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A teacher asked 5 students how many books they read last month. The answers were: 2, 4, 3, 5, and 3.
What is the average (mean) number of books read by these students?
The average number of books read is 3.4
A bacteria culture starts with 100 bacteria. The number of bacteria doubles every 3 hours. How many bacteria will there be after 9 hours?
There will be 800 bacteria after 9 hours.
Points Aa and Bb have coordinates A(2,5)A(2,5) and B(8,11)B(8,11).
What are the coordinates of the midpoint of Ab?
Midpoint is (5,8).
Solve the quadratic equation:
2x2−4x−6=0
Find the values of x
x=3 or x=−1
Solve the inequality:
3x−5>7
Find all values of xx that satisfy the inequality.
x>4
A group of 8 students recorded the number of pages they read in a week: 7, 9, 5, 12, 8, 10, 6, and 9 pages. Calculate the mean number of pages read.
the mean is 8.25
A small town’s population is 1,200 people. The population grows by 5% every year.
What will the population be after 4 years?
The population will be approximately 1,459 people after 4 years.
Points PP and QQ have coordinates P(−3,4)P(−3,4) and Q(5,−2)Q(5,−2). What are the coordinates of the midpoint of PQPQ?
Midpoint is (1,1).
Solve the quadratic equation:
x2+6x+8=0
Find the values of x
x=−2 or x=−4
Solve the inequality:
−2x+7≤3x+12
Find all values of xx that satisfy the inequality.
x≥−1
A class recorded the number of minutes they exercised each day for a week: 15, 20, 25, 15, 30, 20, and 15 minutes. Calculate the mean number of minutes exercised.
the mean is 20.
A tree’s height is 50 cm when planted. It grows by 12% each year.
What will the tree’s height be after 5 years?
The tree will be approximately 88.12 cm tall after 5 years
Points XX and YY have coordinates X(4,−1)X(4,−1) and Y(−2,7)Y(−2,7). What are the coordinates of the midpoint of XYXY?
Midpoint is (1,3)
Solve the quadratic equation:
3x2+2x−8=0
Find the values of x
x=4/3 or x=−2
Solve the inequalitie
4(2x−3)<3(3x+1)+2
Find all values of xx that satisfy this inequality.
x>−17
A group of 6 friends tracked how many hours they studied last week: 4, 6, 5, 7, 6, and 8 hours. Calculate the mean number of study hours.
the mean is 6.
A virus infects 200 people initially and triples every 6 hours.
How many people will be infected after 18 hours?
After 18 hours, 5,400 people will be infected.
Points MM and NN have coordinates M(−7,2)M(−7,2) and N(1,−4)N(1,−4). What are the coordinates of the midpoint of MNMN?
Midpoint is (−3,−1)(−3,−1).
Solve the quadratic equation:
4x2−12x+9=0
Find the values of x
x=3/2x
Solve the inequality:
5x+2≥3x−4
Find all values of xx that satisfy the inequality.
x≥−3
The number of pets owned by 9 students are:
2, 1, 3, 4, 2, 5, 3, 2, and 1. What is the median number of pets owned by the students?
Median=2
A savings account has an initial balance of $1,000 and grows by 8% annually due to interest.
What will the balance be after 3 years?
The account balance will be approximately $1,259.70 after 3 years.
Points CC and DD have coordinates C(3,−5)C(3,−5) and D(9,1)D(9,1). What are the coordinates of the midpoint of CDCD?
Midpoint is (6,−2)(6,−2).
Solve the quadratic equation:
5x2+10x+4=0
Find the values of x
x=−1+55orx=−1−55
Solve the inequality:
2(3x−4)<5x+1
Find all values of xx that satisfy the inequality.
x<9