Writing and Graphing Equations in 2 Variables

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that the book is kept overdue, and y represents the total amount charged in late fees?

• (-3, -90)

• (-2.5, -0.75)

• (4.5, 1.35)

• (8, 2.4)

Tags

CCSS.HSF.IF.A.2

A store owner writes an equation that relates the number of cans of soup, x, with the total weight of the cans, y. Does the graph above show only solutions that are viable?

• No because it doesn't consider the negative x-values.

• No because it includes x-values that are not whole numbers.

• Yes because it is a straight line.

• Yes because all the y-values are positive and that's all that matters.

Tags

CCSS.8.EE.B.5

Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which equation relates the total amount of gas in the tank, y, to the number of gallons Jayne put in the tank, x?

• y = 4 + x

• y = 4 - x

• y = 4x

• y = x/4

Tags

CCSS.HSF-BF.A.1A

For each new desk that is purchased, by how much does the amount of money left in the school's desk fund decrease?

• $110

• $135

• $165

• $190

Tags

CCSS.HSF.IF.B.4

What would be the cost for 5 of the gift cards?

• $80

• $90

• $100

• $110

Tags

CCSS.8.EE.B.5

What was Maria's speed in miles per minute?

• 0.1 miles per minute

• 0.25 miles per minute

• 5 miles per minute

• 10 miles per minute

Tags

CCSS.8.EE.B.5

Otto used 6 cups of whole wheat flour and x cups of white flour to make fresh bread. Which of the following is an equation that can be used to find the value of y, the total amount of flour Otto used in his recipe, and what are the constraints on the values of x and y?

• y = 6x ; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 6.

• y = 6x ; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 6.

• y = x + 6 ; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 6.

• y = x + 6 ; x is any real number greater than or equal to 0, and y is an real number greater than or equal to 6.

Which graph shows the equation for

V = 4 + 2t

where V is the total volume of water in a bucket, and t is the elapsed time in minutes?

• 
• 
• 
• 

Tags

CCSS.8.EE.B.5

Which statement is true according to the graph?

• It took Michelle 6 hours to complete the trip.

• Michelle consistently traveled at a speed of 50 miles per hour.

• In the first 6 hours, Michelle traveled a total of 50 miles.

• At 0 hours, Michelle traveled a total of 350 miles.

Tags

CCSS.HSF.IF.B.4

Peaches are being sold for $2 per pound. A customer created an equation to determine the total cost of peaches purchased. If x represents the number of pounds of peaches purchased, and y represents the total cost, which of the following best describes the constraints on the values of x and y?

• The values of x and y can both be any real number.

• The values of x and y will both be real numbers greater than or equal to zero.

• The value of x cannot be a whole number.

• The value of y must be an integer.