Algebraic Representations 6th grade created by Shawna Hyde from released staar questions 2016-2018

Which statement describes the relationship between x and y in these two equations?

y = 2x

y = x + 2

• In y = 2x the value of y is 2 more than the value of x, and in y = x + 2 the value of y is twice the value of x.

• In y = 2x and in y = x + 2, the value of y is 2 more than the value of x.

• In y = 2x and in y = x + 2, the value of y is twice the value of x.

• In y = 2x the value of y is twice the value of x, and in y = x + 2 the value of y is 2 more than the value of x.

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

Which list best represents the independent values of the graphed points?

• 1, 7.50, 2, 15, 3, 22.50, 4, 30, 5, 37.50, 6, 45

• 5, 10, 15, 20, 25, 30, 35, 40, 45

• 7.5, 15, 22.50, 30, 37.50, 45

• 1, 2, 3, 4, 5, 6

The graph shows the amount of money earned by an employee based on the time he spent working.

Which list shows the dependent quantities in the graph?

• 10, 20, 30, 40, 50

• 1, 2, 3, 4, 5

• 11, 22, 33, 44, 55

• 101, 202, 303, 404, 505

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?

• w = d + 1.25

• w = 14.50d + 1.25

• w = 15.75d - 1.25

• w = d - 1.25

A carpenter charges $720 for 18 hours of work. She charges the same amount of money for each hour of work.

Which table shows the relationship between the amount of time the carpenter works and the amount of money she charges?

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Which situation can be represented by the equation

y = 74x?

• 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 served 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 poinds.

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.

Which equation best represents the relationship between x and y?

• y = x + 25

• x = y + 25

• x = 25y

• y = 25x

Ms. Hyde asked her children to write a situation that could describe the relationship between all the values of x and y in the table.

Which situation best describes the relationship between all the values of x and y in the table?

• Jaden had six dollars and then started to save one dollar each week.

• Leiara ran one mile the first week and one mile each week after that.

• BerylDea read zero books in six months and then started to read one book each week.

• BrynzLea has six times the number of toys that Shareef has.

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

r = q + 10.1

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The cost of downloading one song from a website is $0.99. Which equation can be used to find t, the cost in dollars of downloading n songs?

• t = 0.00 + n

• n = 0.99 + t

• t = 0.99n

• n = 0.99t