Money
Measurement
Linear Equations
Basic Algebra
100

What is the term for the interest calculated on both the initial principal amount and the accumulated interest?

Compound interest.

100

Calculate the area of a rectangle with length 8 cm and width 5 cm.

40 square centimeters.

100

What would be the first term you move to solve for x:

3x-17=30.

-17.

100

What is x?

2x=10

5.

200

If you invest $500 at an annual interest rate of 5%, how much interest will you earn after one year?

$25.


200

Convert 3 meters to centimeters.

 300 centimeters.

200

Solve the equation: 2x + 5 = 13.

 x = 4.

200

What is x?

-x=5

-5

300

What is the formula for compound interest?

A = P(1 + r/n)^(nt), where A represents the final amount, P is the principal, r is the annual interest rate (expressed as a decimal), n is the number of times interest is compounded per year, and t is the time in years.

300

What is the SI unit (most common) for measuring length?

Meter (m).

300

4x - 7 > 5.

x > 3.

300

What is x?

1/x = 10

1/10

400

If you have a loan of $2,000 with an annual interest rate of 8%, how much will you owe after 3 years?

Approximately $2,593.28.

400

If the circumference of a circle is 36π cm, what is its radius?

r = 5.73.

400

Find the value of x in the equation: 2(x + 3) = 14.

x = 4.

400

What is x?

x^3=27

3

500

The interest rate for a loan is 13% p.a. This compounds fortnightly. What is the effective interest rate?

0.005%

500

What is the volume of a cylinder with height 10 cm and base radius 4 cm?

Approximately 502.65 cubic centimeters.

500

What is the point of intersection for the lines represented by the equations 4x + 3y = 10 and 2x - y = 5?

(x, y) = (2.5, 0).

500

What are the two approaches commonly used to solve algebraic equations?

Balance Method (what you do to one side you do to the other) and Opposite Operations (undo equations).