Exam 12: Review of Basic Concepts and Skills

Compute the product and simplify the result.

Use the following to answer questions : -List all the numbers in the set that are elements of Q.

Use the properties of exponents to simplify the expression. Write the answer using positive exponents only..

Compute the product. -8x(x² - 5x - 7)

Rewrite the expression using the associative property of multiplication and simplify if possible.

Simplify using the quotient property of exponents. Write the answer using positive exponents only.

Factor by grouping. x⁵ + 3x³ - 5x² - 15

Find the binomial square. (4x - 3)²

Evaluate (2x - 3y)² given x = 3 and y = -1.

Use the properties of exponents to simplify the expression. Write the answer using positive exponents only.

Convert the following number to ordinary notation. The maximum distance from Pluto to the Sun is 7.3 * 10⁷ meters.

Factor the trinomial completely. x² + x - 56

Simplify the expression, assuming that the variable can represent any real number.

Translate the phrase into an algebraic expression. six fewer than a number

Factor the expression completely, if possible. Rewrite the expression in standard form and factor out "-1" if needed. If you believe the trinomial will not factor, answer "prime." 8a³ + 27

Factor the difference of perfect squares completely. 9x² - 16

Factor the expression completely, if possible. Rewrite the expression in standard form and factor out "-1" if needed. If you believe the trinomial will not factor, answer "prime." x² + 2x + 3

Simplify the expression.

Use the following to answer questions : -List all the numbers in the set that are elements of W.

Simplify the compound rational expression. Use either method.