Algebra
What is the value of x in the equation 2x + 3 = 9?
x=3
What is the slope of the line given by the equation y = 4x + 2?
slope = 4
What is the area of a triangle with a base of 10 units and height of 5 units?
25 square units
What is the probability of rolling a 3 on a standard six-sided die?
1/6
If a car travels 150 miles using 5 gallons of gas, what is the car’s fuel efficiency in miles per gallon?
30 miles per gallon
Solve for y: 3y - 5 = 10
y=5
Identify the vertex of the function y = (x - 2)² + 3
vertex = (2,3)
If you have the opposite side and the adjacent side of a right triangle, which trig ratio would you use to calculate the angle?
inverse tangent
Define the median of a data set
The middle value when the data is arranged in order.
You buy 3 shirts priced at $15 each and 2 pairs of socks priced at $5 each. What is the total cost?
Simplify the expression: 4x - 3 + 2x + 5
6x + 2
What is the domain of the function f(x) = 1/(x-5)?
all real numbers except x cannot equal 5.
What is the volume of a rectangular prism with length 8, width 5, and height 2?
80 cubic units
What is the mode of the following set of numbers: 2, 3, 5, 3, 8, 3, 10?
3
A store offers a 20% discount on an item priced at $250. How much do you pay after the discount?
$200
Factor the quadratic equation: y= x² - 5x + 6
y= (x-2)(x-3)
Determine the range of the function y = 3x² - 6x + 2
y is greater than or equal to -1
Identify the type of triangle that has angles measuring 45°, 45°, and 90°.
Isosceles right triangle
If the mean of five numbers is 14 and four of these numbers are 11, 15, 18, 12, what is the fifth number?
14
If 3 pounds of bananas cost $1.80, what is the cost of 1 pound?
60 cents
Solve the system of equations: 2x + 3y = 5 and x - y = 3
x = 3, y = -1
For the function f(x) = sqrt(x-4), what is the x-value when f(x) = 3?
x=13
Describe how to find the hypotenuse of a right triangle with legs of lengths a and b
Use the Pythagorean theorem, c = sqrt(a² + b²)
A survey of 200 people finds that 120 prefer tea over coffee. If one person is selected at random from this group, what is the probability that this person prefers tea? Express your answer as a fraction, a decimal, and a percentage.
120/200, 0.6, and 60%
A rectangle field measures 150 feet by 100 feet. A farmer wants to fence the entire field. How much fencing is needed?
500 feet