135 terms

What integers are a factor of 48?

1 2 3 4 6 8

What integers are a factor of 8748?

1 2 3 4 6 9

How many factor pairs are there for 72? How many factors?

6 (1 2 3 4 6 8, 9 is a pair with 8 so isnt counted twice) 7 (1 2 3 4 6 8, 9)

How many factor pairs for 48? How many factors?

6 (1 2 3 4 6 8) 6 (1 2 3 4 6 8)

How many factor pairs for 21? How many factors?

3 (1 3 7) 3 (1 3 7)

What are the 1st 15 prime numbers?

2 3 5 7 11 13 17 19 23 29 31 37 41 43 47

What are all the prime numbers between 50 and 100?

53 59 61 67 71 73 79 83 89 97

Is one a prime number? (Y/N/CBD)

N

What are 72's prime factors?

2 2 2 3 3

What are 48's prime factors

2 2 2 2 3

What is the GCF between 30 (235) & 24 (2223) ? LCM?

6 120

x has a prime box with the following numbers (5 5 5) what is x?

125

x has a prime box with the following numbers (5 2 3) what is x?

30

What is the LCD & GCF between 12 & 24?

12 24

What is the LCD & GCF between 30 & 3?

3 30

What is the LCD & GCF between 72 & 7?

1 504

What common factors would go in the common area for a venn diagram of 12 & 16?

2 2

If 2 numbers have no primes in common then their GCF is? There LCM is?

1 & their product

If z is divided by 7 or by 18, an integer results. Is z/42 an integer? ("whole number") (Y/N/CBD)

Y

If 80 (22225) is a factor of r, is 15 (35) a factor of r? (Y/N/CBD)

CBD

If j is divisible by 12 (223) and 10 (25) is j divisible by 24 (2223)? (Y/N/CBD)

N (one of the 2's is shared)

Given that 6 is a divisor of r and r is a factor of s, is 6 a factor of s? (Y/N/CBD)

Y

If 24 (2223) is a factor of h and 28 (227) is a factor of k, must 21 (37) be a factor of hk? (Y/N/CBD)

Y

If k is divisible by 6 (k=23) and 3k is not divisible by 5, is k divisible by 10? (3=3, k=23) (Y/N/CBD)

N (there is no 5 in venn diagram)

If 60 (2233) is a factor of u, is 18 (233)a factor of u? (Y/N/CBD)

CBD

If s is a product of 12 and t is a multiple of 12, is 7x + 5t a multiple of 12? (Y/N/CBD)

Y

With a total point count of 21 how many times did Timmy win? 1st=7 pts, 2nd=3pts 3rd=1pt

2 (1st once & 2nd once)

When mulptilpying integers if you have even one even number the product will be even? (Y/N/CBD) If 3 even the product will be divisible by 8? (Y/N/CBD)

Y Y

The only way to have an odd answer when adding, subtracting or multiplying is if you add or subtract and odd & an even?

N (OxO=O)

Division has one simple rule of divisibility for odds and evens? (Y/N/CBD)

CBD

odd+even+odd=odd (Y/N/CBD)

N

If t is odd then t² is odd? (t-1)² ? (t-1/100)² ? (Y/N/CBD)

Y N CBD

Because OxO=O then the opposite O/O=O? (Y/N/CBD)

CBD (There are no rules to division)

If a+b is even, ab is even? (Y/N/CBD)

CBD

If h is even, j is odd and k is odd then k(h+j)=even? (Y/N/CBD)

N

If xy is even and z is even, then x + z is even? (Y/N/CBD)

CBD

│-5│ , │5│, both are the same thing? (Y/N/CBD)

Y

If Signs are the Same the answers poSitive, if Not the answer is Negative? (Y/N/CBD) If both intergers are Even the answEr is Even if nOt then Odd? (Y/N/CBD)

Y CBD

56 / (-7) = NEG#? (Y/N/CBD)

Y

(-7) x 7 x (-6) x (-2) / -5 = NEG#? (Y/N/CBD)

N

5 negative values plus unknown number of positive values will always equal negative value? (Y/N/CBD)

CBD (rules do not apply to addition. ex )

Count the number of negatives in a DIV or MULT problem, if there is an even number the problem is positive if an odd number then negative? (Y/N/CBD)

Y

If │z-4│ = 4-z then we know z is a number between n-n?

0-4

│z│× y², given that zy ╪ 0? (P/N/CBD)

P

│ab│/b, given that b<a<0? (P/N/CBD)

N (P/N=N)

h²×²k³m², given that k<0 and hm╪0? (P/N/CBD)

N (odd # of odds = N)

What is the sum of all integers from 20 to 100, inclusive?

4860 (60×81)

If there are a set of 3 consecutive integers the product will always be divisible by what numbers?

1 2 3 6

If there are a set of k consecutive integers the product will always be divisible by what?

k!

If z² = 16, is z equal to 4? (Y/N/CBD)

CBD (pg64)

Is -4² equal the same as 4²? (Y/N/CBD)

Y (16)

An even exponent changes the sign of its base? Is -4² = a positive integer? Is 4² = a positive integer (Y/N/CBD)

CBD Y Y

-65³ = ? -1³ ? -0³ ? (N/P/0)

N N 0 (this is the only way exponent can change base)

5493³ = ? 1³ ? 0³ ? (N/P/0)

P P 0

-738² = ? -1² ? -0² ? (N/P/0)

P P 0

94787² = ? 1² ? 0² ? (N/P/0)

P P 0

A negeative base with an odd exponent is the only way the product will result in a negative? -3³ = -9? (Y/N/CBD)

Y Y

z¹ = z¹×² = z¹×³ if z = ?

0 1

z²×² = z¹×² = z² if z = ?

0 1 -1

¾² =

9/16

¾³ =

27/64

Is this a true statement: 0.6² > 0.6³ (Y/N/CBD) 0.6² > 0.5² ? 0.6³ > 0.5²

Y Y N

0.5³ = 0.125 = ? / ?

1/8

0.6³ = 0.216 ≈ ? / ?

1/5 (roughly)

8 × 125 = 2³ × 5³ = (? × ?)³

2 5 (2×2×2=8 & 5×5×5=125)

2³+5³=?, (2+5)³=?, 2³×5³=?, (2×5)³ =?

133 343 1000 1000 (+ is different then ×when compounding bases w/ exponents)

3² × 3² = 3×3×3×3 = 3²×² (Y/N/CBD)

Y

3² + 3² = 3×3×3×3 = 3²×² (Y/N/CBD)

N (3² +3²=18)

3² + 3² = 3×3 + 3×3 (Y/N/CBD)

Y

3^7/3^7=?

1

3×3²= ?

27

3^0 =

1

3^6/3^2 =

3^4

(3/4)^-3 =

64/27

1/4-² =

16

(-2)-³ = 1/(-2)³

-1/8

25²/³ =

125

2^4 × 3^4 =

6^4

Simplify: 5³ × 2² =

10³

Simplify: yⁿ× zⁿ

(yz)ⁿ

Simplify: z^a × z^b

z^a+b

Simplify: z^a / z^b

Z^(a-b)

Simplify: (a/b)ⁿ

aⁿ/bⁿ

Simplify: (aª)º or (aº)ª

aºª

Simplify: z-ⁿ

1/zⁿ

Simplify: º√xª = (º√x)ª

xª/º

Simplify: aⁿ + aⁿ + aⁿ =

3aⁿ

You can/cannot simplify exponential expressions when they are linked by multoplication and division?

can

Simplify: 12^7/3^7 = (3x2x2)^7/3

4^7

3º4³

4³

3ⁿ-ⁿ(2x2)³

4³

Factor: 3³+12³

3³(1+4³)

Factor: 7²**² + 7³**³*²

7^4(7²+1) or 7^4(50)

You can/cannot factor exponential expressions when they are linked by addition and subtraction?

can

Factor: 6^5-6³

6³(6²-1)

Factor: 4^20 + 4^21 +4^22

4^20(21) or 4^20(3x7)

If r³ + │r│ =0, what are the possible values of r?

0 -1

Simplify: y² × y^5/(y²)^4

1/y

If b>a?0, and c╪0, is a²b³c^4 positive?

yes

if y^5>0, is y<0?

no

if x^4 =16, what is │x│?

2

x³ < x². Describes the possible values of x.

Any non-zero less then 1

Does a² + a^4 = a^6 for all the values of a? (Y/N/CBD)

N

2^-5

1/32

8^5/3

32

9^-1/2

1/3

(4/9)^-3/2

27/8

7^6 / 7^4

49

8^4(5^4)

2560000

2^4 × 2^5 / 2^7 -2^4

-12

9^4 / 3^4 + (4²)³

4177

Root is the opposite of ?

exponent

³√64

4

√1

1

√2

1.4

√3

1.7

√4

2

√ 5

2.25

√9

3

√16

4

√25

5

√36

6

√49

7

√64

8

√81

9

√100

10

√121

11

√144

12

√169

13

√196

14

√225

15

√256

16

√400

20

√625

25

√900

30