Exam 1: Basic Concepts and Properties

A prime number is a natural number that is larger than 1 and can only be divided exactly by itself and 1. Which of the following sets of numbers contains only prime numbers?

Write the following statement as a mathematical expression. Five is less than thirty-seven.

Let y = $8$ and z = $4$ . Write the phrase as an algebraic expression, and evaluate it. z less than y

Subtract as indicated, and express your answer in lowest terms. $- \frac { 2 } { 13 } - \frac { 3 } { 65 }$

Graph the set on the number line. $\{ x \mid 3 < x < 6 \}$

Simplify the fraction to lowest terms. $\frac { 96 } { 156 }$

Find the LCM of 2, 3, and 10.

Divide. $( - 58.45 ) \div ( - 7 )$

Evaluate the expression. $2 \cdot 10 ^ { 3 } + 2 \cdot 10 ^ { 2 } + 6 \cdot 10 ^ { 1 } + 6$

Write the quotient as the quotient of two radicals and simplify. $\sqrt { \frac { 169 } { 144 } }$

Write the equation in $x = a$ form. $- 2 x + 13 = 15$

Simplify the numerical expression. $2 ^ { 7 } 2 ^ { - 4 }$

Is the statement correct? The set of primes together with the set of composites is the set of natural numbers.

Use the change of base formula to identify the expression that is equivalent to $\log _ { 5 } 8$ .

Simplify the numerical expression. $( - 2 ) ^ { 2 } - 4 ( - 2 ) ( 4 ) - ( - 5 ) ^ { 2 }$

Find the quotient. $\frac { 2 } { 7 } \div \left( - \frac { 7 } { 5 } \right)$

Simplify the expression. $9 \frac { 1 } { 2 }$

Multiply and reduce your answer to lowest terms. $- \frac { 38 } { 2 } \cdot \frac { 7 } { 19 } \cdot \frac { 1 } { 14 }$

What number is the base in the expression $( - 9 ) ^ { 2 }$ ?