Algebra
If 3x+7=25, what is the value of x?
x = 6
A rectangle has a length of 12 inches and a width of 7 inches. Calculate its area.
84in2
In a right triangle, the side opposite angle(theta) measures 6 units and the hypotenuse measures 10 units. Calculate sin(theta).
sin(theta) = 0.6
A line passes through the points (2,3) and (6,11). Calculate the slope of the line.
m = 2
A movie theater charges $12 per adult ticket and $8 per student ticket. A group purchases 10 tickets for a total of $100. How many adult tickets and student tickets were purchased?
5 adult tickets and 5 student tickets.
Simplify the expression: 2(3x-4) + 5x
11x - 8
A right triangle has legs measuring 9 cm and 12 cm. Find the length of the hypotenuse.
15cm
In a right triangle, the side adjacent to angle(theta) measures 8 units and the hypotenuse measures 10 units. Calculate cos(theta).
cos(theta) = 0.8
Write the equation of a line with a slope of 3 and a y-intercept of -2.
y = 3x - 2
A car travels 180 miles in 3 hours at a constant speed. How far will the car travel in 5 hours at the same speed?
300 miles
Solve for all possible values of x: x2 - 9 = 0
x = 3 x = -3
A circle has a radius of 5 feet. Find its circumference in terms of pi.
10pift
A right triangle has a 30o angle and a hypotenuse of 14 inches. Find the length of the side opposite the 30o angle.
7in
Consider the table below.
x y
1 4
2 7
3 10
4 13
The pattern continues at a constant rate. Find y when x = 6.
y = 19
A jacket originally costs $80 and is discounted by 25%. What is the sale price before tax?
$60
Given the function (f(x)=2x2 - 3x + 1, evaluate f(3).
f(3) = 10
Two angles of a triangle measure 48o and 67o. Find the measure of the third angle.
65o
In a right triangle, the side opposite angle (theta) is 9 cm and the adjacent side is 12 cm. Calculate tan(theta).
tan(theta) = 0.75
A line is represented by the equation y=-2x+6. Find the x-intercept by determining the point where the line crosses the x - axis.
x-intercept (3,0) so x = 3
A rectangular garden has a perimeter of 54 feet. Its length is 3 feet greater than twice its width. Find the width and length of the garden.
w = 8ft l = 19ft
Solve the system of equations:
x + y = 12
x - y = 4
A rectangular prism measures 4 inches long, 3 inches wide, and 8 inches high. Calculate its volume.
96in3
A ladder 13 feet long rests against a vertical wall. The bottom of the ladder is 5 feet from the wall. How high up the wall does the ladder reach?
12ft
Given the function f(x)=x2 - 4, evaluate f(-3).
f(-3) = 5
A student earns $15 per hour at a part-time job and receives a one-time bonus of $20. If the student's total earnings are $125, how many hours did the student work?
7 hours