Geometry
True or false: Vertical angles combine to make a 180 degree angle.
False
Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs. Does this situation represent additive inverses? Why or why not?
Yes, Adrianna ends up at the point where she started, so the distances traveled equal out to zero.
Simplify the expression: 3(7x) – 2(4 – x)
23x - 8
The equation y = 5.5x represents a proportional relationship. What is the constant of proportionality?
5.5
Eric found that about 60% of 80 classmates at school like hip-hop music. However, 70% of his 60 relatives like hip-hop. Do more classmates or relatives like hip-hop?
Classmates
∠ABD is 90°, split by line BC. The measure of ∠ABC is x° and the measure of ∠DBC is (3x + 10)°. What is the value of x?
x = 20
Four out of nine dogs weigh less than 20 pounds. What is the decimal equivalent for the number of dogs weighing less than 20 pounds?
0.44444.....
Solve the equation: 3(17x – 6.5) = 108
x = 2.5
Oscar rides his skateboard 58 mile in 14 hour. How fast, in miles per hour, does he ride his skateboard?
4.14 mph
On the first visit to the veterinarian's office, Cora's kitten weighed 550 grams. On the second visit, the kitten had gained 350 grams. On the third visit, the kitten had gained another 300 grams. What is the percent increase since the first visit in the kitten’s weight rounded to the nearest percent?
118%
What is the circumference, in centimeters, of the circle with a radius of 12 cm? Use 3.14 for pi.
75.36 cm
Five sixths of Teddy's cousins can do 15 push-ups in one set. Which decimal is equivalent to the fraction of Teddy’s cousins who can do 15 push-ups?
0.83333333...
Rose bought a bag of potatoes for $6.00 and some granola bars for $5.25 per package. Her total bill was $74.25. How many packages of granola bars did she buy?
13
Maggie is rock climbing. After reaching the summit, she descends 14 feet in 2 & 1/3 minutes. If she continues at this rate, where will Maggie be in relation to the summit after 8 minutes?
-48 ft
Michael and Imani go out to eat for lunch. If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer to the nearest cent.
$27.32
The area of a circle is 153.86 square meters. What is the diameter of the circle? Use 3.14 for pi.
14 m
A marathon is 26.2 miles long. There is a water station every 1 & 1/4 miles along the race route. How many water stations are needed for this marathon?
21 water stations
Ezra is saving money to buy a snowboard that costs $225. He already has $45 and can earn the rest by walking ten dogs. If d represents how much he earns for walking each dog, write an equation that can be solved to find how much he is paid to walk each dog?
225 = 10d + 45
There are 9.5 ounces of juice in a container. An additional 1.75 ounces of juice are poured into the container each second. How many ounces of juice are in the container after 6 seconds?
20 ounes
Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn’s estimate?
2.14%
The wheels on Jason’s dirt bike measure 19 inches in diameter. How many revolutions will the wheels make when Jason rides for 500 feet? Use 3.14 for π. Round to the nearest whole revolution.
101 revolutions
Javier had $305 in his bank account. His bank charges a fee of $7.50 each month that a balance is below $500. If he makes no other deposits or withdrawals, how much money is in Javier’s account at the end of three months?
$282.50
I like your bravery. Consider this a gift.
Here's a free 500 points.
Silas has 5&1/4 cups of flour. He uses 3&1/2 cups to bake bread, then he borrows another 2 cups from his neighbor. He wants to bake cookies, which take 2&3/4 cups of flour. Does he have enough? How much will he have left over, or how much more does he need?
Yes, he will have 1 cup left.
Jorge finds that 56% of his 75 classmates like salsa music and 80% of his 60 relatives like salsa music. How many more of Jorge’s relatives, as compared to his classmates, like salsa music?
6