4.6-4.7 Review: Parallel & Perpendicular Lines & Linear Inequali

Multiple Choice

What does it mean if two lines are PARALLEL?

• They never intersect

• They intersect and form a right angle

• The intersect

• I still don't know

Multiple Choice

Slopes of PARALLEL lines are...

• Negative reciprocals.

• Opposites

• Same

• None of the Above

Multiple Choice

What slope is PARALLEL to:

m = -5

• -1/5

• 1/5

• 5

• -5

Multiple Choice

What slope is PARALLEL to:

m = 3/4

• 4/3

• 3/4

• -3/4

• -4/3

Multiple Choice

What does it mean if two lines are PERPENDICULAR?

• The never intersect

• They intersect

• They intersect and form a right angle

• None of the Above

Multiple Choice

Slopes of PERPENDICULAR lines are...

• Negative reciprocals.

• Opposites

• Same

• None of the Above

Multiple Choice

What slope is PERPENDICULAR to:

m = 5/8

• -5/8

• 5/8

• -8/5

• 8/5

Multiple Choice

What slope is PERPENDICULAR to:

m = 4

• 4

• -1/4

• -4

• 1/4

Multiple Choice

In order to compare linear equations to determine if they are PARALLEL or PERPENDICULAR they MUST be written in what format?

• Point Slope Form

• Standard Form

• Slope Intercept Form

• Any of the Above

Multiple Choice

y = 5/7x +2
y = 5/7x - 30
These lines are...

• Parallel

• Perpendicular

• Neither

Multiple Choice

y = -2/3x + 2

y = 3/2x + 9

These lines are...

• Parallel

• Perpendicular

• Neither

• Same Line

Multiple Choice

y = 3/4x + 2

y = 4/3x + 6

These lines are...

• Parallel

• Perpendicular

• Neither

• Same Line

Multiple Choice

Are the lines parallel, perpendicular, or neither?

y = 4

y = -7

• Parallel

• Perpendicular

• Neither

Multiple Choice

Are the lines parallel, perpendicular, or neither?

x = 10

y = -2

• Parallel

• Perpendicular

• Neither

Multiple Choice

Are the equations parallel, perpendicular, or neither?

y = 2x + 5

-2x + y = 12

• Parallel

• Perpendicular

• Neither

Multiple Choice

Are the two linear equations parallel, perpendicular, or neither?

10x + 8y = 16

5y = 4x - 15

• Parallel

• Perpendicular

• Neither

Multiple Choice

Are the equations parallel, perpendicular, or neither?

4x + 8y = 24

y = 5x + 3

• Parallel

• Perpendicular

• Neither

Multiple Choice

Are the equations parallel, perpendicular, or neither?

y = 1/2x + 7

2x + y = -5

• Parallel

• Perpendicular

• Neither

Multiple Choice

Are the equations parallel, perpendicular, or neither?

3x + 2y = 6

6x + 4y = 16

• Parallel

• Perpendicular

• Neither

Multiple Choice

Are the lines parallel, perpendicular, or neither?

Line 1: (-1,2) (2,3)

Line 2: (0,0) (3,1)  

• Parallel

• Perendicular

• Neither

Multiple Choice

Are the lines parallel, perpendicular, or neither?

Line 1: (2, 2) (0, -1)

Line 2: (0, 4) (9, -2)

• Parallel

• Perpendicular

• Neither

Multiple Choice

Are the lines parallel, perpendicular, or neither?

Line 1: (8, 5) (4,2)

Line 2: (3,3) (7,0)

• Parallel

• Perpendicular

• Neither

Multiple Choice

Write an equation of a line PARALLEL to y = x + 3 through (5, 3)

• y = x + 2

• y = -2x + 1

• y = 2x + 1

• y = x - 2

Multiple Choice

Write the equation of a line that passes through the point (2, 6) and is PARALLEL to the line y = -4x + 8.

• y = 1/4x + 5.5

• y = 4x + 6

• y = -1/4x + 8

• y = -4x + 14

Multiple Choice

Write an equation of a line that passes through the point (2,6) and is PARALLEL to the line y = -3

• y = 12

• y = 6

• x = 12

• x = 6

Multiple Choice

Which of the following lines is PERPENDICULAR to the graph of y = -6x + 3 ?

• $$y=\frac{1}{6}x+2$$

• $$y=x+4$$

• $$y=-\frac{1}{6}$$

• $$y=6x-32$$

Multiple Choice

What is the equation of a line PERPENDICULAR to

y = 2/3x + 4

and passes through the point (6, -9)

• y = 2/3x - 13

• y = -2/3x - 5

• y = -3/2x

• y = 3/2x - 18

Multiple Choice

Write an equation of a line PERPENDICULAR to

y = -1/5x + 5 through (-1, -3)

• y = 5x + 2

• y = -5x - 5

• y = -5x + 2

• y = 2x - 5

Multiple Choice

Is (5, -3) a solution to the inequality: y > x -10

• Yes

• No

Multiple Choice

Is (1, 2) a solution to the inequality: y < 4x -7

• Yes

• No

Multiple Choice

Is (0, -5) a solution to the inequality: 3x - 5y < 15

• Yes

• No

Multiple Choice

• x < 4

• x > 4

• x ≤ 4

• x ≥ 4

Multiple Choice

Which is the inequality for the graph?

• y < -2/5x - 4

• y > -2/5x - 4

• y ≤ -2/5x - 4

• y ≥ -2/5x - 4

Multiple Choice

Which is the inequality for the graph?

• y < -3/4x - 2

• y > -3/4x - 2

• y ≤ -3/4x - 2

• y ≥ -3/4x - 2

Multiple Choice

Which is the graph of the inequality?

• x < - 5

• x > - 5

• x ≤ - 5

• x ≥ - 5

Multiple Choice

• y < 5x + 1 

• y > 5x + 1 

• y ≤ 5x + 1 

• y ≥ 5x + 1  

Multiple Choice

• y < 4

• y > 4

• y ≤ 4

• y ≥ 4

Multiple Choice

Select the correct graph for each inequality.

y≤ -¾x -1

• A

• B

• C

• D

Multiple Choice

Select the graph for y ≥ -3.

• A

• B

• C

• D

Multiple Choice

Is (-6, -6) a solution to the inequality?

• Yes

• No

Multiple Choice

Is (-5, 4) a solution to the Inequality?

• Yes

• No

Multiple Choice

In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

• x + 2y < 240

• x + 2y > 240

• x + 2y ≤ 240

• x + 2y ≥ 240

Multiple Choice

The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?

• 106 - 4x ≤ 70

• 70 + 4x ≤ 106

• 4x - 106 ≥ 70

• 106 - 4x< 70

Multiple Choice

Damian can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40

• 1.50x + 10 ≤ 40

• 1.50x + 10 <40

• 10x + 1.50 < 40