Expressions and Operations SOL Review

Front

What is the expression for three times the sum of 2 and e?

Back

3(e + 2)

Front

What are the 9 Laws of Exponents?

Back

1. Product of Powers: a^m * a^n = a^(m+n) 2. Quotient of Powers: a^m / a^n = a^(m-n) 3. Power of a Power: (a^m)^n = a^(m*n) 4. Power of a Product: (ab)^n = a^n * b^n 5. Power of a Quotient: (a/b)^n = a^n / b^n 6. Zero Exponent: a^0 = 1 (a ≠ 0) 7. Negative Exponent: a^-n = 1/a^n 8. Fractional Exponent: a^(1/n) = √a 9. Exponent of 1: a^1 = a.

Front

Simplify: √28 * √3

Back

2√21

Front

Simplify the radical: √150

Back

5√6

Front

Evaluate 3x - 4y when x = 2 and y = 3.

Back

-6

Front

What is the definition of a radical expression?

Back

A radical expression is an expression that includes a root, such as a square root or cube root.

Front

What is the product of two square roots?

Back

√a * √b = √(a*b) for non-negative a and b.

Front

What is the sum of two square roots?

Back

√a + √b cannot be simplified further unless a and b are perfect squares.

Front

What is the definition of an exponent?

Back

An exponent indicates how many times a number (the base) is multiplied by itself.

Front

What is the value of 2^3?

Back

8