Linear Relations Chapter Review
Chapter
Chapter 3
Section
Linear Relations Chapter Review
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Solutions 25 Videos

Write the equation of a line for the table below.

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Q1a

Write the equation of a line for the table below.

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Q1b

Graph the line below.

y = 2x + 4

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Q1c

Write the equation of a line.

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Q1d

Write the equation of a line.

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Q1e

Sketch the graph of \displaystyle 3x -2y =12

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Q1f

Identify each relation in question 1 as a direct or partial variation. Explain.

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Q2a

Solve each relation below for x = 7.

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Q2b

Calculate the slope of each line.

The rise is 4 and the run is 5.

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Q3a

Calculate the slope of each line.

\Delta y = 8 when \Delta x = 2

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Q3b

Calculate the slope of each line.

The change in x is 6 and the change in y is 10.

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Q3c

Calculate the slope of each line.

The line passes through points (2, 7) and (6, -1)

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Q3d

Calculate the slope of each line.

The first differences are -5 when the change in x is 1.

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Q3e

Kristina is snowboarding down this hill.

a) On which segment will she go fastest? Why?

b) On which segment will she go slowest? Why?

c) Prove your answers to parts a) and b) mathematically.

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Q4

Determine tow more ordered pairs that lie on each line.

The rise is 3, the run is 4, and (2, -5) is on the line.

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Q5a

Determine tow more ordered pairs that lie on each line.

The slope is \frac{2}{3} and the y-intercept is (0, 5).

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Q5b

Determine tow more ordered pairs that lie on each line.

The slope is -\frac{3}{5} and the x-intercept is (3, 0).

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Q5c

Determine tow more ordered pairs that lie on each line.

\delta y = 5, \delta x = 2, and (-1, -1) is on the line.

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Q5d

Graph \displaystyle y = \frac{2}{3}x -4

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Q6a

Graph \displaystyle 3x - 6y = 12

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Q6b

A rectangle has a perimeter of 210 cm.

a) Explain why 2L + 2W = 210 models the case. What are L and W?

b) Graph 2L + 2W = 210.

c) Is the set of data discrete or continuous? Explain.

d) Determine two combinations of length and width for this rectangle.

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Q7

Is x = 5 the x-intercept of 2x - 3y = 10? Explain how you know.

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Q8

Identify each relation as linear or nonlinear. Explain your reasoning.

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Q9

A ball is hit straight up into the air. The table shows its height at various times.

a) Identify the relation between height and time as linear or nonlinear.

b) Graph the data.

c) Estimate the height of the ball at 1.5 seconds.

d) Estimate the time at which the height of the ball is 44 m.

e) Determine the time at which the ball hits the ground.

f) Determine the maximum height of the ball.

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Q10

The table shows the value )1, in dollars, of a rate coin that is x years old.

a) Is this relationship linear or nonlinear?

b) Graph the data.

c) Find the equation of this relationship.

d) Use the equation to find the value of the coin after 15 years.

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Q11