Algebraic Representations of Two-Variable Relationships

The tables show the relationships between x and y for two data sets.

• Both data sets show additive relationships.  In Data Set I, y is 5 more than x, and in Data Set II, y is 6 more than x.

• Both data sets show multiplicative relationships.  In Data Set I, y is 3 times x, and in Data Set II, y is 5 times x.

• Data Set I shows an additive relationship in which y is 5 more than x.  Data Set II shows a multiplicative relationship in which y is 5 times x.

• Data Set I shows a multiplicative relationship in which y is 6 times x.  Data Set II shows an additive relationship in which y is 4 more than x. 

Tags

CCSS.8.F.A.3

The table shows the relationship between x and y, where y is the dependent variable. 

Write an equation to represent the relationship in the table.

Type the equation without spaces and lower case.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A tree in Dante’s neighborhood grew 9 inches each year.  Which graph best shows the relationship between the number of years and the height of the tree?

• A

• B

• C

• D

Tags

CCSS.8.EE.B.5

Janice bought 5 basketball game tickets for a total of $60. Each ticket cost the same amount. Complete the table by selecting the correct list of missing numbers to show the relationship between the number of books bought and the total cost in dollars.

• x= 2, 4, 5

  y= 12, 36, 60

• y= 2, 4, 5

  x= 12, 36, 60

Tags

CCSS.5.OA.B.3

Which table shows only values that represent the following relationship between q and r?
r = q + 10.1

• Table A

• Table B

• Table C

• Table D

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Which statement best describes the relationship between x and y in the equation y = 6 + x?

• The value of y is six less than the value of x.

• The value of y is six times the value of x.

• The value of x is six more than the value of y.

• The value of y is six more than the value of x.

Tags

6.6C

Two equations are shown below. Which of the statements best explains the relationship between the equations?

• In y = x + 3, the value of y is 3 more than the value of y = 3x.

• In y = 3x, the value of y is 3 times the value of y in the equation y = x + 3.

• In y = 3x, the value of y is three times the value of x, and in y = x + 3 the value of y is three less the value of x.

• In y = 3x, the value of y is three times the value of x, and in y = x + 3, the value of y is three more than the value of x.

• A

• B

• C

• D

Tags

CCSS.8.EE.B.5

Line A represents the equation y = 5x. Line B represents the equation y = x + 5. Which statement best describes the relationship between line A and line B?

• Line A will always be greater than line B.

• Line A and line B start at the same point.

• Line A increases more rapidly than line B.

• Line B increases more rapidly than line A.

Tags

CCSS.8.EE.B.5

Which statement best describes the relationship between x and y in the equation y = 6 + x?

• The value of y is six less than the value of x.

• The value of y is six times the value of x.

• The value of x is six more than the value of y.

• The value of y is six more than the value of x.

Tags

CCSS.6.EE.C.9