3.7 Chapter 3 Practice Test
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Solutions 23 Videos

State the slope, \displaystyle m , and the \displaystyle y -intercept, \displaystyle b . for each linear relation. \displaystyle y=2 x+5

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Q1a

State the slope, \displaystyle m , and the \displaystyle y -intercept, \displaystyle b . for each linear relation. \displaystyle y=-\frac{1}{2} x+3

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Q1b

State the slope, \displaystyle m , and the \displaystyle y -intercept, \displaystyle b . for each linear relation. \displaystyle y=x-7

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Q1c

State the slope, \displaystyle m , and the \displaystyle y -intercept, \displaystyle b . for each linear relation. \displaystyle y=-3 x-2.5

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Q1d

State the slope, \displaystyle m , and the \displaystyle y -intercept, \displaystyle b . for each linear relation. \displaystyle y=32+1.8 x

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Q1e

State the slope, \displaystyle m , and the \displaystyle y -intercept, \displaystyle b . for each linear relation. \displaystyle y=6

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Q1f

Use \displaystyle m=\frac{\text { rise }}{\text { run }} to determine the slope of

each line segment.

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Q2a

Use \displaystyle m=\frac{\text { rise }}{\text { run }} to determine the slope of

each line segment.

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Q2b

Use \displaystyle m=\frac{\text { rise }}{\text { run }} to determine the slope of

each line segment.

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Q2c

Determine the equation of each line.

\displaystyle m=3, b=1

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Q3a

Determine the equation of each line.

slope is \displaystyle -2, y -intercept is 4

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Q3b

Determine the equation of each line.

a horizontal line passing through \displaystyle (0,-9)

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Q3c

On grid paper, graph each linear relation. \displaystyle y=2 x-1

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Q4a

On grid paper, graph each linear relation. \displaystyle y=-3 x+5

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Q4b

On grid paper, graph each linear relation.

\displaystyle y=3

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Q4c

Surfing lessons cost \displaystyle \$ 40 per half hour with a maximum lesson time of \displaystyle 2 \mathrm{~h} . There is a \displaystyle \$ 5 surfboard rental fee for each lesson, regardless of the length of the lesson.

a) Create a table of values comparing the total cost to the length of the lesson.

b) Use a graphing calculator to create a scatter plot of the data from the table in part a).

c) Write an equation relating \displaystyle C , the cost in dollars of a surfing lesson, to \displaystyle t , the length of the lesson in hours. Enter this equation into \displaystyle \mathrm{Y} 1 , then press GRAPH

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Q5

Determine the equation of each line.

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Q6a

Determine the equation of each line.

passing through \displaystyle (-6,3) and \displaystyle (4,1)

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Q6b

Determine the equation of each line.

a horizontal line passing through \displaystyle (2,5)

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Q6c

Determine the equation of each line.

\displaystyle m=-\frac{3}{4} , passing through \displaystyle (8,8)

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Q7a

Determine the equation of each line.

passing through \displaystyle (-4,3) and \displaystyle (6,5)

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Q7b

A salesperson earns \displaystyle \$ 200 per week plus \displaystyle 5 \% of total sales for sales up to \displaystyle \$ 10000 . Let \displaystyle x represent total sales in dollars and \displaystyle y represent weekly earnings.

a) Write an equation to represent this relation.

b) What is the \displaystyle y -intercept? What does this value represent?

c) What is the slope of this relation? What does it represent in this scenario?

d) How much has to be sold to ensure an income of at least \displaystyle \$ 550 per week?

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Q8

While driving to Barrie, one of the tires on Moh's car picked up a nail. When he left his home, his tire was inflated to \displaystyle 240 \mathrm{kPa} (kilopascals). The nail caused air to leak out of the tire at a rate of

\displaystyle 0.8 \mathrm{kPa} per minute.

a) Write an equation that models \displaystyle P , tire pressure, related to \displaystyle t , the time in minutes since the nail entered the tire.

b) Use a graphing calculator to display the graph and the table of values for the equation from part a). Adjust the window settings to view a graph for 2 hours from the time of picking up the nail. Sketch the calculator display.

c) What will the tire pressure be 1 hour after picking up the nail?

d) If the air continues to leak at the same rate, how long would it take for the tire to become completely flat, that is, have no air left in it?

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Q9