Rational and Irrational
Can be written as a fraction
When dividing powers with the same base ________ the base and __________ the exponents.
keep, subtract
How can I manipulate numbers in scientific notation to have the same exponent?
Move the decimal. Left makes exponent larger, right makes exponent smaller.
What TWO things does a line have to be proportional?
1. Goes through the origin or (0,0)
2. Changes at a constant rate
What is slope-intercept form? You must label the slope and y-intercept.
y=mx+b
m=slope and b=y-intercept
Rational. It equals 3.
six cubed plus 5 to the third power
341
(3.17 x 10^4) + (5.2 x 10^5)
5.517 x 10^5
5 yards of fabric at the local fabric store costs $8.50. How much does one yard cost?
$1.70
What is the formula to find slope?
y2-y1 / x2-x1
Rational or Irrational?
0.13131313131313...
Rational because repeating
18 squared divided by 18 to the negative fourth power.
18 to the sixth power
Joseph normally drives 3 x 10^1 miles everyday. Today, he has to drive to Knoxville, which is 3 x 10^2 miles away. How many times greater is the drive Joseph made today than normal? Write your answer in scientific and standard.
1 x 10^1 times or 10 times
24 pencils costs $1.20. What is the price per pencil? How much would 6 pencils cost?
1. $0.05 or 5 cents
2. $0.30 or 30 cents
Find the slope of the line that crosses through (4,-2) and (1,5)
-(7/3)
Estimate the square root of 245 to the nearest whole number.
16
EVALUATE 9 squared times 3 to the fourth power
6,561
(4.5 x 10^7) x (8.1 x 10^-5)
3.645 x 10^3
You can buy 16 drumsticks at Charlie's Chicken Hut for $17.60. What is the price per drumstick? What is the cost for 2 dozen drumsticks?
$1.10 per drumsticks
24 drumsticks is $26.40
y=2x-6
Order the following on a number line: Square root of 32 ; 5.5 ; square root of 25 ; (37 / 6)
square root of 25=5 ; 5.5 ; square root of 32 = 5.56 ; (37 / 6) = 6.2
What do we do with an exponent when it is negative? You must use the CORRECT vocabulary term. No notes!!
Take the reciprocal and make the exponent positive.
7.67 x 10^2 seconds.
A truck travels 60 miles in 4 hours, then stops to rest. Then, he travels 80 miles in 3 hours before making another stop. Does the truck travel at a constant rate on both drives? How do you know?
No. 60 miles in 4 hours is 15 miles per hour. 80 miles in 3 ours is 26.7 miles per hour.
The water level of a river is 34 ft. It recedes at a rate of 9 feet in 18 days. Write an equation in slope intercept form for the water level (y) after (x) days. Label each part of the equation (x,y,slope,y-int).
y=-0.5x+34