TRIGONOMETRY
What is the value of sin(30°)?
0.5
Solve for x: 2x + 3 = 11.
x = 4
Simplify: 3x + 2x.
5x
If you buy 3 apples for $2 each, how much do you spend?
$6
In a right triangle, if one angle is 30° and the hypotenuse is 10, what is the length of the side opposite the 30° angle?
5
If 5x - 7 = 3, what is x?
x=2
Simplify: 4(2x + 3).
8x + 12
A car travels 60 miles in 1 hour. How far will it travel in 3 hours?
180 miles
In a right triangle, if the lengths of the two legs are 6 and 8, what is the length of the hypotenuse?
10
Solve for y: 3(y - 2) = 12.
y = 6
Simplify: (x^2 + 5x) + (3x^2 - 2x).
4x^2 + 3x
You have a rectangle with a length of 10 and a width of 5. What is the area?
50 square units
n triangle DEF, angle D is 60°, and the length of side DE is 12. Using the sine rule, what is the length of side DF if angle E is 30°?
6
If 4x + 5 = 3x + 12, find x.
x = 7
Simplify: (x + 2)(x - 2).
x^2 - 4
If a shirt costs $25 and is on sale for 20% off, what is the sale price?
$20
In triangle XYZ, if side x = 7, side y = 24, and you need to find angle Z, what is the measure of angle Z using the cosine rule?
67.38 degrees
Solve for z in the equation: 2z + 3 = 5(z - 1).
z = 2
Simplify: (x^2 - 1)/(x + 1).
x - 1
If you invest $1000 at an annual interest rate of 5%, how much will you have after 3 years (simple interest)?
$1150