TSI Math Review

Front

Simplify the expression: 2x²(3xy² + x²y²)

Back

6x³y² + 2x⁴y²

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

12

Front

Simplify the expression: xy⁻³

Back

x / y³

Front

The sum of two numbers is 22 and their product is 85. What are the two numbers?

Back

5 and 17

Front

Which equation has both 1 and -3 as solutions? x² + 2x - 3 = 0

Back

x² + 2x - 3 = 0

Front

What is the definition of direct proportionality?

Back

Two quantities are directly proportional if one is a constant multiple of the other.

Front

What is the formula for the product of two numbers given their sum?

Back

If the sum is S and the product is P, then the numbers are the roots of the equation x² - Sx + P = 0.

Front

What does it mean to simplify an expression?

Back

To reduce it to its simplest form without changing its value.

Front

What is the rule for simplifying expressions with negative exponents?

Back

a⁻n = 1/aⁿ.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / 2a.