Graphing Inequalities Review

Inequalities

Review

The following questions will be review of Section 6.1 & 6.2

You will need:

• a pencil

• a calculator

• notebook (pages 27 & 28)

Multiple Choice

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 

• <, >

• ≤, <

• ≥, >

Multiple Choice

When graphing an inequality, you use an open dot when you use which symbol?

• <, >

• ≤, ≥ 

• ≤, <

• ≥, >

Multiple Choice

Match the graph with its inequality.

• 11 < a

• 11 > a

•  11 ≤ a

•  11 ≥ a

Multiple Choice

Pick the correct inequality.

• A

• B

• C

• D

Multiple Choice

7 is less than a number.

• x > 7
• x < 7
• x ≤ 7
• x ≥ 7

Multiple Choice

Solve:
n - 2 ≤ 4

• n ≤ 2
• n ≤ 6
• n ≥ 6

Multiple Choice

Solve:
-2 + x ≤ -16

• x ≤ -14
• x ≥ 14
• x ≤ -18

Multiple Choice

When graphing b< 6 would you use an open or closed circle?

• Open

• closed

Multiple Choice

When graphing b ≤ 6 would you use an open or closed circle?

• Open

• closed

Multiple Choice

Match the graph with its inequality.

• b > –2

• b < –2

• b ≥ –2

• b ≤ –2

Multiple Choice

What inequality does the number line graph represent?

• x ≤ -4
• x ≥ -4
• x < -4
• x < 4

Multiple Choice

What inequality does the number line graph represent?

• x ≤ -4
• x ≥ -4
• x < -4
• x < 4

Multiple Choice

What inequality does the number line graph represent?

• x≥ 3
• x > 3
• x < -3
• x ≤ 3

Multiple Choice

What inequality does the number line graph represent?

• x≥ 3

• x > 3

• x < -3

• x ≤ 3

Multiple Choice

What inequality does the number line graph represent?

• x > 5
• x < −5
• x ≥ 5
• x ≥ −5

Multiple Choice

Match the graph with its inequality.

• a > 11

• a < 11

• a ≥ 11

• a ≤ 11

Multiple Choice

Match the graph with its inequality.

• 11 < a
• 11 > a
•  11 ≤ a
•  11 ≥ a

Multiple Choice

What inequality does the number line graph represent?

• x ≥ 3
• x > 3
• x < -3
• x ≤ 3

Multiple Choice

What inequality does the number line graph represent?

• x <= 4

• x>= -4

• x < -4

• x < 4

Multiple Choice

This graph represents which inequality?

• x > 1
• 1 ≥ x
• x is greater than or equal to 1
• x is less than or equal to 1

Multiple Choice

Greater than is which inequality sign?

• <

• >

• ≥

• ≤

Multiple Choice

Less than is which inequality sign?

• ≥
• ≤
• <
• >

Multiple Choice

Less than or equal to is represented by which inequality sign?

• ≤
• <
• >
• ≥

Multiple Choice

Greater than or equal to is represented by which inequality sign?

• <

• ≤

• ≥

• >

Multiple Choice

10 ≥ x - 3

• x ≤ 13
• x ≥ 13
• x ≤ 7
• x ≥ 7

Multiple Choice

-2(x+2) < 14

• x < - 5
• x > -5
• x < -9
• x > -9

Multiple Choice

Solve:
-2 + x ≤ -16

• x ≤ -14

• x ≥ 14

• x ≤ -18

Multiple Choice

-8x < 48

• x < -6
• x > -6
• x < 6
• x > 6

Multiple Choice

Does the sign need to flip when solving?
8y < (-40)

• YES

• NO

Multiple Choice

-4x + 14 ≤ 54

• x ≥ - 10
• x ≤ -10
• x ≥ 10
• x ≤ 10

Multiple Choice

The objective when solving an inequality is to....

• isolate the variable.

• check the solution.

• guess and check.

• Combine Like Terms.

Multiple Choice

When do you flip the inequality sign?

• any time you multiply or divide by a negative

• when subtracting

• when you multiply or divide by a negative that is attached to the variable

• when you add

Multiple Choice

Solve the inequality: -3(x + 2) < 21

• x < -9

• x > -9

• x > 5

• x < 5

Multiple Choice

Consider the function y<2x+3. Which is true?

• The line would be solid with shading above.
• The line would be dashed with shading above.
• The line would be solid with shading below.
• None of these.

Multiple Choice

Consider the function y<2x+3. Which is true?

• The line would be solid with shading above.

• The line would be dashed with shading above.

• The line would be solid with shading below.

• None of these.

Multiple Choice

Is this graph shaded above or below?

• above

• below

Multiple Choice

Is this graph shaded above or below?

• above

• below

Multiple Choice

Consider the function y<2x+3. Which is true?

• The line would be solid with shading above.

• The line would be dashed with shading above.

• The line would be solid with shading below.

• None of these.

Multiple Select

When graphing $$y<\frac{3}{5}x-4$$  , you will draw which of the following.

• A dotted line

• A solid line

• Shade up

• Shade down

Multiple Select

When graphing $$y\ge-\frac{2}{7}x+1$$  , you will draw which of the following.

• A dotted line

• A solid line

• Shade up

• Shade down

Graphing in

Slope Intercept Form

The following questions will be a review of graphing in slope intercept form. This Quizizz will lead us into our new section (6.3) Graphing Solutions .

Take notes and try your best!

Linear Equations

• A linear equation in an equation that forms a straight line when graphed on a coordinate plane.

• Slope Intercept Form is a type of linear equation in the form of y=mx+b, where m is the slope and b is the y-intercept.

Y-Intercept

• The y-intercept is the number in place of b in y=mx+b

• This is the starting point when graphing a line !!

• The y-intercept is where the line will cross through the y-axis on the coordinate plane.

Y-Intercept

• Pay attention to the symbol in front of b in the equation! This tells you if it is positive or negative

  • Ex: y=3x-4 means b= -4

• The y-intercept written as an ordered pair is (0,b)... if b=-4, the ordered pair will be (0,-4)

Slope

• The slope is a number that tells how steep the line will be.

• Slope is the m in y=mx+b. Slope is a fraction.

• If the number you have is not a fraction, put a 1 under it (3 = 3/1)

• After putting the y-intercept on the graph, the slope tells you where to go next.

Slope

• The top number is the rise (it tells you how far to go up if its positive, or down if its negative), and the bottom number is the run (it tells you how far to go to the right)

• If slope is positive, it will go up to the right ( / ), and if slope is negative, it will go down to the right ( \ )

Multiple Choice

What does "m" represent in y=mx+b?

• y-intercept

• slope

• nothing

Multiple Choice

What is the slope in the equation: y=4x+3

• 3

• 4x

• 4

• x

Multiple Choice

Which letter represents the y-intercept in y=mx+b?

• y

• m

• x

• b

Multiple Choice

What is the y-intercept in the following equation: y=-4x-5

• -4

• -4x

• 5

• -5

Multiple Choice

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

• slope: 5

  y-intercept: (0,3)

• slope: 3/2

  y-intercept: (0,3)

• slope: 4

  y-intercept: (0,3/2)

• slope: 1/5

  y-intercept: (0,5)

Multiple Choice

What is the slope in the picture?

• Positive

• Negative

• Zero

• Undefined

Multiple Choice

What do you do second to graph a line from slope-intercept form?

• Use b to make the y-intercept

• Use m to make the y-intercept

• Use b as the slope to make the next point

• Use m as the slope to make the next point

Multiple Choice

What is the slope in the equation: y=4x+3

• 3

• 4x

• 4

• x

Multiple Choice

What is the y-intercept in the equation y= -2x + 5

• -2

• 3

• 5

• Cannot be Determined

Multiple Choice

What is the slope in the picture?

• Positive

• Negative

• Zero

• Undefined

Multiple Choice

What is the slope in the equation y=2x + 3?

• 2

• 3

• 5

• Cannot be Determined

Multiple Choice

What type of slope does the following graph have?

• Postive

• Negative

Multiple Choice

Slope is know as "rise over ____"

• run

• fall

• none

• rise

Multiple Choice

Which of these represents slope-intercept form?

• y - y₁ = m(x-x₁)

• Ax + By = C

• y = mx + b

Multiple Choice

Write the equation for the line.

• y= -1x+3

• y= 4x+3

• y=1/4x+3

• y= -4x+3

Multiple Choice

How would you write the equation with a slope of 2/3 and a y-intercept of -3

• y=3/2x+3

• y=2/3-3

• y=2/3x-3

• y=2/3x+3

Multiple Choice

What is the y-intercept of this graph?

• (0,1)

• (0,-2)

• (0,0)

• (0,3)

Multiple Choice

What is 'b' in this linear equation? y= 5x - 6

• 6

• 5

• y

• -6

Draw

Graph the following equation:

$$y\ =\ \frac{1}{2\ }x\ -\ 4\$$

Multiple Choice

If m=3 and b=6, what is the correct slope intercept equation?

• y=3-6

• y=3x-6

• y=3x+6

• y=6x+3

Multiple Choice

Find the slope of the line.

• Undefined

• 0

• 1

• -1

Multiple Choice

What is the y-intercept in the following equation:  y=-4x-5

• -4

• -4x

• 5

• -5

Multiple Choice

What is the equation for this graph?

• y= 4/5 x + 4

• y= 5/4 x + 4

• y= 4x -5

• y= 5x + 4

Multiple Choice

What is the slope in the equation:  y=4x+3

• 3

• 4x

• 4

• x

Multiple Choice

What is the equation by looking at this graph?

• y= x + 3

• y= -x + 2

• y= 2x + 2

• y= x + 2

Multiple Choice

What is the equation of this line?

• y= -2/3 x -2

• y= 2/3 x -2

• y= -2/3 x + 2

• y= 2

Draw

Graph the following equation:

$$y\ =\ -\frac{1}{3}x+2$$

Multiple Choice

Which could be the graph of the equation y = 1/3x - 2?

Multiple Choice

This line has a __________ slope.

• Negative

• Positive

• Undefined

• No Slope

Multiple Choice

Which graph best represents the equation y = -3x + 4?

Multiple Choice

This lines has a __________ slope.

• Undefined

• Positive

• Negative

• No Slope

Multiple Choice

Which is the graph of the equation y = -2x + 1?

Multiple Choice

Which of these lines has a slope of -3?

• A

• B

• C

• D

Multiple Choice

Which graph represents y = 3x? (this equation is the same as y = 3x + 0)

Draw

Graph the following equation:

$$y\ =\ -2x\ +8\$$

Open Ended

IGNORE THIS SLIDE: YOU ARE DONE. TURN IN PACKET TO FOLDER.

Fill out your "What I Learned (L)" part of your KWL - when done add your response below (no names). Then follow the next directions on the board.