Algebraic Representation Test

Andrew is 5 years older than his brother Chris. The equation a = c + 5 represents the relationship between Andrew’s age in years, a, and Chris’ age in years, c.

 

Graph the line that represents the relationship between the ages of Andrew and Chris.

 

Plot two points on the coordinate grid. Draw a line to connect the points.

An exam in Mr. McBeal’s class includes twenty questions. Each question is worth 5 points.

Represent the relationship between the total amount of points and how much each question is worth

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

Which statement describe the relationships between x and y in Data Set I and Data Set II?

• Both data sets show additive relationships.

  In Data Set I, y is 5.5 more than x, and in Data Set II, y is 5 more than x.

• Data Set I shows a multiplicative relationship in which y is 5.5 times x.

  Data Set II shows an additive relationship in which y is 20 more than x.

• Both data sets show multiplicative relationships.

  In Data Set I, y is 5.5 times x, and in Data Set II, y is 5 times x.

• Data Set I shows an additive relationship in which y is 4.5 more than x.

  Data Set II shows a multiplicative relationship in which y is 5 times x.

The graph shows the cost to rent a surfboard for different amounts of time.

Label the independent and dependent quantities from the graph.

a

b

Dependent

Independent

The table shows the relationship between d, the amount of money Alice has at the beginning of each day, and w, the amount of money she has after riding the bus to work.

Which equation represents the relationship in the table?

• A company uses a total of y gallons of water at a rate of 74 gallons per hour for x hours.

• A restaurant serves a total of y meals in one day, in which 74 meals are severed during the first hour and x meals are served during the remaining hours.

• A company manufactures a total of 74 drinking glasses every hour, with x of the glasses made of clear glass and y of them made of blue glass.

• A restaurant prepares a total of y batches of pizza sauce from 74 pounds of tomatoes, with each batch weighing x pounds.

The graph shows the number of points, y, a player earns in a balloon game based on the number of balloons the player pops, x.

Write an equation that represents the relationship between x and y.

Mathematical Equivalence

ON

h

f

d

a

21.1

11.2

11.0

17.1

19.1

10.6

15.1

15.3

10.8

15.7

Plot an ordered pair that describe a point that is located 5 units to the right of the origin and 6 units below the x-axis.

Tags

6.11

The graph shows point S. What is the location of a point in Quadrant II at a vertical distance of 8 units from point S.

Plot the point on the coordinate plane.

Tags

6.11