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The volume of Jupiter is approximately  $10^{14}$   cubic kilometers. The volume of Earth is approximately  $10^{11}$   cubic kilometers. How many planets the size of Earth does it take to equal the volume of Jupiter?

The Blue Ridge Mountains are rising at a rate of  $1\cdot10^{-4}$  feet per year. To determine how many feet the mountains will rise over the next  $1\cdot10^6$   years, a scientist performs the operation shown below. 

 $\left(1\cdot10^{-4}\right)\cdot\left(1\cdot10^6\right)$  

How many feet will the Blue Ridge Mountains rise over the next 1 × 106 years?

Which equation shows how to find the product of 1,000,000 and 1,000,000 using scientific notation?

Luisa is solving an equation on the bottom of a page. The corner of the page where the equation is written is torn off as shown.

Luisa knows only one number was torn off, and she knows that the equation has an infinite number of solutions. What must be the missing number?

Fran buys used DVDs. She pays $2.75 for each DVD she buys. She graphs a line to show the total amount (y), in dollars, she pays to buy x used DVDs. Which equation correctly describes Fran’s line?

Ben currently has $70 in his trip fund. He makes $45 per week doing yard work for his neighbors. He keeps $18 of the $45 for weekly expenses. The remaining amount goes into his trip fund. Which function can be used to determine the amount of money (y), in dollars, that Ben has in his trip fund at the end of x weeks?

Trevor is riding his bicycle for a workout. The graph below shows the relationship between the amount of time, in minutes, he rides and the distance, in kilometers, he rides during his 25-minute workout.

Based on the graph, which statement about the rate at which Trevor rides during his workout is true?

Davis is comparing the gas mileage for his old car with the gas mileage for his new car. His old car used 19 gallons of gas to travel 323 miles. The graph shown represents the gas mileage for his new car.

What is the difference in the gas mileages for the two cars?

Zach is studying the school furnace’s oil usage. He records the amount of oil remaining in the tank at 8 a.m. every day for a week. No additional oil is added to the tank during the week. The graph shows his data.

As the outdoor temperature gets colder, more oil is used to keep the indoor temperature constant. Based on the graph, which 24-hour time interval indicates the coldest period for the week?

Line j and line k are graphed on the same coordinate grid.

• Line j has a slope of –2/3 and intersects the y-axis at –4.

• Line k has a different negative slope than line j and intersects the y-axis above line j.

Which equation could describe line k?

The graph shows the relationship between the number of years after a car is purchased and the car’s value.

Which statement correctly describes the relationship shown in the graph?

The graph shown represents the rate at which water drains from a tank once the drain is opened.

Which statement correctly describes the graph?

A carpenter is building cabinets. For each cabinet, she needs 8 sets of supplies. At store A, each set of supplies costs $3.75. The total cost (y), in dollars, of the supplies she needs to buy at store A to build x cabinets is represented by the equation shown below.

y = 8(3.75x)

At store B, the total cost (y), in dollars, of the supplies she needs to buy to build x cabinets is represented by the graph shown.

The carpenter spends a total of $180 on supplies. To which store did the carpenter go for supplies, and how many cabinets can she build?

Hank’s Bicycle Rentals charges an initial fee of $15 and an hourly rate of $5 to rent a bicycle. Maria’s Bicycle Rentals has the same hourly rate but charges an initial fee of $12. To find the number of hours for which the two rental companies would charge the same amount to rent a bicycle, Cindy writes and solves the equation shown below.

15 + 5x = 12 + 5x

Which statement describes the number of hours for which the two rental companies charge the same amount to rent a bicycle?

A system of two linear equations is represented by the graph.

Which statement about the solution of the system of equations is true?

A system of two linear equations is graphed on the coordinate grid shown below.

What ordered pair is the solution of the system of equations?

Mr. Carter is mapping the boundaries of a park on a coordinate grid. The park’s headquarters are located at the origin. The equations shown below represent two boundaries of the park.

y = 2x – 5

2x + 4y = 12

The park’s entrance is located at the intersection of these two boundaries. Which coordinate grid correctly shows the two boundaries and the park’s entrance?

A cleaning company charges x dollars per hour to clean floors and y dollars per hour to clean the rest of a house.

• When the company spends 2 hours to clean floors and 3 hours to clean the rest of a house, the total charge is $84.

• When the company spends 1 hour to clean floors and 4 hours to clean the rest of a house, the total charge is $87.

Which ordered pair represents the hourly charges to clean floors and to clean the rest of the house?