TSIA2 Math - Test 5

Front

What is the formula to calculate the average of a set of numbers?

Back

The average is calculated by summing all the numbers and dividing by the count of numbers. Formula: \( \text{Average} = \frac{\text{Sum of all values}}{\text{Number of values}} \)

Front

What is the value of x if \( \sqrt{x - 10} = 7 \)?

Back

To solve for x, square both sides: \( x - 10 = 49 \) then \( x = 59 \)

Front

How do you find the y-intercept of a function?

Back

The y-intercept is found by evaluating the function at \( x = 0 \). For example, in \( f(x) = (x-3)(x-1) + 4 \), substitute \( x = 0 \) to find the y-intercept.

Front

What is the area of a square with side length x?

Back

The area of a square is given by the formula: \( \text{Area} = x^2 \). If the area is 100, then \( x = \sqrt{100} = 10 \).

Front

What is the probability of an event?

Back

Probability is the measure of the likelihood that an event will occur, calculated as: \( P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \)

Front

If a bag contains 6 blue, 8 red, and 6 green jelly beans, how many jelly beans are there in total?

Back

Total jelly beans = 6 (blue) + 8 (red) + 6 (green) = 20 jelly beans.

Front

What is the probability of choosing a jelly bean that is NOT green from the bag?

Back

Total jelly beans that are NOT green = 6 (blue) + 8 (red) = 14. Probability = \( \frac{14}{20} = \frac{7}{10} \)

Front

What is the formula for the area of a square?

Back

The area of a square is calculated using the formula: \( A = s^2 \), where \( s \) is the length of a side.

Front

How do you solve the equation \( x^2 = 49 \)?

Back

To solve for x, take the square root of both sides: \( x = \pm 7 \)

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x = 0.