Write the expression using exponents.
5 · 5 · 5 · 5 · 5
(5)^5
100
Determine whether the number is prime or composite.
39
Composite
39 · 1=39 and 13 · 3=39
100
Express the number is standard form.
4.12 x 10^6
4,120,000
100
Find the square root.
√256
16
100
Sean is building a square deck off of the back of his house. Sean has a building permit for a 441-square foot deck. How long will each side of the deck be?
21 ft.
200
Write each expression using exponents.
(-7)(-7)(-7)(-7)
(-7)^4
200
Determine whether the number is prime or composite.
29
Prime
200
Express the number is standard form.
6.72 x 10^-7
.000000672
200
Find the square root.
√-25
No Solution
200
Mr. Daniels is building a clubhouse for his children. He has decided that the floor will be a square with an area of 64 square feet. Write this number using a power greater than 1 and a lesser base.
(8)^2
300
Evaluate the expression if x=3, y=-2, and z=4.
z^2 - y^2
12
300
Write the prime factorization the number. Use exponents for repeated factors.
56
(2^3) · 7
300
Express the number in scientific notation.
.0000743
7.463 x 10^-5
300
Estimate each square root to the nearest integer.
√96
10
300
Renata’s tool cabinet is a rectangular box with a volume of 105 cubic feet. Find the dimensions (length, width, and height) of the cabinet if each dimension is a whole number greater than 1.
3ft. by 5ft. by 7ft.
400
Evaluate each expression if g=3, h=-1, m=9.
-2(h^4 - m^2)
160
400
Factor each monomial.
16(r^2)(s^2)(t^2)
2 · 2 · 2 · 2 · r · r · s · s · t · t
400
Order the set of numbers from least to greatest.
4.02 x 10^-8, 4.15 x 10^-3, 4.2 x 10^2, 4.0 x 10^-8
4.0 x 10^-8, 4.02 x 10^-8, 4.15 x 10^-3, 4.2 x 10^2
400
Estimate each square root to the nearest integer.
√180
13
400
In 1995, the average home computer had a speed of about
10^6 cycles per second. In 2004, the average home computer had a speed of about 10^9 cycles per second. How many times faster were the computers in 2004 as compared to those in 1995?
1,000 times faster
500
Evaluate each expression if g=3, h=-1, m=3.
4(2m - 3)^2
36
500
Factor each monomial.
-35(x^3)(y^3)
-1 · 5 · 7 · x · x · x · y · y · y
500
Order the set of numbers from least to greatest.
210,000,000, 2.05 x 10^8, 21,500,000, 2.15 x 10^6
2.15 x 10^6, 21,500,000, 2.05 x 10^8, 210,000,000
500
Estimate each square root.
-√361
-19
500
Ms. Masse’s biology class is conducting an experiment to record the growth of a certain kind of bacteria. Each student has a lab dish containing 2 bacteria which are able to double every day. How many bacteria will be present in a student’s lab dish after two weeks?