Monomials
Scientific Notation
Scientific Notation 2
Equations
Word Problems
100
Simplify: (3^5)^4
3^20
100
Express in scientific notation: 0.00003001
3.001 x 10^-5
100
Multiply: (3 x 10^7)(2.9 x 10^-9) Express your answer in scientific notation
8.7 x 10^-2
100
-2r – 12 = -4r – 8
r = 2
100
Seven less than two-thirds of a number is -15. What is the number?
The number is -12.
200
(-4xy^2)(-8x^4yz)
32x^5y^3z
200
Express in standard form: 4.82 x 10^4
48,200
200
1.428 x 10^10 ------------------ 2.1 x 10^3
6.8 x 10^6
200
5m – 2(m – 5) = -26
m = -12
200
Sixteen more than 4 times a number is the same as seven times the number decreased by 2. Find the number
The number is 6.
300
48x^5y^8 ------------- -6x^5y^12
-8 --- y^4
300
Express in scientific notation: -4,000,900
-4.0009 x 10^6
300
The weight of an average hippopotamus is 3.2 x 10^3 pounds. The weight of the average Red Kangaroo is 2 x 10^2 pounds. How many times heavier is the weight of the hippopotamus compared to the weight of the Red Kangaroo?
16 times heavier
300
3(x + 4) - 5 = 6x - 3(x - 2) + 1
infinitely many solutions
300
The sum of two consecutive odd integers is 156. Find the integers.
The integers are 77 and 79
400
8^5 * 7^3 * 7 * 8^4 -------------------------- 7^6 * 8^2 * 8
8^6 ----- 7^2
400
Mount Rushmore is eroding at a rate of 1 x 10^-4 in per year. This can also be written as 1.6 x 10^-9 mi per year. Which rate is a better description of the erosion? Why?
1 x 10^-4 in per year. This is a very small number, meaning the erosion is happening very slowly. It is more appropriate to use a smaller unit.
400
(9.5 x 10^5) + (8.12 x 10^4)
1.0312 x 10^6
400
-3x + 4x + 5 = -2(x - 3) + 3x
no solution
400
The length of a rectangle is 8 less than triple the width. The perimeter of the rectangle is 104 inches. Find the length and width of the rectangle.
The width is 15 inches. The length is 37 inches.
500
4^8 * 4^15 ------------- (4^4)^3
4^11
500
The mass of object A is 3.2 x 10^4 grams. The mass of object B is 4.8 x 10^8. How many times greater is the mass of object B when compared to object A?
15,000 times greater
500
Subtract: (4.7 x 10^7) - (2.2 x 10^5)
4.678 x 10^7
500
5/6x - 6 = 1/3x + 1/6x - 8 - 4
x = -18
500
The first of three numbers is four less than the second. The third of three numbers is two more than triple the second. If the first number is multiplied by three and increased by 20 the result is equal to the sum of the second and the third numbers. Find the numbers.
The first number is 2, the second number is 6 and the third number is 20.
M
e
n
u