Ratios
What is a ratio?
A ratio is a comparison of two numbers by division.
What is an expression?
An expression is a problem without an equal sign or answer.
What is an equation?
An equation is a problem is an equal sign and an answer.
What do these signs mean:
<
>
<
>
They mean:
<: less than
>: great than
<: less than or equal to
>: great than or equal to
What is a proportional relationship?
A proportional relationship is a step of ratios that are equivalent to each other.
Morgan needs 3 gallons of paint to paint the walls in his bedroom. If the paint he uses costs $24 per gallon, how much will he spend on paint to paint his room?
$72
What is the simplified answer to this expression:
4x + 3x - 5 - 2x
5x - 5
What is the biggest difference between an expression and an equation?
the equal sign
What does absolute value mean?
The distance from zero.
Which equation has a constant of proportionality equal to 2?
y=1/2x
2y=x
2x=2y
y=2x
y=2x
Andrew travels 359 miles in his car using 13 gallons of gas. How many miles can his car go per gallon?
27.6 miles per gallon
The perimeter of a square is 32x + 16 inches. Write an expression that can be used to represent one side length of the square.
8x + 4
Solve for m.
4m - 5 = 31
What is the sum of these values?
1.76 and 43%
2.19
Marion charges $7 per hour for babysitting. How much money wi8ll she earn if she babysits for 2.5 hours?
$17.50
Chloe jogged 3 miles in 45 minutes. How many minutes will it take her to jog 10 miles?
150 minutes
The length of a rope is 30 + 27x -12x yards. The rope is cut into 3 equal pieces. Write an expression to represent the length go one piece.
10 + 9x - 4x or 10 + 5x
Solve for x.
4x - 5x + 6 + 9x + 3 = 87
x = 12
On a quiz, every correct answer is worth 3 points and every incorrect answer is valued at -1 point. If Amelia gets 6 questions correct and 3 questions incorrect, what is her final score?
15 points
What does a proportional graph look like?
Answers may vary
Jimmy can write 3 pages in 15 minutes. How many pages can he write in an hour?
12 pages
Sales tax is a state is 8.25%. Write an expression that represents the total cost of an item m after sales tax is added.
0.0825m
Tyson has a collection of 35 pennies, 19 nickels, and some dimes which total $2.40. He uses this equation to determine the number of dimes x he has in his collection.
0.01(35) + (5)(19) + (10)(x) = $2.40
Do you agree with Tyson's equation? Explain your answer.
Answers may vary.
A bone is buried 2 feet below ground level. A dog digs 1/2 foot in 30 minutes. How many hour does it take the dog to dig to the bone?
120 minutes or 2 hours
Give a table that has a constant of proportionality between x and y or 3.