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Worksheets

Project 800

Total questions: 51

Worksheet time: 2hrs 14mins

Name
Class
Date
1.

800.M.1

What is 10% of 470?

a)
47
b)
37
c)
57
d)
67
2.

800.M.1a

What is 15% of 320?

a)

48

b)

42

c)

32

d)
67
3.

800.M.1b

Oliver is saving money to buy a new video game. He has saved 470 dollars so far. What is 10% of his savings?

a)

47

b)

57

c)

37

d)
67
4.

800.M.2

Which equation has the same solution as the given equation?

4x+6=18

a)
8x - 2 = 14
b)
4x - 6 = 6
c)
2x + 3 = 9
d)
4x + 6 = 12
5.

800.M.2a

James is buying apples.

He finds that 4 apples and a $6 packaging fee cost $18 in total.

Which equation represents the cost of just the apples?

a)

4x + 3 = 18

b)

4x + 6 = 12

c)

4x = 12

d)

4x = 18

e)

6x + 9 = 18

6.

800.M.2b

James is buying apples. Each apple costs $4, and he has a $6 discount. If his total bill is $18, how many apples did he buy?

a)
6
b)
5
c)
4
d)
7
e)
8
7.

800.M.3

The total cost, in dollars, to rent a surfboard consists of a $25 service fee and a $10 per hour rental fee. A person rents a surfboard for t hours and intends to spend a maximum of $75 to rent the surfboard. Which inequality represents this situation?

a)
25 + 10t ≤ 75
b)
25 + 10t < 75
c)
10t - 25 ≤ 75
d)
10t + 25 = 75
e)
25 + 10t ≥ 75
8.

800.M.3a

The total cost, in dollars, to rent a bicycle consists of a $20 service fee and a $15 per hour rental fee. A person rents a bicycle for h hours and intends to spend a maximum of $95 to rent the bicycle. Which inequality represents this situation?

a)

20 + 15h ≤ 95

b)

20 + 15h < 95

c)

15h - 20 ≤ 95

d)

15h + 20 = 95

e)

20 + 15h ≥ 95

9.

800.M.3b

The total cost, in dollars, to rent a kayak consists of a $25 service fee and a $10 per hour rental fee. A person rents a kayak for h hours and intends to spend a maximum of $85 to rent the kayak. Which inequality represents this situation?

a)

25 + 10h ≤ 85

b)

25 + 10h < 85

c)

10h - 25 ≤ 85

d)

10h + 25 = 85

e)

25 + 10h ≥ 85

10.

800.M.4

The function of g is defined by g(x) = x2+9x^2+9 . For which value of x is g(x) = 25?

a)
-5
b)
-3
c)
3
d)
5
e)

4

11.

800.M.4a

The function of h is defined by h(x) = x2+16x^2+16 . For which value of x is h(x) = 52?

a)

-5

b)

-4

c)

4

d)

6

e)

5

12.

800.M.4b

The function of f is defined by f(x) = x2+4x^2+4 . For which value of x is f(x) = 29?

a)

-4

b)

-2

c)

2

d)

4

e)

5

13.

800.M.5

Each face of a fair 14-sided die is labeled with a number from 1 through 14, with a different number appearing on each face. If the die is rolled one time, what is the probability of rolling a 2?

a)

2/14

b)

12/14

c)

13/14

d)

1/7

e)
1/14
14.

800.M.5a

Each face of a fair 20-sided die is labeled with a number from 1 through 20, with a different number appearing on each face. If the die is rolled one time, what is the probability of rolling a 5?

a)

1/20

b)

2/20

c)

5/20

d)

19/20

e)

1/10

15.

800.M.5b

Each face of a fair 20-sided die is labeled with a number from 1 through 20, with a different number appearing on each face. If the die is rolled one time, what is the probability of rolling a multiple of 3?

a)

6/10

b)

5/20

c)

6/20

d)

4/20

e)

3/20

16.

800.M.6a

A machine produces widgets at a constant rate of 50 widgets per minute. At what rate, in widgets per hour, does the machine produce the widgets including the unit?

(a)  

17.

800.M.6b

A machine produces gadgets at a constant rate of 75 gadgets per minute. At what rate, in gadgets per hour, does the machine produce the gadgets including the unit?

(a)  

18.

800.M.7

The function f is defined by the equation f(x)=7x+2. What is the value of f(x) when x=4?

(a)  

19.

800.M.7a

The function g is defined by the equation g(x)=5x+3. What is the value of g(x) when x=6?

(a)  

20.

800.M.7b

The function h is defined by the equation h(x)=4x+7. What is the value of h(x) when x=5?

(a)  

21.

800.M.8

A teacher is creating an assignment worth 70 points. The assignment will consist of questions worth 1 point and questions worth 3 points. Which equation represents this situation, where x represents the number of 1-point questions and y represents the number of 3-point questions?

a)

4xy = 70

b)

4(x+y)= 70

c)

3x + y = 70

d)
x + 3y = 70
e)
x + y = 70
22.

800.M.8a

A student is designing a quiz worth 50 points. The quiz will include questions worth 2 points and questions worth 5 points. Which equation represents this situation, where a represents the number of 2-point questions and b represents the number of 5-point questions?

a)

2a + 5b = 50

b)

5a + 2b = 50

c)

a + b = 50

d)

2a - 5b = 50

e)

a - 5b = 50

23.

800.M.8b

A student is planning a test worth 60 points. The test will include questions worth 3 points and questions worth 6 points. Which equation represents this situation, where x represents the number of 3-point questions and y represents the number of 6-point questions?

a)

3x + 6y = 60

b)

6x + 3y = 60

c)

x + y = 60

d)

3x - 6y = 60

e)

x - 6y = 60

24.

800.M.9

Right triangles LMN and PQR are similar, where L and M correspond to P and Q, respectively. Angle M has a measure of 53 degrees. What is the measure of angle Q?

a)
30 degrees
b)
60 degrees
c)
53 degrees
d)
45 degrees
e)
90 degrees
25.

800.M.9a

David and Charlotte are building ramps for a skateboard park. They create two right triangles, PQR and STU, that are similar, where P and Q correspond to S and T, respectively. Angle Q has a measure of 45 degrees. What is the measure of angle T?

a)

45 degrees

b)

55 degrees

c)

35 degrees

d)

60 degrees

e)

90 degrees

26.

800.M.9b

Scarlett and Priya are building two similar right-angled ramps, where the base of Scarlett's ramp corresponds to the base of Priya's ramp. The angle at the base of Scarlett's ramp measures 37 degrees. What is the measure of the corresponding angle at the base of Priya's ramp?

a)

37 degrees

b)

53 degrees

c)

45 degrees

d)

60 degrees

e)

90 degrees

27.

800.M.10

y = -3x

4x+y=15

The solution to the given system of equations is (x,y). What is the value of x?

a)

1

b)

5

c)

15

d)

45

28.

800.M.10a

y = 2x

3x - y = 12

The solution to the given system of equations is (x,y). What is the value of x?

a)

2

b)

12

c)

36

d)

24

29.

800.M.10b

Emma is planning a party and wants to buy twice as many balloons as the number of guests she invites.

She also knows that the total number of balloons and three times the number of guests equals 14.

What is the number of guests Emma is inviting?

a)

2

b)

4

c)

36

d)

24

30.

800.M.11

What is the equation of the line of best fit?

a)

y = -25x + 170

b)

y = -5/8x + 170

c)

y = 25x + 170

d)

y = 5/8x + 170

31.

800.M.11a

Kindly match the correct correlation to the scenario

"The amount of time since a movie was released and the number of tickets sold"

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

32.

800.M.11b

Kindly match the correct correlation to the scenario

"How tall a person is and how fast they drive"

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

33.

800.M.12

a)

One

b)

Two

c)

Three

d)

Four

34.

800.M.12a

What are the x-intercept(s) of the parabola shown on the grid?

a)

(-1,0) and (-3,0)

b)

(1,0) and (3,0)

c)

(0,-3)

d)

(0,1) and (0,3)

35.

800.M.12b

Name the x-intercept(s)?

a)
(0, 0)
b)
(2, 4)
c)
(0, 0) and (0, 4)
d)
(0, 0) and (4, 0)
36.

800.M.13

Caroline bought party hats and cupcakes for $71. Each package of party hats cost $3, and each cupcake cost $1. If Caroline bought 10 packages of party hats, how many cupcakes did she buy?

Kindly enter numerical value only

(a)  

37.

800.M.13a

David bought balloons and candies for $86. Each pack of balloons cost $5, and each candy cost $2. If David bought 8 packs of balloons, how many candies did he buy?

Kindly enter numerical value only

(a)  

38.

800.M.13b

Emma bought notebooks and pens for $74. Each notebook costs $6, and each pen costs $3. If Emma bought 7 notebooks, how many pens did she buy?

Round to the nearest whole number

Kindly enter numerical value only

(a)  

39.

800.M.14

What is one of the factors to the given equation: z2+10z24z^2+10z-24

Kindly enter response with beginning with "z=" and exclude spaces

(a)  

40.

800.M.14a

What is one of the factors to the given equation: x25x+6x^2-5x+6

Kindly enter response with beginning with "x=" and exclude spaces

(a)  

41.

800.M.14b

What is one of the factors to the given equation: x27x+10x^2-7x+10

Kindly enter response with beginning with "x=" and exclude spaces

(a)  

42.

800.B.1

What percent of those that prefer Instagram are

girls?

a)

45%

b)

59%

c)

22%

d)

52%

43.

800.M.15

Bacteria are growing in a liquid growth medium. There were 300,000 cells per milliliter during an initial observation. The number of cells per milliliter doubles every 3 hours. How many cells per milliliter will there be 15 hours after the initial observation?

a)

1,500,000

b)

2,400,000

c)

4,500,000

d)

9,600,000

44.
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
45.
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
46.

The function to find the value of a car after t years is given by v(t) = 24,000(.75)t Which of the following statements is true?

a)

The starting value of the car was $24,000.

b)

The y-values of the graph increase as the x-values increase.

c)

The value of b indicates this is an exponential decay situation.

47.
Some banks charge a fee for a savings account that is left inactive for an extended period of time. The equation y = 5000(0.98)x represents the amount remaining, y, of one account that was left inactive for a period of x years. What does the number 5000 represent in this situation?
a)
A fee charged for an inactive account
b)
The percent of money in the account after x years
c)
The amount of money in the account initially
d)
The amount of money in the account after x years
48.
An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory experiment. The colony is decreasing by 14.9% per minute. Which function can be used to model the number of bacteria in the colony after x minutes?
a)
f(x) = 12000(1 + 14.9)x
b)
f(x) = 12000(1 - 14.9)x
c)
f(x) = 12000(1 + 0.149)x
d)
f(x) = 12000(1 - 0.149)x
49.

Hint: Where does the graph start?

a)

The graph represents an exponential growth situation.

b)

Eventually, the car will be worth exactly $0.

c)

The starting value of the car was $12,000.

d)

The range for the situation is y ≥ 0.

50.
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(3.75)x
b)
f(x) = 417(0.0375)x
c)
f(x) = 417(1.0375)x
d)
f(x) = 417(1.375)x
51.
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)t
b)
y = 1500(0.015)t
c)
y = 1500(1 + 0.015)t
d)
y = 1500(1.5)t