1. Do these 4 problems -3x -21 5y2 – 25y -10x -28 -2x + 14 -3(x + 7) 5y(y - 5) -7(x + 4) – 3x 9 –(2x – 5)

2. Day Twoin Section 2.7 Understanding sets by writing IF,THEN statements. Giving counter-examples if not true.

3. Given: No integers are irrational numbers. a. EXAMPLE 5 Rewrite a conditional statement in if-then form Rewrite the given conditional statement in if-then form. Then tell whether the statement is true or false. If it is false, give a counterexample. SOLUTION If-then form: If a number is an integer, then it is not an irrational number. The statement is true.

4. Given: All real numbers are rational numbers. b.  2 The statement is false. For example, is a real number but not a rational number. EXAMPLE 5 Rewrite a conditional statement in if-then form If-then form: If a number is a real number, then it is a rational number.

5. All square roots of perfect squares are rational number. 10. EXAMPLE 5 for Example 5 Rewrite a conditional statement in if-then form GUIDED PRACTICE Rewrite the given conditional statement in if-then form. Then tell whether the statement is true or false. If it is false, give a counterexample. SOLUTION Given: All square roots of perfect squares are rational numbers. If-then form: If a number is the square root of perfect square, then it is a rational number. The statement is true.

6. All repeating decimals are irrational number. 11. EXAMPLE 5 for Example 5 Rewrite a conditional statement in if-then form GUIDED PRACTICE Rewrite the given conditional statement in if-then form. Then tell whether the statement is true or false. If it is false, give a counterexample. SOLUTION Given: All repeating decimals are rational numbers. If-then form: If a number is a repeating decimal , then it is an irrational number. The statement is false. For example, 0.333 is a repeating decimals can be written as a rational number.

7. Evaluate for the given value:

8. If the area of a square is 196 sq in, what is the length of one side? If the area of a square is 1296 ft2, what is the length of one side?

9. Assignment: Review Vocabulary Do P. 114 (#30-43, 47, 48, 53)Look at the Quiz on P. 116 (do with partner if time) Quiz tomorrow over 2.6- 2.7 Critical Vocab Words from Chapter 2 Absolute Value Coefficient Constant Terms Irrational Number Like Terms Perfect Square Rational Numbers Real # System Multiplicative Inverse

10. Name SIX Number Sets