Algebra 1 Keystone

Which statement about the relation is true?

• The relation is not a function of x because all functions are linear

• The relation is a function of x because values of x increase towards infinity

• The relation is a function of x because each value of y corresponds to one value of x

• The relation is not a function of x because more than one value of y may correspond to the same value of x

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

What inequality is graphed?

• x > 2 and x < 4

• 2 ≤ x ≤ 4

• x > 2 or x < 4

• x ≥ 2 or x ≤ 4

Which point-slope equation matches the graph?

A parking garage charges a $2.50 base fee plus an hourly rate of $4.00. If you have at most $12.50 to pay for parking, how long can you park?

• $3.40

• $2.50

• 2.5 hours

• 3.4 hours

A relation is shown below:
{(2, 140), (5, 350), (14, 960)}
What is the domain of the relation?

• {2, 5, 14}

• {140, 350, 960}

• {all whole numbers from 2 to 14}

• {all whole numbers from 140 to 960}

A company makes boxes of crackers that should weigh 213g. A quality control inspector randomly selects boxes to weigh.  Any box that varies from the weight by more than 5g is sent back. What is an equation that shows the range of allowable weights for a box of crackers and what is the range?

• |w - 213| ≤ 5,         208 ≤ w ≤ 218

• |w - 213| ≤ 5,                   0 ≤ w ≤ 10

• |w - 5| ≤ 213,         208 ≤ w ≤ 218

• |w - 5| ≤ 213,                   0 ≤ w ≤ 10

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

• x+y≤300
  7.5x+5.5y≥2000

• x+y<300
  7.5x+5.5y≥2000

• x+y≤300
  7.5x+5.5y≤2000

• x+y>2000
  7.5x+5.5y≤300

The table shows the relationship between the number of tickets sold for a concert and a theater's net profit, in dollars. Which graph could represent the relationship between the number of tickets sold (x) and the theater's net profit (y)?

• 
• 
• 
• 

A line segment on a coordinate plane representing the distance a bicyclist is from home has a slope of 35/2. On a line segment, x represents time, in hours, that the bicyclist has been riding and y represents the bicyclists distance, in miles, from home. The bicyclist began his ride at home and rides his bicycle at a constant rate. How long will it take until the bicyclist is 140 miles from home?

• 2 hours

• 4 hours

• 7 hours

• 8 hours