Test Practice 3.1-3.6

The set of ordered pairs below represents a relation.

{(0, 2), (1, 3), (1, 4), (2, 5), (3, 5)}

Which statement about the relation is true? 

• The relation is a function. 

•  The relation is not a function, but removing (1, 3) and replacing it with (2, 6) would make the new relation a function.
  

• The relation is not a function, but removing (1, 4) and replacing it with (4, 1) would make the new relation a function.
  

• The relation is not a function, but removing (3, 5) and replacing it with (3, 6) would make the new relation a function.

Tags

CCSS.8.F.A.1

A relation is shown on the coordinate grid below.

Which statement about the relation best explains whether it represents a function? 

• It does not represent a function because it is not a straight line.

•  It does not represent a function because it does not pass through the origin.

•  It does represent a function because it passes through both the x-axis and the y-axis

• It does represent a function because each x-value is paired with exactly one y-value.

Each of 5 players played a game and recorded their final scores. Charlene made a table to
show each player’s age (x), in years, and final score (y), in points. Which statement must be
true for the table to represent a function? 

• Each player is a different age.
  

• No two players had the same final score.

• Each player with the same age had the same final score.
  

• No two players with the same age had the same final score.
  

Tags

CCSS.8.F.A.1

Beth and Phil each have gift cards for a local coffee shop. Beth has $50 on her gift card, and Phil has $30 on his gift card. Every time they go to the coffee shop, each buys his or her favorite drink. The table and graph shown below model the amount remaining on each person’s gift card based on the number of drinks purchased.

What are the prices of Beth’s favorite drink and Phil’s favorite drink?

•   Beth’s favorite drink: $2.75
    Phil’s favorite drink: $3.75

• Beth’s favorite drink: $2.75
    Phil’s favorite drink: $3.25

• Beth’s favorite drink: $2.81
    Phil’s favorite drink: $3.25

• Beth’s favorite drink: $2.81
    Phil’s favorite drink: $3.75
  

Tags

CCSS.8.EE.B.5

Which statement describing a function of x is true?

•   The graph of y = 3x + 9 is linear and has a y-intercept of 9.
  

• The graph of y = 3x is nonlinear and passes through the origin.
  

Tags

CCSS.8.F.A.3

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 below.

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? 

• The carpenter went to store A, and she can build 6 cabinets.

• The carpenter went to store A, and she can build 15 cabinets.
  
  

  
  

•   The carpenter went to store B, and she can build 5 cabinets.
  

• The carpenter went to store B, and she can build 6 cabinets.

Tags

CCSS.8.EE.B.5

Two linear functions of x are shown below.

Which statement about the functions is true? 

• Function 2 can be described by the equation y = 35x − 109.
  
  

  
  

•  Function 2 can be described by the equation y = 100x − 11.

• The y-intercept of function 1 is less than the y-intercept of function 2.
  

• The rate of change of function 1 is greater than the rate of change of function 2.  

  
  

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

 Sofia boarded a bus to school at the bus stop. The distance traveled by Sofia’s bus is represented by the graph below.

At the same bus stop, Barry boarded a different bus to school 5 minutes after Sofia. The distance traveled by Barry’s bus is described by the table below.

The school is located 12 miles from the bus stop. Which bus arrives at the school first, and what is the speed of that bus? 

• Sofia’s bus arrives at the school first with a speed of 0.6 miles per minute.
  

• Barry’s bus arrives at the school first with a speed of 0.83 miles per minute.
  
  

  
  

• Barry’s bus arrives at the school first with a speed of 1.2 miles per minute.
  
  

  
  

•  Sofia’s bus arrives at the school first with a speed of 1.67 miles per minute. 

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

An online video service offers two price options. Pricing for option A is given by y = 2x + 10, where x is the number of videos watched and y is the total cost in dollars. Pricing for option B is shown in the graph below.

Both options include an initial charge and a charge per video watched. Which statement correctly compares the two price options? 

• Option A has a higher initial charge and a higher charge per video watched.
  

•  Option B has a higher initial charge and a higher charge per video watched.
  

• Option A has a higher initial charge, and option B has a higher charge per video watched.
  

• Option B has a higher initial charge, and option A has a higher charge per video watched.  

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Two linear functions are represented by the table and the equation shown below.

Which statement comparing the y-intercepts of the functions is true?

• The y-intercept of function 1 is greater than the y-intercept of function 2 by more than 1 unit.
  

• The y-intercept of function 1 is greater than the y-intercept of function 2 by less than 1 unit.

• The y-intercept of function 2 is greater than the y-intercept of function 1 by more than 1 unit.
  

• The y-intercept of function 2 is greater than the y-intercept of function 1 by less than 1 unit. 

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9