Rates
Kyle rolls a number cube and flips a fair coin. What is the probability of the number cube landing on a number greater than 3 and the coin landing on heads?
1/4
In the diagram below, what is the value of x?
A supplementary angle with two angles
angle 1 = 4x + 2
angle 2= x + 3
35
What is the value of the expression (2x -3y / 8z - 5) when x = 3, y = –2, and z = 1?
4
The distance from William’s house to the store is 3,600 feet. William walked to the store at a rate of 320 feet per minute. He walked home from the store at a rate of 800 feet per minute. About how much longer did it take William to walk to the store than to walk home?
7 minutes
Jill has an empty container in the shape of a cube with a side length of 10 inches. She adds 800 in.3 of soil to the container. How much more soil is needed to FILL the container? *Volume*
200 in.3
The price of a dress on sale is $24. The original price of the dress was $29.95. What was the approximate percent discount
20%
Hannah bought these items for her family.
3 drinks that cost $1.15 each
2 hot dogs that cost $2.25 each
2 hamburgers that cost $2.75 each
4 bags of chips that cost $0.75 each
1 pack of nachos for $3.35
She paid for all of this with a $20 bill. How much change did she get back?
0.20
Brice rode his bike 1/9 of a mile in 1 /27 of an hour. At this rate, how many miles would Brice ride his bike in 2 hours?
5.33 miles
The seventh grade is having an ice-cream-sundae party. The menu for the party is listed here.
x vanilla or chocolate ice cream
x sprinkles, chocolate chips, or cherries
x hot fudge or strawberry syrup
Each student must choose one flavor of ice cream, one topping, and one flavor of syrup. What is the total number of possible ice-cream sundaes?
12
Which expression is equivalent to –6(x + 4) – 4x?
-10x -24
A dog walks 2/3 of a mile in 1/3 of an hour. At what rate is the dog traveling?
2 miles per hour
Juan has 48 marbles in a bag.
The marbles are green, yellow, red, and blue.
The chance of picking a green marble is 1 in 4.
The chance of picking a yellow marble is 1 in 12.
The chance of picking a red marble is 1 in 6
What is the probability of picking a blue marble?
1 in 2
Cathy has 6 pets. This is two more than twice as many pets as Amy. Which number sentence could be used to find the number of pets, p, Amy has?
2p + 2 = 6