Exam 1: Notation and Symbols

Carlo works as a waiter. He works double shifts 5 days a week. The lunch shift is 2 hours and the dinner shift is 1 hour. Find the total number of hours he works per week using the numbers 5, 2, and 1. Do the calculation two different ways so that the results give further justification for the distributive property. __________ __________

Give the opposite for .

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

Factor the following number into the product of primes. List the prime factors from smallest to largest. If the number is not factorable, indicate this.

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

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

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

For the sentence below, write an equivalent expression in symbols. The product of and is less than or equal to the sum of and .

Simplify the expression.

Simplify the expression.

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

Use the associative property to rewrite the expression, and then simplify the result.

Apply the distributive property. Simplify when possible.

Multiply.

Identify the property of real numbers that justifies the statement.

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

Perform the indicated operations. Simplify as much as possible.

Place one of the symbols or between the following to make the resulting statement true. __________

What number do you add to to get ?

Divide and reduce the answer to lowest terms.