Unit+1

=Unit 1 Tools of Algebra=

Online Scientific Calculator
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Vocabulary

 * absolute value (p. 33) || evaluate (p. 12) || simulation (p. 40) ||
 * absolute value of a real number (p. 8) || experimental probability (p. 40) || solution of an equation (p. 18) ||
 * additive inverse (p. 7) || extraneous solution (p. 34) || term (p. 13) ||
 * algebraic expression (p. 12) || multiplicative inverse (p. 7) || theoretical probability (p. 41) ||
 * coefficient (p. 13) || opposite (p. 7) || tolerance (p. 36) ||
 * compound inequality (p. 28) || reciprocal (p. 7) || variable (p. 12) ||
 * || sample space (p. 41) || variable expression (p. 12) ||

1-1 Objectives
The natural numbers, whole numbers, integers, rational numbers, and irrational numbers are all subsets of the real numbers. Each real number corresponds to a point on the number line. A real number's distance from zero on the number line is its absolute value. For both addition and multiplication, real numbers satisfy the properties of closure, associativity, and commutativity. Real numbers have **additive inverses (opposites)** and **multiplicative inverses (reciprocals).** They also have additive and multiplicative identities. Real numbers satisfy the Distributive Property.
 * 1) To graph and order real numbers (p. 4)
 * 2) To identify and use properties of real numbers (p. 7)

1-2 and 1-3 Objectives
You **evaluate** an **algebraic expression** by substituting numbers for the **variables.** You simplify an algebraic expression by combining like **terms,** using the appropriate properties. To find the **solutions of an equation,** use the properties of equality. To check for **extraneous solutions,** substitute in the original equation. Some equations may have no solutions. Some equations are true for all real numbers.
 * 1) To evaluate algebraic expressions (p. 12)
 * 2) To simplify algebraic expressions (p. 13)
 * 3) To solve equations (p. 18)
 * 4) To solve problems by writing equations (p. 20)

1-4 Objectives
You can solve inequalities using properties that are similar to the properties for equations. An important difference is that multiplying or dividing each side of an inequality by a negative number reverses the inequality. Just as with equations, some inequalities are true for all real numbers, and some have no solutions. If a **compound inequality** uses //and//, the solutions must satisfy both inequalities. If a compound inequality uses //or//, the solutions may satisfy either or both of the inequalities.
 * 1) To solve and graph inequalities (p. 26)
 * 2) To solve and write compound inequalities (p. 28

1-5 Objectives
You can rewrite an equation or inequality that involves the absolute value of an **algebraic expression** as a compound sentence. You must consider both cases of the definition of absolute value. Check for extraneous solutions. Solve each equation. Check for **extraneous solutions.**
 * 1) To solve absolute value equations (p. 33)
 * 2) To solve absolute value inequalities (p. 35)

Check Point Quizzes


=Precourse Assessment=