Linear Functions Unit Review

Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108.00. Which linear function represents c, the total cost, when x tickets are ordered?

• c(x) = 5.50 + 20.50x

• c(x) = 5.50x + 20.50

• c(x) = 5.50 + 21.60x

Which equation represents a line that passes through (2, –1/2) and has a slope of 3?

• y – 2 = 3(x + 1/2)

• y – 3 = 2(x + 1/2)

• y + 1/2 = 3(x – 2)

• y + 1/2 = 2(x – 3)

Alejandra correctly wrote the equation y – 3 = 1/5(x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

• y – 6 = 2(x – 10)

• y – 3 = 2(x – 10)

• y – 3 = 1/5(x – 2)

What is the y-intercept of the function f(x)=4 – 5x?

• -5

• 4

• -4

• 5

What is a linear function?

• Has a constant rate of change (its graph is a straight line)

• Does not have a constant rate of change (its graph is not a straight line

• Has a constant rate of change (its graph is not a straight line)

• Does not have a constant rate of change (its graph is a straight line)

A function that has a constant rate of change

• Linear

• Exponential

• Quadratic

The function g is a linear function with g (0) = u and

g (2) = 3u , where u is a positive constant. Which of the following defines g (x)?

• g (x) = ux

• g (x) = u + x

• g (x) = ux + u

• g (x) = 2ux + u

What is the slope of the line represented by the equation f(t)=2t−6?

• The slope is 2 and the y-intercept is −6.

• The slope is −6 and the y-intercept is 2.

• The slope is 2 and the y-intercept is 6.

What is the slope of the function?

• -3

• -2

• 3

• 4

What is the rate of change of the amount earned with respect to hours worked for this function?

• dollars per hours

• dollars per hour

• dollars per hour