Simplifying Monomials
-8mn+9mn
mn
Convert the following from standard for to scientific notation: 7,640,000
7.64 x 106
Classify the function as exponential growth or decay.
y=3x - 5Growth
Determine whether the following represent geometric sequences. If yes, identify the common ratio.
4, 12, 36, 108...
Yes, r=3
Find the following square root.
Square root (4/81)
4/9
(ab)(6a5b)(-ab)
-6a7b3
Convert the following from scientific notation to standard form: 1.3 x 10-5.
0.000013
Create a table with the function y=(1/2)x . Include the following x-values: {-2, -1, 0, 1, 2}.
(-2, 4)
(-1, 2)
(0, 1)
(1, .5)
(2, .25)
Find the next three terms of each geometric sequence.
3, 15, 75...
375, 1875, 9375
10 SqRt 6
Find the area of a triangle that has a base of 3ab and a height of 4a2b.
6a3b2
Find the difference of the following. The final answer should be in scientific notation.
(9.2 x 105) - (5.1 x 104)
8.69 x 105
Create a table with the function y=(2/3)x + 2. Include the following x-values: {-2, -1, 0, 1, 2}.
(-2, 4.25)
(-1, 3.5)
(0, 3)
(1, 2.6)
(2, 2.4)
Write an equation to find the nth term of each sequence. Then find a9.
6, -18, 54, ...
an=6 (-3)n-1
39,366
Simplify the cube root of 135.
3 CbRt 5
(2a2b4)3 divided by 4a3b7
2a3b5
Find the product of the following.
(4 x 103) x (9.2 x 10-1)
3.68 x 105
The rent for an apartment was $6,600 per year in 2012. If the rent increased at a rate of 4% each year thereafter, use an exponential equation to find the rent of the apartment in 2017.
$8029.91
Write an equation to find the nth term of each sequence. Then find a9.
1536, 768, 384,...
an=1536 (1/2)n-1
6
Simplify the radical:
SqRt 100x3y
10x SqRt xy
(-6x4y6)2 divided by (-4x-3y5)3
(-9x17)/(16y3)
A cereal factory produces 9 x 106 boxes of cereal each month and ships them equally to 16 different distribution centers. How many boxes are sent to each distribution center? Give your answer in scientific notation.
5.625 x 105 boxes
The population of a town was 14,000 in 2010. If the population decreased at a rate of 1.5% each year thereafter, use an exponential function to find the population after 10 years.
12036 people
The table below shows the discount prices for a pair of shoes over several months. a.) Write a rule. b.) Find the price of shoes after 10 months.
Month | Price
1 | $80.00
2 | $72.00
3 | $64.80
an =80 (9/10)n-1
$30.99
Simplify the radical:
SqRt 72a6b3c2
6a3bc SqRt 2b