TSIA 2.0 Math CRC 20 questions

Front

What is the mean of a set of numbers?

Back

The mean is the average value, calculated by adding all the numbers together and dividing by the count of numbers.

Front

Back

To solve for x, first isolate x: 4x - 2x = 7 + 3, which simplifies to 2x = 10, so x = 5.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Front

What is the probability of an event?

Back

Probability is the measure of the likelihood that an event will occur, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

How do you find the probability of selecting a green marble from a box containing 5 red, 3 green, and 2 blue marbles?

Back

Total marbles = 5 + 3 + 2 = 10. Probability of green = Number of green marbles / Total marbles = 3/10.

Front

What does it mean to reflect a point across the x-axis?

Back

Reflecting a point (x, y) across the x-axis results in the point (x, -y).

Front

What is a 180° rotation about the origin?

Back

A 180° rotation about the origin transforms a point (x, y) to (-x, -y).

Front

Back

First, divide both sides by 2: (x + 5)^2 = 36. Then take the square root: x + 5 = ±6. Finally, solve for x: x = -5 ± 6.

Front

What is the formula for calculating the mean?

Back

Mean = (Sum of all values) / (Number of values).

Front

What is the difference between reflection and rotation in geometry?

Back

Reflection flips a shape over a line, while rotation turns a shape around a point.