + 20
b)
x2 + 20x + 9
c)
x2 + 9x + 20
d)
x2 - 9x + 54
40.
(x + 7)(x + 9)
a)
x2 + 63x + 16
b)
x2 + 16x + 63
c)
x2 + 79
d)
x2 + 16x + 2
41.
(x - 5)(x + 1)
a)
x2 - 4x - 5
b)
x2 + 6x - 5
c)
x2 - 5x - 4
d)
x2 - 4x - 4
42.
(x - 3)(x +10)
a)
x2 - 7x + 13
b)
x2 - 6x - 30
c)
x2 + 7x - 30
d)
x2 + 13x + 30
43.
(2x - 1)(x + 2)
a)
2x2 + 3x - 2
b)
2x2 - 5x - 2
c)
2x2 + 3x + 2
d)
2x2 - 5x + 2
44.
(5c-2)(3c2-5c+4)
a)
15c3-31c4+30c2-8
b)
15c3-19c2+10c-8
c)
15c3-31c2+30c-8
d)
15c3-31c2+30c+8
45.
(4x+1)(5x−2)
a)
20x2 + 3x − 2
b)
20x2 − 11x + 5
c)
20x2 − 18x + 2
d)
20x2 − 3x − 2
46.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
47.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?
a)
3x + 2y = 315
2x + 4y = 450
b)
3x + 2y = 450
2x + 4y = 315
c)
2x + 2y = 315
3x + 4y = 450
48.
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount? 
a)
y = 9.65 + x
y = 8.40 + x
b)
y = 9.65x + 43
y = 8.40x + 58
c)
y =9.65x
y = 8.40x
d)
y = 9.65x - 43
y = 8.40x - 58
49.
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?
a)
1.5x+0.5y=78.5
x+y=87
b)
1.5x+0.5y=78.5
1.5x+0.5y=87
c)
x+y=78.5
1.5x+0.5y=87
d)
x+y=78.5
x+y=87
50.
 Solve using elimination.
 7x + 2y = 24
  8x + 2y = 30
a)
(6,-9)
b)
(-9,6)
c)
No solution
d)
Infinite number of solutions
51.

Solve for y

-4x + 2y = -6

a)

y = -2x + 3

b)

y = 2x + 3

c)

y = 2x - 3

d)

y = -2x - 3

52.

Which equation describes the story below?

You start with $5 and triple your money every day.

a)

y=5(3)x

b)

y=5x

c)

y=5(3x)

d)

y=15x

53.

Write an exponential function to model the situation. Then solve.

The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year. What will the cost be after 4 years?

a)

C(t) = 12000(1.06)t ; $3149.72

b)

C(t) = 12000(.06)t ; $3149.72

c)

C(t) = 12000(.06)t ; $1472.95

d)

C(t) = 12000(1.06)t ; $15149.72

54.

A particular type of cell triples in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 6 of these cells?

a)

f(h) = 3(6)h

b)

f(h) = 6xh

c)

f(h) = 6(3)h

d)

f(h) = 3(6h)

55.

The amount of cola in a soda machine decreases by a rate of 5% each hour. The amount of cola in the machine was originally 75 gallons.

Which function models the amount of cola in gallons after h hours?

a)

f(h) = 75(-5)h

b)

f(h) = -5(75)h

c)

f(h) = .95(75)h

d)

f(h) = 75(.95)h

56.

The function y = 24,220 (0.85)x represents Mr. Bittle's investment in the stock exchange where x is measured in months.

Which statement is NOT true.

a)

Mr. Bittle loses 85% of his investment monthly

b)

Mr. Bittle initially invested $24,220

c)

Each month Mr. Bittle loses 15% of his investment

57.

Write an exponential function to model the situation. You invest $1500. Your investment increases at a rate of 3.5%.

a)

B(t) = 1500(0.965)t

b)

B(t) = 1500(1.035)t

c)

B(t) = 1500(.035)t

d)

B(t) = 1500(1.965)t

58.

Write an exponential function to model the situation. The value of a car is $18000 and is depreciating at a rate of 12% per year.

a)

V(t) = .88(18000)t

b)

V(t) = .12(18000)t

c)

V(t) = 18000(.88)t

d)

V(t) = 18000(.12)t

59.

What is the a-value (or y-intercept) for the function: f(x) = 800(0.85)x?

a)

800

b)

0.85

c)

0.15

d)

x

60.

What is the decay rate for the function: f(x) = 800(0.85)x?

a)

800

b)

0.85

c)

15%

d)

x

61.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay rate?

a)

0.08

b)

1.08

c)

0.92

d)

8%

62.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation that models this situation?

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

63.
The equation f(x) = 300(1.06)x is being used to calculate the amount of money in a savings account.  What does the 1.06 represent?
a)
6% growth
b)
6% decay
c)
1.06% growth
d)
.06% decay
64.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
65.

Determine if the equation y = 15(1.35)x represents exponential growth or decay and justify. Hint: Think about the growth and decay equations.

a)

Growth, because the scale factor is greater than 1

b)

Growth, because the scale factor is less than 1

c)

Decay, because the scale factor is greater than 1

d)

Decay, because the scale factor is less than 1

66.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
67.

Write an exponential function to model the situation. Then solve.

The value of a car is $18000 and is depreciating at a rate of 12% per year. What will the value of the car be after 10 years?

a)

V(t) = 18000(.88)t ; $12986.98

b)

V(t) = 18000(.12)t ; $12986.98

c)

V(t) = 18000(.88)t ; $5013.02

d)

V(t) = 18000(.12)t ; $5013.02

68.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

a)

0.08

b)

1.08

c)

0.92

d)

8

69.
Find the y-coordinate of the midpoint of the line
a)
1
b)
2
c)
-2
d)
3
70.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
71.
Find the distance between the points (4, 3) and (0, 6).
a)
3
b)
4
c)
5
d)
7
72.
Find the y-coordinate of the midpoint of the line
a)
1
b)
2
c)
-2
d)
3
73.
Find the distance between the points (4, 3) and (0, 6).
a)
3
b)
4
c)
5
d)
7
74.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
75.
What is the midpoint between (3, -1) and (8, -6)
a)
(11, -7)
b)
(-5.5, -3.5)
c)
(5.5, -3.5)
d)
(2, -2)
76.
Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)
a)
(-1, 13)
b)
(13, 1)
c)
(13, -1)
d)
(5, 13)
77.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
78.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
79.
What is the center of MN given M(3, -1) and N(7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
80.
What point is halfway between (3, -1) and (8, -6)?
a)
(11, -7)
b)
(-5.5, -3.5)
c)
(5.5, -3.5)
d)
(2, -2)
81.
What formula do you use to measure the entire length of a diagonal? 
a)
midpoint formula
b)
slope
c)
distance formula
d)
midpoint theory
82.
What is the midpoint between (3, -1) and (8, -6)
a)
(11, -7)
b)
(-5.5, -3.5)
c)
(5.5, -3.5)
d)
(2, -2)
83.

Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)

a)

(0, -1)

b)

(6, 1)

c)

(1, 6)

d)

(0, 1)

84.
Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0) 
a)
(4, 3.5)
b)
(3.5, 5)
c)
(3.5, 4.5)
d)
(5, 3.5)
85.
What is the midpoint between (-4, 4) and (-2, 2)
a)
(-6, 6)
b)
(-3, 3)
c)
(1, 3.5)
d)
(-6, 3)
86.
a)

(3, 1)

b)

(3.5, 1)

c)

(4, 1)

d)

(2, 0)

87.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
88.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
89.

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

a)
b)
c)
d)
90.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
91.

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

a)

(-1, 7)

b)

(2, 7)

c)

(7, -1)

d)

(2, 2)

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