Powers (Exponents)
Write the following in exponential form and then simplify:
4times4
4^2=16
4+5times(6-2)
4+5times(6-2)
4+5times4
4+20
24
Find the LCM of 15 and 9
Multiples of each is
15: 15, 30, 45
9: 9, 18, 27, 36, 45
So the LCM is 45
State the coefficients in this expression:
9x+3y-4+2z+7
9, 3, and 2
Write the following expression in word form (two ways).
4^3
four to the power of three
or
four to the third power
or
four cubed
21+10^2divide10
21+10^2divide10
21+100divide10
21+10
31
Find the GCF of 36 and 24.
List all the factors of 36 and 24 first.
36: 1, 2, 3, 4, 6, 9, 12, 18, 36.
24: 1, 2, 3, 4, 6, 8, 12, 24.
The GCF is 12
What is eight fewer than a number y written as an algebraic expression?
y-8
State the number of terms in the following expression:
9x+(2times8)-7
3
Write the following expression in expanded form, and then simplify.
3^5
3 times 3times 3times 3times 3=243
10+7^2-2times5
10+7^2-2times5
10+49-2times5
10+49-10
59-10
49
You go out to a grocery store to buy sausages and buns for a party you're hosting. Unfortunately, sausages come in a pack of 6, and buns come in a pack of 8.
What is the least number of sausages and buns you need to buy in order to make sure you are not left with any extra sausages or buns?
Find the LCM of the two numbers
6: 6, 12, 18, 24
8: 8, 16, 24
So 24 is the LCM
Write as an algebraic expression.
"The difference of double a number m and nine."
2m-9
Evaluate the expression if y = 8
3y-9
24-9
3(8)-9
15
9.021^0
1
(Anything to the power of 0 is 1)
3+2^3-(9+1)
3+2^3-(9+1)
3+2^3-10
3+8-10
11-10
1
Write the prime factorization of 192 in exponential form.
192 can be split into 3 times 64. 3 is prime and 64 can be divided into 8 times 8. Both of these are not prime and can be split into 2 and 4. 2 is prime and 4 is split into 2 times 2.
So we have
3 times 2 times 2 times 2times2times2times2
3times2^6
Write half the sum of seven and a number n.
1/2(7+n)
Evaluate the expression if x = 3 and y = 5
x^2-9y
(3)^2-9(5)
9-45
-36
(2/5)^4
(2/5)^4=2/5times2/5times2/5times2/5=16/625
3(9.2+1)+5^2
3(9.2+1)+5^2
3(10.2)+5^2
3(10.2)+25
30.6+25
55.6
Write the GCF of 14 and 39.
List all the factors of 14 and 39 first.
14: 1, 2, 7, 14.
39: 1, 3, 13, 39.
The GCF is 1.
Write as an algebraic expression.
"The quotient of 2 added to a number m, and 9
(2+m)/9 or (2+m) divide9
Evaluate 3mp-7n if n = 11, m = 6, and p = 4
3(6)(4) - 7(11)
72-77
-5
What is the exponent?
4times4times4times4times 4
5
because this is
4^5
(80-2^6)/(2(4+3^2-1)
80-64 = 14
2(4+9-1)
2(13-1)
2(12)
24
16/24=2/3
Write the prime factorization of 984
2^3times3times 41
A babysitter charges $12 per hour and a separate one time fee of $20 for gas. Write an expression that represents how much she gets paid after h hours.
12h + 20
Find the Greatest Common Factor of 48 and 80.
List all the factors of 48 and 80 first.
48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The GCF is 16.