Equations in Multiple Representations

Translate each verbal phrase.

"n minus 2 is equal to 16"

• n = -2 + 16

• 2 + 16 = n

• 16 = n -2

• n - 2 = 16

What equation can be used to represent the relationship between the independent variable (x) and dependent variable (y)?

• y = x + 4

• y = 3x

• x = y + 4

• x = 3y

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

• In y = x - 2 and in y = 2x, the value is 2 less than the value of x.

• In y = x - 2 and in y = 2x, the value is 2 times the value of x.

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

• In y = x - 2, the value of y is 2 times the value of x, and in y = 2x, the value of y is 2 less than the value of x.

Which situation can be represented by the equation y = 5x?

• Isaiah went to the store for X days.
  This is 5 times Y, the number of days his brother went to the store.

• Isaiah spent X dollars to buy a gift for his mom.
  He gave the cashier Y dollars and received $5 in change.

• Isaiah has Y dollars.
  This amount is 5 times X, the amount of money in dollars Isaiah's brother has.

• Isaiah is Y years old. 
  His age is 5 years greater than X, his brother's age in years.

Which equation matches the table? 

• y = x + 4

• y = 5x

• y = x - 4

• y = x + 16

Which equation best represents the relationship in this table?

• y = 9.6x

• y = 10.6x

• y = 9.6

• y = x + 9.6

Which situation can be represented by the equation y = 12x?

• A factory uses a total of Y gallons of water at a rate of 12 gallons per hour for X hours.

• A bakery serves a total of Y cakes in one day, in which 12 cakes are served during the first hour and X meals are served during the remaining hours.

• A restaurant prepares a total of Y batches of pizza sauce from 12 pounds of tomatoes, with each batch weighing X pounds.

• A company manufactures a total of 12 plates every hour, with X of the plates made are blue and Y of the plates are green.

Which equation represents the table?

• 
• 
• 
• 

Write and equation for the scenario:

Nahomy earns $15 each hour she tutors a student in spanish.

• Y = 15x

• 15

• 15x

• x = 15y

Jose travelled at a rate of 0.25 miles per minute. Which equation represents this relationship?

(Remember you can convert a fraction into a decimal, if needed)

• y = ^x/₄

• y = x + 0.25

• y = ​¹⁄₄x

• y = 0.25