Mid Chapter Review on Lines
Chapter
Chapter 5
Section
Mid Chapter Review on Lines
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Solutions 38 Videos

Identify the slope and y-intercept of the line.

a. y = 4x - 5

b. y = -2x +3

c. y =\frac{3}{7}x - \frac{2}{3}

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0.26mins
Q1

Describe each line using words: horizontal, vertical, rising to the right, or falling to the right.

a. y = -3x + 5

b. y = -2

c. y = \frac{2}{3}

d. x = 4.5

e. y = 4x - 1

f. y = \frac{3}{4}x + \frac{1}{3}

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0.56mins
Q2

Order each of the following sets of lines based on slope, from closest to horizontal to closest to vertical.

  1. y = x
  2. y = 7
  3. x = 2
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0.28mins
Q3a

Order each of the following sets of lines based on slope, from closest to horizontal to closest to vertical.

  1. y = \frac{2}{3}x - 7
  2. y = 2.5x - 3.7
  3. y = \frac{9}{2}x + 4
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0.35mins
Q3b

Order each of the following sets of lines based on slope, from closest to horizontal to closest to vertical.

  1. y = -\dfrac{1}{5}x + 8
  2. y = -6x - \frac{5}{8}
  3. y = -2x + 4
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0.27mins
Q3c

Suppose each equation set represents ski hill.

a) Which two equation could not possibly represent ski hills? Why?

b) Organize the hills to: Bunny Hills(least steep), Intermediate Hills(moderately steep), and Double Black Diamond Hills(steepest).

Set 1

  1. y = x
  2. y = 7
  3. x = 2

Set 2

  1. y = \frac{2}{3}x - 7
  2. y = 2.5x - 3.7
  3. y = \frac{9}{2}x + 4

Set 3

  1. y = -\frac{1}{5}x + 8
  2. y = -6x - \frac{5}{8}
  3. y = -2x + 4
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1.25mins
Q4

Sketch the graph using slope and y-intercept.

y = 2x - 4

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0.28mins
Q5a

Sketch the graph using slope and y-intercept.

y = -\frac{1}{4}x + 3

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0.42mins
Q5b

Sketch the graph using slope and y-intercept.

y = -\frac{7}{6}x

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0.52mins
Q5c

Rewrite the following in the form y = mx + b.

6x -3y - 15 =0

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0.26mins
Q6a

Rewrite the following in the form y = mx + b.

3x + 6y + 12 = 0

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0.24mins
Q6b

Rewrite the following in the form y = mx + b.

2x - 8y = 10

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0.37mins
Q6c

Rewrite the following in the form y = mx + b.

y - 10 = 0

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0.13mins
Q6d

Rewrite the following in the form y = mx + b.

4x + y - 9 = 0

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0.17mins
Q6e

Rewrite the following in the form y = mx + b.

2x -3y = -1

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0.23mins
Q6f

Movie tickets are \$8 each and concert tickets are \$12 each. Andrew spent a total of \$100 on movie and concert tickets.

a. Write an equation to represent the total cost for movie and concert tickets.

b. Rewrite the equation in the form y =mx + b

c. Determine which of the following is a possible combinations of movie and concert tickets that Andrew might have bought.

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3.29mins
Q7

Determine the slope.

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0.15mins
Q8a

Determine the slope.

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Q8b

Determine the slope.

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0.20mins
Q8c

Determine the slope.

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0.19mins
Q8d

Determine the slope.

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0.19mins
Q8e

Determine the slope.

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0.10mins
Q8f

Calculate the slope of the line passing through the pair of points.

A(3, 8) and B(5, 7)

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0.19mins
Q9a

Calculate the slope of the line passing through the pair of points.

C(8, 9) and D(-2, -2)

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0.19mins
Q9b

Calculate the slope of the line passing through the pair of points.

E(-8, 4) and F(4, -8)

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0.20mins
Q9c

Calculate the slope of the line passing through the pair of points.

I(0, 0) and J(-3, -5)

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0.14mins
Q9d

Calculate the slope of the line passing through the pair of points.

M(0, 4) and N(-3, 4)

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0.16mins
Q9e

Calculate the slope of the line passing through the pair of points.

P(-2, -1) and Q(-2, -9)

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0.37mins
Q9f

Determine if the points are collinear.

A(-3, -2), B(-2, 1), and C(2,10)

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0.45mins
Q10a

Determine if the points are collinear.

D(7, -1),E(6, 5), and F(2, 1)

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0.44mins
Q10b

Determine if the points are collinear.

G(-7, -5), H(-2,10), and I(-9, -11)

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0.50mins
Q10c

Determine if the points are collinear.

J(8, 9), K(-6, 7), and L(24, 11)

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0.50mins
Q10d

Point A has coordinates A(3, k), and the slope B(7,-2) of AB is \frac{2}{5}. Determine the value of k for each point B.

B(7, -2)

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0.50mins
Q11a

Point A has coordinates A(3, k), and the slope -2 of AB is \frac{2}{5}. Determine the value of k for each point B.

B(13, 5)

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0.35mins
Q11b

Point A has coordinates A(3, k), and the slope -2 of AB is \frac{2}{5}. Determine the value of k for each point B.

B(-2, 2)

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0.31mins
Q11c

Point A has coordinates A(3, k), and the slope -2 of AB is \frac{2}{5}. Determine the value of k for each point B.

B(9, 10)

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0.39mins
Q11d

A catering company charges $550 for 20 guests and $775 for 35 guests. What is the cost per person?

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2.05mins
Q12

At the end of July, the Robillard family headed home after a vacation. The Robillards were 750 km from home when they started out, but 4 h later they were only 394 km from home. They didn’t stop and they maintained a constant speed. How fast were they driving?

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1.17mins
Q13