Alg.1 Benchmark Review (no calc)

Algebra 1

Benchmark #2 Review

(No Calculator)

Multiple Choice

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

• -8

• -4

• 4

• 8

Multiple Choice

Consider the graph of a quadratic function.

Which function best represents the graph?

• $$f\left(x\right)=x^2-2x-5$$

• $$f\left(x\right)=x^2-2x+5$$

• $$f\left(x\right)=x^2+2x-5$$

• $$f\left(x\right)=x^2+2x+5$$

Multiple Choice

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?

• (-4,-1)

• (-2,1)

• (2,3)

• (5,-6)

Multiple Choice

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

Multiple Choice

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?

• The value of 𝑓(16) is 110, and it represents only the number of guests seated at 16 small tables.

• The value of 𝑓(16) is 110, and it represents the total number of guests seated at the venue with 16 small tables set up.

• The value of 𝑓(16) is 154, and it represents only the number of guests seated at 16 small tables.

• The value of 𝑓(16) is 154, and it represents the total number of guests seated at the venue with 16 small tables set up.

Multiple Choice

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)?

• 33 guests

• 49 guests

• 51 guests

• 56 guests

Multiple Select

Which two relations represent functions?

• {(5,−2),(4,−3),(3,−4),(2,−5),(2,−6),(1,−7)}

Multiple Choice

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?

• The 𝑦-intercept is (0,8).

• The 𝑦-intercept is (0,64).

• The 𝑦-intercept is (8,0).

• The 𝑦-intercept is (64,0).

Multiple Choice

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?

Multiple Choice

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?

• The value 40 represents the city’s initial population and the slope of the function.

• The value 40 represents the city’s initial population and the 𝑦-intercept of the function.

• The value 40 represents the time, in years, and the slope of the function.

• The value 40 represents the time, in years, and the 𝑦-intercept of the function.