Ratios & Proportions
How can you tell just by looking at a graph if it is proportional?
Straight line going through the origin
-155+155=
0
Solve for y.
4y+2=18
y=4
What is 65% of 81?
52.65
A 6-sided die is rolled. What is the probability of it landing on a 2?
1/6
0.16......
16.7%
A 6 pack of pens costs $3.36. What is the unit price?
$0.56
-7(-7)=
49
Solve for y.
7y-8=27
y=5
40.92 is what percent of 132?
31%
A 6-sided die is rolled. What is the probability of it landing on a number less than 5?
4/6=2/3
0.6....
66.7%
Sarah is bringing cookies to a party. She is bringing 12 cookies, y, for every 6 people at the party, x. What is the constant of proportionality?
2
14+(-19)=
-5
Alex stayed at a hotel for y nights. The cost was $80 per night, plus a one time fee of $20 because he brought his dog. Write an expression to represent the situation.
80y+20
A school assembly had 450 students in attendance, and 38% of them were 7th graders. How many students were 7th graders?
171
Kenzie has 2 red shirts, 4 black shirts, 2 pink shirts, and 6 gray shirts. If she picks a shirt at random, what color shirt is she least likely to pick?
Red and Pink
James went to get frozen yogurt. He got 2 toppings and it cost him $3 extra. His friend got 5 toppings and it cost him $6 extra. Is the number of toppings proportional to the cost of toppings?
No it is not proportional, there is no constant
-18/3=
-6
Solve for y.
8(2y-4)=16
y=3
12% of the library books are fiction. 45 books are fiction. How many books are in the library in total?
375
A spinner has numbers 1-12 on it. What is the probability it does not land on 2 or 10?
10/12=5/6
0.83....
83.3%
For every 2 ounces of dark chocolate, x, there are 8 ounces of almonds, y, in a bag of trail mix. Write an equation to represent the relationship between x and y.
y=4x
-27-78
-105
Simplify the expression.
6y+2(3+5y)
16y+6
Nike is having a 40% off sale. A pair of sneakers originally cost $125. What is the sale price of the sneakers?
$75
A spinner has the numbers 1-10 on it. What is the probability it lands on a multiple of 3?
3/10
0.3
30%