Exam 1: Basic Concepts

Let R = the set of real numbers, N = the set of natural numbers, W = the set of whole numbers, I = the set of integers, Q = the set of rational numbers, and H = the set of irrational numbers. Answer the question. -Is H a subset of R?

Simplify the expression and write the answer without negative exponents. - $\left( \frac { pm ^ { 5 } } { q ^ { 6 } } \right) ^ { 3 }$

$\mathbf { Insert < , > , or = in~ the ~blank~ to~ make ~the ~statement~ true. }$ -| $| - 21 |$ _________ $| 21 |$

Evaluate the expression. - $( - 8 ) ^ { 2 } + ( - 2 ) ^ { 2 } + 10$

Simplify the expression. Assume that all variables represent nonzero integers. - $( x ^{( - 2 a - 3 )} ) ^ { - 5 }$

Let R = the set of real numbers, N = the set of natural numbers, W = the set of whole numbers, I = the set of integers, Q = the set of rational numbers, and H = the set of irrational numbers. Answer the question. -Is W a subset of Q?

$\mathbf { Insert < , > , or = in~ the ~blank~ to~ make ~the ~statement~ true. }$ - $| - 17 |$ _______ $- | 17 |$

Evaluate. --2.0(-15)

Express the value without exponents. - $\left( 6.6 \times 10 ^ { 3 } \right) \times \left( 4.4 \times 10 ^ { - 4 } \right)$

List the set in roster form. - $S = \{ x \mid x \text { is and integer between } 3 \text { and } 4 \}$

Evaluate. -5(-1)(9)(-9)

Evaluate. - $| - 2 | + 29$

Determine whether the statement is true or false. -Every whole number is a real number.

Evaluate the absolute value expression. - $- | - 12 |$

$\mathbf { Find~ A \cup R ~and A \cap R~ for~ the~ sets~ A~ and~ B}$ - $\mathrm { A } = \{ 1,2,3,4,5 \},$ $B = \{ 2,4,6,8 \}$

Evaluate. --7 - 13

Evaluate the expression. - $\left( 2 ^ { 4 } \right) ^ { - 3 }$

Evaluate. -0 ÷ 84

Solve the problem. -List the elements of S that are rational numbers.

Illustrate the set on a number line. - $\{ x \mid - 5 \leq x \leq 0 \text { and } x \in I \}$