Ratios & Rates
Six oranges cost $5.34. How much does 1 orange cost?
$0.89
Are the following expressions equivalent?
2(x+2)
2x+4
Yes
Solve for x.
x+14=50
x=36
$44.00
0.6
Doug read 231 pages in 7 hours. He read the same number of pages each hour. How many pages did he read in 1 hour?
33 pages
Use the distributive property to write an equivalent expression
2x+6
2(x+3)
solve for m.
m-16=42
m=58
Write 1 and 1/4 as an improper fraction
5/4
add 1/4+1/2
3/4
Samantha picked 45 oranges in 5 minutes. Write this rate as a unit rate.
9 oranges/1 minute
(14y+x) + 22y
x+36y
solve for h.
h/4=9
h=36
Write 3 and 2/5 as a percent
340%
You have 6 apples and x amount of oranges. Write an expression that shows the total number of fruit?
6+x=t
There are 16 boys and 12 girls in a boxing class. Write the ratio that compares the total number of students to girls.
30:12 -----> 5:2
Factor
12x+8y
4(3x+2y)
solve for x.
2x-4=10
x=7
143
Write a word problem for the following equation
s-4=a
Example: Adam had 4 less dollars than Sam.
Angelica is out grocery shopping. She buys 6 pounds of bananas for $6.00. What is the unit rate for the bananas in $/pound? How much would 20 bananas cost in dollars?
$1.00/1 pound
20 bananas will cost $20.00
Define equivalent expressions
two expressions are equivalent when the expressions have the same value, no matter what the value is substituted for x.
Define inverse operations and provide an example.
Inverse operations are opposite operations that undo each other.
example: addition and subtraction are inverse operations
The original price of a pair of shoes is $42. The sale price is 20% off the original price. What is the amount off the original price?
$8.40
Find the mean, median, and mode of the data set.
5,1,4,2,5,8,6,1
mean=4
median= 4.5
mode= 1 and 5