Ch 4-6 Review

Multiple Choice

Where would you place -6?

• In the whole number circle because it's a whole number, integer, and rational number.

• In the integer circle because it's an integer and rational number only.

• In the rational circle because it's only a rational number.

• I'm not sure because I don't know what rational means.

Multiple Choice

Does the graphic organizer correctly group the numbers?

• Yes
• No

Multiple Choice

Explain the error

• -1.2 isn't an integer.
• -2 isn't a whole number and 3.4 isn't a rational number.
• -2 isn't a whole number and -1.2 isn't an integer.
• The numbers are graphed correctly.

Multiple Choice

Does this graphic organizer correctly group the numbers?

• Yes
• No

Multiple Choice

-14 could NOT be which type of number?

• Integer
• Whole
• Rational

Multiple Choice

Classify the Number: -23

• Rational
• rational, integer
• integer
• rational, whole

Multiple Choice

Which statement is true?

• Every rational number is an integer
• Every whole number is a counting number
• Every integer is a whole number
• Every whole number is a rational number

Multiple Choice

-3.5 is an integer

• True
• False

Multiple Choice

6 is a rational number

• True
• False

Multiple Choice

-9 is an integer

• True
• False

Multiple Choice

Which of the following does not represent a whole number?

• 9

• 6.0

• 12/4

• -12/3

Multiple Choice

Which of the following could the diagram represent?

• I: rational, II: natural

• I: integer, II: whole

• I: integer, II: rational

• I: whole, II: natural

Multiple Choice

Which Venn diagram correctly represents the relationship between rational numbers and irrational numbers?

Multiple Choice

Rachel states that -5.5 is an integer because it is negative.

Is she correct?

Why or why not?

• Yes, because all negatives are integers.

• Yes, because all integers have decimals.

• No, because integers do not have decimals.

• No, because integers cannot be negative.

Multiple Choice

Which could be the value of D?

• -10

• 0

• $\frac{3}{4}$

• 2.5

Multiple Choice

Which could NOT be the value of B?

• 5

• $\frac{1}{2}$

• -12.5

• $\sqrt{32}$

Multiple Choice

Which of the following is rational?

• .211232112421125. . . .
• π
• √25
• √12

Multiple Choice

What is the definition of an integer

• All positive and negative whole numbers
• Decimals or fractions that terminate for repeat
• All positive whole numbers
• 0

Multiple Choice

List all the classifications of numbers that apply to the real number. 
-18/6

• Rational
• Rational, Integer, Whole
• Natural, Whole, Integer, Rational
• Rational, Integer

Multiple Choice

-14 could be classified as all of these EXCEPT?

• Integer

• Real

• Rational

• Whole

Multiple Choice

The √98 falls between what two numbers on a number line?

• 10 and 11
• 11 and 12
• 9 and 10
• 90 and 100

Multiple Choice

Which number is rational below?

• √20
• √64
• 6π
• √7

Multiple Choice

In between what two integers is the square root of 77?

• 5 and 6
• 6 and 7
• 7 and 8
• 8 and 9

Multiple Choice

Which of the following is irrational?

• 0.444444444

• -4/5

• π

• 0.2

Multiple Choice

Irrational numbers...

• reduce to π

• never end and never repeat

• can sometimes be perfect squares

• must be negative

Multiple Choice

√4

• irrational
• rational

Multiple Choice

√7

• Rational 
• Irrational
• real
• fake

Multiple Choice

The √40 is between which two integers?

• 7 & 8
• 6 & 7
• 5 & 6
• 4 & 5

Multiple Choice

What is the approximate value of √12

• 2
• 3.5
• 4.5
• 6

Multiple Choice

What two integers would √26 fall between

• 3 and 4
• 5 and 6
• 6 and 7
• 5 and 7

Multiple Choice

When using scientific notation, a negative exponent means ...

• the standard number is greater than one

• the standard number is less than one

• the negative sign doesn't have a meaning

• None of the above

Fill in the Blank

Convert this number to standard notation: 7.1 x 10⁴

Multiple Choice

Convert this number into scientific notation: 0.068

• 6.9 x 10⁶

• 6.8 x 10^-9

• 6.8 x 10^-2

• None of the above

Multiple Choice

When using scientific notation, a positive exponent means ...

• the standard number is greater than one

• the standard number is less than one

• the negative sign doesn't have a meaning

• None of the above

Fill in the Blank

Convert this number to standard notation: 1.4 x 10^-2

Multiple Choice

Convert this number into scientific notation: 950,000

• 9.5 x 10⁵

• 9.5 x 10^-9

• 9.5 x 10²

• None of the above

Multiple Choice

Which value is the greatest

• 5.0 x 10^-9

• 5.0 x 10^-4

• 5.0 x 10⁶

• 5.0 x 10⁸

Multiple Choice

Which number is the least in value

• 5.0 x 10^-9

• 5.0 x 10^-4

• 5.0 x 10⁶

• 5.0 x 10⁸

Multiple Choice

Write 6,700 in scientific notation.

• 6.7 x 10³
• 6.7 x10^-3
• 67 x 10²
• 67 x 10^-2

Multiple Choice

The rule of scientific notation is to write all exponents with a base of ____.

• 50
• 5
• 100
• 10

Multiple Choice

What is scientific notation?

• A long way to write really short  numbers
• A short way to write really long numbers
• I don't know...
• None of the above

Multiple Choice

7.82 x 10^-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.

• Large
• Small
• Basic

Multiple Choice

How would you write 4.3756 x 10⁴ in standard form?

• 437,560,000
• 0.00043756
• 43,756
• 4,3756

Multiple Choice

How would you write 0.0005 in scientific notation?

• 50 x 10^-5

• 5 x 10^-4

• 5 x 10³

• .5 x 10³

Multiple Choice

Which of the following is correct scientific notation?

• 20.35 x 10⁴
• .2035 x 10⁴
• 2035 ⁴
• 2.035 x10⁴

Multiple Choice

If the exponent is a positive number the original number was...

• a really big number.

• a really small number.

Multiple Choice

If the exponent is a negative number the original number was...

• a really large number.

• a really small number.

Multiple Choice

Multiply:
(9.4 x 10⁶)(3.2 x 10⁵)

• 30.08 x 10¹¹
• 3.8 x 10¹
• 3.008 x 10¹²
• 2.9375 x 10¹

Multiple Choice

What do you do to your exponents when you are dividing in scientific notation?

• Subtract

• Divide

• Multiply

• Add

Multiple Choice

What do you do to your exponents when you are multiplying in scientific notation?

• Subtract

• Multiply

• Divide

• Add

Multiple Choice

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

• 3 x 10¹⁰
• 3 x 10⁴
• 3 x 10^-4
• 3 x 10^-11

Multiple Choice

If you add to your exponent of 10, you move your decimal...

• Left

• Right

• Up

• Down

Multiple Choice

If you subtract from your exponent of 10, you move your decimal to the ....

• Right

• Left

• North

• South

Multiple Choice

(9.6×10^-8)÷(2×10^-15)

• -4.8×10⁷
• 4.8×10⁷
• 4.8×10^-7
• -4.8×10^-7

Multiple Choice

What is the simplified version of

• 3.9 x 10⁶
• 4 x 10²⁰
• 4 x 10⁶
• 3.9 x 10²⁰

Multiple Choice

Subtract withing scientific notation 
(7.32 x 10⁶) - (4.01 x 10⁸)

• -3.937 x 10⁸
• 3.937 x 10⁸
• 3.937 x 10⁷
• 3.937 x ⁻²

Multiple Choice

Add withing scientific notation 
(5.2 x 10⁷) + (3.01 x 10⁴)

• 5.20301 x 10¹¹
• .520301 x 10⁷
• 5.20301 x 10⁷
• 5.20301 x 10⁸

Multiple Choice

Add within scientific notation 
(6.2 x 10²) + (9.7 x 10⁰)

• .6297 x 10²
• 6.297 x 10⁰
• 6.297 x 10³
• 6.297 x 10²

Multiple Choice

Subtract the within the scientific notation. 
(2 x 10³) - (1.9 x 10²)

• 1.81 x 10⁵
• 1.81 x 10³
• 1.81 x 10⁶
• 1.81 x 10⁴

Multiple Choice

What is the ONLY thing that matters when adding and subtracting numbers in scientific notation?

• That the exponents are different

• That the constants are the same

• That the exponents are the same

• That both constants are positive

Multiple Choice

True or false: When moving the decimal, if you move left, the exponent gets bigger, and if you move right, it gets smaller.

• True

• False

Multiple Choice

How many numbers can be in front of the decimal if the number is in correct scientific notation?

• Only a Zero

• One

• Two

• Any amount

Multiple Choice

 $-2v\ +\ v\ =\ 3$  

• 4

• $-5$

• $-3$

• 5

Multiple Choice

 $x+2+6=8$  

• 0

• 14

• 8

• 4

Multiple Choice

 $96=6\left(k+8\right)$  

•  $12$  

•  $8$  

•  $-4$  

•  $9$  

Multiple Choice

x-3=10

• x=7
• x=10.3
• x=5
• x=13

Multiple Choice

4x-3=17

• x=5
• x=20
• x=21
• x=4

Multiple Choice

4 = 2(x + 3)

• 1/2
• 7/2
• -1
• 5

Multiple Choice

3y+6+4y-7=-8

• y=-1
• y=-8
• y=1
• y=7

Multiple Choice

-2x-7+3x=10

• x=-2
• x=3
• x=10
• x=17

Multiple Choice

10(h+1)-4=76

• h=10
• h=4
• h=7
• h=76

Multiple Choice

Solve for v.

• 60
• -3
• 15
• 3

Multiple Choice

Solve for x.

• 55
• 60
• 15
• 35

Multiple Choice

6 - 3a = 21

• a= 9
• a= -9
• a= -5
• a= 5

Multiple Choice

6 ( 2n + 5 ) = 66

• 3
• 5.08
• 8
• 432

Multiple Choice

5h - 6 - h + 10 = 12

• h= 12

• h= 2

• h= 0

• h= 5

Multiple Choice

• x = 24
• x = 12
• x = 17.5
• x = 19.5

Multiple Choice

5x+1=2x-5

• x=-2
• x=-6
• x=3
• x=.5

Multiple Choice

2x-1=3x+8

• x=7
• x=-9
• x=5
• x=3

Multiple Choice

4x+9=-2x-15

• x=-4
• x=-24
• x=-6
• x=1

Multiple Choice

4a-2=3a-7

• a=-9
• a=-2
• a=7
• a=-5

Multiple Choice

1x-6=2x+3

• x=-9
• x=3
• x=9
• x=2

Multiple Choice

 $21=3+4n+5n$  

• 9

•  $-7$  

• 6

• 2

Multiple Choice

 $-118=-5\left(4+7x\right)+7$  

•  $-5$  

•  $-9$  

•  $3$  

•  $-1$  

Multiple Choice

 $97=-3\left(6n-5\right)-8$  

•  $-10$  

•  $16$  

•  $-5$  

•  $-2$  

Multiple Choice

4 = 2(x + 3)

• 1/2
• 7/2
• -1
• 5

Multiple Choice

10(h+1) - 4 = 76

• h=10

• h=4

• h=7

• h=76

Multiple Choice

2x - 3 + 4x = 27

• 12

• 4

• 5

• 15

Multiple Choice

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

Multiple Choice

-49 - x = -8x + 70

• 15
• 17
• 14
• 19

Multiple Choice

-7x - 36 = 20 -3x

• -12
• -14
• 15
• 8

Multiple Choice

-55 + 4x = 80 + 9x

• -27
• -21
• -25
• -20

Multiple Choice

Solve for x:
5x - 14 = 8x + 4

• x = 6
• x = -6
• x = -18/13
• x = 10/3

Multiple Choice

14p - 8 = 22 + 20p

• -5

• 5

• 30

• -30

Multiple Choice

2x = x + 3

• 6
• 3
• 2
• x

Multiple Choice

7x = 3x + 24

• 6
• 10
• 14
• 4

Multiple Choice

6z = 49 - z

• 49
• -7
• 6
• 7

Multiple Choice

5x+1=2x-5

• x=-2
• x=-6
• x=3
• x=.5

Multiple Choice

2x-1=3x+8

• x=7
• x=-9
• x=5
• x=3

Multiple Choice

4x+9=-2x-15

• x=-4
• x=-24
• x=-6
• x=1

Multiple Choice

4a-2=3a-7

• a=-9
• a=-2
• a=7
• a=-5

Multiple Choice

1x-6=2x+3

• x=-9
• x=3
• x=9
• x=2

Multiple Choice

 $21=3+4n+5n$  

• 9

•  $-7$  

• 6

• 2

Multiple Choice

 $-118=-5\left(4+7x\right)+7$  

•  $-5$  

•  $-9$  

•  $3$  

•  $-1$  

Multiple Choice

 $97=-3\left(6n-5\right)-8$  

•  $-10$  

•  $16$  

•  $-5$  

•  $-2$  

Multiple Choice

4 = 2(x + 3)

• 1/2
• 7/2
• -1
• 5

Multiple Choice

10(h+1) - 4 = 76

• h=10

• h=4

• h=7

• h=76

Multiple Choice

2x - 3 + 4x = 27

• 12

• 4

• 5

• 15

Multiple Choice

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

Multiple Choice

-49 - x = -8x + 70

• 15
• 17
• 14
• 19

Multiple Choice

-7x - 36 = 20 -3x

• -12
• -14
• 15
• 8

Multiple Choice

-55 + 4x = 80 + 9x

• -27
• -21
• -25
• -20

Multiple Choice

Solve for x:
5x - 14 = 8x + 4

• x = 6
• x = -6
• x = -18/13
• x = 10/3

Multiple Choice

14p - 8 = 22 + 20p

• -5

• 5

• 30

• -30

Multiple Choice

2x = x + 3

• 6
• 3
• 2
• x

Multiple Choice

7x = 3x + 24

• 6
• 10
• 14
• 4

Multiple Choice

6z = 49 - z

• 49
• -7
• 6
• 7

Multiple Choice

Slope is know as rise/

• run
• fall
• none
• rise

Multiple Choice

In the equation y=mx+b, what does the m represent?

• slope
• y-intercept
• linear
• point-slope

Multiple Choice

What does 'b" represent in y=mx+b

• y-intercept
• macaroni
• nothing
• slope

Multiple Choice

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

• 2
• 3
• 5
• Cannot be Determined 

Multiple Choice

What is the slope of the line with the equation
 $y\ =\ -\frac{3}{2}x\ +\ 4$  

•  $-\frac{3}{2}$  

•  $\frac{3}{2}$  

•  $4$  

•  $-4$  

Multiple Choice

What is the y-intercept of the line with the equation
 $y\ =\ -2x\ +\ 4$  

•  $-2$  

•  $2$  

•  $4$  

•  $-4$  

Multiple Choice

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

• 2
• 3
• 5
• Cannot be Determined 

Multiple Choice

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

• -2
• 3
• 5
• Cannot be Determined

Multiple Choice

Graph the line with the equation
 $y\ =\ -\frac{2}{3}x\ +\ 4$  

Multiple Choice

How do you calculate slope using a graph?

• rise over run
• run over rise
• look at the y intercept
• look at the x intercept

Multiple Choice

Find the slope

• -5/3
• -3/5
• 5/3
• 3/5

Multiple Choice

Write the equation of the graph in slope-intercept form

• $y=-2x-4$

• $y=2x\ -\ 4$

• $y=\frac{1}{2}x-4$

• $y=-\frac{1}{2}x-4$

Multiple Choice

Find the slope:

• 3/4
• 4/3
• -3/4
• -4/3

Multiple Choice

Find the slope of the line.

• 1/2
• -1/2
• 2
• -2

Multiple Choice

Find the slope of the line.

• -2
• 2
• -1
• 1

Multiple Choice

Find the slope of the line.

• -5/4
• 5/4
• -4/5
• 4/5

Multiple Choice

Graph the line with the equation
 $y\ =\ -\frac{1}{3}x\ -\ 4$  

Multiple Choice

Find the slope of the line.

• 1/4
• -1/4
• -4
• 4

Multiple Choice

Find the slope of the line.

• 4/2
• -4/2
• 2
• -2

Multiple Choice

Find the slope

• -5/3
• -3/5
• 5/3
• 3/5

Multiple Choice

Find the slope:

• 3/4
• 4/3
• -3/4
• -4/3

Multiple Choice

The slopes of parallel lines are...

• the same

• opposite

• always different

Multiple Choice

Slope is know as rise/

• run
• fall
• none
• rise

Multiple Choice

Find the slope of the line.

• -2
• 2
• -1
• 1

Multiple Choice

Find the slope of the line that passes through:
(6,7) and (4,2)

• 2/5
• -5/2
• 5/2
• -1/2

Multiple Choice

Find the slope of the line that passes through: 
(2, 4) and (6, 12)

• 1/2
• -1/2
• 2
• -2

Multiple Choice

Find the slope of the line that passes through:
(10, 1) and (5, 2)

• 1/5
• -1/5
• 5
• -5

Multiple Choice

What is the slope represented in the table?

• slope: $\frac{1}{2}$

• slope: $2$

• slope: $-\frac{1}{2}$

• slope: $-2$

Multiple Choice

What is the Slope represented in this table?

• slope: $-\frac{1}{4}$

• slope: $-4$

• slope: $\frac{1}{4}$

• slope: $4$

Slope

Topics in this quizizz:

- Identifying slope (direction)

- Finding slope of a line (steepness)

- Slope from a Table

- Slope from an Equation

Identifying Slope of a Line

• Slope can tell us the direction of the line!

• Refresh yourself of the 4 types of slope using the picture to the right:

Multiple Choice

What type of slope?

• positive

• negative

• zero

• undefined

Multiple Choice

What type of slope?

• negative
• steep
• undefined
• zero slope

Multiple Choice

What type of slope?

• zero slope
• undefined
• negative
• positive

Multiple Choice

What type of slope?

• undefined
• positive slope
• negative slope
• zero slope

Finding the Slope of a Line

• Slope can tell us how steep a line is!

• Each line can be assigned a value (a #) that tells us how steep the line is.

• Slope is written as a ratio (rise/run)

• Always make sure to simplify your answer!

Multiple Choice

Find the slope of the line below using rise/run.

• $\frac{2}{3}$

• $\frac{3}{2}$

• 3

• $\frac{1}{3}$

Multiple Choice

Find the slope of the line below using rise/run.

•  $\frac{1}{2}$  

•  $\frac{2}{1}$  

• 2

• 1

Multiple Choice

Find the slope of the line below using rise/run.

• 3

•  $\frac{1}{3}$  

• 2

• 1

Multiple Choice

Find the slope of the line below using rise/run.

•  $\frac{5}{3}$  
  

•  $\frac{3}{5}$  
  

• 5

•  $\frac{5}{4}$  
  

Multiple Choice

Find the slope of the line below using rise/run.

•  $\frac{1}{2}$  
  

•  $\frac{4}{2}$  
  

• 2

• 3

•  $\frac{2}{3}$  

Finding slope from a Table

• Slope = change in y/change in x

• Use the table to find the value the y is changing by. That is the numerator!

• Use the table to find the value the x is changing by. That is the denominator!

• ANOTHER OPTION: Graph the points and count rise/run

Multiple Choice

Find the slope. Simplify, if you can.

• $\frac{2}{5}$

• $\frac{5}{2}$

• $2\ \frac{1}{2}$

• 2

Multiple Choice

Find the slope. Simplify, if you can.

•  $\frac{1}{2}$  
  

•  $\frac{4}{8}$  

• 4

• 2

Multiple Choice

Find the slope. Simplify, if you can.

• 3

•   $\frac{1}{3}$  

•  $-\frac{1}{3}$  

• -3

Slope from an equation

• The number in front of the x in the equation is the slope!

Multiple Choice

Identify the slope in the equation:

 $y=8x$  

• 8

• 1/8

• -8

• 0

Multiple Choice

Identify the slope in the equation:

 $y=\frac{5}{6}x$  

•  $\frac{5}{6}$  

•  $\frac{6}{5}$  
  

• 5

• 6

Fill in the Blank

 $y=x+5$  

Identify the slope in the equation: