TMSA ACT 01

Front

What is the formula to calculate 80% of a number n?

Back

0.8n or \frac{80n}{100}

Front

If sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year, how do you express the sales for the first year in terms of the third year?

Back

Let sales for the first year be x. Then, sales for the second year is x + 3, and sales for the third year is 2(x + 3).

Front

In a geometric construction, if two points D and G are marked equidistant from point E, what can be said about the angles formed with a point F that is also equidistant from D and G?

Back

The angles ∠DEF and ∠GEF are equal.

Front

What is the value of -2 raised to the power of -2?

Back

-1/4

Front

How do you find the sum of two fractions, such as 5/12 and 7/18?

Back

Find a common denominator, convert the fractions, and then add the numerators.

Front

What is the process to convert a percentage to a fraction?

Back

Divide the percentage by 100 and simplify if necessary.

Front

How do you determine if two angles are equal in a geometric construction?

Back

Use the properties of isosceles triangles or the definition of equidistance.

Front

What is the significance of equidistant points in geometric constructions?

Back

Equidistant points help in creating bisectors and understanding symmetry.

Front

What is the method to solve for an unknown in a word problem involving sales?

Back

Set up an equation based on the relationships described in the problem.

Front

How do you simplify the expression \frac{5}{12} + \frac{7}{18}?

Back

Find the least common multiple of the denominators, convert each fraction, and then add.