TSI Math Review

Front

What is the value of f(-2) for the function f(x) = 4x² - 3x - 7?

Back

f(-2) = 15.

Front

If y varies directly as x, and x = 3 when y = 24, what is y when x = 10?

Back

y = 80.

Front

Simplify the expression (3x²y³)³.

Back

27x⁶y⁹.

Front

What is a common factor of 4x² - 2xy and 6x²y - 3xy²?

Back

2x - y.

Front

If y is directly proportional to x, and y is 3 when x is 2, what is the value of x when y is 18?

Back

x = 12.

Front

Define direct variation.

Back

Direct variation occurs when two variables are related in such a way that one is a constant multiple of the other.

Front

What is the formula for direct variation?

Back

y = kx, where k is the constant of variation.

Front

How do you find the value of a function at a specific point?

Back

Substitute the specific value into the function's equation.

Front

What does it mean to simplify an expression?

Back

To reduce it to its simplest form by combining like terms and performing operations.

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.