Semester Review Pt. 4

What kinds of questions could we use our vocabulary knowledge to answer?

• Domain & Range

• x- & y-intercepts, zeeros

• To write a linear equation or a system of linear equations

• To find the rate of change or slope (m)

• All of these

Hot dogs and bags of popcorn were sold at a concession stand. One family paid $8.00 for 2 hot dogs and 3 bags of popcorn. Another family paid $16.50 for 5 hot dogs 4 bags of popcorn.

Which system of equations can be used to determine the price in dollars of a hot dog, x, and a bag of popcorn, y?

• 5x + 4y = 8

  2x + 3y = 16.5

• 2x + 3y = 8

  5x + 4y = 16.5

• 2x + 5y = 8

  3x + 4y = 16.5

• 3x + 2y = 8

  4x + 5y = 16.5

The water level in a tank is changing at a constant rate. The graph shows the relationship between time in hours, x, and the water lever in meters, y.

Complete the statement that describes the rate of change of the water level with respect to time. Move the correct answer to each box. Not all answers will be used.

The water level ​ ​ (a)   at a rate of ​ (b)   m/h.

• increases
• 1
• 4
• decreases
• .25

The total cost, y, for x tickets to a concert includes a flat fee for processing and a cost per ticket. One customer purchased 4 tickets for a total cost of $160. Another customer purchased 8 tickets for a total cost of $300.

Which linear equation represents the total cost in dollars, y, for x tickets?

• y = 40x

• y = 37.5x

• y = 35x + 20

• y = 20x + 35

What are the x-intercept and y-intercept of the line?

• x-intercept: (8, 0)

  y-intercept: (0, -2)

• x-intercept: (-2, 0)

  y-intercept: (0, 4)

• x-intercept: (-2, 0)

  y-intercept: (0, 8)

• x-intercept: (4, 0)

  y-intercept: (0, 8)

What is the zero of f ?

• -3

• 3

• 2

• -6

What value best represents the y-intercept of the line?

• -2

• -3/2

• 2/3

• 3

A swimming pool can be rented for $110 per hour. The pool can be rented for either 1 hour or 2 hours. The cost in dollars to rent the pool is a function of the number of hours the pool is rented.

What are the domain and range of the function for this situation?

• Domain: {110, 220}

  Range: {1, 2}

• Domain: {1, 2}

  Range: {110, 220}

• Domain: all real numbers

  Range: all real numbers

• Domain: all integers greater than or equal to zero

  Range: all integers greater than or equal to zero

What is the domain of the function for this situation?

What is the range of the part of the linear function shown?

Choose the correct answer from each drop-down menu to complete the sentence.

The range of the function is the set of all real numbers​ ​ (a)   and ​ (b)  

• greater than -4
• greater than or equal to 2
• less than or equal to 2
• greater than or equal to -4
• less than 2
• less than or equal to -4