Exponents
A product of repeated factors can be expressed as a __________.
What is a power.
Use whiteboard:
An adult has thirty five trillion red blood cells. Write this in both standard form and scientific notation.
What are:
35,000,000,000,000
and
3.5 x 10^13
Write as a decimal: 3/16
What is:
0.1875
Solve:
6n - 1 = 4n - 5
What is: n = -2
The unit rate for $24 for 3 carwashes.
What is: $8 / 1 carwash
Write on whiteboard using exponents:
(-4)(-4)(-4) x b x b x b x b
What is: (-4)^3 b^4
Use whiteboards:
There are two hundred thousand alligators in the Florida Everglades. Write in both standard form and scientific notation.
What are:
200,000
and
2 x 10^5
Is this a terminating or repeating decimal, and is it rational or irrational? why?
3/16
What is a terminating decimal. 0.1875
it is a rational number because it terminates and can be written as a fraction.
Solve:
2/3x - 1 = 9 - 1/6x
What is: x = 12
Courtney biked 36 miles in 6 days, Craig biked 56 miles in 8 days. Who biked the lower number of miles each day?
What is: Courtney, she biked 6 miles/1 day and Craig biked 7 miles / 1 day.
Evaluate: (2)^5 x a^3
What is 32a^3
Evaluate in scientific notation:
(2.306 x 10^7) + (1.11 x 10^5)
What is:
2.3171 10^7
Is this a terminating or repeating decimal: 7/17, is it rational or irrational? why?
What is neither, it goes on to infinity. It is irrational because it does not terminate or repeat and can't be written as a fraction.
Solve:
-y + 3(2 + y) = -6(y - 1)
What is: 0
The slope of the line that these points are located on is:
(4,108) (8,216)
What is: 27
Evaluate: y^4 + z^3: when y = 1/2 1nd z = 7
What is: 343 1/16
Evaluate in scientific notation:
(3.006 x 10^4) - (1.25 x 10^3)
What is:
2.881 x 10^4
4.333... written as a mixed number.
What is 4 3/9
The equation 4(x - 8) + 12 = 2(2x - 9) has how many solutions? Why?
What is: no solution, because -20 does not equal -18.
The points given lie on a line, find the slope:
X: -1 2 5 8
Y: 3 -1 -5 -9
What is: -4/3
Use white board:
How many pine trees are there? 2^4 x 4 x 6^4
How many oak trees are there? 3^4 + 6^3 + 9^3
How many total trees are there?
What are:
82944 pine trees
1026 oak trees
83970 total trees
Solve in scientific notation:
A store began its day with $2350 in its safe, and ended the day with $(5.268 x 10^4) How much money did the store have at end of the day?
What is:
$(5.503x10^4)
All integers are rational numbers, are all rational numbers integers? Why or why not?
What are: All integers are rational numbers, but not all rational numbers are integers because integers consist of positive and negative whole numbers and zero. Rational numbers include decimals and fractions.
This equation has how many solutions? Why?
-4y - 3 = 1/3(12y - 9) -8y
What is: Infinitely many solutions, because
-4y - 3 = -4y - 3
The cost of paper wood varies directly with the amount linear feet bought. Suppose 10linear feet costs $250. Write a direct variation equation to represent the relationship. Then identify the constant of variation and interpret its meaning.
What is:
y = 25x
COV: = 25
The wood costs $25 / 1 linear foot