What is the value of x in the equation $$\frac{4x+16}{12}=x-4$$

Consider the graph of a quadratic function.

Which function best represents the graph?

Consider the relation given by the set of ordered pairs.

{(𝟐,𝟑),(−𝟒,𝟐),(−𝟑,𝟑),(−𝟒,−𝟏),(𝟓,−𝟔),(−𝟐,𝟏)}

Which ordered pair should be removed so that the relation represents a function?

If the shaded region of the graph represents the solution set for the inequality, which best represents the solution set of $$y\le-\frac{1}{2}x+2$$ ?

5. A manager of a venue decides on the number of tables to set up to seat guests for a particular event.

• 𝟏𝟓 large tables and 𝒙 small tables are set up to seat guests for the event.

• The large tables seat 𝟔 guests each, and the small tables seat 𝟒 guests each.

If every table set up for the event is full, and the function 𝒇(𝒙)=𝟗𝟎+𝟒𝒙 represents the total number of guests seated at the venue, which statement is true?

6. A manager of a venue decides on the number of tables to set up to seat guests for a particular event.

• 𝟏𝟓 large tables and 𝒙 small tables are set up to seat guests for the event.

• The large tables seat 𝟔 guests each, and the small tables seat 𝟒 guests each.

For a different event, 𝟏𝟎𝟓 total guests are seated at the venue, and each of the small tables set up is full. The function 𝒈(𝒙)=𝟏𝟎𝟓−𝟒𝒙 represents the total number of guests seated at the large tables.

What is the value of 𝒈(𝟏𝟒)?

Which two relations represent functions?

A college student buys a half-gallon jug of milk at the grocery store and drinks on average 𝟖 ounces of milk per day. The graph represents the ounces of milk remaining, 𝒇(𝒙), in the milk jug 𝒙 days since the half-gallon jug of milk was bought.

Which statement is true?

Consider the system of inequalities.

𝒚<−𝟑𝒙−𝟒

𝒚>𝟒𝒙+𝟏

For which graph does the shaded region represent the solution set to the system of inequalities?

A city’s population over time, in years, 𝒙, can be represented by the function $$𝒇(𝒙)=𝟒𝟎(𝟏.𝟑)^x$$ . Which statement is true?