Exam 1: Notation and Symbols

Recall that the word difference indicates subtraction. The difference of a and b is a - b , in that order. Write a numerical expression that is equivalent to the following phrase, and then simplify. The difference of 5 and 3.

Use the rule for order of operations to simplify the expression as much as possible.

Complete the operation and simplify if necessary.

Expand and multiply.

Find the LCD for each of the following; then perform the indicated operation.

Find the LCD for each of the following; then perform the indicated operation and reduce answer to lowest terms.

Work the following problem using the rule for addition of real numbers.

Apply the distributive property, and then simplify the result.

Use the rule for order of operations to simplify the expression as much as possible.

Find the perimeter of an piece of notebook paper. perimeter = __________ inches

Use the rule for order of operations to simplify the expression as much as possible.

What symbol must be placed in the blank to make the resulting statement true? _____

Multiply the following.

Perform the indicated operation and reduce to lowest terms. Assume the variable represents a nonzero number.

Factor into the product of prime factors by first factoring 15 and then raising each of its factors to the third power.

What number do you subtract from 5 to get -7?

Apply the distributive property, and then simplify the result.

Find the next number in the sequence. 1, 4, 9, 16, 25, . . . (The sequence of squares.)

What is the quotient of -20 and -5?

Perform the indicated operation.