TSI Practice Questions (Day 3)

Front

What is the function notation f(x)?

Back

f(x) represents a function of x, where f is the name of the function and x is the input variable.

Front

How do you evaluate a function at a specific point, for example, f(4) for f(x)=4x+5?

Back

To evaluate f(4), substitute 4 for x in the function: f(4) = 4(4) + 5 = 21.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by P = 2(length + width).

Front

How do you find the missing angle in a triangle if you know the other two angles?

Back

Use the fact that the sum of angles in a triangle is 180 degrees. If you know two angles, subtract their sum from 180 to find the missing angle.

Front

What is the quadratic function form?

Back

A quadratic function is in the form f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you solve for y in the equation 3x + y = 12?

Back

Rearrange the equation to isolate y: y = 12 - 3x or y = -3x + 12.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, which can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of the slope in a linear equation?

Back

The slope (m) indicates the steepness of the line and the direction it goes: positive slope means the line rises, negative slope means it falls.

Front

How do you find the value of a quadratic function at a specific point, for example, f(4) for f(x)=x^2-5x?

Back

Substitute 4 for x: f(4) = (4)^2 - 5(4) = 16 - 20 = -4.

Front

What is the relationship between the sides of a right triangle and its angles?

Back

In a right triangle, the sum of the two non-right angles is always 90 degrees.