Linear Relations Review

Transformations of Linear Relations

100

The line y x = 3 is translated up 7 units. What is the equation of the resulting line?

What is y = 3x + 7

200

State the equation of the line y= 8x after it undergoes each of the following transformations: vertical reflection (in the x-axis)

what is y = - 8x 

300

State the vertical transformation(s) for the equation: y = 4/3 x - 17

What is vertical stretch by a factor of 4/3 and vertical translation 17 units down 

400

State the vertical transformation(s) for the equation: y = -4/3x 

What is reflection, vertical stretch by a factor of 4/3 

500

Determine an equation for the following transformations: reflection, vertical translation 2 units up, vertical compression by a factor of 1/3 

What is y=-1/3x + 2 

Writing Equations

100

A linear relationship between volume and time is described by the given start value and rate. Determine an equation to model the volume (V) at a given time (t)
Start : 8L
rate: 3L/min

What is V = 3t

200

For the following linear relations, state the start value (initial value) and the rate of change:
V= 50 + 2t 

What is initial value = 50

what is rate = 2t

300

You can estimate your maximum heart rate, in beats per minute (bpm), by subtracting your age from 220. Create an equation to model maximum heart rate (H) for a given age (x).

What is H = 220 - x

400

Anna and Zhu left their houses at the same time to meet at a local coffee shop. Their distances, in km, from the coffee shop t hours after leaving home are described by the following equations.
Anna: d=2.5-5t  Zhu: d= 1.8 - 6t

Who is Anna 

500

The graph on the right describes the taxi fare in Fredericton, New Brunswick. In Ottawa, Ontario, the initial cost is $2.25 less, but the rate is greater by $0.75/km. Determine an equation for the total cost of a taxi ride for d kilometres in Ottawa.

What is C = 3.75 + 2t

Random

100

Determine whether y=2x is a linear or non linear relation

What is a linear relation

200

A linear equation has an initial value of 3 and a rate of 2m/s. Is this a partial or direct variation?

What is a partial variation

300

Peter travelled a distance of 50m over 10second. Determine the rate of change. 

What is 5m/s 

400

Which of the following has the steepest slope? 

a) y = x

b) y = 2x

c) y = 6/3x - 2 

d) y = -8x - 10 

What is y = -8x - 10 

500

Jasmine and Sarah have a race. Jasmine has a head start of 2m and travels 10m over 2 seconds. Sarah has no head start and travels 20 m over 2 seconds. Determine an equation for each person. Who is the first person to reach 20 m first?

Who is:
Jasmine: D = 5m/s + 2  Sarah: D = 10m/s 

Who is Sarah