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2025 3rd Quarter Review

Total questions: 85

Worksheet time: 8hrs 26mins

Name
Class
Date
1.

|x + 8| − 5 = 2

(a)  

2.
-|−2r − 1| = 11
a)
{-6,5}
b)
{5,-6}
c)
-6
d)
No Solution
3.
What's a way to define absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number from zero
d)
The multiplicative inverse of a number
4.
True or False: Is x = 4 a solution to |x + 5| = -9
a)
True
b)
False
5.
 |−2n| + 10 = −50
a)
{30, -30}
b)
{20,-20}
c)
{-5,5}
d)
No Solution
6.

Solve for x

l 2x−1 l = 9

(a)  

7.

How many solutions does the following equation have?

0 = -6|9v - 7|

a)

no solution

b)

one solution

c)

two solutions

8.

How many solutions does the equation have?

-6|-r - 4| = -18

a)

no solution

b)

one solution

c)

two solutions

9.

solve for z.

|-4z|=7

a)

-7/4, 7/4

b)

-7/4

c)

11, 3

d)

-11, -3

10.

solve for b.

|b + 4| - 4 = 0

(a)  

11.

∣x+3∣=8\left|x+3\right|=8  

a)

x = 5

b)

x = 5, -5

c)

x = 5, 11

d)

x = 5, -11

12.

Solve: ∣x−6∣≤4\left|x-6\right|\le4  

a)

[2, 10]

b)

[-10, 10]

c)

(2, 10)

d)

(−∞,2]U[10,∞)\left(-\infty,2\right]U\left[10,\infty\right)  

13.

What is the solution to: |x + 5| - 8 = -2

a)

x = 1

b)

x = 1, -11

c)

x = 1, 5

d)

No Solution

14.

Solve: |-9x| < 54

a)

x > -6 and x < 6

b)

x < -6 or x > 6

c)

x < -6 or x > 6

d)

x > -6 and x < 6

15.

∣10+4x∣=14|10+4x|=14  

a)

1, -6

b)

1,-1

c)

6,-6

d)

Answer Not Given

16.
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
17.

Give the solution to the system.

(No spaces in your answer)

(a)  

18.
What kind of lines have no solution to a system of equations
a)
Parallell Lines
b)
Overlapping lines
c)
Intersecting Lines
d)
Skew Lines
19.
Parallel Lines never intersect because...
a)
they have the same slopes. 
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts. 
20.

Solve the system


4x + 8y = 20


-4x + 2y = -30


(No spaces in your answer)

(a)  

21.

Solve the system


2x + 9y = -7


6x - 3y = 9


(No spaces in your answer)

(a)  

22.

Solve the system


y = 2x + 1


y = 4x - 1

(a)  

23.

Solve the system


x = -3y - 8


x - 2y = -3


(No spaces in your answer)

(a)  

24.

Solve the system


2m + 3n = 4


-m + 2n = 5


(NO spaces in your answer)

(a)  

25.

Solve the system


7x + 2y = 24


8x + 2y = 30


(NO spaces in your answer)

(a)  

26.
a)
b)
c)
d)
27.

Solve the system


7x+4y =12


x + 2y = -4


(NO spaces in your answer)

(a)  

28.

When solving a system of linear equations algebraically, Chrissy obtained 0=4. How can Chrissy interpret that result?

a)

No solution

b)

The result is impossible, so she made a mistake

c)

Infinitely many solutions

d)

Solution of (0,4)

29.

For which system of linear equations is (2,3) the solution?

a)


4x−3y=84x-3y=8

2xy=72xy=7

b)

5x−y=105x-y=10
2x+2y=82x+2y=8

c)

3x−4y=−63x-4y=-6
x−4y=−10x-4y=-10

d)

4x+2y=144x+2y=14
3x−y=73x-y=7

30.

Five Guys is celebrating their grand opening. For 3 milkshakes and 1 burger, the cost is $12. For 5 milkshakes and 4 burgers, the cost is $41. What is the total cost of 1 burger and 1 milkshake

a)

$6

b)

$8

c)

$10

d)

$12

31.

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

a)

4x + 6y = 3

13.5x - 13y = 6

b)

x + y = 4

x - y = 6

c)

4x + 6y = 13

3x + 7y = 13.5

d)

4x - 6y = 13

3x - 7y = 13.5

32.
The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?
a)
S + A = 530
3S + 4A = 1740
b)
S + A = 530
4S + 3A = 1740
c)
S + A = 1740
3S + 4A = 530
d)
S + A = 1740
4S + 3A = 530
33.

Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have? Which system best represents the situation?

a)

x + y = 1430

20x + 50y = 49

b)

x + y = 49

10x + 5y = 1430

c)

x + y = 49

20x + 50y = 1430

d)

x + y = 49

x + y = 1430

34.
Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?
a)
x+y=134
x+y=120
b)
3x+3y=134
4x+3y=120
c)
4x+3y=134
3x+3y=120
d)
7xy=134
6xy=120
35.

Give the solution to the system.

(a)  

36.

The growth factor for this table is

(a)  

37.
The equation for this table is 
a)
y = 1(2x)
b)
y = 1(12x)
c)
y = 12x
d)
y = 12x + 1
38.
The equation for this table is
a)
y = 3x + 50
b)
y = 50x
c)
y = 3x
d)
y = 50(3x)
39.
The equation for this table is 
a)
y = 25(4x)
b)
y = 4(25x)
c)
y = 4x
d)
y = 4x
40.

What is the y-intercept represented by the equation y = 10(5x)

(a)  

41.
A mommy rabbit has two children.  Her two children each have two children.  Her grandchildren each have two children.  How is her family growing?
a)
linear with slope = 2
b)
linear with slope = 4
c)
exponential with gf = 2
d)
exponential with gf=4
42.
The equation for this exponential function is
a)
y = 1(2x)
b)
y = 1(4x)
c)
y = 3x
d)
y = 1(3x)
43.

The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been increasing at a growth rate of 1.03 each month.


What is the equation of the situation?

Please write it as "y=a(b)^x" with no spaces.

(a)  

44.

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a growth factor of 1.25 a month.


What is the equation of the situation?

Please write it as "y=a(b)^x" with no spaces.

(a)  

45.

A colony of 500 termites is tripling monthly.


What is the equation of the situation?

Please write it as "y=a(b)^x" with no spaces.

(a)  

46.

What is the growth factor for the equation?

y = 200(1.8x)

a)

200

b)

1.8

c)

80%

47.

What is the initial value for the equation?

y = 200(1.8x)

a)

200

b)

1.8

c)

80%

48.

What is the growth rate for the equation?

y = 200(1.8x)

a)

200

b)

1.8

c)

80%

49.

Sally invests $750 dollars into a bank that pays 7% interest.

What is the growth factor?

a)

750

b)

1.7

c)

1.07

d)

7%

50.

Given the growth rate, what is the growth factor?

47%

a)

0.47

b)

0.53

c)

1.47

51.

Given the growth rate, what is the growth factor?

120%

a)

2.2

b)

1.2

c)

0.8

52.

Given the growth factor, what is the growth rate?

1.23

a)

123%

b)

23%

c)

77%

53.

Given the growth rate, what is the growth factor?

16%

a)

1.6

b)

1.16

c)

0.84

54.

Which of the following functions shows an initial amount of $15 and an decrease of 35% each year?

a)

y = 15(65)x

b)

y = 15(0.65)x

c)

y = 15(0.35)x

d)

y = 35(1.35)x

55.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
56.
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
a)
14327
b)
4309
c)
839
d)
7680
57.
You buy a new computer for $2100. The computer decreases by 50% annually. How much is it worth after 2 years.
a)
225
b)
325
c)
425
d)
525
58.

The Country of Puerto has 3,370,000 people in it and is decreasing at a rate of 4.5%. Estimate the population after 40 years.

a)

534,275

b)

19,601,148

c)

1,350,756

d)

2,521,541

59.
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
60.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
61.
Is this exponential growth or decay?
a)
Growth
b)
Decay
62.
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
63.
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
a)
14327
b)
4309
c)
839
d)
7680
64.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
65.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
66.
Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?
a)
$176,783.29
b)
$424,527.63
c)
$57,357.75
d)
$532,041,076.80
67.
A stamp gets more expensive each year.  It increases in value by 60 % each year.  What is the growth FACTOR?
a)
.6
b)
1.06
c)
1.6
d)
.4
68.
Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%.  What is the growth factor?
a)
.96
b)
1.4
c)
1.04
d)
$3000
69.
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
70.
Since January 1980, the population of the city of Brownville has grown according to the mathematical model y=720,500(1.022)x, where x is the number of years since January 1980. What is the was the population of Brownville in 1980?
a)
102.2 people
b)
720,500 people
c)
1.022 people
d)
1022 people
71.
The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been increasing at a rate of 3% each month. How many people will attend by the end of a year?
a)
356
b)
265
c)
5825
d)
1329
72.
Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. If no other money is added or withdrawn from the account, how much will be in the account after 10 years?
a)
$3122.18
b)
$4994.50
c)
$4440.73
d)
$86,776.40
73.
In 1985, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers increased by 75% per year after 1985. How many cell phone subscribers were in Centerville in 1994?
a)
OVERFLOW
b)
1994
c)
1000
d)
43871
74.
What does the model P=A(1+r)t best represent?
a)
Exponential growth
b)
Simple Interest
c)
Compound Interest
d)
Exponential Decay
75.
What is the pattern you see in this table?
a)
Common Ratio = 1/3
b)
Common Difference = 8
c)
Common Ratio = 3
d)
Common difference = 3
76.
Which equation matches the graph?
a)
y=2(2)x
b)
y=2(1/2)x
c)
y=2x
d)
y=1/2(2)x
77.
Write the equation that represents the table below:
a)
y=1/2(4)x
b)
y=2(4)x
c)
y=4(2)x
d)
y=4(1/2)x
78.
What is the equation that represents the exponential function in the image below?
a)
y=3(½)x
b)
y=3(2)x
c)
y=(2)x
d)
y=2(3)x
79.
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
80.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?
a)
.08
b)
1.08
c)
.92
d)
8
81.

If you have $10, and your money doubles every year, how much money will you have in 10 years?

a)

$50

b)

$100

c)

$5120

d)

$10240

82.

A population of 1500 deer decreases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population.


Which function can be used to determine the number of deer, y, in this population at the end of t years?

a)

y=1500(1−0.015)ty=1500(1-0.015)^t

b)

y=1500(0.015)ty=1500(0.015)^t

c)

y=1500(1+0.015)ty=1500(1+0.015)^t

d)

y=1500(1.5)ty=1500(1.5)^t

83.

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month.


At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

a)

f(x)=417(1−0.0375)xf(x)=417(1-0.0375)^x

b)

f(x)=417(1−3.75)xf(x)=417(1-3.75)^x

c)

f(x)=417(1+0.0375)xf(x)=417(1+0.0375)^x

d)

f(x)=417(1+3.75)xf(x)=417(1+3.75)^x

84.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
85.
Is this exponential growth or decay?
a)
Growth
b)
Decay
c)
Linear

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