MATH ACTIVITY

TRIGONOMETRY

100

What is the value of sin(30°)?

0.5

200

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 

300

In a right triangle, if the lengths of the two legs are 6 and 8, what is the length of the hypotenuse?

10

400

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

500

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

FINDING THE VARIABLE

100

Solve for x: 2x + 3 = 11.

x = 4

200

If 5x - 7 = 3, what is x?

x=2

300

Solve for y: 3(y - 2) = 12.

y = 6

400

If 4x + 5 = 3x + 12, find x.

x = 7

500

Solve for z in the equation: 2z + 3 = 5(z - 1).

z = 2

SIMPLIFYING EQUATIONS

100

Simplify: 3x + 2x.

5x

200

Simplify: 4(2x + 3).

8x + 12

300

Simplify: (x^2 + 5x) + (3x^2 - 2x).

4x^2 + 3x

400

Simplify: (x + 2)(x - 2).

x^2 - 4

500

Simplify: (x^2 - 1)/(x + 1).

x - 1

SCENARIOS

100

If you buy 3 apples for $2 each, how much do you spend?

$6

200

A car travels 60 miles in 1 hour. How far will it travel in 3 hours?

180 miles

300

You have a rectangle with a length of 10 and a width of 5. What is the area?

50 square units

400

If a shirt costs $25 and is on sale for 20% off, what is the sale price?

$20

500

If you invest $1000 at an annual interest rate of 5%, how much will you have after 3 years (simple interest)?

$1150