Question 1

The speed of light in a vacuum is 299,792,458 meters per second. Which number, written in scientific notation, is the BEST approximation of the speed of light?

Accepted Answer

$3.0	imes10^8$ meters per second

Answer

$3.0	imes10^7$ meters per second

Answer

$0.3	imes10^7$ meters per second

Answer

$0.3	imes10^8$ meters per second

Question 2

The graph of a system of linear equations is shown below.

Which ordered pair is the BEST estimate for the solution of this system of linear equations?

Accepted Answer

$(-3,2)$

Answer

$(6,8)$

Answer

$(-6,-2)$

Answer

$(4,-4)$

Question 3

Jenny wants to rent a truck for one day. She contacted two companies. Laguna's Truck Rentals charges $$$20$$ plus $$$2$$ per mile. Salvatori's Truck Rentals charges $$$3$$ per mile. After
how many miles will the total cost for both companies be the same?

Accepted Answer

20

Answer

60

Answer

4

Answer

6

Question 4

Which exponential expression is equal to $2^{-5}\cdot2^8?$

Accepted Answer

$\frac{2^2}{2^{-1}}$

Answer

$\frac{2^{-2}}{2^{-1}}$

Answer

$(2^{-1})^3$

Answer

$(2^3)^{-1}$

Question 5

During an experiment, the temperature of a substance increased at a constant rate of three degrees Celsius $(^\circ	ext C)$per hour. Which graph represents this relationship?

Accepted Answer

https://uploads.quizalize.com/9df1f44e-e496-4ab3-8fb3-b6911dce96f7/question/2fa5ce3231bc25f7cc6bfd0d247a06a6d6159670.png

Answer

https://uploads.quizalize.com/9df1f44e-e496-4ab3-8fb3-b6911dce96f7/question/719b39eb6cc171331837f04c76206c5810e748e6.png

Answer

https://uploads.quizalize.com/9df1f44e-e496-4ab3-8fb3-b6911dce96f7/question/8d9d1b40212afaaf08e62c144a215ef45d9dc377.png

Answer

https://uploads.quizalize.com/9df1f44e-e496-4ab3-8fb3-b6911dce96f7/question/111127905209319921db31c64c1cbb96bb8e6c98.png

Question 6

A line contains the points $(4,2)$ and $(0,-1).$ What is the equation of the line?

Accepted Answer

$y=\frac{3}{4}x-1$

Answer

$y=2x-6$

Answer

$y=\frac{1}{4}x+1$

Answer

$y=\frac{4}{3}x-\frac{10}{3}$

Question 7

A system of equations is shown below.

Which statement about the ordered pair $(-6,8)$ is true?

Accepted Answer

It is the only solution to the system.

Answer

It is one of many solutions to the system.

Answer

It is not a solution to either equation.

Answer

It is a solution to the first but not the second equation.

Question 8

What is the equation of the line that passes through point $(4,12)$ and has a $y$-intercept of $-2$?

Accepted Answer

$y=\frac{7}{2}x-2$

Answer

$y=\frac{5}{2}x-2$

Answer

$y=2x-2$

Answer

$y=6x-2$

Question 9

Which statement explains why the point $(-2,2)$ is the solution to the system of linear equations shown below?

Accepted Answer

It is the only point that satisfies both equations simultaneously.

Answer

It is one of many points that satisfies both equations simultaneously.

Answer

It lies on the graph of only one of the equations.

Answer

It lies in the second quadrant of the coordinate plane.

Question 10

A certain human red blood cell has a diameter of 0.000007 meters. Which expression represents this diameter, in meters, in scientific notation?

Accepted Answer

$7	imes10^{-6}$

Answer

$7	imes10^6$

Answer

$7	imes10^{-5}$

Answer

$7	imes10^5$

Question 11

Line $n$ is shown on the grid below.

Line $q$ will be graphed on the same grid. The only solution to the system of linear equations formed by lines $n$ and $q$ occurs when $x =\frac{3}{2}$ and $y=0.$ Which equation could represent line q?

Accepted Answer

$y=\frac{4}{3}x-2$

Answer

$y=-\frac{5}{2}x+1$

Answer

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

Answer

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

Question 12

What is the solution to the equation shown below?
$\quad\frac{2}{3}x + 5 = 1$

Accepted Answer

$x = -6$

Answer

$x = -4.5$

Answer

$x = 9$

Answer

$x = 4$

Question 13

A cook uses 2.5 cups of flour for each ounce of butter in a recipe. Which graph represents the relationship between the amount of flour and the amount of butter in the recipe?

Accepted Answer

https://uploads.quizalize.com/9df1f44e-e496-4ab3-8fb3-b6911dce96f7/question/758d95821da288aeb7c746650d8d6259a8f3ce88.png

Answer

https://uploads.quizalize.com/9df1f44e-e496-4ab3-8fb3-b6911dce96f7/question/9cfd58a5462dc58f6453a8aea9265fa037fa238f.png

Answer

https://uploads.quizalize.com/9df1f44e-e496-4ab3-8fb3-b6911dce96f7/question/a5b4f4e88a0f8b55048fbff6479ce3fb0d966f09.png

Answer

https://uploads.quizalize.com/9df1f44e-e496-4ab3-8fb3-b6911dce96f7/question/474598f01af9bfc48ab09ed25ed5a800e00529f2.png

Question 14

Two rectangles are shown below. Rectangle P has a perimeter of 20 inches. Rectangle Q has a perimeter of 30 inches.

What are the values of $j$ and $h?$

Accepted Answer

$j = 2$ and $h = 4$

Answer

$j= 10$ and $h=4$

Answer

$j = 9.5$ and $h = 6.5$

Answer

$j = 3$and $h = 3$

Question 15

What is the value of $n$ in the 24 equation shown below?
$\quad2^2	imes 2^n = (2^4)^3$

Accepted Answer

10

Answer

12

Answer

6

Answer

5

Question 16

Which expression is equivalent to $2^2\cdot\frac{2}{2^4}?$

Accepted Answer

$2^{-1}$

Answer

$2^6$

Answer

$2^{-2}$

Answer

$2^7$

Question 17

What is the solution to the system of equations below?

$\quad2x+3y=6$
$\quad x-3y=9$

Accepted Answer

$\big[5,-\frac{4}{3}\big]$

Answer

$\big[8,-\frac{1}{3}\big]$

Answer

$\big[-1,\frac{8}{3}\big]$

Answer

$(-3,-4)$

Question 18

What is the solution to the equation below?
$\quad5c + 4 = 2(c - 5)$

Accepted Answer

$c = -4\frac{2}{3}$

Answer

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

Answer

$c = -2$

Answer

$c = -3$

Question 19

The amount of revenue in dollars, $y,$ that Jason receives from selling $x$ posters is given by the equation $y = 4x.$ The cost of producing $x$ posters is given by the equation $y = \frac{1}{2}x + 280.$ How many posters does Jason need to sell so that the cost and revenue are equal?

Accepted Answer

$80$

Answer

$320$

Answer

$140$

Answer

$40$

Question 20

The mass of a dust particle is approximately $7.5 	imes 10^{-10}$ kilograms and the mass of an electron is $9.1 	imes 10^{-31}$ kilograms. Approximately how many electrons have the same mass as one dust particle?

Accepted Answer

$8.24 	imes 10^{20}$

Answer

$1.21 	imes 10^{21}$

Answer

$1.21 	imes 10^{20}$

Answer

$8.24 	imes 10^{21}$

Question 21

Which expression is equivalent to $(4.5 	imes 10^2) + (6.0 	imes 10^3) $and written in scientific notation?

Accepted Answer

$6.45 	imes 10^3$

Answer

$10.5 	imes 10^5$

Answer

$1.05 	imes 10^6$

Answer

$2.7 	imes 10^6$

Question 22

What value for the constant, $h,$ in the equation shown below will result in an infinite number of solutions?
$\quad 6x + 18 = h(3x + 9)$

Accepted Answer

$2$

Answer

@-3$

Answer

$3$

Answer

$-2$

Question 23

The graphs below show the relationship between elapsed time and distance traveled by airplane A and airplane B after each airplane reaches its cruising speed.

Airplane C is traveling at a different cruising speed. The equation $y =\frac{27}{6}x$ can be used to determine $y,$ the number of miles traveled by airplane $	ext C$ in $x$ minutes. Which statement accurately compares the cruising speed of airplane $	ext C$ to airplanes $	ext A$ and $	ext B?$

Accepted Answer

The cruising speed of airplane $	ext C$ is less than the cruising speed of airplane $	ext A$ and greater
than the cruising speed of airplane $	ext B.$

Answer

The cruising speed of airplane $	ext C$ is less than the cruising speeds of both airplanes $	ext A$ and $	ext B.$

Answer

The cruising speed of airplane $	ext C$ is greater than the cruising speed of airplane $	ext A$ and
less than the cruising speed of airplane $	ext B.$

Answer

The cruising speed of airplane $	ext C$ is greater than the cruising speeds of both airplanes
$	ext A$ and $	ext B.$

Question 24

City $X$ has a population of $3 	imes 10^5$  and City $Y$ has a population of $6 	imes 10^6$. Which statement correctly describes the relationship between the populations of City $X$ and City $Y$?

Accepted Answer

The population of City $Y$ is 20 times the population of City $X$.

Answer

The population of City $X$ is 300,000 less than the population of City $Y$.

Answer

The population of City $X$ is 3,000,000 less than the population of City $Y$.

Answer

The population of City $Y$ is 2 times the population of City $X$.

Question 25

A system of equations is shown below.
$5x + 2y = -15$
$2x - 2y = -6$
What is the solution to the system of equations?

Accepted Answer

( -3, 0)

Answer

(-3,6)

Answer

(0, -3)

Answer

(6,-3)

Question 26

A radar device has an antenna that revolves at a constant rat e. The graph shows the number of revolutions the device will make over time.
Which table shows the data for an antenna that revolves at exactly twice the rate of the antenna described in the graph?

Accepted Answer

https://uploads.quizalize.com/76c424ca-0977-3907-4f76-c4fa231789d7/question/4f70443a-8a8d-3266-bed9-dd96237b317a.png

Answer

https://uploads.quizalize.com/76c424ca-0977-3907-4f76-c4fa231789d7/question/f410cbd0-002d-eccd-7e26-7ca3c4d06936.png

Answer

https://uploads.quizalize.com/76c424ca-0977-3907-4f76-c4fa231789d7/question/32cb7727-de47-1b69-55d8-7a1a44c01738.png

Answer

https://uploads.quizalize.com/76c424ca-0977-3907-4f76-c4fa231789d7/question/05446646-6497-735a-ecf8-ee76fc578fc3.png

Question 27

At a local basketball game, all tickets are the same price and all souvenirs are the same price. Mr. Smith bought 2 tickets to this basketball game and 1 souvenir for a total of $$\$17.25$$. Ms. Lockhart bought 5 tickets to the same game and 2 souvenirs for a total of $$\$42.00$$. How much was a ticket to this game?

Accepted Answer

$7.50

Answer

$2.25

Answer

$8.50

Answer

$9 75

Question 28

Kevin and Christy both saved money for their class trip. Kevin saved the same amount each week. The total amount that Kevin saved at the end of every two weeks is shown in the table below.
Christy's savings can be modeled by the equation $y = 26x$, where $y$ is the total amount of money saved in $x$ weeks. Which statement correctly compares the rates at which Kevin and Christy saved money?

Accepted Answer

Christy saved $3 per week more than Kevin.

Answer

Kevin saved $10 per week more than Christy.

Answer

Kevin saved $20 per week more than Christy.

Answer

Christy saved $18 per week more than Kevin.

Question 29

The points $(4, 1)$ and $(x, -6)$ lie on the same line. If the slope of the line is 1, what is the value of $x$?

Accepted Answer

$x=-3$

Answer

$x=11$

Answer

$x=3$

Answer

$x=9$

Question 30

Two cells are viewed and measured under a microscope. The approximate diameter of each cell is listed below.
• cell $P:5.0 	imes 10^{-4}$ meters
• cell $Q:3.0 	imes 10^{-5}$ meters
What is the approximate difference, in meters, between the diameter of cell $P$ and the diameter of cell $Q$?

Accepted Answer

$4.7 	imes 10^{-4}$

Answer

$4.7 	imes 10^{-5}$

Answer

$2.0 	imes 10^{-5}$

Answer

$2.0 	imes 10^{-4}$

Question 31

What is the value of the expression shown below?
$\frac{1.6	imes10^5}{0.2	imes10^2}$

Accepted Answer

$8	imes10^3$

Answer

$0.8	imes10^3$

Answer

$0.8	imes10^7$

Answer

$8	imes10^7$

Question 32

Which equation represents the line shown on the coordinate plane below?

Accepted Answer

$y=-\frac{1}{4}x$

Answer

$y=-4x$

Answer

$y=4x$

Answer

$y=\frac{1}{4}x$

Question 33

The closest distance between Earth and Mars is approximately miles $3.39	imes10^7\,	ext{miles}.$  The fastest rocket leaving Earth travels at an average speed of approximately $3.6	imes 10^4$miles per hour. At that rate, which expression could be used to determine the approximate number
of hours it would take the rocket to travel that distance?

Accepted Answer

$(3.39	imes10^7)  \div (3.6	imes 10^4)$

Answer

$(3.6	imes 10^4)\div (3.39	imes10^7)$

Answer

$(3.6	imes 10^4)-(3.39	imes10^7)$

Answer

$(3.39	imes10^7  - (3.6	imes 10^4)$

Question 34

Which system of equations has no solution?

Accepted Answer

$\Bigg\{\begin{matrix}7x-2y=9\7x-2y=13\end{matrix}$

Answer

$\Bigg\{\begin{matrix}3x+4y=5\6x+8y=10\end{matrix}$

Answer

$\Bigg\{\begin{matrix}3x+6y=1\x+y=0\end{matrix}$

Answer

$\Bigg\{\begin{matrix}2x-y=-11\-2x+y=11\end{matrix}$

Question 35

A line is graphed on the coordinate plane below.

Line $y=-x+2$ will be graphed on the same coordinate plane to create a system of equations. What is the solution to that system of equations?

Accepted Answer

$(4,-2)$

Answer

$(2,-4)$

Answer

$(-2,4)$

Answer

$(0,-4)$

Question 36

Which proportional relationship has the greatest rate of change?

Accepted Answer

$y=7x$

Answer

https://uploads.quizalize.com/9df1f44e-e496-4ab3-8fb3-b6911dce96f7/question/7c7a891fdb37a11dc5ecdea0a9fbe3b650223085.png

Answer

https://uploads.quizalize.com/9df1f44e-e496-4ab3-8fb3-b6911dce96f7/question/1dc65fcddba0db4ccf5cf2355fc593e6c9109fb7.png

Answer

The value of $y$ increases by $12$ for every increase of in the value of $x$.

Question 37

Which expression is equivalent to $(5^{-2})^5	imes5^4 ?$

Accepted Answer

$\frac{1}{5^6}$

Answer

$5^7$

Answer

$\frac{1}{5^{40}}$

Answer

$5^{12}$

Question 38

Which expression is equivalent to $(7^{-8})\,(7^3)?$

Accepted Answer

$7^{-5}$

Answer

$49^{-11}$

Answer

$49^{-5}$

Answer

$7^{11}$

Question 39

Mr. Thomsen is buying two types of gift cards to give as prizes to employees at a company meeting. He will buy restaurant gift cards that each cost $$\$50.$$ He will also buy movie theater gift cards that each cost $$\$20.$$ He has $$\$450$$ to buy a total of $15$ gift cards . How many of each type of gift card can Mr. Thomsen buy?

Accepted Answer

He can buy 5 restaurant gift cards and 10 movie theater gift cards.

Answer

He can buy 10 restaurant gift cards and 5 movie theater gift cards.

Answer

He can buy 12 restaurant gift cards and 3 movie theater gift cards.

Answer

He can buy 8 restaurant gift cards and 7 movie theater gift cards.

Question 40

Kevin moved from a city to a small town. The population of the city is $6	imes 10^5,$ which is about $15$ times as great as the small town. Which expression could represent the approximate population of the small town?

Accepted Answer

$4	imes 10^4$

Answer

$9	imes 10^6$

Answer

$9	imes 10^5$

Answer

$4	imes 10^3$

Question 41

The graph of a system of equations is shown below.

What system of equations represents the graph?

Accepted Answer

$y=-2x+10$
$\$
$\quad y=-\frac{1}{2}x$

Answer

$y=-2x+10$
$\$
$\quad y=-\frac{1}{3}x$

Answer

$y=-\frac{1}{2}x+10$
$\$
$\quad y=-2x$

Answer

$y=-\frac{1}{3}x+10$
$\$
$\quad y=-2x$

Question 42

The graph below shows the relationship between the distances run and the time for three people in a $100	ext{-yard}$ race.

The relationship between the distance run and the time for Kofi can be represented by the equation $y = 15.55x,$ where he ran $y$ yards in $x$ seconds. Which two equations could be used to represent this relationship for Bella and Elsie?

Accepted Answer

Bella: $y = 15 .85x;$ Elsie: $y = 15.15x$

Answer

Bella: $y = 15.15x;$ Elsie: $y = 15.85x$

Answer

Bella: $y = 15.85x;$ Elsie: $y = 15.65x$

Answer

Bella: $y = 15.45x;$ Elsie:$ y =15.15x$

Question 43

Simplify.
$\quad 5^{-8}	imes5^4$

Accepted Answer

$\frac{1}{5^4}$

Answer

$-5^2$

Answer

$-5^{12}$

Answer

$\frac{1}{5^{32}}$

Question 44

What is the value of t that satisfies the equation below?

$\quad 3(t + 4) - 2(2t + 3) = - 4$

Accepted Answer

$10$

Answer

$11$

Answer

$-\frac{11}{3}$

Answer

$-\frac{4}{5}$

Question 45

Ellentown College has approximately $3	imes10^3$ students and Pengrove University has approximately $30,000$ students. How many times as much is the number of students at Pengrove University as the number of students at Ellentown College?

Accepted Answer

$10$

Answer

$1$

Answer

$100$

Answer

$30$

Question 46

Solve the system of equations below.

$\quad2x+4y=10$
$\quad2x + 4y = -10$

Accepted Answer

No solution

Answer

$x = 6, y = - 4$

Answer

Infinitely many solutions

Answer

$x = 3, y = 1$

Question 47

Bianca and Nick are both musicians who sell their songs online. During the same year, Bianca sold $8 	imes 10^5$ downloads of her songs and Nick sold $4	imes 10^6$ downloads of his songs. How many times as much is the number of songs that Nick sold than the number of songs that Bianca sold?

Accepted Answer

$5$

Answer

$40$

Answer

$20$

Answer

$2$

Question 48

Two friends work at different companies, $	ext P$ and $	ext S.$ Both companies use the number of hours that an employee works to calculate that employee's vacation hours. The relationship between the number of hours worked and the number of vacation hours for employees at each company is shown in the table and graph, respectively.

Which statement describes the difference in each friend's vacation hours if both work $2,080$ hours?

Accepted Answer

The friend at company $	ext S$ will have about $42$ more vacation hours than the friend at
company $	ext P.$

Answer

The friend at company $	ext P$ will have about eight more vacation hours than the friend at
company $	ext S.$

Answer

The friend at company $	ext P$ will have about nine more vacation hours than the friend at
company $	ext S.$

Answer

The friend at company $	ext S$ will have about $46$ more vacation hours than the friend at
company $	ext P.$

Question 49

What is the value of the expression below?
$\quad \frac{(4.8 	imes 10^8)} {(1.2 	imes10^4)}	imes (2. 2 	imes 10^{-6})$

Accepted Answer

$0.088$

Answer

$0.0088$

Answer

$0.00088$

Answer

$0.88$

Question 50

What is the equation of the line that passes through points $(-3, 0.5)$ and $(3, - 0.5)?$

Accepted Answer

$y=-\frac{1}{6}x$

Answer

$y=-6x-17.5$

Answer

$y=-\frac{1}{6}x+1$

Answer

$y=-6x$

Related quizzes

Related quizzes