Equations
Factor the following polynomial: x2+7x+12
(x+3)(x+4)
If a circle has a diameter of 10 inches, what is its circumference?
31.4 inches
In a class of 30 students, 12 are boys. What is the ratio of boys to girls in the class?
12:18 or 2:3
What is the slope of a line that passes through the points (3, 4) and (7, 10)?
1.5
Find the mean of the following set of numbers: 4, 6, 8, 10, 12.
8
Use the FOIL method to expand (x+3)(x+5) and write the quadratic equation
x2+8x+15
A circular table has a radius of 4 feet. What is the area of the table?
50.24 square feet
Solve for x: 3/4 = x/12
x=9
Which of the following sets of ordered pairs represents a function?"
Set 2
The following list shows the number of books read by 7 students in a month: 5, 7, 7, 3, 9, 10, 10. What is the mean number of books read?
7
f(x)=2x2−3x+4, what is f(3)
17
A circular pool has a diameter of 18 meters. What is the area of the pool?
254.3 square meters
In a map, the scale is 1 inch to 50 miles. If the distance between two cities on the map is 3.5 inches, how many miles apart are the cities?
175 miles
Solve the quadratic equation x2−6x+5=0 using the quadratic formula."
x=5 and x=1
The ages of 10 people in a group are as follows: 25, 30, 30, 35, 35, 40, 45, 50, 50, and 55. What is the median age?
37.5
Solve the system of equations using elimination:
x=4, y=0
(4,0)
The circumference of a circle is 31.4 inches. What is the radius of the circle? (Use 3.14 for π)"
5 inches
The ratio of the length to width of a rectangle is 5:3. If the width is 12 meters, what is the length of the rectangle?
20 meters
Two points, A(2,3) and B(6,7) are located on a coordinate plane. What is the distance between points A and B?"
4 units
Find the range of the following set of numbers: 18, 25, 12, 30, 5, 22
25
Solve the system of equations using substitution:
x=2, y=7
(2,7)
The volume of a rectangular prism is 720 cubic centimeters. The length is 12 cm, and the width is 6 cm. What is the height of the rectangular prism?
10 cm
At a factory, the ratio of workers in the assembly department to those in the packaging department is 7:5. If there are 140 workers in the assembly department, how many workers are in the packaging department?
100 workers
A line passes through the points (2, 5) and (4, -3). What is the equation of the line in slope-intercept form?
y=−4x+13
A bar graph shows the number of hours four students studied for a test. The bars indicate that Alex studied for 3 hours, Jordan for 5 hours, Taylor for 2 hours, and Casey for 6 hours. What is the mean (average) number of hours studied by these students?
4 hours