Quiz about Winter Break Activity

Question 1

Aaron received a $25 gift card for his birthday. He used it to download a game for $3.99 and some songs for $0.99 each.

The following inequality models the relationship among the quantities in this scenario where x represents the number of songs Aaron can afford to download:

Accepted Answer

$$25\ -0.99x\ge3.99$$

Answer

$$25<0.99x\ +3.99$$

Answer

$$25\ -0.99x\le3.99$$

Answer

$$25>0.99x\ +3.99$$

Question 2

In order to lure new customers to a credit card, a bank is offering an initial cash back award, plus cash back amounting to a percentage of the value of all purchases made with the card. If p is the value of all purchases made with the card and c is the amount of cash back, which of these equations does the graph represent?

Accepted Answer

c = 0.03p + 150

Answer

c = 0.3p + 150

Answer

c = 1.03p + 150

Answer

c = 1.3p + 150

Question 3

An agricultural researcher selected 8 chicken farms from across the state. The researcher recorded the number of hens and the number of eggs laid by those hens over a 24-hour period. The researcher then calculated a line of best fit for the data. The equation of the line of best fit was

y = 0.97x + 3.06.

where, x, represents the number of hens and, y, represents the number of eggs. Which statement is true?

y = 0.97x + 3.06.

where, x, represents the number of hens and, y, represents the number of eggs. Which statement is true?

Accepted Answer

0.97 represents the average number of eggs laid by a hen per day.

Answer

. 3.06 represents the average number of eggs laid by a hen per day.

Answer

0.97 represents the average number of hens that laid eggs per day.

Answer

3.06 represents the average number of hens that laid eggs per day.

Question 4

Each table below shows the time and distance Samantha and her friends traveled on four different road trips. In which table is there a linear relationship between time and distance?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 5

Three companies are offering different moving services in a neighborhood of the town. The three functions g_(x), h_(x)and p_(x)represent the amount of houses they can move in total, in x hours respectively.

g_(x)= 0.5x

h_(x)= 1.7x

p_(x)= 3.5x

Create the function C_(x₎ that represent the total of houses can be moved in the neighborhood after x hours

Accepted Answer

C_(x) = 5.7x

Answer

C_(x) = 10.2x

Answer

C_(x) = 5.2x

Answer

C_(x) = 2.3x

Question 6

Juan solved an equation and his work is shown bellow

Steps:

Equation given: 10x=-2(-4x-5)

Step1: 10x=8x+10

Step2: ________

Step3: x=5

In step 2 Juan uses the subtraction property of equality. Create the equation that could show the missing step.

Accepted Answer

2x=10

Answer

X=10

Answer

18x=10

Question 7

Mr. Fernandez uses the function f_(x)to determine the total number of questions on IXL the students can complete after x hours. If the students can complete 4000 questions in 200 hours, which of the following equations is correct?

Accepted Answer

f₍₂₀₀₎=4000

Answer

f₍₂₀₀₎=300

Answer

f₍₃₀₀₎=200

Answer

f₍₄₀₀₀₎=200

Question 8

Newton's law of universal gravitation is usually stated as that every particle attracts every other particle in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. The equation for universal gravitation is: $$F=G\ \frac{m_1m_2\ }{r^2}$$ where F is the gravitational force acting between two objects,

m₁ and m₂ are the masses of the objects,

r is the distance between the centers of their masses, and G is the gravitational constant.

Solve for m₁

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 9

Solve the inequality shown bellow

$$\frac{1}{8}x\ +\ 25\ \le\ 80\ +\ \frac{3}{4}x$$

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Answer

E.

Question 10

Jean solve the equation shown. Match the statements and reasons to show how Jean could have to solver the equation.

Accepted Answer

Order Jeans applied the properties:

1. Equation is given

2. Distributive property of equality

3. Subtraction Property of equality

4. Multiplication property of equality.

Answer

Order Jeans applied the properties:

1. Equation is given

2. Combining like terms

3. Addition Property of equality

4. Multiplication property of equality.

Answer

Order Jeans applied the properties:

1. Equation is given

2. Distributive property of equality

3. Subtraction Property of equality

4. Combining like

Answer

Order Jeans applied the properties:

1. Equation is given

2. Distributive property of equality

3. Multiplication property of equality

4. Subtraction Property of equality

Question 11

A relation is graphed on the coordinate grid.

Which statement about the relation is true?

Accepted Answer

The relation is not a function because both 0 and -3 are outputs for the input 1

Answer

The relation is not function because is not continuous.

Answer

The relation is a function because the x-values of the points are consecutives integers.

Answer

The relation is a function because there is only one output for each input.

Question 12

Solve for x: $$18\ +\ 3\left(3.5x+5\right)\ =\ 12$$

Accepted Answer

x=-2

Answer

x=3

Answer

$$x=\frac{1}{3}$$

Answer

$$x=-\frac{1}{3}$$

Question 13

A system of equation is shown. What values of x and y satisfy this system?

2x+3y=24

5x+7y=58

Accepted Answer

x=6y=4

Answer

x=-3y=2

Answer

x=3y=-2

Answer

x=-3y=-2

Question 14

Select which relations are not functions?

Accepted Answer

(2,2); (-2,2.8); (3,3); (4.2,4.2);(5,5);(-5,3); (7,7);(4.2,3)

Accepted Answer

Option C is correct

Accepted Answer

Option E is correct

Answer

(1,3); (2,3); (5,3); (8,3);(10.8,3);(6,3); (5.3,3);(12,3)

Answer

D.

Question 15

Select all the situations that can be modeled with a linear function.

Accepted Answer

A taxi charge an initial fee of $2.00, and $1.50 for each additional mile.

Accepted Answer

An airplane flying at an altitude of 33,000 feet descends at a rate of 20 feet per minute.

Accepted Answer

A pizza restaurant charges $5.50 per pizza, and $0.50 for each additional topping.

Answer

The population in a town decreases by 15% each year.

Answer

A cell doubles in size every 2 hours.

Question 16

The graph shows the value of two different shares of stock over a period of 8 years. Select all that apply to this situation.

Accepted Answer

The value of Stock B is going down over time. The initial value of Stock B is higher than the initial value of Stock A. However, after about 2 years, the value of Stock A becomes more than the value of Stock B.

Accepted Answer

The model shows that the graph of Stock B is an exponential decay model with the initial value of $12.00 and a decay factor of 0.75.

Accepted Answer

The model shows that the graph of Stock A is an exponential growth model with the initial value of $4.00 and a growth factor of 1.25.

Answer

The model shows that the graph of Stock A is an exponential growth model with the initial value of $4.00 and a growth factor of 0.75.

Answer

The model shows that the graph of Stock B is an exponential decay model with the initial value of $12.00 and a decay factor of 1.25.

Question 17

A bathtub is draining at a constant rate. The amount of water ,in litters, left in the bathtub after x min is represented by expression shown.

250-5x

What does 5 represent?

Accepted Answer

The number of litters of water drained each minutes

Answer

The total of minutes required to drain all water from the bathtub

Answer

The number of litters left in the bathtub after x minutes

Answer

The number of litters of water in the bathtub before it drains

Question 18

The functions f_(x) and g_(x) are both linear. f_(x)=3x+6 and g_(x)has a slope of 6 and y-intercept of 3.

Which statement about f_(x) and g_(x)is correct?

Accepted Answer

the two functions intercept, and the value of f₍₀₎ is greater than the value of g_(0).

Answer

The two functions represent parallel lines

Answer

The two functions represent same lines

Answer

the two functions intercept, and the value of f₍₀₎ is less than the value of g_(0).

Question 19

Meredith is purchasing a new toilet for her home. Toilet A costs $149 and uses approximately 380 gallons of water per month. Toilet B costs $169 and uses approximately 300 gallons of water per month. Water costs $2.75 per 1000 gallons.

Write a system of equations that models this situation.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 20

Question 20.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 21

Question 21.

Accepted Answer

A

Accepted Answer

D

Answer

B

Answer

C

Answer

E

Question 22

Select all of the values of a correlation coefficient that suggest a strong linear relationship between two variables.

Accepted Answer

0.8

Accepted Answer

-0.9

Answer

0.4

Answer

0

Answer

-0.1

Question 23

Question 23.

Accepted Answer

Strong, Increase

Answer

Strong, Decrease

Answer

Weak, Increase

Answer

Weak, Decrease

Question 24

The scatter plot shows data collected from an experiment.

Which linear function best fits the data represented by the scatter plot?

Accepted Answer

$$y=\frac{1}{2}x+2$$

Answer

$$y=\frac{2}{3}x$$

Answer

$$y=\frac{3}{2}x+2$$

Answer

y=2x

Question 25

Question 25.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 26

Use the properties of rational and irrational numbers to answer each question. Assume that only nonzero numbers are used.

Which of the statements is true?

Accepted Answer

The product of two irrational numbers is sometimes rational.

Answer

The sum of two irrational numbers is always irrational.

Answer

The product of a rational number and an irrational number is sometimes rational.

Answer

The sum of two rational numbers is sometimes irrational.

Question 27

Question 27.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 28

The tables below show the values of four different functions for given values of x.

Which table represents a linear function?

Accepted Answer

f(x)

Answer

g(x)

Answer

h(x)

Answer

k(x)

Question 29

Funny Mac sells hamburgers for $4.00 each and cheeseburgers for $5.00 each.

The equation 4x + 5y = 20 describes the number of hamburgers and cheeseburgers a family can buy for $20.00.

Find the x-intercept and explain what it represents.

Accepted Answer

The x-intercept is 5, and it represents the number of hamburgers a family can buy when they purchase no cheeseburgers.

Answer

The x-intercept is 4, and it represents the number of cheeseburgers a family can buy when they purchase no hamburgers.

Answer

The x-intercept is 5, and it represents the number of cheeseburgers a family can buy when they purchase no hamburgers.

Answer

The x-intercept is 4, and it represents the number of hamburgers a family can buy when they purchase no hamburgers.

Question 30

The figure shows the graphs of the functions y = f(x) and y = g(x). The four indicated points all have integer coordinates. If g(x)=f(x)+k, what is the value of k?

Accepted Answer

k=-2

Answer

k=2

Answer

k=1

Answer

k=-1

Question 31

Mr. Purcell bought 5 tickets to a puppet show and spent $29. He bought a combination of child tickets for $5 each and adult tickets for $7 each. Which system of equations below will determine the number of adult tickets, a, and the number of child tickets, c, he bought?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 32

Joshua is making home-made cards to send to friends and family and to sell at the local craft fair. This scatter plot shows the total number of cards he had made after each hour he worked on the task.

Using this information, what is the best prediction of the number of cards Joshua can make in 11 hours?

Accepted Answer

39

Answer

54

Answer

19

Answer

29

Question 33

Make a scatter plot of the data. Sketch a line that appears to best fit the data. Then write the equation of the line.

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 34

Which graph represents data used in a linear regression that produces a correlation coefficient closest to -1?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 35

The graph of a system of inequalities is shown.

Create the system of inequalities that is represented by the graph.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 36

The graph below shows the total number of fish that a fisherman caught over a 5- week time period.

What was the average rate of change in the number of fish caught per week between weeks 2 and 5?

Accepted Answer

About 13 fish per week

Answer

About 18 fish per week

Answer

About 32 fish per week

Answer

About 40 fish per week

Question 37

One cup of coffee is being cooled while another is being heated. Their temperatures have been recorded with respect to time, and graphed on the coordinate plane. Select the ordered pair that is the best approximation of when the two cups of coffee have reached the same temperature.

Accepted Answer

(1.6, 2.2)

Answer

(1.5, 2)

Answer

(1.5, 2.2)

Answer

(1.6, 2)

Question 38

An internet business sells U.S. flags for $16.95 each, plus $2.50 shipping per flag. Shipping is free, however, on orders where more than $100.00 of flags are purchased. Which correctly shows the number of flags f that must be purchased to get free shipping?

Accepted Answer

19.45f>100

Answer

16.95f=100

Answer

16.95f>100

Answer

16.95f+2.50>100

Question 39

Two friends went to a restaurant and ordered one plain pizza and two sodas. Their bill totaled $15.95. Later that day, five friends went to the same restaurant. They ordered three plain pizzas and each person had one soda. Their bill totaled $45.90.

Write and solve a system of equations to determine the price of one plain pizza.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 40

Mr. Frankel bought 5 tickets to a puppet show and spent $29. He bought a combination of child tickets for $5 each and adult tickets for $7 each. Which system of equations below will determine the number of adult tickets, a, and the number of child tickets, c, he bought?

Accepted Answer

7a+5c=29

a+c=5

Answer

a=c-7

7a+5c=29

Answer

5a+5c=34

a+c=5

Answer

a+c=145

a+c=5

Question 41

Zoe plans to start a craft business. She also wants to take classes to learn how to do new crafts. She has no more than 40 hours a week for her business and classes. She plans to work at least 30 hours a week at her business and to spend between, 2 and 6 hours attending classes. She decides that working at her business is three times as valuable as taking classes. Find the best way for Zoe to split her time between her business and classes.

Accepted Answer

38 hours on her business and 2 hours attending classes

Answer

2 hours on her business and 38 hours attending classes

Answer

38 hours on her business and 38 hours attending classes

Answer

2 hours on her business and 2 hours attending classes

Question 42

Question 42.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 43

Miller ride his bicycle at a constant average speed. He finds that when he rides his bike for 5 hours, he rides 28 more milages than when she rides for only 3 hours. Which equations model the situation, where x, is the average speed in miles per hour, that Miller rides her bicycle?

Accepted Answer

5x=3x+28

Answer

5x=32

Answer

5= 3+28x

Answer

5x+3=28

Question 44

What is the best equation to model the line that best fit the shown on the graph.

Accepted Answer

f_(x) = 10x + 137

Answer

f_(x) = 150 - 10x

Answer

f_(x) = 10x + 150

Answer

f_(x) = - 10x + 137

Question 45

A basketball game sells admission tickets for $5.00 on Wednesday nights. At capacity, the theater holds 500 customers. The function B(n) = 5n represents the amount of money the theater takes in on Wednesday nights, where n is the number of customers. What is the domain of B(n) in this context?

Accepted Answer

All non-negative integers less than or equal to 500

Answer

All whole numbers

Answer

All non-negative integers that are multiples of 5

Answer

All non-negative rational numbers

Question 46

The function h(p) represents the cost for a company to manufacture p posters. What is the domain of the function?

Accepted Answer

All non-negative integers

Answer

All integers

Answer

All real numbers

Answer

All positive rational numbers

Question 47

Which property is illustrated by the equation 6+(4+x)=6+(x+4)?

Accepted Answer

Commutative property of addition

Answer

Associative property of addition

Answer

Associative property of multiplication

Answer

Distributive property

Question 48

A Dealer pay to employees a base salary and also a commission, which is a percentage of what they pay. Each month, if they sellers sales total s dollars, and they makes a total of 1000 + 0.5s dollars. What does 1000 represent?

Accepted Answer

They monthly base salary in dollars

Answer

They total monthly pay in dollars

Answer

They monthly commission in dollars

Answer

The amount of his monthly sales in dollars

Question 49

Jose and his two Sisters share a cell phone plan. The cell phone company charges a flat rate of $45 per month, which the three brothers share equally. In addition, the cell phone company charges 10 cents per megabyte of data downloaded. Each brother pays for his own downloaded data.

Jose's share of the current cell phone bill is $130. Which equation determines how many megabytes of data John downloaded?

Accepted Answer

15 + 10x = 130

Answer

45 + 10x = 130

Answer

45x + 10 + 130

Answer

15x + 10 = 130

Question 50

How much was Candice paid?

Accepted Answer

$$\frac{P-45}{3}=192\ ;\ She\ paid\ 621\ dollars$$

Answer

$$\frac{P+45}{3}=192\ ;\ She\ paid\ 600\ dollars$$

Answer

$$\frac{P}{3}-45=192\ ;\ She\ paid\ 621\ dollars$$

Answer

$$\frac{P}{3}+45=192\ ;\ She\ paid\ 600\ dollars$$

Question 51

Question 51.

Accepted Answer

$$x=-\frac{3}{2}$$

Answer

$$x=\frac{3}{2}$$

Answer

$$x=-\frac{2}{3}$$

Answer

$$x=\frac{2}{3}$$

Question 52

Juan is making birdhouses to sell at a craft show. The cost of making the birdhouses is $80 plus $6.25 per birdhouse. He will sell them for $16 each. Write and solve an inequality to find the number of birdhouses he must sell to make a profit.

Accepted Answer

80+6.25x<16x ;

9 birdhouses

Answer

80+6.25x>16 ;

7 birdhouses

Answer

80+6.25x<16 ;

9 birdhouses

Answer

80+6.25x>16x ;

8 birdhouses

Question 53

Which of the diagrams below represents a function from the set X to the set Y?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 54

Question 54.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 55

Question 55.

Accepted Answer

B

Accepted Answer

D

Answer

A

Answer

C

Answer

E

Question 56

Question 56.

Accepted Answer

A

Accepted Answer

C

Accepted Answer

E

Answer

B

Answer

D

Question 57

Angelina needs to buy replacement team uniforms and is looking at different prices. She has a budget of $300. She needs 18 pairs of pants and 12 shirts. Let x represent the cost of each pair of pants, and y represent the cost of each shirt. Which graph correctly shows the costs of pants and shirts Angelina can buy, if no tax is added?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 58

The function $$m_{\left(g\right)}$$ provides the number of miles a car can travel on g gallons of gas. The fuel tank holds 14 gallons which allows a maximum ride of 504 miles.

What is the domain of the function?

Accepted Answer

$$0\le g\le14$$

Answer

$$0\le g\le504$$

Answer

$$0\le m\le14$$

Answer

$$0\le m\le504$$

Question 59

A jewelry maker is designing a crown. The crown must have at least 45 gems, using only emeralds, rubies, and diamonds. The number of rubies must be 1 less than 3 times the number of emeralds. The number of diamonds must be 4 less than the number of rubies. Which inequality could the jewelry maker use to find the fewest number of emeralds, x, that can be placed on the crown?.

Accepted Answer

$$x+3x-1+3x-1-4\ge45$$

Answer

$$x-4+3x-1+x\ge45$$

Answer

$$3x-1+3x-4\ge45$$

Answer

$$3x-1+3x-1-4\ge45$$

Question 60

John and his three brothers share a cell phone plan. The cell phone company charges a flat rate of $90 per month, which the four brothers share equally. In addition, the cell phone company charges 25 cents per megabyte of data downloaded. Each brother pays for his own downloaded data.