Pre-Algebra/ Elementary Algebra
What is the average of the following set of numbers: 230, 155, 320, 400, and 325?
286
Which expression is the factored form of x2−x−30?
(x−6)(x+5)
What are the coordinates of the midpoint of a line segment with endpoints (2,6) and (8,2)?
(5,4)
What is the area of a circle with a diameter of 8?
16pi
What is the value of 40° expressed in radians
2pi/9
Solve for x in the equation: 4x+18=38.
x = 5
Calculate the result of the matrix multiplication:
5× [−4 2 ]
[ 0 −5]
[−20 10]
[ 0 −25]
Using the distance formula, find the distance between the points (−2,3) and (6,−6)
sqrt 145 = 12.04
In triangle ABC, the measure of angle B is 143.6°. If angles A and C are congruent, what is the measure of angle A
18.2
For an angle α in a right triangle, if sine=5/13 and tan=5/12, what is the value of cosα?
12/13
What is 6% of 1,250?
75
In a system of equations where 2x−y=7 and −4x+2y=2, what is the y-value of the solution set?
There is no solution (the lines are parallel)
What is the x-intercept of the line defined by the equation 3x+y=9
x = 3
A rectangular backyard measures 130 feet by 70 feet. What is the total length, in feet, of the fence needed to enclose it?
400
A contractor standing 50 meters from the base of a building measures an angle of elevation of 67° to the top. What expression represents the height of the building?
50 tan (67)
John weighs 1.5 times as much as Ellen. If John weighs 165 pounds, how many pounds does Ellen weigh?
110
Find the 5th term of a sequence where the 1st term is -10, the 2nd term is 1, and each subsequent term is the sum of the two preceding terms.
-17 (Terms: -10, 1, -9, -8, -17)
What is the slope of a line that is perpendicular to the line y=2/3x+5?
m = -3/2
A 4-foot-tall boy casts a shadow that is 6 feet long. If a nearby tree casts a shadow that is 18 feet long, how tall is the tree?
12 feet
In a right triangle with a hypotenuse of 16, if one angle measures 30°, what is the length of the side opposite that angle?
8
What is the sum of the prime factors of 60?
10 (The prime factors are 2, 3, and 5; 2+3+5=10)
What is the expected value of a coin toss where you win $1.00 for heads and $2.00 for tails, given that the probability of heads is 3 times the probability of tails?
$1.25
Find the equation of the line in slope−intercept form that passes through (0,1) and (1,3).
y = 2x + 1
In a circle with center O and radius 5, what is the length of arc AB if the central angle AOB measures 45°?
5pi/4
If tan A = 8/15 and the angle is in the first quadrant, what is the value of cosA?
15/17