Geometry & Trigonometry
The formula for the circumference of a circle
pi * 2r
pi * d
the purpose of a transition word
connecting ideas and show their relationship
What is 20% of 150?
30
What is the message being conveyed by a story called
Solve for x
3x+6=21
x = 5
The sum of the interior angles of a triangle
180 degrees
what does the word reluctant most nearly mean?
"Despite receiving an invitation, he was still reluctant to attend"
unwilling or hesitant
A car travels 180 miles in 3 hours. What is its average speed?
60 miles per hour
A researcher claims that studying animals in their natural habitats provides more accurate observations than studying them in laboratories.
Which piece of evidence would best support this claim?
A. Animals in laboratories exhibit fewer behavioral changes over time.
B. Animals in natural habitats demonstrate behaviors rarely observed in controlled settings.
C. Laboratory studies allow researchers to monitor animals under consistent conditions.
D. Animals in captivity generally experience fewer environmental disruptions.
B. Animals in natural habitats demonstrate behaviors rarely observed in controlled settings.
Factor the expression
x2+7x+12
(x + 3)(x + 4)
A right triangle has legs measuring 6 and 8.
What is the length of its hypotenuse?
10
If an author describes a character as "meticulous," what does this suggest about the character
The character is very careful, precise, and attentive
A class has 12 boys and 18 girls. Girls make up what percentage of the class?
60%
What does the word "although" suggest about the relationship between the two ideas
A contrast
f(x)=2x2-3
what is f(4)?
f(4) = 29
Arc length of a circle with a central angle of 10° and a circumference of 18pi
18pi/36 (or pi/2)
An author presents two differing viewpoints before explaining why one is more convincing. what is this called?
Comparing and contrasting
4, 6, 8, 10, 22
What is the mean of this data set
10
A researcher recorded the average number of hours students spent studying and their corresponding test scores.
1 hour - 65%
2 hours - 74%
3 hours - 83%
4 hours - 91%
Which statement accurately describes the data?
A. Test scores decreased as study time increased.
B. Students who studied four hours scored 26 points higher than those who studied one hour.
C. Every additional hour of studying increased scores by exactly 10 points.
D. Students who studied two hours scored higher than those who studied three hours.
B. Students who studied four hours scored 26 points higher than those who studied one hour.
2x+y=11 and x-y=1
What is the value of x in this system?
x = 4
Area Sector of a circle with a central angle of 350° and an area of 81pi
"The experiment produced unexpected results. _____, the researchers decided to repeat it."
A. Nevertheless
B. Therefore
C. Similarly
D. For example
A population of 500 bacteria increases by 20% every hour. What will the population be after 2 hours
720
A scientist claims that a newly developed fertilizer increases plant growth. In an experiment, plants receiving the fertilizer grew an average of 12 cm, while plants receiving no fertilizer grew an average of 8 cm. Both groups received equal amounts of sunlight and water.
Which statement best supports the scientist's claim?
A. Both groups of plants received equal amounts of sunlight.
B. The experiment was conducted over several weeks.
C. Some plants naturally grow faster than others.
D. Plants receiving fertilizer grew an average of 4 cm taller than the other group.
D. Plants receiving fertilizer grew an average of 4 cm taller than the other group.
solve for x
2x+1 = 32
x = 4