TMSA ACT 01

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert each fraction to an equivalent fraction with that denominator, then add the numerators and keep the common denominator.

Front

How do you calculate the cost of gas for a trip given miles per gallon and gas price?

Back

To calculate the cost of gas for a trip, divide the total miles by the miles per gallon to find the total gallons needed, then multiply the total gallons by the price per gallon.

Front

What is the relationship between angles formed by rays that are equidistant from a point?

Back

If two rays are constructed from a point and points on those rays are equidistant from the original point, the angles formed by those rays are equal.

Front

What is the formula for the volume of a right circular cone?

Back

The volume V of a right circular cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height.

Front

How do you find the radius of a cone given its volume and height?

Back

To find the radius of a cone given its volume and height, rearrange the volume formula V = (1/3)πr²h to solve for r: r = sqrt((3V)/(πh)).

Front

What does it mean to find a percentage of a variable?

Back

Finding a percentage of a variable means multiplying the variable by the percentage expressed as a fraction (e.g., 80% of n is 0.8n or (80/100)n).

Front

What is the significance of equivalent expressions in algebra?

Back

Equivalent expressions have the same value for all values of their variables, which is important for solving equations and simplifying expressions.

Front

How do you convert a percentage to a fraction?

Back

To convert a percentage to a fraction, divide the percentage by 100 and simplify if possible (e.g., 80% = 80/100 = 4/5).

Front

What is the method for solving application-based math problems?

Back

To solve application-based math problems, identify the relevant information, determine the mathematical operations needed, set up the equation, and solve for the unknown.

Front

What is the importance of understanding units in word problems?

Back

Understanding units in word problems is crucial for ensuring that calculations are correct and that the final answer is in the appropriate units.